Answer:
145°
Step-by-step explanation:
Angle x and the 35-deg angle are a liner pair, so they are supplementary.
The sum of the measures of two supplementary angles is 180°.
x + 35° = 180°
x = 145°
Alguien me puede ayudar
Step-by-step explanation:
a. 1
_
8
b. 1
_
7
c. 10
_
21
espero que isso te ajude
Vamos a resolver las operaciones utilizando la regla de multiplicación de fracciones y luego simplificaremos los resultados.
a) \(\sf\:\frac{1}{6} \times \frac{3}{4}\\\)
Para multiplicar estas fracciones, multiplicamos los numeradores entre sí y los denominadores entre sí:
Numerador: \(\sf\:1 \times 3 = 3\\\)
Denominador: \(\sf\:6 \times 4 = 24\\\)
Entonces, \(\sf\:\frac{1}{6}\:\times\:\frac{3}{4} = \frac{3}{24}\\\)
Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 3:
\(\sf\:\frac{3}{24} = \frac{3 \div 3}{24 \div 3} = \frac{1}{8}\\\)
Por lo tanto, el resultado simplificado es \(\sf\:\frac{1}{8}\\\).
b) \(\sf\:\frac{1}{2} \times \frac{2}{7}\\\)
Aplicando la regla de multiplicación de fracciones:
Numerador: \(\sf\:1 \times 2 = 2\\\)
Denominador: \(\sf\:2 \times 7 = 14\\\)
Entonces, \(\sf\:\frac{1}{2} \times \frac{2}{7} = \frac{2}{14}\\\)
Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 2:
\(\sf\:\frac{2}{14} = \frac{2 \div 2}{14 \div 2} = \frac{1}{7}\\\)
Por lo tanto, el resultado simplificado es \(\sf\:\frac{1}{7}\\\).
c) \(\sf\:\frac{4}{7} \times \frac{5}{6}\\\)
Siguiendo la regla de multiplicación de fracciones:
Numerador: \(\sf\:4 \times 5 = 20\\\)
Denominador: \(\sf\:7 \times 6 = 42\\\)
Entonces, \(\sf\:\frac{4}{7} \times \frac{5}{6} = \frac{20}{42}\\\)
Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 2:
\(\sf\:\frac{20}{42} = \frac{20 \div 2}{42 \div 2} = \frac{10}{21}\\\)
No podemos simplificar aún más esta fracción, por lo que el resultado simplificado es \(\sf\:\frac{10}{21}\\\).
Resumiendo las respuestas:
a) \(\sf\:\frac{1}{6} \times \frac{3}{4} = \frac{1}{8}\\\)
b) \(\sf\:\frac{1}{2} \times \frac{2}{7} = \frac{1}{7}\\\)
c) \(\sf\:\frac{4}{7} \times \frac{5}{6} = \frac{10}{21}\\\)
Use 3.14 for pi and round to the nearest tenth.
Answer:
3.1
Step-by-step explanation:
if the last number is less thank five round down
Consider functions fand g.
f(x) = -13
g(x) = |1/8x-1|
Answer:
We conclude that
(g o f) (4) = 9
Hence, option C is correct.
Step-by-step explanation:
Given
f(x) = -x³
g(x) = |1/8x - 1|
To determine
(g o f) (4) = ?
Using the formula
(g o f) (4) = g[(f(4)]
first we need to determine f(4)
so substituting x = 4 into f(x) = -x³
f(x) = -x³
f(4) = -(4)³ = -64
so
(g o f) (4) = g[(f(4)] = g(-64)
so substitute x = -64 in g(x) = |1/8x - 1|
\(g\left(x\right)=\left|\frac{1}{8}x-1\right|\)
substitute x = -64
\(g\left(-64\right)=\left|\frac{1}{8}\left(-64\right)-1\right|\)
\(=\left|-\frac{1}{8}\cdot \:64-1\right|\)
\(=\left|-8-1\right|\)
\(=\left|-9\right|\)
Apply absolute rule: |-a| = a
\(=9\)
Therefore, we conclude that
(g o f) (4) = 9
Hence, option C is correct.
find the vector parametrization ????(????) of the line that passes through the points (2,5,3) and (6,9,6). (give your answer in the form ⟨∗,∗,∗⟩. express numbers in exact form. use symbolic notation and fractions where needed.
The vector parametrization for the equation of line passing through points (2,5,3) and (6,9,6) is: r(t)= (2i + 5j + 3k) + μ(6i + 9j + 6K).
WE know that parameterization of the a curve is provided by each vector-valued function.
Since the pair of equations x = x (t) and y = y (t) that express the coordinates of a point along a curve in terms of such a parameter is known as a parameterization of a curve.
Given passing points:
(2,5,3) and (6,9,6)
In vector form;
Let vector a = 2i + 5j + 3k
Let vector b = 6i + 9j + 6K
Let μ be any constant.
Then, using the vector parametrization:
The equation of line in vector form for the given points is;
r(t)= a + μb
r(t)= (2i + 5j + 3k) + μ(6i + 9j + 6K)
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Correct question:
Find the vector parametrization for equation of the line that passes through the points (2,5,3) and (6,9,6). (Give your answer in the form 〈∗,∗,∗〉. Express numbers in exact form. Use symbolic notation and fractions where needed.)
r(t)=?
Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?
The graph of f(x) passes the vertical line test.
f(x) is a one-to-one function.
The graph of the inverse of f(x) passes the horizontal line test.
f(x) is not a function.
If g(x) is the inverse of f(x), what is the value of f(g(2))?
–6
–3
2
5
Answer:
1st q answer is f(x) is one- to -one function and 2nd q answer is 2
Answer:
1) f(x) is one - to - one function2) 2Step-by-step explanation:
inverse of f(x)Let f(x) = y
y = 2x - 3
x = y + 3 / 2
inverse of f(x) = x + 3 / 2
g(x) = inverse of f(x)f [g(2)]
f [2+3/2]
f [5/2]
(2×5/2)-3
5-3
= 2
Therefore f [g(2)] = 2Systems of Equations 3
a. -2(4 - 3x) – 6x = 10
Answer:
no solution
Step-by-step explanation:
-2(4 - 3x) – 6x = 10
Distribute the -2
-8 +6x -6x = 10
Combine like terms
-8 = 10
This is not true so there is no solution
Hayden has $20 to spend at the county fair. Admission to the fair is $5.00 per person, and tickets for food and games are $1.25 per ticket. What information is needed to calculate the amount of money that Hayden will have left after attending the fair?
Answer:
prices of food and games and tickets
-4×(-2)[2×(-6)+3×(2×6-4-4)]
\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)
➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]
➝ -4 × (-2) [2 × (-6) + 3 × (4) ]
➝ -4 × (-2) [2 × (-6) + 12 ]
➝ -4 × (-2) [(-12) + 12 ]
➝ -4 × (-2) [0]
➝ -4 × 0
➝ 0
Answer:
-4*-2
Step-by-step explanation:
the multiple of both side is 4*2*,26+*32*--=6 44
Jack and charlie each deposit $17,250 into accounts that earn 6% interest for 6.5 years. Jacks account earns annual compound interest. Who will earn more interest after 6 years, and how much more interest will they earn?
From the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.
What is the difference between simple and compound interests?
Simple interest is based on the principal amount, which is the main distinction between it and compound interest. Contrarily, compound interest is calculated using the principle sum and interest that has been compounded over the course of a period. Simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over a set period of time. Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
The complete question is given below.
Given,
The principal amount deposited by both Jack and Carlie P = $17,250
The rate of interest r = 6% = 0.06
The time period = 6.5
Jack's account earns annual simple interest and Carlie's account earns annual compound interest.
So the amount in each person's account after a time period of t = 6 years.
Jack:
Amount = P(1+rt) = 17250 ( 1 + 0.06*6) = $23,460
Carlie:
number of times compounded in a year n = 1
Amount = \(P(1 + \frac{r}{n})^{nt}\) = 17250 ( 1+0.06)⁶ = $24,469.45
Therefore from the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.
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Simplify
26.08 + (-6)^2 • (3.4-8.9)÷9
A.) 4.08
B.) 5.62
C.) -7.62
D.) -9.14
Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).
D Question 1 2 pts A merchant sells an item for $400 and offers credit terms of 1/10, n/30. If the customer decides to pay the invoice within the discount period how much cash will the merchant receive? Question 2 2 pts At the end of the year a company has a balance of $42,000 in accounts receivable and $1,000 in the allowance for doubtful accounts. Before preparing their financial statements they determine that a $200 invoice won't be collectible and they decide to write it off. What will their net receivables be on the year-end balance sheet? 2 pts D Question 4 Which of the following adjustments reflected on a bank reconciliation would require the company to make a correction into their records? none of these would require the company to record a correction into their records A check for $37 deposited during the month, but returned for non-sufficient funds. outstanding checks deposits in transit Question 5 How will the purchase of inventory on account effect the accounting equation? Have no effect on assets (asset exchange) Increase assets and liabilities Increase assets and decrease liabilities Increase assets and equity U 2 pts D Question 3 2 pts If, during the bank reconciliation process, a company determines that they forgot to record a check that was written during the month which had been paid by the bank this will show on the reconciliation as: an increase to the bank balance an increase to the book balance. a decrease to the bank balance a decrease to the book balance
The cash the merchant will receive is $400 - (1% of $400) = $400 - $4 = $396. the net receivables will be $42,000 - $200 - $1,000 = $40,800. This check needs to be subtracted from the company's records as it was not successfully deposited. Therefore, the accounting equation will be affected by an increase in assets and an increase in liabilities.
Question 1: If the merchant offers credit terms of 1/10, n/30 and the customer decides to pay within the discount period, the customer will receive a 1% discount on the $400 item. Therefore, the cash the merchant will receive is $400 - (1% of $400) = $400 - $4 = $396.
Question 2: After writing off the $200 invoice, the net receivables on the year-end balance sheet will be the accounts receivable balance minus the allowance for doubtful accounts. Thus, the net receivables will be $42,000 - $200 - $1,000 = $40,800.
Question 4: The adjustment reflected on a bank reconciliation that would require the company to make a correction in their records is a check for $37 that was deposited during the month but was returned for non-sufficient funds. This check needs to be subtracted from the company's records as it was not successfully deposited.
Question 5: The purchase of inventory on account will increase both assets and liabilities. The inventory is an asset that represents the company's stock of goods, and the accounts payable (liability) represents the amount owed to the supplier for the purchase. Therefore, the accounting equation will be affected by an increase in assets and an increase in liabilities.
Question 3: If a check was written during the month but was not recorded by the company and was paid by the bank, it will show on the bank reconciliation as an increase to the book balance. This is because the check was not initially recorded by the company, but it is a valid transaction recognized by the bank, so it increases the book balance to match the bank balance.
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John made 2 quarts of juice for a school party. He said that he made 2/4 cup of juice. A. Explain John's mistake. B. How many cups of juice did John actually make?
Answer:
A. He thought 1 quart = 1/4 cup
B. actually made 8 cups of juice
Step-by-step explanation:
From conversion,
1 cup =1/4 quarts
A. John thought 1 quarts = 1/4 cup, which was his mistake
B. His 2/4 cups is actually
4*2 = 8 cups
One leg of a right triangle is 10 units, and its hypotenuse is 12 units. What is the length of the other leg?
A.
about 7 units
B.
about 15 units
C. about 25 units
D. about 122 units
E
about 224 units
Answer:
about 7 units
Step-by-step explanation:
10\(10^{2} + b^{2} = 12^{2} \\100+b^{2} = 144 \\144- 100= 44\\=\sqrt{44} \\= 6.6\\round \\=7\)
Answer:
7 UNITS mwah <3<3<3<3<3<3<3
to exercises 4.141 and 4.137. suppose that y is uniformly distributed on the interval (0, 1) and that a > 0 is a constant. a give the moment-generating function for y. b derive the moment-generating function of w
The moment-generating function for y is given as eⁿᵇ - eⁿᵃ / n(b-a) and derivation of moment-generating function of y is e-1/t
Given that,
The interval (0, 1) is covered by a uniform distribution of y, and a > 0 is a constant.
The moment generating function is eⁿᵇ - eⁿᵃ / n(b-a)
The given interval is (0,1)
Here a =0;
b=1;
Now substitute the values of a and b in the above moment generating function we get,
y=eⁿᵇ - eⁿᵃ / n(b-a)
y=e^1-e^0/t(1-0)
y= e-1/t
Therefore, the derivation of the moment generating function is e-1/t
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Consider the function representing account C. Rewrite the function to reveal the quarterly interest rate on the account. Round the base of the exponential expression to four places, if necessary. Enter the correct answer in the box. C(t)=3,000(1. 032)^2t
This is the quarterly interest rate on the account. Rounded to four decimal places, the base of the exponential expression is 1.032.
To rewrite the function representing account C to reveal the quarterly interest rate on the account, we can rewrite the function in the form:
C(t) = C0\((1 + r)^{(nt)}\)
Where C0 is the initial amount of money in the account, r is the periodic interest rate, and nt is the number of periods over which the interest is compounded.
Substituting the values in the function,
3,000\((1.032)^{2t}\) = C0\((1 + r)^{(2t)}\)
Dividing both sides by C0, we get:
\((1.032)^{2t}\) = \((1 + r)^{(2t)}\)
Applying logarithms on both sides,:
2tln(1.032) = 2tln(1 + r)
Solving for r, we get:
r = ln(1.032)/2 = 0.0159/2 = 0.00795
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assign biggest decrease to the biggest decrease in waiting time between two consecutive eruptions. for example, the third eruption occurred after 74 minutes and the fourth after 62 minutes, so the decrease in waiting time was 74 - 62
The biggest decrease in waiting time between two consecutive eruptions is 18 minutes.
Here, we have,
To assign the biggest decrease to the biggest decrease in waiting time between two consecutive eruptions, we need to compare the decreases in waiting time for each pair of consecutive eruptions and identify the pair with the largest decrease.
Let's consider a sequence of eruption waiting times as an example:
Eruption 1: 60 minutes
Eruption 2: 70 minutes
Eruption 3: 74 minutes
Eruption 4: 62 minutes
Eruption 5: 80 minutes
To find the biggest decrease in waiting time, we compare the differences between consecutive eruptions:
Decrease between Eruption 1 and Eruption 2: 70 - 60 = 10 minutes
Decrease between Eruption 2 and Eruption 3: 74 - 70 = 4 minutes
Decrease between Eruption 3 and Eruption 4: 62 - 74 = -12 minutes
Decrease between Eruption 4 and Eruption 5: 80 - 62 = 18 minutes
From the calculations, we can see that the biggest decrease in waiting time occurs between Eruption 4 and Eruption 5, with a decrease of 18 minutes.
Therefore, the biggest decrease in waiting time between two consecutive eruptions is 18 minutes.
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In order to assign the biggest decrease to the biggest decrease in waiting time between consecutive eruptions, calculate the difference in waiting times for each pair of eruptions, and the biggest decrease will be the largest difference you find.
Explanation:To assign the biggest decrease to the biggest decrease in waiting time between two consecutive eruptions, you need to first identify the waiting times between each pair of consecutive eruptions. Then, calculate the difference in waiting times between each pair. For example, if the third eruption occurred after 74 minutes and the fourth after 62 minutes, the decrease in waiting time was 74 - 62 = 12 minutes. You repeat this process for all pairs of consecutive eruptions, and the biggest decrease in waiting time will be the largest difference you calculate.
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can someone please help me with this?
Answer:
y=2/5x+2
slope: 2/5
y=-1/4x+4
y-intercept: 4
Step-by-step explanation
The equation for slope-intercept form is y=mx+b.
m=the slope
b= the y-intercept
use the four-step method in problem solving to solve the problem. city a has an elevation of 13,764 feet above sea level while city b has an elevation of 19,343 feet below sea level. how much higher is city a than city b?
The difference between city a and city b is 33,107 feet, with city a being 33,107 feet higher than city b.
Step 1: Identify the problem.
How much higher is city a than city b?
Step 2: Gather information.
City a has an elevation of 13,764 feet above sea level while city b has an elevation of 19,343 feet below sea level.
Step 3: Analyze the information.
City a is 13,764 feet above sea level, and city b is 19,343 feet below sea level. To find the difference, we need to subtract 19,343 from 13,764.
Step 4: Formulate a solution.
The difference between the two cities is 33,107 feet. City a is 33,107 feet higher than city b.
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The local high school is hosting an ice cream social for new students. they record the ice cream choices of the students throughout the event. what is the probability that a male student chooses chocolate ice cream? a. 6/23 b. 4/7 c. 3/7 d. 3/22
The probability that a male student chooses chocolate ice cream is 3/7.
Let's assume that there are a total of N ice cream choices, and M of those choices are made by male students.
Since we don't have the exact values for N and M, we can't determine the probability directly.
However, we can use the information given in the answer choices to determine the correct option.
Let's analyze the answer choices:
a. 6/23
b. 4/7
c. 3/7
d. 3/22
Based on these options, the most likely answer would be c. 3/7, as it is the only choice that represents a fraction between 0 and 1.
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Find the missing side. Round
to the nearest tenth.
17
44°
X
X=[?]
Answer:
x is equal to 13
Step-by-step explanation:
because round to the nearest tenth
Answer: 12.2
Step-by-step explanation:
it's not 13, if you have to around it to the nearest tenth.
What is the formula for calculating slope? Explain it in full.
Answer:
Use slope formula
Step-by-step explanation:
To calculate the slope, you can use the slope formula which is the change in the height compared to the change in the width. Using ordered pairs, this is the change in the y-values divided by the change in the x-values or the rise divided by the run.
Create an example of a conditional probability and explain it. Why is it a conditional probability and what is the condition?
Suppose we have a bag containing 3 red marbles and 2 blue marbles. We draw a marble out of the bag without looking, record the color, and then put the marble back in the bag. We repeat this process 4 times, drawing one marble at a time.
Let's define the following events:
A: The first marble drawn is red.B: The second marble drawn is blue.The probability of event A occurring is 3/5, or 60%. This is because there are 3 red marbles out of a total of 5 marbles.
The probability of event B occurring is 2/5, or 40%. This is because there are 2 blue marbles out of a total of 5 marbles.
Now, suppose we want to know the probability of event B occurring, given that event A has already occurred.
In other words, we want to know the probability of event B occurring, but we are only considering cases where event A has already happened.
This is a conditional probability, and the condition is that event A has occurred.
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A. Write true or false after each sentence. If the sentence is
false, change the Capitalization word or words to make it true.
1. In the expression 7x + 15, 15 is a COEFFICIENT .
2. 3x + 7 means (3x + 7) DIVIDED BY 2
3. You can rewrite 2(4 + 8) as (2)(4) + (2)(8) using the DISTRIBUTIVE PROPERTY.
In the expression 7x + 15, 15 is a COEFFICIENT: False.
In the expression 7x + 15, 15 is a constant.
3x + 7 means (3x + 7) DIVIDED BY 2: False.
3x + 7 means 3x plus 7.
You can rewrite 2(4 + 8) as (2)(4) + (2)(8) using the DISTRIBUTIVE PROPERTY: True.
What is the distributive property of multiplication?In Mathematics, the distributive property of multiplication states that when the sum of two or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.
By applying the distributive property of multiplication to left side of the equation, we have the following:
2(4 + 8) = (2)(4) + (2)(8)
2(12) = 8 + 16
24 = 24
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An art class is painting a rectangular mural on their classroom wall . The mural will be composed of large square blocks that are 8 in. long and 16 in. high. The mural is 12 in. high. What is its length?
Part A: The outside border of each square block is covered with the blue paint. How many square inches of each block are covered by blue paint?. Part B: The entire mural will have 25 identical blocks. How many square inches of the entire mural will be covered by white paint?
Part A: Each block will have an area of 128 square inches (8 in. x 16 in.), but the outside border of each block will be covered with blue paint.
What is area?Area is the measurement of the space contained within a two-dimensional surface.
The outside border of each block is 8 in. long and 16 in. high, for a total of 128 square inches of each block that is covered in blue paint.
Part B: The entire mural will have 25 identical blocks, so the total number of square inches of the entire mural that will be covered by white paint is 3,200 square inches (25 blocks x 128 square inches per block).
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What is the slope of a line perpendicular to the line whose equation is 4x-2y=-16 Fully simplify your answer.
Two lines are perpendicular if the multiplication of their slopes is equal to -1.
Isolating y from the equation:
\(\begin{gathered} 4x-2y=-16 \\ 4x-2y+16=0 \\ 4x+16=2y \\ \frac{4x+16}{2}=y \\ \frac{4x}{2}+\frac{16}{2}=y \\ 2x+8=y \end{gathered}\)The slope of this line is 2. Therefore, the slope of the line perpendicular to this one will be:
\(\begin{gathered} m\cdot2=-1 \\ m=-\frac{1}{2} \end{gathered}\)-3(x-4)=21
i know i’m asking a lot of questions but i CANT fail this math test
Answer:
x= -3
Step-by-step explanation:
mutliply the -3 to parentheses.
-3x+12 = 21
-3x = 21-12
/-3
x= 9/-3
x= -3
Hey there!
ANSWER: \(x=-3\)EXPLANATION:\(-3(x-4)=21\)
To solve, we will need to simplify this equation.
\(-3(x-4)=21\\\)
We will need to distribute.
\((-3)(x)+(-3)(-4)=21\\\text{Equals:} -3x+12=21\)
Now we have to subtract 12 from both sides.
\(-3x+12-12=21-12\\\text{Equals:}-3x=9\)
In our last step, we have to divide both sides by -3 to get the answer.
\(\frac{-3x}{-3} =\frac{9}{-3}\\ \text{Equals: }x=-3\)
Hope this helps!
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Round 3.55 to the nearest whole number
Answer:
i think the answer is 4
BEING TIMED, find perimeter! help please:(
(15 points)
Answer:
96 cm
Step-by-step explanation:
Here are the lengths of all the sides starting with the left vertical side and moving clockwise:
Left vertical side: 17 cm
Top horizontal side: 25 cm
Right vertical side: 17 cm
Bottom horizontal side at right: 3 cm
Inside vertical side on right side: 8 cm
Inside horizontal side in middle: 11 cm
Diagonal side: 10 cm
Bottom horizontal side at left: 5 cm
-----------------------------------------------------------------------------------
Add all side lengths:
perimeter = 17 cm + 25 cm + 17 cm + 3 cm + 8 cm + 11 cm + 10 cm + 5 cm
perimeter = 96 cm
Yal my someone please help me with this, its teh last thing i have to do
tysm
Answer:
(In order from top to bottom) 1/2, 3/14, 1/10, 0
Step-by-step explanation:
1. 5/6 - 1/3
Make the denominators have matching numbers. The simplest way to do this is to multiple 1/3 by two. This will result in 2/6.
The new equation will look like: 5/6 - 2/6. Then you just subtract the numerators and simplify. 3/6 -> 1/2
2. 5/7 - 1/2
Again, you have to make the denominators have matching numbers. This is a little more complicated. Find the least common multiple. The LCM should be 14, so you'll have to multiply the first fraction by 2, and the second fraction by 7.
It will look like 10/14 - 7/14. Follow the steps from the previous problem to get your answer. In this case, you cannot simplify your answer.
The last two problems will follow the same steps as the first two.
Hope this helped!
Answer:
1/3
3/14
1/10
0
Step-by-step explanation:
1) 5/6-1/3
find common denominator, in this case is 6, so change the 1/3 into 2/6 by multiplying by 2
so you're left with 5/6-2/6= 3/6
reduce 3/6 to 1/2
2) 5/7-1/2
Find common denominator, in this case is 14, so change the fractions until they both have a denominator of 14
then:
10/14-7/14= 3/14
already fully reduced
3) 3/5-1/2
common denominator is 10, so change both fractions until they both have a denominator of 10
6/10-5/10= 1/10
already fully reduced
4) 4/8-1/2
common denominator is 2
reduce the 4/8 to 1/2.
1/2-1/2=0