triangle and trapezoid
Only a square has pairs of perpendicular sides.
Given that,
To determine among the shapes, which shape has at least one pair of perpendicular sides.
The sides of the shape that makes an angle of 90° with each other is called perpendicular sides.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
Shapes such as triangles, rhombus, and trapezoids, do not have at least a pair of perpendicular sides,
But in the square, there are 4 pairs of perpendicular sides,
Thus, Only a square has pairs of perpendicular sides.
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Need help with the provided questions
7/25 divided by 3/5 as a fraction
Answer:
\( \frac{7}{15} \)
Step-by-step explanation:
\( \frac{7}{25} \div \frac{3}{5} = \frac{7}{25} \times \frac{5}{3} = \frac{35}{75} = \frac{7}{15} \)
Hope this helps ;) ❤❤❤
The calculated division of the numbers 7/25 divided by 3/5 is 7/15
How to calculate the division of the numbersFrom the question, we have the following parameters that can be used in our computation:
7/25 divided by 3/5
When represented as an equation, we have
7/25 divided by 3/5 = 7/25 ÷ 3/5
Represent as a product expression
So, we have
7/25 divided by 3/5 = 7/25 * 5/3
So, we have the following result
7/25 divided by 3/5 = 7/15
Using the above as a guide, we have the following:
the result is 7/15
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Dan has put his coins into 2 stacks, Each stack has the same number of coins. There are 12 coins total, How many coins are in each stack?
Answer: 6
Step-by-step explanation: Division use a calculator 12/2
Answer:
6
Step-by-step explanation:
From question:
Dan has put his coins into 2 stacks
2 stacks in total
Each stack has the same number of coins
Number of coins in stack 1 = number of coins in stack 2
x = x
There are 12 coins total
Total number of coins in 2 stacks = 12
2x = 12
x = 6
There are six coins in one stack.
12 eggs cost 3 dollers how much is one egg
Work Shown:
12 eggs = 3 dollars
12/12 eggs = 3/12 dollars
1 egg = 0.25 dollars
1 egg = 25 cents
Answer:
.25 cents
Step-by-step explanation:
3/12= .25
.25 x 12= 4.00
Question 13
Which expression is equivalent to 45x - 15x? Choose all that apply.
A
30
B.
30x
с
60x
D
x(45-15)
Answer:
B. 30x
D. x(45-15)
Step-by-step explanation:
The distributive property lets you factor out the common factor of x. The sum of coefficients can be simplified to a single coefficient.
45x -15x = x(45 -15) = 30x
Which of the following groups of animals could be found in temperate grasslands?
Answer asap what’s the correct answer
All groups of animals could be found in temperate grasslands.
Grasslands occupy about a 1/4 of the earth's surface. Grasslands develop in large part as a result of climate. The two main classifications of grasslands are temperate grassland as well as tropical grassland.The American prairies are home to a variety of animals, including prey animals, wild dogs, buffalo, jackrabbits, wolves, and deer. There are many different animals living in the African veldt, such as gazelles, zebra, and rhinos. Rodents, rats, gazelle, beavers, bears, and many other animals are among the fauna of the steppe.Mammals including wolf, prairie animals, reindeer, mice, coyotes, wolves, and jackrabbits are among the inhabitants of this biome. Starlings, sparrows, owls, raptors, and quails are some of the birds found in this biome. The most common insects are grasshoppers and snakes.
All groups of animals could be found in temperate grasslands.
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Find the original slope of (-6,-1) and (0,3)
Answer:
slope (m) = 2/3
Step-by-step explanation:
slope = change in x /change in y
Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:
slope = 3 - (-1) / 0 - (-6)
= 3 + 1 / 0 + 6
= 4 / 6
= 2/3
∴ slope(m) = 2/3
rounding to the nearest hundred. 23.791
Answer:
23.79
Step-by-step explanation:
The thousandth place is less than 5, so it stays the same.
The square below represents one whole.
What percent is represented by the shaded area?
%
Answer:
70%
Step-by-step explanation:
Each blue line represents 10%. Since there are 7 blue lines, we just multiply 10% by 7 and we get 70%
Answer:
70%
Step-by-step explanation:
7 out of 10 rectangles were filled so that's 7/10. 7/10 also equals 70/100. Therefore it's 70 out of 100 or 70%.
Natalie borrowed money from her parents to pay for a trip.
Natalie will pay her parents in equal amounts every week until she pays back the entire amount she borrowed.
The table below shows the amount of money Natalie still owes her parents at the end of every two weeks for the first eight weeks.
Number of Weeks Natalie Has Paid,
�
w
Amount Natalie Still Owes,
�
d
0
0
$
180
$180
2
2
$
162
$162
4
4
$
144
$144
6
6
$
126
$126
8
8
$
108
$108
Part A
How much does Natalie pay her parents each week?
$
per week
Part B
Write a function that shows the relationship between the amount Natalie still owes,
�
d, and the number of weeks she has paid,
�
w.
Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.
We can see that Natalie is reducing the amount she owes by $18 every two weeks.
Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.
This means that after n weeks, the amount she still owes is:
$180 - $18n
Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:
$180 - P
After two weeks, she will owe:
($180 - P) - P = $180 - 2P
After four weeks, she will owe:
($180 - 2P) - P - P = $180 - 4P
After six weeks, she will owe:
($180 - 4P) - P - P = $180 - 6P
And after eight weeks, she will owe:
($180 - 6P) - P - P = $180 - 8P
We can set up an equation using the information we have:
$180 - 8P = $108
Solving for P, we get:
P = $9
Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.
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The complete question:
Natalie borrowed money from her parents to pay for a trip. Natalie will pay her parents in equal amounts every week until she pays back the entire amount she borrowed. The table below shows the amount of money Natalie still owes her parents at the end of every two weeks for the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?
Week 0 = $180
Week 2 = $162
Weeks 4 = $144
Week 6 = $126
Week 8 = $108
Order the following rational numbers from greatest to smallest.
- 7
0.40
4.1
-3/4
Miguel is measuring the worms that he has been finding in his yard. Below you will find his measurements.
The data in a number line
Notice that 3/4=0.75 (4 values), 1 (5 values), 1 1/4=1.25 (2 values), 1 1/2=1.5 (5 values), and 1 3/4=1.75 (2 values).
1) The minimum value in the data set is 3/4 while the maximum value is 1 3/4; therefore, the range is
\(range=1.75-0.75=1\)The range is 1.2) Adding the number in the data set
\(S=4*0.75+5*1+2*1.25+5*1.5+2*1.75=21.5\)The answer to part 2) is 21.5 in.3)
\(\begin{gathered} S_1=5*1.5=7.5 \\ and \\ S_2=4*\frac{3}{4}=3 \\ \Rightarrow S=7.5+3=10.5 \end{gathered}\)Thus, the answer to part 3) is 10.5 in
Decide whether application of the empirical rule is appropriate for curve a. Select the correct answer below. O A. The empirical rule is appropriate. The data set is quantitative and the distribution is roughly bell-shaped, so the empirical rule provides better estimates of the location of the observations than Chebyshev's rule. OB. The empirical rule is inappropriate. The data set is qualitative, so the curve cannot represent the data faithfully. Therefore, Chebyshev's rule provides better estimates of the location of the observations than the empirical rule. OC. The empirical rule is inappropriate. The data set is quantitative, but the distribution is asymmetric. Therefore, Chebyshev's rule provides better estimates of the location of the observations than the empirical rule. OD. The empirical rule is appropriate. The data set is quantitative and kis a real number greater than or equal to 1. so the empirical rule provides better estimates of the location of the observations than Chebysher's rule
A. The empirical rule is appropriate. The data set is quantitative and the distribution is roughly bell-shaped, so the empirical rule provides better estimates of the location of the observations than Chebyshev's rule.
About Chebyshev's ruleChebyshev's inequality says that at least 1-1 / K 2 data from the sample must be within a standard deviation K from the mean (here K is a positive real number that is greater than one).
Every data set that is normally distributed, or in the shape of a bell curve , has several features. One of them has to do with the spread of the data relative to the number of standard deviations from the mean. In the normal distribution, we know that 68% of the data is one standard deviation from the mean, 95% is two standard deviations from the mean, and about 99% is within three standard deviations from the mean.
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PLEASE HELP I REALLY NEED IT PLEASEEEE
this is the first part of a three-part problem. express 18√8 in the form a√b, where a and b are integers and b is as small as possible. Hint(s): Factor √8 as the product of two square roots, one of which is the square root of a perfect square.
Answer:
18√8 = 3√2 * 3√2
Step-by-step explanation:
I factored the square root of 8 into the square root of 2 times the square root of 2, because I believe that the square root of 8 was supposed to be factored based upon the hint provided.
This resulted in the expression 3√2 * 3√2, which is equivalent to 3*3*sqrt(2) * sqrt(2).
Simplify: ( 3x + 4xy + 6y ) + ( 4y - 2x + 3xy )
Answer:
x + 7xy + 10y
Step-by-step explanation:
Remove parenthesis:
3x + 4xy + 6y + 4y - 2x + 3xy
Group like terms:
3x + 4xy + 6y + 4y - 2x + 3xy
x + 4xy + 6y + 4y + 3xy
x + 7xy + 6y + 4y
x + 7xy + 10y
hope this helps!
Barb has a jewelry box in the shape of a rectangular pyramid. The top opens at a cross section parallel to the base
If top opens at a cross section parallel to the base of the rectangular pyramid, then the shape of the opening of the base will be rectangle
The shape of the jewelry box = Rectangular pyramid
The top opens at a cross section parallel to the base
The parallel lines are defined as the the coplanar straight line that are equal distance from each other and never meet.
The shape of the base of the rectangular pyramid is rectangle and open at a cross section parallel to the base, then the shape of the opening of the base will be same as the base
The shape of the opening of the base will be rectangle
Hence, if top opens at a cross section parallel to the base of the rectangular pyramid, then the shape of the opening of the base will be rectangle
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which two ratios form a proportion
A 1:2 and 4:2
b 1:2 6:3
c2:1 2:4
d 2:1 and 6 :3
Answer:c
Step-by-step explanation:
Did the test
Answer:
D. 2:1 & 6:3
Step-by-step explanation:
Proportion means equal so we need to see which ratios are equal.
To do that we need to make one fo the numbers in the ratio equal the corresponding number in the other ratio, then see if the other matches.
A:
1:2 & 4:2
The second number is already the same but the first isn't, therefore it is not proportional.
B:
1:2 & 6:3
To get 1 to equal 6 we must multiply it by 6, and what you do to one side you must do to the other so we have to multiply 2 by 6 as well
6:12 & 6:3
The first numbers are the same but the second isn't, therefore it is not proportional.
C:
2:1 & 2:4
The first numbers are the same but the second isn't, therefore it is not proportional
D:
2:1 & 6:3
to get 2 to equal 6 we need to multiply it by 3, which means we have to multiu 1 by 3 too
6:3 & 6:3
These are equal so this is proportional.
you want to reach $3,000 in savings over four years your account will earn 10% interest per year how much must you save each month
You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.
To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate, we can use the PMT (Payment) function.
The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.
Let's break down the given information:
Present Value (PV): $0.00 (initial account balance)
Future Value (FV): $3,000.00 (savings goal)
Interest Rate (rate): 10% per year (annual interest rate)
Number of Periods (nper): 4 years (48 months)
Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).
The formula for the PMT function is:
PMT(rate, nper, pv, [fv], [type])
Where:
rate = Interest rate per period
nper = Total number of periods
pv = Present value (initial account balance)
fv = Future value (savings goal)
type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.
We'll assume 0 for monthly savings.
Let's calculate the monthly savings using the PMT function:
PMT(10%/12, 4*12, 0, -3000, 0)
Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).
Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.
Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.
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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.
What is the product of the polynomials below?
(7x2+2x+4)(2x+5)
Answer:
This is a simple multiplication problem.
Here is my steps:
(14x^3 + 35x^2 + 4x + 10x + 8x + 20)
Combine like terms:
(14x^3 + 35x^2 + 22x + 20)
And that is your answer^^
Answer:
14x3+ 39x2 +8x +20
Step-by-step explanation:
Use the distributive property and/or the FOIL (front, outer, inner, last) method.
First:
Multiply (7x2)(2x)
=14x3
Then (7x) (5)
=35x2
Second:
Multiply (2x)(2x)
=4x2
Then (2x)(5)
=10
Third:
Multiply 4(2x)
=8x
Then (4)(5)
=20
You should get:
14x3 +35x2 +4x2 +10 +8x +10
Add all common numbers.
You should get:
14x3+ 39x2 +8x +20
What is the distance between (2,6) and (7,6)?
Answer:
The answer would be 5
Step-by-step explanation:
I rounded 5.099 to the nearest whole number
By switching service providers, a family’s telephone bill decrease from about $50 a month to about $46. What was the percent of decrease?
Answer:
92%
Step-by-step explanation:
Help help help help hep
i think that the answer is 0 because f(2) means that you substitute 2 for x
2(2)=4
4-4=0
Julio bought tables and chairs for his restaurant. He bought 16 total items and spent $1800. Each table cost $150 and each chair cost $50. Let x represent the number of tables and y represent the number of chairs. How many tables and chairs did he buy?
Answer:
He bought 6 chairs and 10 tables.
Step-by-step explanation:
x+y = 16
he spent = $1800
1 chair = $50
y chairs = $50y
1 table = $150
x chairs = $150x
so, 150x+50y = 1800
we got two equations :
x+ y = 16
150x+50y = 1800
Using. substitution method,
x+y = 16
so, x = 16-y
Now
150x+50y =1800
or, 150(16-y) + 50y = 1800
or, 2400-150y+50y = 1800
or, 2400-1800 = 150y-50y
or, 600=100y
so, y = 6
now,
x+y = 16
or, x + 6 = 16
so, x = 10
Please help!!!!
Find the surface area of the composite figure below to
the nearest tenth.
Answer:
16801.2cm²
Step-by-step explanation:
Cone :
SA = πrl
SA = π · 28 · 45 90-45 = 45
SA = 3958.406744
Cylinder :
SA = 2 · π · r · ( r+h)
SA = 2 · π · 28 ( 28 +45 )
SA = 2 · π · 28 (73)
SA = 12842.83077
12842.83077 + 3958.406744 =
16801.2cm²
Question 5 10 pointsCody is saving to buy a pair of skis and a pair of boots to go skiing this winter. Thesiis cost $129 and the boots cost $84 So far, he has saved $163. Which expressioncan be used to calculate how much more Cody needs to save before he has enoughmoney to buy the skis and the boots?$163 = ($129 + 58415129 + $84 - $163$129 + $84 = $163$129 + 584Previous Page
1) Pair of skis and a pair of boots
$129 $84
Savings So far:
$163
2) Since the sim of
The capital value (present sale value) CV of property that can be rented on a perpetual basis for R dollars annually is given by CV = integral_0^infinity Re^-it dt where i is the prevailing continuous interest rate. Show that CV = R/i. CV ~ integral_0^infinity Re^-it dt = lim_b rightarrow infinity integral_0^d Re0-it dt = lim_b rightarrow infinity Find the capital value of property that can be rented at $10#000 annually when the prevailing continuous interest rate is 6%/year. (Round your answer to the nearest whole number.)
Answer:
the capital value of the property that can be rented at $10,000 annually when the prevailing continuous interest rate is 6%/year is approximately $166,667.
Step-by-step explanation:
The capital value (present sale value) CV of property that can be rented on a perpetual basis for R dollars annually is given by the formula:
CV = ∫₀^∞ R e^(-it) dt
where i is the prevailing continuous interest rate.
To show that CV = R/i, we can evaluate the integral:
CV = ∫₀^∞ R e^(-it) dt
We can use the formula for the exponential integral, which is:
∫ e^(ax) dx = (1/a) e^(ax) + C
Using this formula, we can integrate the exponential function in the integral and obtain:
CV = [ (-R/i) e^(-it) ] from t = 0 to t = infinity
Since e^(-infinity) = 0, we have:
CV = [ (-R/i) e^(0) ] - [ (-R/i) e^(-i*0) ]
Simplifying this, we get:
CV = [ (-R/i) ] - [ (-R/i) ] = R/i
So we have shown that CV = R/i, as required.
Now, to find the capital value of property that can be rented at $10,000 annually when the prevailing continuous interest rate is 6%/year, we can use the formula CV = R/i with R = $10,000 and i = 0.06:
CV = $10,000 / 0.06 ≈ $166,667 (rounded to the nearest whole number)
Therefore, the capital value of the property that can be rented at $10,000 annually when the prevailing continuous interest rate is 6%/year is approximately $166,667.
Please answer the following question, AND NO LINKS OR YOU WILL GET REPORTED.
A parallelogram is cut from a piece of fabric. The parallelogram has a height of 8 inches and an area of 120 square inches. What is the length of the base of the parallelogram?
Answer:
The length is 15 inches squared
Step-by-step explanation:
total area / height = length
120 / 8 = 15
help please :(
57%=
Answer:
57 centimeters = 57 × 0.39370078740175 = 22.4409448819 inches.
57 inches is 144.78 centimeters.
Y=-5x+2 fill in the table using this function rule
X Y
-6 4
-3 1
0 6
3 -9
That’s the real answer
The required table will be:
X Y
-6 32
-3 17
0 2
3 -13
Since we are not given the x - values, let the x values be -6, -3, 0 and 3
Given the function of y with respect to x;
y = -5x + 2
We need to get all the y-values for the given values of x as shown;
If x = -6
y = -5 (-6) + 2
y = 30 + 2
y = 32
If x = -3
y = -5 (-3) + 2
y = 15 + 2
y = 17
If x = 0
y = -5 (0) + 2
y = 0 + 2
y = 2
If x = 3
y = -5 (3) + 2
y = -15 + 2
y = -13
Hence the required table will be:
X Y
-6 32
-3 17
0 2
3 -13
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