The interior angles of a triangle are 60,45and 75.the shortest side is 10cm less than the longest side, determine the perimeter of the triangle to the nearest cm.include a diagram please and thank you!!
Answers
Answer:
20 cm.Step-by-step explanation:
We know that the permiter is defined as
\(P=L+S+M\)
Where \(L\) is the longest side, \(S\) is the smallest and \(M\) is the middle side.
If \(L=x\) then, \(S=x-20\), where we need to find an expression for \(M\) using the law of cosines.
\(M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}\)
Replacing all expression, the perimeter is
\(P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}\)
Using a calculator, the perimeter is 20 units centimeters.
Related Questions
what does 130°30' mean
Answers
130 degrees and 30 minutes
That's minutes as in arc-minutes, a sub-division of a degree. 1 degree is made up of 60 minutes.
So 130°30' is the same as 130° + 30/60° = 130.5°.
HELP! ANSWER CORRECT FOR BRAINIEST AND 25 points! (Click question to see pic)
Answers
Please please please please help me!!!
Answers
Answer:
9c2/a4
Step-by-step explanation:
To Clarify 9c is squared and a is held to the fourth power
A hiker at a state park climbs to a ridge 1,220 feet higher than where she left the car. Then she hikes 670 feet down a steep cliff. How many feet above the car is the hiker now? The hiker is feet above the car now.
Answers
Answer:
549 ft
Step-by-step explanation:
take 670ft away from 1,220 ft ( not all the way sure of I'm right)
Answer:
550
Step-by-step explanation:
1,220+(-670)= 550
Thank you! :)
Finding the side length of a cube from its Volume in liters A technical machinist is asked to build a cubical steel tank that will hold 275 L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001 m. X 5 ?
Answers
The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.
The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.
Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):
275 liters / 1000 = 0.275 cubic meters
Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:
∛(0.275) ≈ 0.640
Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.
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find the future value of $750 deposited each month at 3.25% for 15 years
Answers
Answer:
P=1538.461
Step-by-step explanation:
do it by the formula of
I=PRT, I=750 R=3.25% T=15
Find the dimensions of a rectangle (in m) with perimeter 68 m whose area is as large as possible.
Answers
The dimension of a rectangle is 17m and 17m.
Here we have to find the area of a rectangle as large as possible.
Data given:
Perimeter = 68m
The formula for the perimeter of the rectangle:
perimeter = 2(length + breadth)
68 = 2( l + b)
l + b = 34
We have to find the largest area, so when we will take the length and breadth same then we get the largest area.
So length = breadth
2 length = 34
length = 17m
length = breadth = 17m
Therefore the dimensions are 17m and 17m.
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find the product of mode and median of the set:8,3,1,7,3,4,8,3,4,9,5
Answers
Answer:
First we put the number in order
(1 3 3 3 4 4 5 7 8 8 9)
The mode is the number that appears the most.
from the above order 3 is repeated more so 3 is the mode
The median is the middle value of a set of numbers.
from (1 3 3 3 4 4 5 7 8 8 9) the middle value is 4 so the median is 4
⇒Then the product of the mode and median
3*4=12
In a binomial situation, n=18 and π=0.60. Determine the standard
deviation*
Answers
Answer:
Use colon method
Step-by-step explanation:
So it is more easy
The isosceles triangle has a base that measures 14 units.
A triangle has a base length of 14. The other 2 sides have a length of y.
The value of y, the length of each leg, must be
equal to 7.
between 7 and 14.
greater than 7.
between 14 and 28.
Answers
The Triangle Inequality Theorem states that the sum of any sides of a triangle must be greater than the measure of the third side
so
Attached photo 1
...
therefore
the answer is
The value of y must be greater than 7
Attached photo 2
Answer:
c. greater than 7
Step-by-step explanation:
find the error javier claimed that all cubic functions are odd. is he correct? if not, provide a counterexample.
Answers
Answer:
The cubic function f(x) = x3 is symmetric about the origin (it is an odd function). Here are some types of functions that are odd: Lines Through The Origin – any line with a zero y intercept (b = 0) and a nonzero slope (m not zero) will have equation f(x) = mx.
Step-by-step explanation:
Answer: No
f(x) = x³ + 2x − 5
Step-by-step explanation:
No
f(x) = x³ + 2x − 5
Add the two expressions 6q+1 and q+11
Enter your answer into the box
Answers
Answer:
7q + 12
Step-by-step explanation:
6q + 1 + q + 11
add like terms. add 6q and q together and then add 1 and 11 together
6q + q + 1 + 11
7q + 12
7q + 12 is your answer. i hope this helps :)
Answer:
7q + 12
Step-by-step explanation:
Meghan found 15 pieces of sea glass on the beach. The next day she found 4 more pieces than she found the day before. Write and solve an equation to find how many pieces of sea glass she found altogether. Estimate to check that your answer is reasonable. Show your work.
ITS FOR MY SISTER
Answers
Answer:
34
Step-by-step explanation:
15 + 4 = 19
19 + 15 = 34
(What do they mean estimate your answer?)
An estimation is 30(?)
What is the circumference of the circle?
Answers
Answer:
\(\huge\boxed{\bf\:E) \: \: 31.4 \: \:feet}\)
Step-by-step explanation:
Since the tetherball is in the centre of the circle, any distance from it to the edge of the circle will be its radius. So, radius (r) = 5 ft.
Now, the formula for the cirumference of a circle = 2πr
Circumference of the circle
= 2πr
= 2 × 3.14 × 5 [π = 3.14]
= 31.4 feet (option E)
\(\rule{150pt}{2pt}\)
- - - - - - - - - - - - - - - - - - - - - - - - - - -
\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}}\diamond\)
What is the circumference of the circle? (Its radius is 5 ft)
\(\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond\)
The distance from the tetherball pole to the edge of the circle is the radius of the circle; we're given that it's 5 feet (ft).
We're asked to find the circumference of the circle, which can be found using the following formula:-
❖ \(\sf{C=2\pi r}\)
Where:-
C=circumferenceπ=pi (3.14...)r=radiusSubstitute 5 for r:-
\(\sf{C=2\pi (5)}\)
On simplification,
\(\sf{C=10\pi}\)
On further simplification,
\(\sf{C=31.4\:feet}\)
So we conclude that the right option is:-
\(\checkmark\dashrightarrow\bigstar\boxed{\boxed{\bold{Option\:E}}}\bigstar\dashleftarrow\checkmark\)
Good luck.-- - - - - - - - - - - - - - - - - - - - - - -- - - - - - - -
HELP ME ASAP I AM GIVING BRAINETEST
Answers
Answer:
1 and 1/6
Step-by-step explanation:
7 / 6 has a greater numerator so simplify to 1 whole and one sixth
3.02 x 10-1 =
A = 30.2
Answers
Answer:
3.02
x 10
-------
000
+302x
______
30.20
A study on students drinking habits wants to determine the true average number of alcoholic drinks all FSU graduate students have in a one week period. We know from preliminary studies that the standard deviation is around 1.79. How many students should be sampled to be within 0.5 drinks of population mean with 95% probability?
A. 50
B. 49
C. 24
D. 25
Answers
n = ((z * σ) / E)^2
where:
- n is the sample size
- z is the z-score corresponding to the desired level of confidence (95% confidence corresponds to a z-score of 1.96)
- σ is the standard deviation of the population
- E is the margin of error (half the width of the confidence interval, which in this case is 0.5)
Plugging in the given values, we get:
n = ((1.96 * 1.79) / 0.5)^2
n = 48.93
Rounding up to the nearest whole number, we get:
n = 49
Therefore, the answer is B. 49 students should be sampled to be within 0.5 drinks of the population mean with 95% probability.
x² +11x +30
-x²-11x - 30
x² - 11x + 30
-x² + 11x + 30
0
2
92
T
Given the graph above, what equation represents the function show
Answers
The graph of the polynomial equation is y = -x² - 11x - 30
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
y = -x² - 11x - 30
To find the x-intercepts, we need to set y = 0 in the equation and solve for x. We have -x² - 11x - 30 = 0
On factoring this equation, we get (-x - 6)(x + 5) = 0.
Therefore, the x-intercepts are -6 and 5
And , the y-intercept is at the point (0, -30)
Hence , the equation of graph is plotted and y = -x² - 11x - 30
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3x - 5 = -3 is the answer positive or negative
Answers
Answer:
x = 2/3
0r 0.6(6)
both are positive
Step-by-step explanation:
3x - 5 = -3 is the answer positive or negative?
3x - 5 = -3
3x = -3 + 5
3x = 2
x = 2/3
0r 0.6(6)
Dave, Ella and Franz share their electricity bills in the ratio 3:4:5. How much does each of them pay when their electricity bill is: a.$168 b.192 c.234?
Answers
Dave pays $84 for a $168 bill, $96 for a $192 bill, and $117 for a $234 bill. Ella pays $112 for a $168 bill, $128 for a $192 bill, and $156 for a $234 bill. Franz pays $140 for a $168 bill, $160 for a $192 bill, and $195 for a $234 bill.
Let's call the amount that Dave pays "3x", the amount that Ella pays "4x", and the amount that Franz pays "5x".
We know that the total ratio is \(3+4+5=12\). This means that the total amount paid for the electricity bill is. \(3x+4y+5z=12x\).
a. For $168 bill:
Dave pays 3x = 3*(672/total bill amount) = $84
Ella pays 4x = 4*(672/total bill amount) = $112
Franz pays 5x = 5*(672/total bill amount) = $140
b. For $192 bill:
Dave pays 3x = 3*(672/total bill amount) = $96
Ella pays 4x = 4*(672/total bill amount) = $128
Franz pays 5x = 5*(672/total bill amount) = $160
c. For $234 bill:
Dave pays 3x = 3*(672/total bill amount) = $117
Ella pays 4x = 4*(672/total bill amount) = $156
Franz pays 5x = 5*(672/total bill amount) = $195
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Suppose that y=f(x) and it is true that f(6)=60. Determine whether it is true or false that a possible function f(x) is f(x) = 14x -24
Answers
ANSWER
True
EXPLANATION
We have that:
f(6) = 60
That means whatever f(x) is, when we put the value of x to be 6, we will get f(x) = 60.
So, to see if f(x) = 14x - 24 is a possible function, we will replace x with 6 and find out if we get 60:
f(6) = 14(6) - 24
f(6) = 84 - 24
f(6) = 60
As we can see, we got that f(6) = 60, so, it is true that it is a possible function.
Carson owes Nigel $110. If Carson repays this debt at a rate of $15 per week, which graph best represents when, in weeks, Carson’s debt will be less than $50?
Responses
Answers
After doing the equitation the at rate of $15 per week.
How to do graph representation?
Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.
Carson owes = $110
At rate of $15 per week.
The graph representation will follows:
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A cylindrical object is 3.13 cm in diameter and 8.94 cm long and
weighs 60.0 g. What is its density in g/cm^3
Answers
A cylindrical object is 3.13 cm in diameter and 8.94 cm long and weighs 60.0 g. The density of the cylindrical object is 0.849 g/cm^3.
To calculate the density, we first need to find the volume of the cylindrical object. The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height (length) of the cylinder.
Given that the diameter is 3.13 cm, the radius is half of that, which is 3.13/2 = 1.565 cm. The length of the cylinder is 8.94 cm.
Using the values obtained, we can calculate the volume: V = π * (1.565 cm)^2 * 8.94 cm = 70.672 cm^3.
The density is calculated by dividing the weight (mass) of the object by its volume. In this case, the weight is given as 60.0 g. Therefore, the density is: Density = 60.0 g / 70.672 cm^3 = 0.849 g/cm^3.
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between 10 pm and 7:36 am the water level in a swimming pool decreased by 4/15 in. assuming that the water level decreased at a constant rate how much did the water level drop each hour ? pls helpp
Answers
Answer:
1/36 in/hourStep-by-step explanation:
Time passed between 10 PM and 7:36 AM:
2 + 7 36/60 = 9 3/5 hoursLevel decrease is 4/15 in within 9 3.5 hours
Find the decrease rate per hour:
4/15 : 9 3/5 = 4/15 : 48/5 = 4/15 * 5/48 = 1/36 in/hourtate whether the following ratios are proportional.
1) 2:3 and 4:6
2) 1:4 and 6:18
3) 3:5 and 1:3
4) 2:5 and 8:20
5) 4:9 and 12:27
6) 6:15 and 2:5
Answers
Answer:
4÷2=2
6÷2 =3
2:3 this is 4:6 in its simplest form
they are proportional or equal
Step-by-step explanation:
multiple are numbers a divide with and not get
a remainder
example 8÷4=2
8÷3=2 remainder 1 meaning that 3 in not a multiple
2) they are not proportional
6÷2=3
18÷2=9
3:9
6÷3=2
18÷3=4=6
6÷6=1
18÷6=3
1:3
this ratios are all not equal or proportional to1:4
The following variable (X) represents the number of coupons used over a 6 month period by a sample of 11 shoppers:
74, 56, 64, 57, 64, 40, 55, 64, 59, 67, 50.
Use this data to compute:
The mean, the median, the mode, the range, the variance, the standard deviation, the sum of the values of (X), and the sum of the squared deviations of each value of (X) from the mean. In addition, please explain what information is provided to us about this variable by your answers to: (1) the sample mean and (2) the sample standard deviation.
really need answer to last part that is (1) and (2)
Answers
We can compute various descriptive statistics such as the mean, median, mode, range, variance, standard deviation, sum of values, and sum of squared deviations.
The sample mean, also known as the average, provides information about the central tendency of the variable X. It represents the typical or average number of coupons used by the shoppers in the sample. In this case, calculating the mean of the given data would provide an estimate of the average number of coupons used over the 6-month period.
The sample standard deviation measures the dispersion or variability of the data points around the mean. It indicates how much the individual observations deviate from the mean value. A higher standard deviation implies greater variability, indicating a wider range of coupon usage among the shoppers in the sample.
By computing the sample mean and standard deviation, we can understand the average coupon usage and the degree of variability in the data. These statistics help us summarize and interpret the characteristics of the variable X, allowing us to make comparisons, identify outliers, assess the spread of the data, and make inferences about the larger population from which the sample was drawn.
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Find the length of the midsegment.
7
7
11
Answers
Lines of latitude on Earth are actually circles. The Tropic of Cancer is the northernmost line of latitude at which the Sun appears directly overhead at noon. The Tropic of Cancer has a radius of 5854 kilometers. To qualify for an around-the-world speed record, a pilot must cover a distance no less than the circumference of the Tropic of Cancer, cross all meridians, and land on the same airfield where he started. A. The minimum distance that a pilot must fly to qualify for an around-the-world speed record is about kilometers. Question 2 b. Estimate the time it would take for a pilot flying at an average speed of 1231 kilometers per hour to fly around the world. At this speed, it would take about hours
Answers
Answer:
The first is 36,763 second 30 hours
Step-by-step explana
Suppose that 15% of the population have cancer, 50% of the population smokes, and 75% of those with cancer smoke. What fraction of smokers have cancer
Answers
Answer:
90/140.
Step-by-step explanation:
75 + 15 = 90. Then 90 + 50 is 140.
5. Oshaunda buys a car that costs $21,000. It depreciates at 8.2% per year. a. Write an equation for the value of the car. V=21,000(1-0.082) V-21,000(0.918) B. Oshaunda tries to sell the car 4 years later. What is the car worth when it is 4 years old? Hint: Use your formula for part (a), and plug in t = 4. Use GEMA to finish the math.
Answers
Answer:
a.
\(f(t) = 21000( {.918}^{t} )\)
b.
\(f(4) = 21000( {.918}^{4}) = 14913.86\)