A triangle has a perimeter of 112 cm. Each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle.

Answers

Answer 1

Answer:

Two sides have a measure of 48 cm and the shortest side is 16 cm.

Step-by-step explanation:

this is an isosceles triangle

let x = length of shortest side

let 3x = length of other two sides

find x:

3x + 3x + x = 112

7x = 112

x = 16

3x = 48


Related Questions

circumference and area of 7ft​

Answers

Circumference: 21.991 feet
Area: 38.485 feet

Use the information given to answer the question.
Consider the number set.
16, 17, 18, 19
Part A
Which value of j in the number set makes the equation 8(i+1) - 2 = 142 true?
O 16
O 17
O 18
O 19

Answers

If your still stuck on this try the app photomath if you haven’t already, it may help!

Dillon studied 3 6/7 hours for his English test. He studied 5 3/14 hours for his math test. How much longer did he study for his math test? (Simplify the answer and write it as a mixed number.)

Answers

Answer:

[tex]1 \frac{5}{14}[/tex], [tex]\frac{19}{14}[/tex]

Step-by-step explanation:

How much longer did he study for his math test?

[tex]E=3\frac{6}{7}[/tex]

[tex]M=5\frac{3}{14}[/tex]

[tex]x=difference[/tex]

An equation for this would resemble this:

[tex]M- E=x[/tex]

Now before we get into any equation solving let's get the denominators equal to each other. we can do this by multiplying the numerator and denominator by 2.     [tex]\frac{6(2)}{7(2)}=\frac{12}{14}[/tex]

Now we can solve the equation:

[tex]5\frac{3}{14} - 3\frac{12}{14} =\frac{19}{14}[/tex]

[tex]1 \frac{5}{14}[/tex], as a mixed number

plz mark me brainliest. :0

In a children’s book, the mean word length is 3.6 letters with a standard deviation of 2.1 letters. In a novel aimed at teenagers, the mean word length is 4.4 letters with a standard deviation of 2.4 letters. Both distributions of word length are unimodal and skewed to the right. Independent random samples of 40 words are selected from each book. Let xC represent the sample mean word length in the children’s book and let xT represent the sample mean word length in the teen novel.

Find the mean of the sampling distribution of xC-xT
Calculate and interpret the standard deviation of the sampling distribution. Verify that the 10% condition is met.
Justify that the shape of the sampling distribution is approximately Normal.
What is the probability that the sample mean word length is greater in the sample from the children’s book than in the sample from the teen novel?

Answers

Answer:

Find the mean of the sampling distribution of xC-xT

Calculate and interpret the standard deviation of the sampling distribution. Verify that the 10% condition is met.

Justify that the shape of the sampling distribution

Step-by-step explanation:

2.4 letters. Both distributions of word length are unimodal and skewed to the right. Independent random samples of 40 words

R.2.95
Let x = -4 and y= 2. Evaluate the expression.
4|y| -4x
xy|
4171-4x|
If x= - 4 and y= 2, then
|xy|
---

Answers

Answer:

-24 and 8

8 and -8

Step-by-step explanation:

Let x = -4 and y= 2. Evaluate the expression.

1) 4|y| -4x

Note that |y| acan be +y or -y

4|y| -4x

= 4y - 4x

= 4(-4)-4(2)

= -16 - 8

= -24

If |y| is -y we have

4(-y) -4x

= -4y-4x

= -4(-4)-4(2)

= 4|y| -4x16 - 8

= 8

For the expression

|xy|

= xy

= -4(2)

= -8

If |xy| ix negative

= -(xy)

= -(-4*2)

= -(-8)

= 8

Hence the value is 8 and -8

9(2+2p) show distributive property

Answers

Answer:

9(2+2p)

9 x2 + 9 x 2p

18 +18p

Select all the equations where y=10y=10y, equal, 10 is a solution.

Answers

Answer:

e. po sna makatulong pa heart nalang po salamat

Answer:

Its B and C

Step-by-step explanation:

they both just make sense. And i got the answer right..

what is the largest value you can find in the interval (-5,-1)

Answers

(-5,-1) is aka -5<x<-1

This means -2 is the largest value you can find.

Perhaps that is if you are on a line graph, or if you are putting this on a line graph put an open circle (○) on -1 and -5 and draw a line in between the numbers. That's also if you are talking about real numbers and not integers this question is a bit too broad for me to actually figure out the true answer.

Find the area of the figure 14m 5m 16m 2m

Answers

Answer:

Where is the figure?

Step-by-step explanation:

where is the figure?

Help help this is 10 points

Answers

Answer:

The anwser you are looking for is number 2

Step-by-step explanation:

The side lengths of the base of a triangular prism are 6cm, 9 cm, and 11 cm. The height of the prism is 17.5 cm. What is the lateral surface area of the prism square centimeters?

Answers

Answer:

455cm2

Step-by-step explanation:

Lateral suface area=Pb*h

26*17.5=455 cm2

455cm2 hope this helps tehe

7/9 z - 18 + 1/3z if z = 27

Answers

Answer:

12

Step-by-step explanation:

7/9 x 27 - 18 + 1/3 x 27

Express 7/9 ×27 as a single fraction.

7 x 27 / 9 - 18 + 1/3 x 27

Multiply 7 and 27 to get 189.

189/9 - 18 + 1/3 x 27

Divide 189 by 9 to get 21.

21 - 18 + 1/3 x 27

Subtract 18 from 21 to get 3.

3 + 1/3 x 27

Multiply 1/3 and 27 to get 27/3.

3 + 27/3

Divide 27 by 3 to get 9.

3+9

Add 3 and 9 to get 12.

12

HELP 100 POINTS ANSWER IT PLEASE

Answers

Answer:

[tex]\boxed{\text{\large $ y=96.1\sqrt{x} $}}[/tex]

Step-by-step explanation:

Using a graphing calculator, plot (x,y) points

x = no. of jobsy = no. of workers needed

and plot the functions from the options to know which function fits the data

Answer:

Step-by-step explanation:

Using a graphing calculator, plot (x,y) points

x = no. of jobs

y = no. of workers needed

and plot the functions from the options to know which function fits the data

The mean diameter of the rim of Honda tires is 16 inches. Assume that the standard deviation of diameter of the rims is 0.3 inches. For quality control purposes, the diameter of the rims of 9 tires is measured every hour. The manager applies the rule that if the mean of diameter of a rim is greater or equal to 16.25, and lesser or equal to 15.75, the manufacturing should be stopped. If the diameter is between 15.75 and 16.25, the manufacturing process is not to be disturbed. a. Calculate the probability of stopping the manufacturing when the sample mean is 16 inches. b. Calculate the probability of stopping the manufacturing in case the mean is shifted to 16.05 inches. c. Calculate the probability of not disturbing the manufacturing if mean shifts to 16.25 inches.

Answers

Answer:

a. 0.0124 = 1.24% probability of stopping the manufacturing when the sample mean is 16 inches.

b. 0.0241 = 2.41% probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.

c. 0.5 = 50% probability of not disturbing the manufacturing if mean shifts to 16.25 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Assume that the standard deviation of diameter of the rims is 0.3 inches. Samples of 9.

This means that [tex]\sigma = 0.3, n = 9, s = \frac{0.3}{\sqrt{9}} = 0.1[/tex]

a. Calculate the probability of stopping the manufacturing when the sample mean is 16 inches.

Here we have [tex]\mu = 16[/tex]

Higher than 16.25:

This is 1 subtracted by the pvalue of Z when X = 16.25. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{16.25 - 16}{0.1}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a pvalue of 0.9938

1 - 0.9938 = 0.0062

Lower than 15.75:

This is the pvalue of Z when X = 15.75. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{15.75 - 16}{0.1}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

Probability of stopping:

2*0.0062 = 0.0124

0.0124 = 1.24% probability of stopping the manufacturing when the sample mean is 16 inches.

b. Calculate the probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.

Here we have [tex]\mu = 16.05[/tex]

Higher than 16.25:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{16.25 - 16.05}{0.1}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

Lower than 15.75:

This is the pvalue of Z when X = 15.75. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{15.75 - 16.05}{0.1}[/tex]

[tex]Z = -3[/tex]

[tex]Z = -3[/tex] has a pvalue of 0.0013

Probability of stopping:

0.0228 + 0.0013 = 0.0241

0.0241 = 2.41% probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.

c. Calculate the probability of not disturbing the manufacturing if mean shifts to 16.25 inches.

Between 16.25 and 15.75 with [tex]\mu = 16.25[/tex]. This is the pvalue of Z when X = 16.25 subtracted by the pvalue of Z when X = 15.75.

X = 16.25

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{16.25 - 16.25}{0.1}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

X = 15.75

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{15.75 - 16.25}{0.1}[/tex]

[tex]Z = -5[/tex]

[tex]Z = -5[/tex] has a pvalue of 0

0.5 - 0 = 0.5

0.5 = 50% probability of not disturbing the manufacturing if mean shifts to 16.25 inches.

There are half as many pears as grapes. There are fifteen pears.

Answers

Answer:

30 grapes, because there are half as many meaning grapes have twice the amount of the pears present

what is the segment AB please help 20 points!!!

Answers

Answer:

10

Step-by-step explanation:

the formula you use to find the distance between two points is

square root of (x1-x2)^2+(y1-y2)^2

Find the missing side lengths. Leave your answers as radicals in simplest form
30°
X
10V3
y

Answers

Answer:

x=20

y=10

Step-by-step explanation:

so as you can see this is a 30-60-90 triangle this means that y is opposite the 30 degree angle so it is 10 root three divided by root three so it is ten and x is 2y=20

PLZ HELP ME FAST !!!

Answers

Answer:

$50

Step-by-step explanation:

Answer:

I know that someone else already answered and got brainliest but I just thought to give some steps to solving because you never know who needs it ;)

The answer is 50 as the person who answered above me said.

Step-by-step explanation:

Now, to get to solving.

20% is equal to 10 dollars.To find out the total you need to reach 100% 5 multiplied by 20 is 100 10 multiplied by 5 is 50 therefore the bill was 50.

I hope this will be helpful to somebody and feel free to comment, ask questions, give feedback, and correct my steps if they are not correct!

Have a great day! :)

Find the value of x in the following parallelogram: 3 5x - 6 3x-2 x = [?] Enter​

Answers

Answer:

66

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

i need help with this down below

Answers

Answer:

hi the answer is elven twelths or 11/12

Step-by-step explanation:

first you multiply 1/8 x 2/3 which is 1/12 +5/6= 11/ 12. because you cant simplify it anymore

hope this help

Amelia had 23 sea shells. Then, she collected 10 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?

Answers

Answer:

Step-by-step explanation:

23+10-S = 33-S

m∠FDC=124°; m∠EAB=2x, m∠ACG=4x. Find: x, m∠ACD

Answers

Answer:

x=28 degrees

Step-by-step explanation:

4x = 28*4 = 112

180 degrees - 112 = 68

ACD = 68

Help me pls pls pls pls

Answers

Answer:

greater than or equal

Step-by-step explanation:

Juan and his sister collected 108 shells while at the beach. Of the shells they collected, 79 were white. Write and solve an equation that can be used to find how many white shells Juan and his sister collected.

Answers

Answer:

108-79=29

Step-by-step explanation:

Answer:

it literally says that 79 of dem were white lol

Step-by-step explanation:

a weightlifter in florida says that he can bench 300 pounds (which means he can lift 300 pounds) The weightlifter weighs x pounds. Write an equation that can be used to find t , the total weight of both the weightlifter and his weights in pounds.

Answers

Answer:

no

Step-by-step explanation:

he cant lift he's too weak

a sporting goods manufacturer requires 2/5yd of fabrick to a pair of soccer shorts how many shorts can be made from 4yd of fabric​

Answers

Answer:

10 pair of soccer shorts.

Step-by-step explanation:

Let the unknown be x.

Translating the word problem into an algebraic equation, we have;

2/5 yard = 1 pair of short

4 yard = x pair of short

Cross-multiplying, we have;

2x/5 = 4

Multiplying both sides by 5, we have;

2x = 20

x = 20/2

x = 10 pair of soccer shorts.

a stadium with 80 rows has 20 seats in the first rows,30 in the second,and so on.how many total seats are in the stadium​

Answers

Answer: there are 2,000 seats in total

Given the following diagram, find the missing measure.
?

m_2 = 50", m 3 = 100°,m _4 =
30
o 50
O 100
o 150

Answers

Answer:

m∡4 = 150°

Step-by-step explanation:

m∡1 = 30° because there are 180° in a Δ

m∡4 = 150° because angles 1 and 4 form a linear pair and must add up to 180°

Answer:

answer 180⁰

Step by Step explanation:

All angles in a triangle add up to 180.

1) add up the angles that are already given to you.

50⁰ +100⁰=150⁰.

2)Then take that away from 180⁰. which leaves you with 30⁰

What is 2/3 divided by 1/6 ( show your work )

Answers

Answer:

4

Step-by-step explanation:

2/3÷1/6

Flip the 1/6 to make it a reciprocal and then multiply

2/3•6/1

simplify by crossing out

2•2 =4

In the division problem, what does the 8 represent in the quotient 3653÷13=281
A.8 thirteens
B.18 thirteens
C.80 thirteens
D.13 eights

Answers

A 8 thirteens !!!!!!!!
Other Questions
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