The measure of the sides of a
triangle are in the extended
ratio of 3:5:7. The perimeter
of the triangle is 45 in. What
are the measures of the three
sides?
a) 6, 16, 23
b) 8, 15, 22
c) 6,9,15
d) 3, 5, 7
e) 9, 15, 21

Answers

Answer 1

Answer:

e) 9, 15, 21

Step-by-step explanation:

First you multiply each number in the ratio by x and set it equal to the perimeter or 45 in this case.

3x + 5x + 7x = 45

Then you add the like terms and get

15x = 45

Solve for x

x = 3

Now multiply 3 by each number

3•3= 9

3•5= 15

3•7= 21

Answer: 9, 15, 21


Related Questions

Determine the measure of ∠Z. images attached

Answers

Answer:

The answer is option D

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Z

To find the value of ∠Z we use tan

We have

[tex] \tan(∠Z) = \frac{28}{25} \\ ∠Z = { \tan }^{ - 1} \frac{28}{25} \\ ∠Z = 48.239700...[/tex]

We have the final answer as

48.24°

Hope this helps you

Answer:

the answer is B)41.76

Step-by-step explanation: I took the test

AABC is isosceles.
AB = 3x - 4 and BC = 5x - 10.
AB = [?]

Answers

If AB = BC then set up the equation 3x - 4 = 5x - 10

Subtract 3x.

-4 = 2x - 10

Add 10.

6 = 2x

Divide by 2.

3 = x

AB is 3x - 4 so

3(3) - 4

9 - 4

5.

AB = 5

If AB is not equal to BC then this is not solvable.

But if they are I am sure AB = 5.

Hope this helps

Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.17x + $15.89

Answers

Complete question :

Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.17x + $15.89. How much did Hans pay for his trip?

Answer:

$92.39

Step-by-step explanation:

Given that:

Total distance = 450 miles

Amount charged for fees and taxes = $15.89

Amount charged ti redeem each mile = $0.17

In the equation:

Y = $0.17x + $15.89

X = distance Hans is flying

Y = cost of trip

Y = $0.17(450) + $15.89

Y = $76.50 + $15.89

Y = $92.39

hich statements are true? Check all that apply. Negative 2.5 = negative 2 and one-half –1.5 > –0.5 –0.5 < 0 –2.5 < –2 1 and one-half greater-than 1.5

Answers

Answer:

Negative 2.5= negative 2 and one-half, -0.5<0, -2.5 < -2.

Step-by-step explanation:

Put the words in numbers and symbols first and separate the sentence

Answer:

A C D

Step-by-step explanation:

Trust me on this I got it correct.

please help me


Claire is decorating a card for her friend. She has a square piece of paper with an area of 36 square inches. She wants to put ribbon around the edges of the paper. Find the amount of ribbon she needs to out around the edges of the paper

24 inches
16 inches
32 inches
40 inches

Answers

Answer:

yes indeed

Step-by-step explanation:

I believe it’s 24 inches or 16 inches

Order the numbers from least to greatest.
6.8
[tex] \sqrt{13} [/tex]
[tex] \frac{26}{3} [/tex]
[tex] \sqrt{ \frac{54}{3} } [/tex]

Answers

Least to Greatest: radical 13, radical 54/3, 6.8, 26/3.

Please answer correctly for brainliest

Answers

Answer:

x ≥ 15

Step-by-step explanation:

5x + 3 ≥ 48

Group like terms

5x ≥ 48 – 3

5x ≥ 45

divide both sides by 5

5x/5 ≥ 45/5

x ≥ 15

7x - 4y = -19
14x - 7y = -28

Answers

is it solve for y ?

Four different towns in the same state grew in size due to a revitalization effort. The population of town A grew from 22,000 to 24,500 in 4 years. The population of town B grew from 31,200 to 34,770 in 6 years. The population of town C grew from 18,000 to 22,000 in 5 years. The population of town D grew from 32,000 to 34,100 in 3 years. Which town had the greatest average change in population over the corresponding time period?(1 point)

Answers

Answer:

Town C.

Step-by-step explanation:

Average change of population with time for town A = [tex] \frac{24,500 - 22,000}{4} = \frac{2,500}{4} = 625 [/tex]

Average change of population with time for town B = [tex] \frac{34,770 - 31,200}{6} = \frac{3,570}{6} = 595 [/tex]

Average change of population with time for town C = [tex] \frac{22,000 - 18,000}{5} = \frac{4,000}{5} = 800 [/tex]

Average change of population with time for town D = [tex] \frac{34,100 - 32,000}{3} = \frac{2,100}{3} = 700 [/tex]

Town C had the greatest average change in population over time (800/yr).

Answer:

its c

Step-by-step explanation:

1. Mr. Samuels' bank account was in the red, at – $50. For two weeks, he worked at a few odd jobs and made $12, then $24, then $14. What will Mr. Samuels' bank account statement say after he deposits the money, he earned from working these odd jobs? Draw a number line and model the process that leads you to your ans

Answers

Answer:

0

please check the attached image for a number line

Step-by-step explanation:

Because Mr Samuels account is in the red, his account would be in the negative. Cash additions to the account would be an addition to the account. This would reduce the negative amounts in the account

-$50 + $12 + $24 + $14 = 0

solve for x .

y+2x=5

Answers

the answer is x = y/2 - 5/2

Answer:

x=-2x+5

Step-by-step explanation:

5.401×10
−1 as a standard form.

Answers

A negative exponent means to move the decimal point to the left the number of the exponent.

10^-1 you would move the decimal 1 place to the left.

5.401 x 10^-1 = 0.5401

[tex]\huge\boxed{0.5401}[/tex]

We have the equation...

[tex]\boxed{5401*10^-^1=(?)}[/tex]

Multiply 5401 by 10⁻¹.

[tex]\boxed{5401*10^-^1=0.5401}[/tex]

Therefore, your final answer is [tex]\boxed{0.5401}[/tex]

An eagle takes off from the top of a cliff that is 125 meters high and flies upward. After t seconds, the height at which the eagle is flying is given by the equation h(t) = 125 + 1.25t2 where t is in seconds. Find the instantaneous velocity of the eagle at t = 3 seconds. Round your answer to one decimal place.

Answers

Answer:

The instantaneous velocity of the eagle at the given time is  7.5 m/s.

Step-by-step explanation:

Given;

height of the cliff, h = 125 m

the height at which the eagle is flying, h(t) = 125 + 1.25t²

The velocity of the eagle is given by;

v = dh/dt

v = 2.5t

The instantaneous velocity of the eagle at t = 3 seconds is given by;

v = 2.5(3)

v = 7.5 m/s

Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is  7.5 m/s.

1. If point (7.-2) is translated right 10 and down 4. What is the new coordinate for the point?​

Answers

Answer:

The answer would be (17,-6). It's just add to the original coordinates.

Step-by-step explanation:

5x^2- 20 ÷ y - (8 + 13)

X=4 Y=5

Answers

Answer:

14

Step-by-step explanation:

Can you please help me? I will give brainliest, I appreciate it :) Thanks!

Answers

Answer:

I going to say this should be easy because there must be a f(x) in a function so I think the answer is A.

Step-by-step explanation:

I think that functions must have f(x) in the equation.

h e l p

Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and 9 cousins who live in Michigan.

What is the ratio of Quinn's cousins who live in Texas to her cousins who live in Michigan?

Answers

Answer:

4:9 is the ratio

Step-by-step explanation:

4 in Texas and 9 in Michigan

Paid the rent for the month,$650

Answers

Answer:

whats the question here

Step-by-step explanation:650 rent

Find the inverse of function f. f(x)=9x+7
A. F-1(x)= -9x-7
B.F-1(x)= 1/9x-7/9
C.F-1(x)= 7x+9
D.F-1(x)= 7/9x-1/9

Answers

Answer:

B

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9x + 7 ( subtract 7 from both sides )

y - 7 = 9x ( divide all terms by 9 )

[tex]\frac{1}{9}[/tex] y - [tex]\frac{7}{9}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex] (x) = [tex]\frac{1}{9}[/tex] x - [tex]\frac{7}{9}[/tex] → B

In a figure, such as a triangle or parallelogram, this is used to refer to the
length of one side.

Answers

Answer:

The hypotenuse is the side opposite the right angle, or defined as the longest side of a right-angled triangle,

Step-by-step explanation:

A share of stocks gained 12 points, then lost 114 points, and then gained 218 points. Find the overall change in its value.

Answers

Answer:

The overall change is 116points gained

Step-by-step explanation:

Points gained = 12points

Points lost  = 114points

Points gained  = 218points

Unknown:

Overall change in its value  = ?

Solution:

 The overall change  = Total points gained  - Total points lost

                                    = (218 + 12) - 114

                                     = 116points

The overall change is 116points gained

Answer:

its 116

Step-by-step explanation:

12 - 114

-102 + 218 = 116

Type the missing number in this sequence: 50, 42, 34, 18, 10, 2 what comes after 34?​

Answers

Answer:

The answer is 26 is after 34.

The pattern is x - 8 = y.

Step-by-step explanation:

Good luck! <3

I NEED ANSWER AND NEED TO SHOW WORK HELP!!!!

Answers

Answer:

formula to solve

Step-by-step explanation:

Regular Weekly Pay = Hourly Wage x Hours Worked

Overtime Weekly Pay = Hourly Wage x 1.5 x Overtime Hours

Overtime Hours = The amount of hours worked above-and-beyond 40

hours. If you worked 55 hours in a week, your overtime hours would

be 15.

Total Weekly Pay = Regular Weekly Pay + Overtime Weekly Pay

Total Salary = Weekly Pay x Work Weeks per Year

Example: If you earn $8.35 per hour, work 50 weeks a year, and

average 50 hours/week:

Regular Weekly Pay = 8.35 x 40 = $334

Overtime Weekly Pay = 8.35 x 1.5 x 10 = $125.25

Total Weekly Pay = $334 + $125.25 = $459.25

Total Salary = $459.25 x 50 = $22,962.50

which number has a 9 that is 1/10 the value of the 9 in 296?

Answers

Can i have the answers?
It would be something like this

129 the nine would be in one spot to the right of the other nine since it is 1/10 and any fraction number means moving the digit right and a whole number would mean moving to the left pls give brainliest

Brad is hoping to package exactly 48 baseballs together. He sees the side of a box in his storeroom that is 2 x 3. What is he hoping the other dimension is? please help me out! I need the eqation and answer and a drawing of it too! Please help me out!

Answers

The given dimensions of the base of the box are 2 x 3 units.

Let h be the height of the box.

So, the volume of the box = 2 x 3 x h ...(i)

The shape of baseball is spherical and one baseball fits in a cubical box having the minimum dimensions equal to the diameter of the spherical ball.

Assuming the diameter of the baseball is d units.

So, the volume occupied by one baseball= volume of the cubical box having the side [tex]d[/tex] units.

[tex]=d^3[/tex] cubic units

So, the volume required to pack 48 baseballs

[tex]= 48 d^3 \cdots(ii)[/tex]

Assuming that all the baseballs fit in the box, i.e peripheral balls in every horizontal and vertical layer touched the box as shown in the figure.

So, the length, 3 units and the width, 2 units, must be the integral multiple of the diameter, [tex]d[/tex] units, of the baseball. i.e

The length, [tex]3 = ad\cdots(iii)[/tex]

The width, [tex]2=bd\cdots(iv)[/tex]

The height, [tex]h=cd\cdots(iv)[/tex]

where [tex]a,b[/tex] and [tex]c[/tex]  belong to the natural number.

This required volume must be equals to the volume of the box.

From equations (i) and (ii),

[tex]2\times 3\times h=48d^3[/tex]

 [from (iii) and (iv)]

[tex]\Rightarrow abhd^2=48d^3[/tex]

[tex]\Rightarrow h=\frac{48d^3}{6abd^2}[/tex]

[tex]\Rightarrow h=\frac{48}{ab}d[/tex]

On comparing with the equation (iv)

[tex]c=\frac{48}{ab}\cdots(v)[/tex]

Now, if the diameter of the baseball is unity,i.e, d=1 unit

( integer) and (integer) [from (iii) and (iv)]

(also an integer)  [from (v)]

Now, the height of the box,

[tex]h=8 \times 1= 8[/tex] unit.

Hence, the other dimension of the box, is 8 units corrosponding to the unity diameter of the baseball.

Note the height of the box depends on the diameter of the baseball, so it will have infinite possible value for different value of the diameter.

For example, the value of height for d=1 unit has been shown.

and another example may be if units, then (integer) and (integer)

(also an integer)  [from (v)]

Now, the height of the box,

[tex]h=2 \times 0.5= 1[/tex] unit. [from (iv)]

Here, the height of the box is 2 units corrosponding to 0.5 unit diameter of the baseball.

The possivle values of d can be taken for which [tex]a,b[/tex] and [tex]c[/tex] must be integers.

What’s the greatest common factor of 156 and 260 show your work

Answers

Answer:

52

Step-by-step explanation:

156:    22       313

260:    22        513

GCF:    22         13

The Greatest Common Factor (GCF) is:   2 x 2 x 13 = 52

What’s is the answer to this problem

Answers

Answer:

B.2≤x≤5

Step-by-step explanation:

Answer:

Option B is the correct answer

Step-by-step explanation:

[tex] 2 \leqslant x \leqslant 5[/tex] is the domain of the given problem.

4y+13x-5+6y-x simplified

Answers

Answer:

[tex]12x+10y-5[/tex]

Step-by-step explanation:

[tex]4y+13x-5+6y-x[/tex]

Combine the like terms

[tex]12x+10y-5[/tex]

yall play copter royale ?

Answers

Naww I don’t play that game

Answer:

i do i am right noww lol

Step-by-step explanation:

PLEASE HELP I DONT UNDERSTANDDDD I WILL MARK BRAINLY IF CORRECT
In a petri dish, a certain type of bacterium doubles in number every 20
minutes.
There were originally 8, or 23 bacteria in the dish. After 140 minutes, the
number of bacteria has doubled 7 times, multiplying by 27.
Now the population of bacteria is 23.27. Expressed as a power, how many
bacteria are in the petri dish after 140 minutes?
A. 410
Ο Ο
B. 27
O C. 210
O D. 221

Answers

Answer:

C. 2^10

Step-by-step explanation:

Law of indices

a^x + a^y = a^(x+y)

2^3 × 2^7

=2^(3+7)

=2^10

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