1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
eduard
3 years ago
5

The ratio of the measures of the sides of a triangle is 3:4:5. Its perimeter is 48 inches. Find the scale factor as a decimal, a

nd the measure of each side of the triangle.
Mathematics
2 answers:
Leya [2.2K]3 years ago
8 0

Answer:

The scale factor is 4.

Sides are 12 inches, 16 inches, 20 inches.

Step-by-step explanation:

The ratio is 3 : 4 : 5 and the perimeter is 48 inches.

Let the scale is p.

The length of sides is 3 p , 4 p and 5 p.

So, the perimeter is

3 p + 4 p + 5 p  = 48

12 p = 48

p = 4

So, the scale factor is 4.

Sides are 12 inches, 16 inches, 20 inches.

Trava [24]3 years ago
5 0

Given:

The ratio of the measures of the sides of a triangle is 3:4:5.

Its perimeter is 48 inches.

To find:

The scale factor as a decimal, and the measure of each side of the triangle.

Solution:

Let x be the scale factor. Then the measures of sides of the triangle are 3x, 4x and 5x.

The perimeter of the triangle is 48 inches. It means the sum of all sides of the triangle is 48 inches.

3x+4x+5x=48

12x=48

Divide both sides by 12.

x=\dfrac{48}{12}

x=4

Now, the measures of sides are:

3x=3(4)

3x=12

Similarly,

4x=4(4)

4x=16

And,

5x=5(4)

5x=20

Therefore, the scale factor is 4 and the measures of sides are 12, 16 and 20.

You might be interested in
Find the value of x in the given figure of a triangle
Luba_88 [7]

In the triangle ABE

step 1

Find out the measure of angle AEB

m by form a linear pair

mm

step 2

Find out the measure of angle ABE

m by alternate interior angles

step 3

Find out the measure of angle x

Remember that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

msubstitute given values

x+100+30=180

x=180-130

<h2>x=50 degrees</h2>
5 0
1 year ago
A circle has a diameter of 14 feet. What is the circumference of the circle? Use 3:14 for pie.
Marianna [84]

Answer:

Circumference= 43.96 feet

Step-by-step explanation:

Diameter of the circle= 14 feet

Radius of the circle= 14/2= 7 feet

Circumference of the circle= 2\pi r

As, \pi =\frac{22}{7}=3.14

Circumference:

                          =2*3.14*7\\\\=3.14*14\\\\=43.96feet

The circumference of the circle with the radius= 7 feet is 43.96 feet

6 0
3 years ago
Pizzas come in 4 different sizes, each with or without a choice of 5 toppings. How many ways are there to order a pizza?
Lelu [443]

Answer:

There are 20 ways the pizza can be ordered.

Step-by-step explanation:

Choices available in Sizes = 4

Choices available is toppings = 5

Since these choices are mutually exclusive,

So, by the PERMUTATION RULE

Number of ways a pizza can be ordered is :  4  x  5  = 20

So, there are 20 ways the pizza can be ordered.

7 0
3 years ago
A) Let f(x) = 4x + 2 and g(x) = 2x^2-4. Find the formula for the composition function gof
ollegr [7]

Answer:

g o f = g(f(x)) = 32x^2 + 32x + 4

Step-by-step explanation:

Given

f(x) = 4x +2

g(x) =2x^2 - 4

Required:

Find g o f

This is calculated as:

gof = g(f(x))

g(x) =2x^2 - 4

So:

g(f(x)) = 2(4x+2)^2 - 4

g(f(x)) = 2(4x+2)(4x+2) - 4

g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4

g(f(x)) = 32x^2 + 32x + 8 - 4

g(f(x)) = 32x^2 + 32x + 4

5 0
3 years ago
Solve for the value of N N(4+6) = 11 + 29
Talja [164]
Use Math..way. Put in equation, hit solve, will give u val. for N
7 0
3 years ago
Read 2 more answers
Other questions:
  • You can represent the measures of an angle and its complement as x° and (90 − x)°. Similarly, you can represent the measures of
    15·1 answer
  • Simplify the following expression: (−3)(−2)( −2)
    9·1 answer
  • What is 69 devided by 69<br> Can yah help and add me
    8·2 answers
  • What is the gcf of 25, 35 and 45
    13·1 answer
  • What is the measure of the angle 4?
    11·1 answer
  • Please can someone give me the answers to all three of them. THIS IS TIMED PLEASE HELP ME QUICK! (30 points)
    11·1 answer
  • WILL MARK BRAINLIEST Scientist discovered that a new spider can grow 5 legs
    7·2 answers
  • Solve the equation and check your answer. If the answer is a fraction write it
    9·1 answer
  • (7x)(2xy) how do I rewrite that as a sum
    5·2 answers
  • Place value of 209,.45
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!