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
Ulleksa [173]
3 years ago
13

If the sides of a square are increased by 3 inches, the area becomes 64

Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

Length\ of\ the\ side=5\ inches

Step-by-step explanation:

Let x be the length of the sides of the original square.

Given:

The sides of a square are increased by 3 inches, the area becomes 64

So, the length of the side x+3

The area of the square is

Area=(length\ of\ the\ side)^{2}

Area=(x+3)^{2}

Substitute area value in above equation.

64=(x+3)^{2}

(x+3)=(64)^{\frac{1}{2}}

x+3=\sqrt{64}

x+3=\sqrt{8^{2}}

x+3=8

x=8-3

x=5\ inches

Therefore, the length of the sides of the original square is 5 inches.

You might be interested in
Find the measure of the the sides of DEF then classify it by it sides. <br> D(8,-6) E(-1,-3) F(-2,5)
Mama L [17]

Answer:

Part a) The measure of the sides of triangle DEF are

d_D_E=\sqrt{90}\ units

d_E_F=\sqrt{65}\ units

d_D_F=\sqrt{221}\ units

Part b) Is a scalene triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have the coordinates

D(8,-6) E(-1,-3) F(-2,5)

step 1

Find the length side DE

D(8,-6) E(-1,-3)

substitute in the formula

d=\sqrt{(-3+6)^{2}+(-1-8)^{2}}

d=\sqrt{(3)^{2}+(9)^{2}}

d_D_E=\sqrt{90}\ units

step 2

Find the length side EF

E(-1,-3) F(-2,5)

substitute in the formula

d=\sqrt{(5+3)^{2}+(-2+1)^{2}}

d=\sqrt{(8)^{2}+(-1)^{2}}

d_E_F=\sqrt{65}\ units

step 3

Find the length side DF

D(8,-6) F(-2,5)

substitute in the formula

d=\sqrt{(5+6)^{2}+(-2-8)^{2}}

d=\sqrt{(11)^{2}+(-10)^{2}}

d_D_F=\sqrt{221}\ units

step 4

Classify the triangle by the measure of its sides

we have

d_D_E=\sqrt{90}\ units

d_E_F=\sqrt{65}\ units

d_D_F=\sqrt{221}\ units

so

Is a scalene triangle, because is a triangle in which all three sides have different lengths.

6 0
3 years ago
Which of the following segments is a radius of OO?
Sergio039 [100]

Answer:

RO

Step-by-step explanation:

3 0
3 years ago
40% of x is 35. What is the equation to find x
Dima020 [189]

Answer:

.40 x = 35  equation

x = 87.5

Step-by-step explanation:

Of means multiply and is means equals

40% * x = 35

Change percent to decimal form

.40 x = 35

Divide each side by .40

.40x/.40 = 35/.40

x = 35/.40

x =87.5

4 0
3 years ago
Read 2 more answers
A high school track is shaped as a rectangle with a half circle on either side. Jasmine plans on running TWO laps. How many yard
finlep [7]

Answer:

880 yards

Step-by-step explanation:

4 0
3 years ago
Lee wants to gain 10lbs of lean muscle mass. His dietitian suggested the consume 2400 kcal each day and that 25% of his cal come
goldfiish [28.3K]

Answer:

a) He needs to consume 600 kcal from protein.

b) 22 kcal come from fat.

Step-by-step explanation:

a) Lee needs to consume 2400 kcal each day and 25% of this income should come from protein.

We are going to use percentages to solve this problem, to find out how many kcal from protein he should consume we need to multiply 2400 by .25.

2400 (.25) = 600

Lee needs to consume 600 kcal from protein.

b)  A cup of chili contains 220 kcal If 15% of kcal come from fat how many kcal come from fat?

We are going to solve this in a similar way.

We should multiply the total amount of kcal by .15 which is the amount of fat calories.

220 (.15) = 33

33 kcal come from fat.

7 0
3 years ago
Other questions:
  • 5x - x + 12 +2x - 7 = 10
    9·2 answers
  • Find the number of gallons of paint needed to cover the sides of the building shown with two coats of paint if one gallon covers
    5·2 answers
  • Question down below in the picture :DD
    8·1 answer
  • Find the length of x. Assume the triangles are similar.
    12·1 answer
  • College Board
    13·1 answer
  • Write the sentence as a conditional statement. All acute angles have measures less than 90°.
    7·2 answers
  • Given the following right triangle, what is the measure of angle A?
    15·1 answer
  • I bought 5 gallons of gas for 1770 what is the unit price for gas per gallon​
    13·2 answers
  • Write an equation and solve<br><br> Nine less than five times a number equals 71. Find the number
    5·2 answers
  • What is 100% of $65?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!