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Temka [501]
3 years ago
7

What is the area of a rectangle whose length is 12 and whose diagonal is 13?

Mathematics
2 answers:
never [62]3 years ago
7 0

Answer: draw the rectangle. you can see that the diagonal will then be the hypotenuse of a right triangle

Step-by-step explanation:

Naya [18.7K]3 years ago
5 0
Answer: 60

Explanation: A=wl
d= square root of w^2 +l^2

Solving for A:

A=l square root of d^2-l^2= 12* square root of 13^2- 12^2=60

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Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she
Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

x+y+y=180\\\\x+2y=180\\\\x=180-2y

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

x=4y

Replacing this value into the first equation, we have

4y=180-2y\\\\
6y=180\\\\
y=30

Therefore,

x=(4)(30)=120

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

(120)(30)=3600

The fence encloses 3600 sq ft.


4 0
3 years ago
The temperature dropped 6 °F every hour for 6 hours. What was the total number of degrees the
morpeh [17]

Answer:

This problem is a rate times time problem.  To find the total amount, you must take the rate per unit of time, and multiply it by the given unit of time

Step-by-step explanation:

-5degrees/hr x 6hr=-30 degrees

6 0
3 years ago
50 POINTS QUESTION ATTACHED. CHOOSE TWO CORRECT ANSWERS!
OlgaM077 [116]

Answer:

B and D

Step-by-step explanation:

A difference of squares has the form a² - b²

4p² - 9 = (2p)² - 3² ← is a difference of squares

q² - 36 = q² - 6² ← is a difference of squares

4 0
3 years ago
A cylinder has a base diameter of 16 feet and a height of 19 feet. What is its volume in cubic feet, to the nearest tenths place
Tresset [83]

Answer: Volume = 3818.2 cubic feet

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Diameter = 16 feet

Radius = diameter/2 = 16/2

Radius = 8 feet

Height = 19 feet

Therefore,

Volume = 3.14 × 8² × 19

Volume = 3.14 × 64 × 19

Volume = 3818.2 cubic feet rounded to the nearest tenth

6 0
3 years ago
Ria says that that if you multiply a number by , the answer would be smaller than the10 −4 answer you find when you multiply the
Karo-lina-s [1.5K]

Answer:

5875233

Step-by-step explanation:

7 0
2 years ago
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