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Liono4ka [1.6K]
2 years ago
6

The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.

Mathematics
1 answer:
Anastaziya [24]2 years ago
3 0

Step-by-step explanation:

They have already done the math for you, you just need to draw a line with the length of 3 units, so it would look like this:

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Determine which expression has the greater value: 40-16 +10 or -20 + 18 + 30?
Paul [167]

Answer:

40-16+10

Step-by-step explanation:

40-16+10= 34

-20+18+18= 28

the greater answer is 40-16+10

8 0
4 years ago
The formula p=v^2/r gives the relationship between resistance (R), voltage (V) and power P). Solve the formula for voltage.
miv72 [106K]
The correct answer is C
6 0
3 years ago
Read 2 more answers
If a room temperature roast cools from 68°F to 25°F in 5 hours at freezer temperature of 20°F,
Deffense [45]

Answer:

9 hours

Step-by-step explanation:

According to Newton's laws of cooling

dT/dt = -k(T - A)

Let U = T - A

dU/dT = 1

dU = dT

dt/dt = -kU

dT = -kU(dt)

dU/U = -kdt

On integration

ln(U) = -kt + C

U = Ce^-kt

T - A = Ce^-kt

T(0) = 68

T(5) = 25

68 - 20 = Ce^-k(0)

C = 48

and

25 -20 = 48e^-k(5)

5 = 48e^-5k

e^-5k = 5/48

-5k = ln (5/48)

k = - ln(5/48) / 5

k = - 0.4524

T - 20 = 48e^-0.4524t

When T = 21

21 -20 = 48e^-0.4524t

1 = 48e^-0..4524t

e^-0.4524t = 1/48

-0.4524t = ln (1/48)

t = - ln(1/48) / 0.4524

t = 8.5570

t= 9 hours ( to the nearest hour)

5 0
3 years ago
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogra
lesya [120]

Answer:

8.8

Step-by-step explanation:

first you divide 28/7 (because there are 7 days in the week) you take that number, which is 4 and multiply it was 2.2 to convert the 4 kilograms into pounds.

3 0
4 years ago
Carol is building a screen door. The height of the door is one foot more than twice its width. What is the width of the door if
Arte-miy333 [17]
Hello,

A good method for solving this question is creating an equation to solve for the width of the door.

Let w = the width of the door
Let h = the height of the door

The height (h) is twice the width (2w) and one foot more (+1).
We can make the equation h = 2w + 1

Now, we are given that the height of the door is 7 feet, so h = 7.
We can simply plug in 7 for h in the equation to solve for w. 

So, we have h = 2w + 1
7 = 2w + 1
Subtract by 1 on both sides to get:
6 = 2w
Divide by 2 on both sides to get:
w = 3

The width of the door is 3 feet.

However, we should check out answer with the given question to make sure it checks out.

We are given that the height of the door is one foot more than twice its width, and the height of the door is 7 feet.

Twice the width is 6 feet, and one foot more than that is 7 feet. Our answer checks out.

The width of the door is 3 feet.

Hope this helps!

6 0
3 years ago
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