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2 years ago

What is the area of this composite shape?

Mathematics

1 answer:

guajiro [1.7K]2 years ago

8 0

Step-by-step explanation:

parallelogram area is:h×base

10×14=140

we have two so

140×2=280

traingle is:h×base/2

18-10=8=h

8×14/2=56

56×3=168

168+280=448

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Sari has to read a book for English class by the end of the week she wants to read at least 200 pages in the first 5 days of the

zimovet [89]

You divide 200 by 5 and you get 40.

3 0

2 years ago

Bryan created a scale drawing of his rectangular bedroom. His drawing had dimensions of 6 inches by 8 inches. If the scale that

vlabodo [156]

Answer:

56 feet

Step-by-step explanation:

If 1 inch = 2 feet, we can first find the actual dimensions of his room by multiplying the number of inches by 2.

6(2)

= 12

8(2)

= 16

So, the actual dimensions of his room are 12 feet by 16 feet.

To find the perimeter, use the perimeter formula, P = 2l + 2w.

Plug in the length and width:

P = 2l + 2w

P = 2(12) + 2(16)

P = 24 + 32

P = 56

So, the perimeter of his actual room is 56 feet.

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2 years ago

The volume of water remaining in a hot tub when it is being drained satisfies the differential equation dV/dt = −3(V)^1/2 , wher

dimaraw [331]

The given function is a variable separable differential equation. Combine like terms, integrate, apply the appropriate limits, and express V in terms of t. This is done as follows:

dV/dt = -3(V)^1/2
dV/-3V^1/2 = dt
$\int\limits^V_m { \frac{1}{03 \sqrt{V} } } \, dV = \int\limits^t_0 {} \, dt$

m here is the initial V which is 225. Then after integrating,

-2/3 (√V - √225) = t
-2/3 (√V - 15) = t

$V= \sqrt{ \frac{-3}{2}t+15 }$

That is the expression for V at time t. I hope I was able to help. Have a good day.

5 0

2 years ago

Write this as a power of 2. ex ( 2^n) requires knowledge of negative exponents

Snowcat [4.5K]

Answer:

Step-by-step explanation:

$\frac{32}{ \sqrt[8]{16} } \\$

Simplify

$\frac{32}{1.414213562} \\ \\ = 22.627417$

Method 2 :

By rationalizing the denominator

7 0

2 years ago

Mason works h hours each day during the 5-day workweek. He also works 5 hours on the weekend. Write an algebraic expression for

Simora [160]

Answer:

7x +5

Step-by-step explanation:

Mason works h hours each day during the 5-day workweek. He also works 5 hours on the weekend. Write an algebraic expression for the number of hours Mason works each week.

"h hours each day in the week"

There are 7 days, so 7 × x.

"5 hours on the weekend"

So, this can be written as 7x + 5.

<em>Hope I helped, have a nice day!</em>

4 0

2 years ago