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xeze [42]
3 years ago
15

Find the area of the trapezoidal cross-section of the irrigation canal shown below. Your answer will be in terms of h, w, and θ.

Mathematics
1 answer:
Setler [38]3 years ago
5 0
The answer is :h^2/tanθ+wh
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A city has a population of 280,000 people. suppose that each year the population grows by 4.5% . what will the population be aft
Anastasy [175]

Given that population of the city is 280000.

Rate of growth of the population = r = 4.5% = 0.045

We have to find population after 15 years so time

t = 15

We can use growth formula to find the required population which is given by :

A=P(1+r)^t

Where P= starting population = 280000

r= rate of growth = 0.45

t= time = 15

now plug these values into above formula.

A=280000(1+0.45)^{15}

A=280000(1.45)^{15}

A=280000(263.34194176)

A=73735743.6928

Hence population after 15 years will be approx 73735743.

8 0
3 years ago
*GEOMETRY*please help me find the surface area of the solid along with the volume of it step by step!
Serjik [45]

Surface area of the solid = 7.1781 in²

Volume of the solid = 0.804 in³

Explanation:

Surface area of the solid = surface area of the square prism - 2(base of the cylinder) + lateral surface of cylinder

surface area of a square prism = 2(lw + lh + wh)

l = length = 1 in

w = length = 1 in

h = height = 1 in

\begin{gathered} \text{Surface area = 2(1}\times1\text{ + 1}\times1\text{ + 1}\times1) \\ \text{Surface area = 2(1 + 1 + 1) = 2(3)} \\ \text{Surface area = 6 in }^2 \end{gathered}

using the value π as it is on the calculator

Base area of a cylinder = πr²

2(Base area of cylinder) = 2πr² = 2π(0.25)² = 0.3927

Lateral surface area = 2πrh = 2π(0.25)(1) = 1.5708

Surface area of the solid = 6 - 0.3927 + 1.5708

Surface area of the solid = 7.178 in²

Volume of the solid = Volume of the square prism - volume of the cylinder

Volume of square prism = length × width × height

length = 1 in, width = 1 in, height = 1 in

Volume of the solid = 1 in × 1 in × 1 in = 1 in³

Volume of a cylinder = πr²h

Volume of the cylinder = π × 0.25 × 0.25 × 1 = 0.196

Volume of the solid = 1 - 0.196

Volume of the solid = 0.804 in³

4 0
1 year ago
PLZ PLZ PLZ PLZ HELP ME WITH THIS QUESTION
soldi70 [24.7K]
Ur answer is c



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8 0
3 years ago
Read 2 more answers
What is <br>1/3 + 3/9<br><br>1/3 + 3/9=?
atroni [7]

Answer:2/3

Step-by-step explanation:

3/9=1/3

1/3+1/3=2/3

4 0
3 years ago
Read 2 more answers
Find the range of the following piecewise function.
Anna11 [10]

Given:

The piecewise function is

f(x)=\begin{cases}x+4 & \text{ if } -4\leq x

To find:

The range of given piecewise function.

Solution:

Range is the set of output values.

Both functions f(x)=x+4 and f(x)=2x-1 as linear functions.

Starting value of f(x)=x+4 is at x=-4 and end value is at x=3.

Starting value: f(-4)=-4+4=0

End value: f(3)=3+4=7

Starting value of f(x)=2x-1 is at x=3 and end value is at x=6.

Starting value: f(3)=2(3)-1=5

End value: f(6)=2(6)-1=11

Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.

Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.

So, the range of the given piecewise function is [0,11).

Therefore, the correct option is A.

5 0
3 years ago
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