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musickatia [10]
3 years ago
6

Mr thompson wants to protect his garage by installing a flood barrier. He connects 2 barriers side by side. Each barrier is 9 ft

long by 2 ft high. What is the combined area of the barriers?
Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer:

Step-by-step explanation:

Mr Thompson wants to protect his garage by installing a flood barrier. He connects 2 barriers side by side. The length of each flood barrier is 9 ft while the height of each barrier is 2 ft. The barriers are rectangular in shape. The area of each rectangular barrier is expressed as length × height.

Therefore

Area of each barrier is 9 × 2 = 18 ft^2

The combined area of the barriers would be

18 × 2 = 36 ft^2

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Blababa [14]

Answer:

a)\: \frac{3}{2} \pi

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Step-by-step explanation:

y=3\sqrt x,\:\:y=3,\:\:x=0

a) about the line y = 3

3\sqrt x=3  ⇒  x = 1  is the intersection point

So,

V=\int\limits^1_0\pi(3-3\sqrt x)^2\:dx=\pi\int\limits^1_0(9-18\sqrt x+9x)\:dx=\\\\=\pi(9x-12x^{3/2}+9/2x^2)|^1_0=\pi(9-12+9/2)=\frac{3}{2} \pi

b)  about the line x = 5

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So,

V = \int\limits^3_0\pi([5-0]^2-[5-y^2/9]^2)\:dy=\pi\int\limits^3_0(25-25+10y^2/9-y^4/81)\:dy=\\\\=\pi(10y^3/27-y^5/405)|^3_0=\pi(10-3/5)=\frac{47}{5} \pi

8 0
4 years ago
G(x)=\sqrt{x+3}g(x)= x+3 ​ g, left parenthesis, x, right parenthesis, equals, square root of, x, plus, 3, end square root What i
Aleks04 [339]

Answer:

The domain of g(x) is -3 to infinity

Step-by-step explanation:

Given

g(x) = \sqrt{x + 3}

Required

Determine the domain of g(x)

We start by expressing the content of the square root in the following form:

x + 3 \geq 0

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x + 3 -3 \geq 0 - 3

x  \geq 0 - 3

x  \geq - 3

This can be expressed using interval notation as follows:

\{x: -3, infiniti\}

<em>Hence, the domain of g(x) is -3 to infinity</em>

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4 years ago
A solid pyramid of height 40 cm with a square base of sides 30 cm each is put into a tank of sides 40 cm each. the tank is then
viktelen [127]
So you have to find the volume of the tank, and the volume of the pyramid. Then subtract the volume of the pyramid from that out of the tank. The formula for pyramid is v = lwh/3. For the tank (which is a cube in this case) It's any given side cubed.

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4 years ago
The lowest recorded tempature in alaska is 80 degreese below 0.
krek1111 [17]

Answer:

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Step-by-step explanation:

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Among the choices, Choice B could represent Kureshi's Data because it is not proportional to the data of Miguel.

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8 0
3 years ago
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