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3 years ago

Sarah needs a PVC pipe with a diameter of 10 inches and a heigh of 2 inches, how much

Mathematics

1 answer:

Darina [25.2K]3 years ago

5 0

Answer:

314.2in^2

Step-by-step explanation:

GIven data

diameter= 10in

radius= 5in

Height= 2in

The expression for the curved surface area (CSA) of a cylinder is given as

CSA=2πrh

CSA=2*3.142*5*2

CSA=62.84 in^2

The material needed to make one pipe is 62.84in^2

Hence the material need for 5 pipes is

=62.84*5

=314.2in^2

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Scientists have discovered a new substance with a hydrogen ion concentration of 0.095811180 M. Determine the corresponding pH le

blsea [12.9K]

Answer: 1.018

Step-by-step explanation:

The pH level of a substance indicates the concentration of hydrogen ions ( $H^{+}$ ) in a solution and is calculated by:

$pH=-log(H^{+})$

In this case the hydrogen ion concentration is $0.095811180 M$ , where

$M=\frac{moles}{volume}$ . Hence:

$pH=-log(0.095811180 M)$

$pH=1.018$ This means this new substance is acid

4 0

3 years ago

Jane is using a carpenter’s square at eye level to determine the height of the tree, as shown in the figure. She is standing 9 f

larisa [96]

Applying the trigonometry ratio, TOA, the measurement that is closest to the height of the tree in feet is: D. 21

Recall:

Trigonometry ratios can be applied to solve any right triangle for missing side lengths or angles. They are denoted with the acronym, SOH CAH TOA.

Using trigonometry ratio, TOA, find the length of the side of the tree in the bigger triangle as follows:

tan 60 = x/9

x = tan 60 × 9

x = 15.6 ft

Height of the tree = 15.6 + 5.2 = 20.8 ft.

In conclusion, applying the trigonometry ratio, TOA, the measurement that is closest to the height of the tree in feet is: D. 21

Learn more about trigonometry ratio on:

brainly.com/question/10417664

8 0

3 years ago

Tarzan loaded 3 trucks in 6 minutes. At that rate, how many trucks would he load in 5 hours?

Roman55 [17]

Answer:

150

Step-by-step explanation:

60 minutes in 1 hour

3x10= 30 in one hour

30x5=150 30 trucks in 5 hours

3 0

3 years ago

Abdul is creating a cushion that is 1 foot by 2 feet by 3 feet. He wants to find the least amount of fabric he will need to cove

netineya [11]

Answer:

The least amount of fabric are 22 square feet

Step-by-step explanation:

we know that

The surface area of a rectangular prism is given by the formula

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

Let

L ---> the length pf the prism

W ---> the width of the prism

H ---> is the height of the prism

Let

$L=2\ ft\\W=3\ ft\\H=1\ ft$

Find the area of the base

$B=LW=(2)(3)=6\ ft^2$

Find the perimeter of the base

$P=2(L+W)=2(2+3)=10\ ft$

Find the surface area

$SA=2(6)+10(1)=22\ ft^2$

therefore

The least amount of fabric are 22 square feet

7 0

3 years ago

Read 2 more answers

If x varies inversely as y 2, and x = 2 when y = 20, find x when y = 5.

Dominik [7]

Step-by-step explanation:

$x = \frac{k}{y}$

x varies inversely as y. This means that x is equal to the inverse of y which can be translated as x = 1/y but the problem said that x is not exactly equal to the inverse of y. Therefore, we need to introduce a factor k. Factor k will represent the word "varies" in the problem.

To illustrate:

$x = \frac{k}{y}$

Since we don't have the value of k, we have to solve for it by using the first values of x and y which was given as x=2 and y=20.

$x = \frac{k}{y} \\ 2 = \frac{k}{20} \\ k = 2(20) = 40$

Now that we have the value of k, we can now solve for the value of x when y=5.

$x = \frac{k}{y} \\ = \frac{40}{5} \\ = 8$

Therefore, when y is 5, the value of x is 8.

6 0

3 years ago