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german
2 years ago
15

A pipe is 25 inches long and has a diameter of

Mathematics
1 answer:
Lilit [14]2 years ago
4 0

Answer:

The lateral area is 392.5 sq. inches.

Step-by-step explanation:

The pipe is in a shape of a cylinder. The lateral area formula for a cylinder is:

Lateral Area = 2\pi r h

Where

r is the radius (half of diameter)

h is the height

Given, diameter = 5

so,

radius = 5/2 = 2.5

Also,

height = 25 inches (same as length, here)

Now we use 3.14 for \pi and substitute the values to get the lateral area:

Lateral Area = 2\pi r h = 2(3.14)(2.5)(25)=392.5

The lateral area is 392.5 sq. inches.

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Need help with this problem. ​
tigry1 [53]

Answer:

C) -\frac{47}{49}

Step-by-step explanation:

By the cos double angle formula, we know \cos(2\theta)=2\cos^2\theta-1. Substituting \cos \theta into the formula, we get

\cos(2\theta)=2(-\frac{1}{7})^2-1\\~~~~~~~~~~=\frac{2}{49}-1\\~~~~~~~~~~=\boxed{-\frac{47}{49}}.

The answer is C.

5 0
2 years ago
What is the area of parallelogram ABCD?<br><br><br> ____ square units
valentinak56 [21]

Answer:

13

Step-by-step explanation:

Here's a method of finding the area of any polygon knowing its vertices. I'm using this parallelogram as an example.

Make a table like this (each vertex with its x- and y-coordinates):

Pt    x       y

A     3      6

B     6      5

C     5      1

D     2      2

A     3      6

Now multiply each x-coordinate by the y-coordinate on the line below and write it on the right side. Bold type shows the first multiplication.

       x       y

A     3      6

B     6      5      15

C     5      1        6

D     2      2      10

A     3      6      12

Now multiply each y-coordinate by the x-coordinate on the line below and subtract from each produce you already have. Do each subtraction. Bold type shows the first multiplication.

       x       y

A     3     6

B     6      5      15 - 36 = -21

C     5      1        6 - 25 = -19

D     2      2      10 - 2 =     8

A     3      6      12 - 6 =     6

Add all the differences.

       x       y

A     3      6

B     6      5      15 - 36 = -21

C     5      1        6 - 25 = -19

D     2      2      10 - 2 =     8

A     3      6      12 - 6 =     6

                                   +____

                                       -26

The area of the polygon is the absolute value of half of the sum of the differences.

area = |-26/2| = |-13| = 13

6 0
3 years ago
Find the missing value in each figure below. What does “y” equal?
finlep [7]

Answer:

Step-by-step explanation:

The perpendicular is equal to 6. That's because the left triangle's missing angle is 180 - 45 -90 = 45

The angle in the right triangle is given as 52.

The cos(52) = adjacent side (which we just found to be 6) / y

Multiply both sides by y

y cos(52) = 6

cos(52) = 0.6157

Divide by sides by cos(52)

y = 6 / cos(52)

y = 6 / 0.6157

y = 9.76

8 0
3 years ago
Estimate the answer to the following calculation<br><br>​
ryzh [129]

\frac{7.4^2 +\sqrt{8.67}}{0.53} \approx \bold{108.876}\\

3 0
2 years ago
Read 2 more answers
Question 3: Choose the correct unit*
algol13
The answer for your question is Option C. Kilometers
6 0
3 years ago
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