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3 years ago

7

A round pipe 4 ft long and 8 in in diameter connects an outdoor water tank to a hot tub.

1 answer:

dlinn [17]3 years ago

8 0

The volume of a cylinder is pir^2h. So the answer is pi*4^2 times 4. 64 pi.

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In the figure below, mZ1=(x +48) and m2 2=2xº.<br> Find the angle measures.

NARA [144]

Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:

m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°

Combine like terms:
48° + 3x° = 90°

Subtract 48° from both sides:

48° - 48° + 3x° = 90° - 48°

3x = 42°

Divide both sides by 3 to solve for x:

3x/3 = 42/3

x = 14°

Plug in the value of x into the equation to fins m< 1 and m < 2:

m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°

90° = 90° (True statement)

Therefore:

m < 1 = 62°
m < 2 = 28°

6 0

3 years ago

Let sin(−θ)=−3/5 and tanθ>0. What is the value of cos(−θ)?

Jobisdone [24]

Answer:

The value of Cos (-Ф) $\dfrac{\textrm 4}{\textrm 5}$ .

Step-by-step explanation:

Given Trigonometric function as :

sin( - Ф ) = $\frac{- 3}{5}$

- sin Ф = $\frac{- 3}{5}$

So, sin Ф = $\frac{ 3}{5}$

Now, as sin Ф = $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$

So , $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$ = $\frac{ 3}{5}$

So, perpendicular = 3

And hypotenuse = 5

Now,<u> From Pythagoras Theorem</u>

Base ² = Hypotenuse² - Perpendicular²

Or, Base ² = 5² - 3²

Or, Base ² = 25 - 9

Or, Base ² = 16

∴ Base = $\sqrt{16}$

I.e Base = 4

Now, Cos Ф = $\dfrac{\textrm base}{\textrm hypotenuse}$

So, Cos Ф = $\dfrac{\textrm 4}{\textrm 5}$

Now , Since

Cos ( - Ф ) = Cos Ф

So, Cos ( - Ф ) = Cos Ф = $\dfrac{\textrm 4}{\textrm 5}$

Hence The value of Cos (-Ф) $\dfrac{\textrm 4}{\textrm 5}$ . Answer

6 0

3 years ago

I am struggling with these questions. Please help

Sauron [17]

Answer: Just apply the formula

Step-by-step explanation:

The equation for volume of a cone is:

$V_{(cone)} =\frac{1}{3} \pi r^{2} h$

The radius is the line that creates a 90 degree angle with the height

The height goes from the base to the tip of the cone.

I recommend leaving Pi as it is and plugging the rest of the numbers first.

Then at the end multiply by 3.14 and round at the end.

This way, it is easier to avoid calculation errors.

5 0

3 years ago

If equal amounts are added to the numerator and the denominator of the current ratio, the ratio will always:

Marta_Voda [28]

Answer:

Increase?

Step-by-step explanation:

Because think about it let's use 1/2 as an example.

1/2 equals .5 now lets add 2 to both the numerator and denominator

3/4 is the result and it also equals .75 which is larger than .5 so that's why the answer is increase.

and u can keep on going on with the method

4/5=.8

7 0

3 years ago

Amy cut 32 feet of chain into pieces that were each

Hatshy [7]

Answer:

32ft of chain divided by 14ft pieces... that's two pieces of chain

Step-by-step explanation:

8 0

3 years ago

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