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2 years ago

8

Nadia designs a water ride and wants to use a half-cylindrical pipe in the construction. If she wants the waterway to be 8 ft w

ide when the water is 2 ft deep, what is the diameter of the pipe?

2 answers:

gogolik [260]2 years ago

8 0

Answer:

<h2>8 feet</h2>

Step-by-step explanation:

In the image attached you can observe a cross section of the half-cylindrical pipe.

So, if the pipe is 8 feet wide, that means its diameters is also 8 feet, because the wideness coincide with the distance from one point to an opposite point crossing through the center of the circumference.

Therefore, the diameter is 8 feet.

Artyom0805 [142]2 years ago

5 0

Answer:

The answer is 10 not 8

Step-by-step explanation:

The diameter 8 is the chord and when you do the pythagorean theorem using, (r-2)^2+2*2=r you get 10. 10 is the diameter of the cylinder

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A square with side length c has an area of 81 square centimeters. The following equation shows the area of the square. c^2 = 81.

kramer

Answer:

9 cm

Step-by-step explanation:

c^2=81

Take the square root of both sides.

The square root of c^2 is c.

The square root of 81 is 9.

c=9

8 0

2 years ago

Read 2 more answers

Which is equivalent to sin 51°?<br><br>A) cos 51°<br>B) cos 39°<br>C) tan 39°<br>D) tan 51°

____ [38]

The answer is B
have a great day

8 0

2 years ago

Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the inte

xz_007 [3.2K]

We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

$5\%=\frac{5}{100}=0.05$

When compounded annually, $n=1$ :

$A=4500(1+\frac{0.05}{1})^{1\cdot 10}$

$A=4500(1.05)^{10}$

$A=4500(1.6288946267774414)$

$A=7330.025820498\approx 7330.03$

When compounded quarterly, $n=4$ :

$A=4500(1+\frac{0.05}{4})^{4\cdot 10}$

$A=4500(1.0125)^{40}$

$A=4500(1.6436194634870132)$

$A=7396.28758569\approx 7396.29$

When compounded monthly, $n=12$ :

$A=4500(1+\frac{0.05}{12})^{12\cdot 10}$

$A=4500(1.00416666)^{120}$

$A=4500(1.64700949769)$

$A=7411.542739605\approx 7411.54$

When compounded daily, $n=365$ :

$A=4500(1+\frac{0.05}{365})^{365\cdot 10}$

$A=4500(1.0001369863013699)^{3650}$

$A=4500(1.6486648137656943695)$

$A=7418.9916619456\approx 7419.00$

Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.

4 0

2 years ago

A graduate weighs 35.825 g. When 10 mL of water are measured in it, the weight of the graduate and water is 45.835 g. Calculate

erik [133]

Answer:

Calculated weight of water = 10.01 g

percentage error = 0.1%

Step-by-step explanation:

Given:

Weight of graduate = 35.825 g

Weight of graduate + Water = 45.835 g

Now,

The weight of water = ( Weight of graduate + Water ) - Weight of graduate

or

The weight of water = 45.835 - 35.825

or

The weight of water = 10.01 g

Now,

The percentage of error = $\frac{\textup{Calculated value - Actual value}}{\textup{Actual value}}\times100$

or

The percentage error = $\frac{\textup{10.01 - 10}}{\textup{10}}\times100$

or

The percentage error = 0.1%

3 0

2 years ago

Triangle XYZ is translated by the rule (x + 1, y â 1) and then dilated by a scale factor of 4 centered at the origin. Which stat

marysya [2.9K]

Answer: Y and Y'' are congruent after the translation, but not after the dilation.

Step-by-step explanation:

We know that we generally prefer rigid transformations if want to create congruent images.

There are three basic kinds of rigid transformations:

1) rotation 2) reflection 3) translation

So, they all create congruent images.

But a dilation does not create congruent images because it creates an image of similar same shape as the original but not the same size.

Given : Triangle XYZ is translated and then dilated by a scale factor of 4 centered at the origin.

Then, the correct option is "Y and Y'' are congruent after the translation, but not after the dilation."

5 0

2 years ago