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4 years ago

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A fish tank, in the shape of a rectangular prism with dimensions 40 in. by 17 in. by 26 in., is 95% filled with water. A solid l

og is placed into the tank, sinks to the bottom, and makes water spill out. The log is shaped like a cylinder with a radius of 3 in. and a height of 33 in. How much water spills out of the tank? Enter your answer in the box. Use 3.14 for pi.

1 answer:

Arte-miy333 [17]4 years ago

5 0

Answer:

48.58

Step-by-step explanation:

I am on a time crunch so I am unable to explain right now. But if you really need help understanding, message me! :D

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Solve the triangle. Round your answers to the nearest tenth. Law of sines 6 A. M∠C=34 m ∠ C = 34 , b=25 b = 25 , c=16 c = 16 B.

PolarNik [594]

Answer:

$A = 43.0^o$

$B = 55.0^o$

$BC = 20.0$

Step-by-step explanation:

I will solve this question with the attached triangle

From the attachment, we have:

$\angle C =82^o$

$AB = 29$

$AC = 24$

Required

Solve the triangle

First, we calculate $\angle B$ using sine law:

$\frac{AC}{\sin(B)} = \frac{AB}{\sin(C)}$

This gives:

$\frac{24}{\sin(B)} = \frac{29}{\sin(82^o)}$

$\frac{24}{\sin(B)} = \frac{29}{0.9903}$

Cross multiply

$\sin(B) * 29 = 24 * 0.9903$

$\sin(B) * 29 = 23.7672$

Divide both sides by 29

$\sin(B) = 0.8196$

Take arcsin of both sides

$B = \sin^{-1}(0.8196)$

$B = 55.0^o$

Next, calculate $\angle A$ using:

$A + B + C = 180^o$ --- angles in a triangle

$A + 55^o + 82^o = 180^o$

Collect like terms

$A = 180^o-55.0^o - 82^o$

$A = 43.0^o$

Next, calculate BC using sine laws

$\frac{BC}{\sin(A)} = \frac{AB}{\sin(C)}$

This gives:

$\frac{BC}{\sin(43.0)} = \frac{29}{\sin(82)}$

$\frac{BC}{0.6820} = \frac{29}{0.9903}$

Make BC the subject

$BC = \frac{29*0.6820}{0.9903}$

$BC = 20.0$

6 0

3 years ago

Resolva os sistemas abaixo <br> 2x+3y=80<br> 3x+2y=70<br><br><br><br> X=8y<br> X+4y=480

timurjin [86]

Solución 1: 2(x) + 3(y) = 80
solución 2: 3(x) + 2(y) = 70

3(y) + 2(x) = 80
2(y) + 3(x) = 70

2y = -3x + 70
y = -3x÷2 + 35

2x + 3(-3x÷ 2+35) = 80
-5x÷2 = -25
-5x = -50

5x = 50
x-intercept: 10
x = 10
y = -3x÷ 2+35

y = -(3÷2)(10)+35 = 20

x-interpcet: 10
y-intercept: 20
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
solución: x - 8y = 0
solución x + 4y = 480

-8y + x = 0
4y + x = 480

x-intercept (solución 2)
x = -4x + 480

x-intercept (solución 1)
4y + 180 - 8y = 0
-12y = 480

y-intercept: 40
x-intercept: 320

Buena Suerte!

7 0

3 years ago

Read and solve quickly please

REY [17]

I believe the answer is 21

4 0

3 years ago

Read 2 more answers

What is the median of these numbers :<br> 6,7,7,8,8,4,7,6,4,6,8,7

jenyasd209 [6]

Answer:

7

Step-by-step explanation:

4,4,6,6,6,7,7,7,7,8,8

4,6,6,6,7,7,7,7,8

6,6,6,7,7,7,7

6,6,7,7,7

6,7,7

7

4 0

3 years ago

Read 2 more answers

What is the solution to log 25x = 3?

MrMuchimi

$\log(25x)=3\\10^3=25x\\25x=1000\\x=40$

5 0

3 years ago