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2 years ago

the formula V= 4x3.14xr3 over 3 gives the approximate volume of a sphere if you know the radius r. Calculate V if r=3

Mathematics

1 answer:

Alinara [238K]2 years ago

6 0

The answer is 113.04 should be correct...

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Use the triangle below to find cos V.

Semenov [28]

Answer:

$cos\ V = \frac{2\sqrt{29}}{29}$

Step-by-step explanation:

Given

The attached triangle

Required

Find cos V

In trigonometry:

$cos\theta = \frac{Adjacent}{Hypotenuse}$

In this case:

$cos V= \frac{TV}{UV}$

Where

$TV = 6$

and

$UV^2 = TV^2 + TU^2$ -- Pythagoras

$UV^2 = 6^2 + 15^2$

$UV^2 = 261$

Take square roots

$UV = \sqrt{261$

$UV = \sqrt{9*29$

$UV = \sqrt{9} *\sqrt{29$

$UV = 3\sqrt{29$

So:

$cos V= \frac{TV}{UV}$

$cos\ V = \frac{6}{3\sqrt{29}}$

$cos\ V = \frac{2}{\sqrt{29}}$

Rationalize:

$cos\ V = \frac{2}{\sqrt{29}}*\frac{\sqrt{29}}{\sqrt{29}}$

$cos\ V = \frac{2\sqrt{29}}{29}$

8 0

2 years ago

What is the inverse of y=5x-5

Leya [2.2K]

Answer:the answer is in the picture below

Step-by-step explanation:plz give brainlist

8 0

1 year ago

Pls help me i need help 10 pt

Nataly [62]

Fret seems like the best option.

5 0

2 years ago

Read 2 more answers

The factors of the number 56 are 1, 2, 4, 7, 8, 14, 28, and 56. Choose the factor pairs of the number 56.

natima [27]

Answer:

b) 7×8

c) 4×14

d) 2×28

Step-by-step explanation:

A factor pair of a number is a pair of numbers that, when multiplied will result in the given number.

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, and 56.

The factor pairs are:

1 X 56
2 X 28
4 X 14
7 X 8

Out of the options, only Option A is not a factor pair.

8 0

2 years ago

Percentage grade averages were taken across all disciplines at a particular university, and the mean average was found to be 83.

Georgia [21]

Correct Ans:
Option A. 0.0100

Solution:
We are to find the probability that the class average for 10 selected classes is greater than 90. This involves the utilization of standard normal distribution.

First step will be to convert the given score into z score for given mean, standard deviation and sample size and then use that z score to find the said probability. So converting the value to z score:

$z-score= \frac{90-83.6}{ \frac{8.7}{ \sqrt{10} } } \\ \\ 
z-score =2.326$

So, 90 converted to z score for given data is 2.326. Now using the z-table we are to find the probability of z score to be greater than 2.326. The probability comes out to be 0.01.

Therefore, there is a 0.01 probability of the class average to be greater than 90 for the 10 classes.

5 0

2 years ago