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3 years ago

Find the height of a cone with a volume of 942 cubic units and a radius of 10 units

1 answer:

3 0

Volume of a cone: $\frac{1}{3}$ $\pi$ r²h
Plug the radius and volume in the formula.

$\frac{1}{3}$ $\pi$ 10²h = 942
Divide both sides by $\frac{1}{3}$ .

$\pi$ 10²h = 2,826
Divide both sides by pi.

10²h = 900
Divide both sides by 10² (100).

h = 9

The cone's height is 9 units.

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Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of al

padilas [110]

Answer:

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Step-by-step explanation:

We solve this question treating these probabilities as Venn sets.

I am going to say that:

Event A: Requesting automatic transmission

Event B: Requesting built-in GPS

90% of all buyers request automatic transmission

This means that $P(A) = 0.9$

82% of all buyers request built-in GPS

This means that $P(B) = 0.82$

77% of all buyers request both automatic transmission and built-in GPS.

This means that $P(A \cap B) = 0.77$

What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

This is $P(A \cup B)$ , which is given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95$

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

3 0

3 years ago

Evaluate the expression please.

Tanzania [10]

Answer:

-7

Step-by-step explanation:

-3-(-10)/-2+1

-3-5+1

-8+1

-7

6 0

2 years ago

I need to work out x

frutty [35]

Answer:

9,765 cm

Step-by-step explanation:

We'll solve out the measurements for triangle ABC then it will be easy to figure out x

For triangle ABC, we have

Angle B = 90 degrees.

Angle A (CAB) = 38 degrees (the angle CAD is 19 and is said to be half of CAB, since the line AD is a bisector).

Angle C = 180 - 90 - 38 = 52 degrees.

To find the measurement of the BC line, which we label a, we know that

$\frac{a}{sin(A)} = \frac{c}{sin(c)}$

So, we can isolate the a to get:

$a = \frac{c * sin(A)}{sin(c)} = \frac{25 * sin(38)}{sin(52)} = 19.53$

Now we know the segment BC is 19.53 cm.

And we know that segments CD and DB are equal, since AD is a bisector, cutting the CAB angle in half.

So, CD is half of BC.... so 19.53 / 2 = 9.765 cm

7 0

3 years ago

Which of the following is a counterexample for this conditional statement?If an appliance is used for cooling, then it is a refr

Nezavi [6.7K]

Explanation

We are asked to give a counter-example for the given statement

A counter-example is an example that opposes or contradicts an idea or statement.

Therefore, for the statement

we have that

Statement: If an appliance is used for cooling

Conclusion: then it is a refrigerator

Then, the option that contradicts this, will be a clothes dryer

Because a dryer doesn't cool

Hence, the answer is a cloth dryer

option D

4 0

1 year ago

What are two different ways of factoring –3x – 9? Select all that apply. A. –3(x + 3) B. 3(x + 3) C. 3(–x – 3) D. –3(x – 3)

I am Lyosha [343]

The awnser is A) and C)

Hope it helps :)

8 0

3 years ago