If the volume of a cone is 757 units and the height of the cone is uits, what is the radius of the cone?

Geometry Proof - please help ASAP

DanielleElmas [232]

Answer:

If angle C is 90 degrees (def. of right angle) then the sum of angle A and B has to 90 degrees since angle A + B + C (90°) = 180°

Statements and Reasons:

3. Angle C is 90 degrees because of the definition of right angle.

4. Angle A + angle B + angle C is 180 degrees because of triangle sum.

5. Angle A + angle B + 90 = 180 because of substitution postulate.

6. Angle A + angle B is 90 degrees because of subtraction postulate. (subtract 90 from both sides from the equation above this step).

7. Angle A and angle B are complementary.

4 0

2 years ago

For an intramural sports program at a particular college, the time to run one mile is recorded for 200 male students in the prog

Greeley [361]

Answer:

Devon has the lower z-score, so he ran the mile faster relative to his gender.

Step-by-step explanation:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Who ran the mile faster relative to their gender?

The lower the percentile of time ran, the faster. So whoever has the lower z-score ran the mile faster.

Devon

His best time to run the mile is 6.6 minutes.

These times are approximately normal with mean 8 minutes and standard deviation 1 minute.

We have to find Z when $X = 6.6, \mu = 8, \sigma = 1$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{6.6 - 8}{1}$

$Z = -1.4$

Kendall

Her best time to run the mile is 5.7 minutes.

These times are approximately normal with mean 7.5 minutes and standard deviation 2 minutes.

We have to find Z when $X = 5.7, \mu = 7.5, \sigma = 2$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5.7 - 7.5}{2}$

$Z = -0.9$

Devon has the lower z-score, so he ran the mile faster relative to his gender.

3 0

3 years ago

Neptune completes 1 1/2 truns about its axis each day.how many truns does it complete in 1 week?

strojnjashka [21]

Answer:Fractions Word Problems – Grade 8

Solve these on a separate sheet of paper.

The following word problems may require you to add, subtract, multiply or

divide fractions.

Read each problem carefully to choose the correct operation. Some of

these are tricky! Be sure to show your work and state your answer in a

sentence!

1. The girl’s hockey team won 6 games, lost 3 games, and tied 2 games. What

fraction of games did they win?

2. In a full set of permanent teeth, ¼ of the teeth are incisors, ¼ are premolars,

and 3/8 are molars. What fraction of all the teeth are incisors, premolars and

molars?

3. Chad made a snack by combining 1/3 of a bowl of granola with ¼ of a bowl of

chopped banana and ½ of a bowl of yoghurt. Did one bowl hold all of the

ingredients at one time? Explain.

4. In the first two hockey games of the year, Rodayo played 1 ½ periods and 1

¾ periods. How many periods in all did he play?

5. Neptune completes 1 ½ turns about its axis each day. How many turns does

it complete in 1 week?

6. Shane has a piece of rope that is 7 4/5 units long. If he cuts it into pieces that

are each 3/5 of a unit long, how many pieces does he have?

7. About

4

3

of the students on the track team are girls. About

4

3

of these girls

are in grade 8. What fraction of the students on the track team are grade 8

girls?

8. Mara spent 3/5 of her vacation in British Columbia. While in that province,

she spent ½ of her time in Vancouver. What fraction of her vacation did

Michaela spend in Vancouver? If her vacation lasted 20 days, how many

days did she spend in Vancouver?

9. Nick mowed about

5

3

of the school lawn yesterday. He mowed another

4

1

of

the lawn this morning. How much is left to mow?

10. Jackie used to be on the phone

2

1

3 times as much as her brother. Her

parents threatened to take away the phone, so she cut down to

5

2

of the time

she used to be on the phone. How many times as much as her brother is

Jackie now on the phone?

Step-by-step explanation:

5 0

2 years ago

Sum of 13 and 3 times a number is 31. What is the number?

Volgvan

Answer:

13 + 3x= 31

Step-by-step explanation:

6 0

2 years ago

A) The hypotenuse of a right angled triangle is 15 cm. Taking the

Anastasy [175]

a) By Pythagoras theorem , h^2 is = a^2 + b^2 where a is the hypotenuse and a and b are the legs.

=) 15^2 = x^2 + y^2

That is the relation

b) area of triangle = 1/2 x height x base

=) 1/2 * x * y = 30

=) xy = 15cm

3 0

2 years ago