A person is looking from a car to the top of a building. The angle of elevation to the top of the building from the car
is 32°. The building is 200 feet away. How tall is the building? Round to the nearest foot.

Answer:

602.88in²

Step-by-step explanation:

Formula for finding the volume of oblique triangle is expressed as

A = πr²h

Given

radius r = 4in

height h = 12in

Substitute

A = π*4²*12

A = 3.14*16*12

A = 3.14 * 192

A = 602.88in²

Hence the area of the cylinder is 602.88in²

The formula for the sum of the interior angles of a polygon is (n - 2) * 180. In this formula, N is the number of sides. So, to find the number of sides that a polygon with an interior angle measure of 10080 has, we'll set the formula equal to 10080.

10080 = (n - 2) * 180

Divide both sides by 180

56 = n - 2

Add 2 to both sides

n = 58

Hope this helps!! :)

Answer:

58 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is 10,080°

n = the number of sides

(2n - 4)90 = 10080

2n - 4 = 10080/90 = 112

2n = 116

n = 58.

Answer:

1)  D

2)  A

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

Given that,

Initial temperature of a piece of metal = 32°C

Final temperature of the piece of metal = 36°С

We need to find the percentage increase in the temperature of the piece of metal.​ The percentage increase in any value is given by the relation as follows :

[tex]\%=\dfrac{|\text{final value-initial value}|}{\text{initial value}}\times 100\\\\=\dfrac{36-32}{32}\times 100\\\\=12.5\%[/tex]

So, the required percentage increase in the temperature of the piece of metal is equal to 12.5%.

Answer:

angle ERT = angle YUP

Step-by-step explanation:

Hope it helps u mate....

Answer:

Discount percent = 43% off

Discount amount (money saved) = $75.25

Step-by-step explanation:

To find the discount percentage:

List price ($175) minus the sale price ($99.75) then divided by the list price ($175) and multiplied by 100 to get the discount percent of 43%.

To find how much money was saved:

List price ($175) minus sale price ($99.75) to get the amount saved, which savings are $75.25 in this case.

I hope this helps :)

Answer:

a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.0 ounces and a standard deviation of 1.1 ounces.

This means that [tex]\mu = 8, \sigma = 1.1[/tex]

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?

[tex]n = 5[/tex] means that [tex]s = \frac{1.1}{\sqrt{5}} = 0.4919[/tex]

This probability is the pvalue of Z when X = 9.3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{9.3 - 8}{0.4919}[/tex]

[tex]Z = 2.64[/tex]

[tex]Z = 2.64[/tex] has a pvalue of 0.9959

0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?

[tex]n = 6[/tex] means that [tex]s = \frac{1.1}{\sqrt{6}} = 0.4491[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 9. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{9 - 8}{0.4491}[/tex]

[tex]Z = 2.23[/tex]

[tex]Z = 2.23[/tex] has a pvalue of 0.9871

1 - 0.9871 = 0.0129

0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Answer:

472×82=38704

Step-by-step explanation:

Prime factorization:

2^4×41×59

Answer:

Step-by-step explanation:

320t=500(t-1.5)

320t=500t-750

-180t=-750

t=25/6

t=4+1/6 hours

So Colby catches up 4 1/6 hours after Shelby left. Since she left at 9am

9+4hours + 10 minutes. So they have travelled the same distance at 1:10pm

Answer:

400ml of juice

Step-by-step explanation:

1 litre of water = 100ml of juice

4 litres of water =? ml of juice

to get from 1 litre to 4 litre of water you multiply by 4,so you do the same for the juice and multiply the juice by 4.

100×4=400

4 litres of water = 400ml of juice

Answer:

$72891.1094

Step-by-step explanation:

This method of saving is called sinking fund.

Future value (FV) =  A*([tex]\frac{[(1+r)^{n} - 1]}{r}[/tex])

Where A is the amortization, r is the rate and n the number of years.

A = $3000

r = 2% = 0.02

n = 20

FV = 3000 * [tex](\frac{[(1.02)^{20} - 1]}{0.02})[/tex]

     = 3000 * 24.2973698

     = 72891.1094

FV  = $ 72891.1094

The amount that would be in the account after 20 years is $72891.1094

Answer:

2/5 minute OR 24 seconds

Step-by-step explanation:

4/10 = 2/5 minute

Hope that helps!

Answer:

200

Step-by-step explanation:

I rounded both numbers and multiplayer them.

Answer:

y=5/3x

Step-by-step explanation:

Answer: b

Step-by-step explanation: I am 95% sure

Answer:

3

Step-by-step explanation:

Answer:

62 cm

Step-by-step explanation:

It's basically just a rectangle, so area formula for rectangle is base x height

Answer:

since all sides are equal 3x = 180

you find the 180÷3

which is 60

Answer:

x+y=3

Assuming that the option 1 and 2 dont mean anything

Answer:

$90.00

Step-by-step explanation:

Given

[tex]c = 45.00[/tex]--- base fee

[tex]m = 15.00[/tex] --- rate

[tex]x = 3[/tex] --- individuals

Required

Determine the total amount paid (y)

The relationship between the variables is:

[tex]Total = Base\ Fee + Rate * Individuals[/tex]

[tex]y = c + mx[/tex]

This gives:

[tex]y = 45.00 + 15.00 * 3[/tex]

[tex]y = 45.00 + 45.00[/tex]

[tex]y = 90.00[/tex]

Hence, the amount is $90.00

Answer:

12.56

Step-by-step explanation:

Answer:

attachment plz

Step-by-step explanation:

nothing is being seen

Answer:

Step-by-step explanation:

[tex]a_{n}=-2*5^{n-1}\\n=11\\a_{11}=-2*5^{11-1}\\a^{11}=-2*5^{10}\\=-2*50,000,000,000\\=-100,000,000,000[/tex]

Answer:

Step-by-step explanation:

base of model is 6 ft by 6 ft

base of building is 78 ft by 78 ft

scale factor = 78÷6 = 13

Answer:

i think it would be going to C because you dont have what x would be so we could assume that it is 0 and y intersection would be 2

Step-by-step explanation:

Answer:

x=2

CE=58

Step-by-step explanation:

10x+9=18x-7

16=8x

x=2

10(2)+9+18(2)-7=

20+9+36-7=58

Answer:

29

Step-by-step explanation: