Maria is 4 ft 2in tall. To find the height of a flagpole, she measured her shadow and the pole's shadow . What is the height h of the flagpole?

Maria Is 4 Ft 2in Tall. To Find The Height Of A Flagpole, She Measured Her Shadow And The Pole's Shadow

Answers

Answer 1

Answer:

25 ft

Step-by-step explanation:

Maria Is 4 Ft 2in Tall. To Find The Height Of A Flagpole, She Measured Her Shadow And The Pole's Shadow
Answer 2

The height of the flagpole, using trigonometric ratio is 25feet.

The tangent of angle C will be the ratio of Maria's height to her shadow.

What is the tangent of an angle?

The tangent of an angle is the ratio of opposite side to the adjacent side.

It is given that,

Her height = 4 ft 2 inch = 25/6 feet

Length of her shadow =10/3 feet

So, tan C = (25/6)/(10/3)

tan C = 5/4

We know that ∠C and  ∠T will be equal

So, tan C = tan T = h/20

5/4 = h/20

h =25

Therefore, The height of the flagpole, using is 25feet.

To get more about trigonometric ratios visit:

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Related Questions

Oil prices are projected to increase by 125% by next August. A quart of oil currently costs $1.25. What is the projected cost of a gallon of oil next August? Round your answer to the nearest hundredth.

Answers

Answer:$2.81

Step-by-step explanation:

1.25 is 100% of the price

125% + 100% = 225%

x = price by august

x = 225% (1.25)

225% = 2.25

2.25(1.25) = 2.8125 ≈ $2.81

Another way to see it:

=

225(1.25) / 100 = 2.8125

St. Francis Bank pays 4% interest, compounded daily, from the date of deposit to the date of withdrawal. The daily interest rate (to the nearest milionths' place)
for October 14 (92 days in the quarter) on this account is:
0.000109.
0.000112
0.000098.

Answers

Answer:

The daily interest rate on this account = 0.000109

Step-by-step explanation:

Given that,

Interest rate = 4% compounded daily

i.e

Interest is 4% per annum and it is compounded daily.

Now,

We know , 1 year = 365 days

and 1 year interest rate = 4% = [tex]\frac{4}{100}[/tex] = 0.04

So,

The daily interest rate = [tex]\frac{0.04}{365}[/tex] = 0.000109

∴ we get

The daily interest rate on this account = 0.000109

Work out
44.09
% of
78.76
cm

Answers

Answer:

34.72

Step-by-step explanation:

44.09/100 × 78.76

=34.72

What expression is equivalent to
16+2*36

Answers

Answer: It looks like this expression is 16+2 times 36, so the answer is 18 times 36 also 88, they are both equivalent

A Customer Telephone Center receives 1,200 calls in a 24-hour period. Of these calls, 75% occur between 9:30 a.m. and 3:30 p.m., and calls are evenly distributed during this time. If each person handles 10 calls an hour, how many people are needed to handle calls during these hours

Answers

Divide Total time into two Time Periods. A regular Demand and a High Demand Time Period. Since 75% of the 1,200 calls occur between 9:30 am and 3:30 pm. We multiply .75 x 1,200 to get 900. We get an average of 900 calls every day between the hours of 9:30 am and 3:30 pm – Our net time for this time period is 6 hours.

Therefore, 6 Hours/900 becomes our quotient

Again, since the denominator is larger we invert it to 900 calls/6 Hours

To get a demand of 150 calls per hour.

We need to be able to handle 150 calls per hour.

So how Many Call Representatives are needed?

Again, our historical data tells us that each person can handle 10 calls an hour.

Therefore 150 calls per hour /10 Minutes = 15 Customer Service Representatives are needed during Peak Time!

Now, Subtract the Peak Hours from the 21 Hours Net Time Per day, gives us 15 Non-Peak hours we have to staff.

What is the slope of the line through? (-4, 2) and (3, -3)?

Answers

Answer:

c. -5/7

Step-by-step explanation:

URGENT WILL GIVE BRAINLIEST

Answers

Answer:

40

Step-by-step explanation:

please help me on this its reading​

Answers

The answer is C to be informed about a new topic.

Answer:

C.

Step-by-step explanation:

C. be informed about a new topic

The scatter plot below shows the change in the demand for a pair of jeans at a store as the price changes. The sales manager uses y= -1.75x+92.13 as a line of best fit.

What is the residual value when the price of jeans is $28.00?
A)−9.37
B)−1.13
C)1.13
D)9.37

Answers

Answer:

1.13

Step-by-step explanation:

The residual value when the price of jeans is $28.00 is -15.13

How to determine the residual?

The equation of the line of best fit is:

y= -1.75x+92.13

When the price of jeans is $28.00, we have:

y= -1.75*28+92.13

Evaluate

y= 43.13

The residual value is then calculated as:

Residual = Actual - Observed

This gives

Residual = 28.00 - 43.13

Evaluate the difference

Residual = -15.13

Hence, the residual value when the price of jeans is $28.00 is -15.13

Read more about residual at:

https://brainly.com/question/16060586

PLEASE HELP! IM LIKE STUCK AND I NEED HELP! YOU'LL GET 50 POINTS !!!!

Answers

I got it hold up I will use my app

Answer:

5m + 9n + 46

Step-by-step explanation:

5m +10 +9n +36

(i did that by distributing from parenthesis)

5m + 9n + 46

(i just simplified by adding 10 and 36)

Please helppp why is he right or wrong!!

Answers

Answer:

We cannot agree with Andre because x = 3.

Step-by-step explanation:

Assuming the diagram is a weighing scale which can also be represented as an equation having two sides that is balanced. We can express the situation as follows using equation:

x + 2 = 5

Solve for x

x + 2 - 2 = 5 - 2 (subtraction property of equality)

x = 3

If you plug in the value of x on the diagram given, the scale becomes balance on each side.

Therefore, x = 3. Andre is wrong and we cannot agree with Andre.

h(a) = 3 - 2a ^ 2
h(- 3) =

Answers

Answer: -15

Step-by-step explanation:

First, calculate exponents.

-3 * -3 is 9.

Then multiply 2 and 9 which is 18.

3-18 is -15.

Can someone please help me out pleaseeeee !!!!!

Answers

Answer:

Step-by-step explanation:

0: -2

1: -4

2: -6

PLS HELP ME OUT GUYS PLS PLS PLS PLS

Answers

the 1st, 2nd, and 3rd are correct

In the figure, two poles are 25 m and 35 m high. A cable 23 m long Joins the tops of the poles. Find the distance between the poles.​

Answers

Answer: 20.71 m

Step-by-step explanation:

Given

the length of the poles are 25m and 35 m

The length of the cable is 23 m

Suppose the distance between them is x

From the figure, apply Pythagoras theorem

[tex]\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m[/tex]

Distance between Poles is 20.71 m

The formula for the volume of a cone is V =
3
bah
Solve V =
on for b, the base of the cone.

Answers

Answer:

oh thats easy thats 7

Step-by-step explanation:

i guess

Yesterday I went to buy some ice cream because it was on sale for $0.73. While I was there I also wanted to buy some sprinkles to put on top and they were only $0.15! What a bargain!!!! Since everything was so cheap, I also thought that I might want to buy a water bottle that was $2. When I went up to the cashier, they told me that I owed $9. EXCUSE ME?!? I said to them “I thought you all had a sale today, why am I paying $9?.”
how much you should’ve been charged

Answers

Given statement Sale Pricing Confusion solution is :- You should have been charged $2.88, not $9.

Let's break down the costs:

Ice Cream: $0.73

Sprinkles: $0.15

Water bottle: $2.00

The total cost of these three items would be:

$0.73 + $0.15 + $2.00 = $2.88

According to the prices you mentioned, you should have been charged $2.88, not $9. If the cashier told you that you owed $9, it's possible that there was an error in their calculations or that they included other items in your bill. It's best to clarify the discrepancy with the cashier and ask for an explanation or correction.

For such more questions on Sale Pricing Confusion

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Researches conducted a study to determine whether magnets are effective

Answers

What is the question though

i am stuck on these two, please help if you can. thank you :)

Answers

Answer:

23) x= [tex]\frac{27}{8}[/tex]

24) x= [tex]8\sqrt{3}[/tex]

Step-by-step explanation:

Which set of ordered pairs represents a function?
A {(22, 5), (23, 10), (22, 7), (23, 5)}
B {(22, 5), (26, 10), (23, 7), (23, 5)}
C {(22, 10), (23, 10), (24, 7), (25, 5)}
D {(24, 10), (23, 6), (22, 7), (24, 5)

Answers

Answer:

D

Step-by-step explanation:

the company is it a big company with you in my neighborhood that is a lot more expensive and more expensive to

WITH STEPS PLEASEE..

Answers

Answer:

16+3y=31

3y=31-16

3y=15

y=15/3

y=5

check.

16+3×5

=16+15

=31

The answer for this is Y=5

Plss answer this will give brainliest 5 stars and a thx
IVE BEEN ASKING FOR 2 DAYS :( OVERDUE

Answers

Answer: -10

Step-by-step explanation:

A negative number divided by a positive number is always going to be negative

Answer:

-10

Step-by-step explanation:

Because a negative number divided by a positive number is a negative number.

"An education researcher recorded the number of books students read over the last year and the number of vocabulary words that students defined correctly on a test of 100 vocabulary words. The resulting data were used to conduct a hypothesis test to investigate whether there is a positive linear relationship between the number of books read and the number of vocabulary words defined correctly. What are the correct hypotheses for the test?"

Answers

Answer:

B

Step-by-step explanation:

(x +y )(x -y), if x = -3, y=-5
PLS NO FILES OR I AM REPORTING YOU

Answers

Answer:

-16

Step-by-step explanation:

(X + Y)

= (-3 + -5)

= -8

(X - Y)

= (-3 - -5)

= 2

Because  they're still in brackets in this form:

(-8) (2)

You multiply them both and you'll get the answer:

-16

hope this helped!

An agricultural researcher is interested in estimating the mean length of the growing season in a region. Treating the last 10 years as a simple random​ sample, he obtains the following​ data, which represent the number of days of the growing season. What is the point estimate of the population mean number of days of the growing​ season? 151 164 146 143 167 188 190 180 170 148 The point estimate is nothing.

Answers

Answer:

The point estimate of the population mean is 164.7

Step-by-step explanation:

Given

[tex]n =10[/tex]

[tex]Data: 151\ 164\ 146\ 143\ 167\ 188\ 190\ 180\ 170\ 148[/tex]

Required

The point estimate of the mean

To do this, we simply calculate the sample mean using;

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{151 +164 +146 +143 +167 +188 +190 +180+170 +148}{10}[/tex]

[tex]\bar x =\frac{1647}{10}[/tex]

[tex]\bar x =164.7[/tex]

someone please help me! show work if you can please!

Answers

Answer:

a. [tex]12\sqrt{3}[/tex]

b. [tex]144\sqrt{3}[/tex]

c. [tex]24+24\sqrt{3}[/tex]

Step-by-step explanation:

This rectangle is made up of two 30-60-90 right triangles, which have special properties that are worth memorizing for the future. Please see the attached picture.

Using this information, we can deduce that the top and bottom sides are equal to [tex]12\sqrt{3}[/tex].

From the properties of a rectangle we know that the right side is 12.

The diagonal is equal to [tex]12*2=24[/tex].

We can find the area by doing [tex]{12*12\sqrt{3}=144\sqrt{3}[/tex],

And the perimeter is equal to [tex]12+12+12\sqrt{3}+12\sqrt{3} =24+24\sqrt{3}[/tex]

The Frill family and the Smith family go to the movies.
The Frill family buys 6 adult tickets and 2 child tickets for $124.
The Smith family buys 3 adult tickets and 5 child tickets for $100.

Find the prize of an adult ticket and the prize of a child ticket.

Answers

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

[tex]6a + 2c = 124[/tex]

as equation 1,

and

[tex]3a + 5c = 100[/tex]

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

[tex]3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200[/tex]

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

[tex](6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5[/tex]

Now substitute c into equation 2.

[tex]3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5[/tex]

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

Answer:

x=76

Step-by-step explanation:

The two marked angles are alternate angles, which means they're equal.

Answer

76%

Step-by-step explanation:

I think its defiantly not 104 because its smaller than 90% and not 41% because that's to small same with 67% so it is 76%

Pudding has 120 calories in 2 ounces. How many calories are in 8 ounces of the pudding?

Answers

Answer:

272 calories.

Step-by-step explanation:

jus solved it.

Answer:

480

Step-by-step explanation:

100% of 80 is what number?
Select one:

160

80

8

100

Answers

Answer:

80

explanation:

100% means that its the whole of something so all of the said number

Answer:

In converting to percentage we multiply by 100%

100% of 80 =

80/100 x 100%

0.8 x 100 = 80

NB the 100% of any number is the number itself

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