1. A football goal post casts a shadow 120 inches long. You are 5 feet 6 inches tall and cast a shadow 16.5 inches long. Find the height of the goal post in feet. Round your answer to the nearest whole number.

Answers

Answer 1

Answer:

40 feets

Step-by-step explanation:

Given that :

Person's height = 5feet 6 inches ;

Person's height in inches ;

1 foot = 12 inches ;

5 feets = (12 * 5) = 60 inches

Person's height = 60 + 6 = 66 inches

Height of person's shadow = 16.5 inches

Height of post shadow = 120 inches

Height of goal post = x

(Height of goal post / height of post shadow) = (person's height / person's shadow)

x / 120 = 66 / 16.5

Cross multiply :

16.5x = 120 * 66

16.5x = 7920

x = 7920 / 16.5

x = 480 inches

To feets ;

1 foot = 12 inches

480 inches = 480/12 feets = 40 feets


Related Questions

I will be marking brainliest please help me with these questions.

Answers

Answer/Step-by-step explanation:

1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:

Area of shaded region = area of triangle - area of rectangle

Area of shaded region = ½*base*height - length*width

1. a. Volume of triangular prism = area of triangular base * height of prism

Volume of triangular prism = ½bh * H

Where,

b = 6 m

h = 4 m

H = 8 m

Substitute

Volume of prism = ½*6*4*8

Volume of prism = 96 m³

b. Volume of sphere = ⁴/3πr³

Where,

r = 9 cm

Substitute

Volume = ⁴/3*π*9³

Volume = ⁴/3*π*729

Volume ≈ 3,053.6 cm³ (nearest tenth)

2. Use Pythagorean theorem to find the height of the cone

radius of the cone (r) = ½(16) = 8 cm

Slant height (l) = 11 cm

height (h) = ?

Using Pythagorean theorem, we have:

h = √(l² - r²)

Substitute

h = √(11² - 8²)

h = √(57)

h ≈ 7.5 cm (nearest tenth)

b. Volume of the cone = ⅓πr²h

where,

r = 8 cm

h = 7.5 cm

Volume = ⅓*π*8²*7.5

Volume = 502.7 cm³ (nearest tenth)

if you have 500 dollars and spend 20 every week then what would be the slope explain

Answers

Answer:

y=-20m+500

Step-by-step explanation:

i need help anybody ?

Answers

Answer and Step-by-step explanation:

Simply use the Pythagorean Theorem to solve.

The Pythagorean Theorem is used to solve for a side in right triangles.

[tex]A^{2} +B^{2}= C^{2}[/tex]

Plug the sides values into the equation.

[tex]A^{2} + 13^2 = 20^2\\\\A^2 + 169 = 400\\\\A^2 = 231\\\\A = 15.1987[/tex]<- This is the answer.

#teamtrees #PAW (Plant And Water)

I met this hella weird cryptic dude who interviewed me and gave me this puzzle. Solve it within 12 hours and ill let you know what he says. Row zero (0) must be solved.

Your final code should contain nine (9) letters, and one (1) number. The number two (2) has been given to you as the first character in your final code.

Disclaimer: This code is foreign, meaning it is not a word or sentence from any language. It is a string of specific characters. You will be given a second, simpler cipher to decrypt that reads "graph." It has already been solved for you. Understanding how this smaller chart produces "graph" will grant you the deciphering method used for the large cipher.

This cipher must be completed at maximum twenty-four (24) hours from reception. Failure to complete in this time will result in re-calibration via interviewing, not disqualification, should you (as a participant) wish to continue.

To validate this code, or request further clarification, refer to this account.

Speaking to any personnel regarding the cipher without supervision is strictly prohibited, and will result in disqualification.

HINTS:

"^," or Carrots, signify a capitalized letter in the string. Capitalization matters.

Everything you need to complete this cipher is given here.

Only very basic math was used to encrypt this key (Multiplication and Division).

You are not allowed to ask others for help without the supervision of the employment center. We will know if you've leaked, or gave any information out regarding this Cipher. We are entrusting you with it.

Best of luck

Answers

no cheating thanks <3

Find the area of the shaded regions:

Answers

Answer:

18[tex]\pi[/tex]

[tex]\frac{80}{360} * 81 \pi[/tex]

Step-by-step explanation:

NEED some HElp please
Explain why the amount of money in the account at the end of the first year is given by the formula with n as the exponent:

P = P∨0 (1 + r/n)^n

Answers

Answer:

Is this answer correct.Does the anwer help you

Find the value of x-8 when x=16.

Answers

Answer:

8

Step-by-step explanation:

x=16

x(16)-8=8

The answer is 8, plug in 16 for x (16)-8=8

I need help please slope

Answers

Answer:

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1 where y2 and x2 are the x and y coordinates from a coordinate pair and y1 and x1 are the coordinates from another coordinate pair. In this case, 2 coordinate pairs are given: (30,75) and (10, 35)  75-35/30-10 would be your slope, or, 40/20, or simplified, 2.

Your slope is 2

provisions for 630 men to last for 25 days. How many men must be transferred to another camp so that the food lasts for 30 days?​

Answers

Answer:

105

Step-by-step explanation:

25 days = Food for 630 men

30 days = x           (Inverse variation)

30 * x = 630 * 25

x = 630 * 25/30

  = 21 * 25

  = 525 men.

630 - 525 = 105 men.

Therefore, 105 men must be transferred to another camp so that the food lasts for 30 days.

On the coordinate plane, point P is located at (3, y) and point Q is located at (1, -4). The distance between
points P and Q is 29 units.
What are the two possible values of y?

Answers

Answer:

y = 23, -31

Step-by-step explanation

ttyl

The lengths of the diameters of two concentric circles are 6 and 8. What is the distance between the circles?

Answers

Answer:  1 unit

Explanation:

The diameters are 6 and 8, which cut in half to 3 and 4 respectively.

The difference in these radii values is 4-3 = 1.

This is the distance from one circle's edge to the other circle's edge, such that we're on the same line that goes through the center of the circles. This is the gap width or ring width so to speak.

A regular square pyramid has a slant height of 5 in and a base area of 49 in2. Find the surface area of the pyramid. ------------------------------------------------------------------------------------------- 171.5 square inches 70 square inches 119 square inches 245 square inches

Answers

Answer:

C: 119 square inches

Step-by-step explanation:

We are given;

Slant height; L = 5 in

Base area; B = 49 in²

Since it's a square pyramid, the base portion has a square shape.

Thus, area of base = x²

Where x is a side of the square.

Thus;

x² = 49

x = √49

x = 7

Perimeter of base = 7 × 4 = 28 in

Area of pyramid = ½PL + B

Plugging in the relevant values;

Area of pyramid = (½ × 28 × 5) + 49

Area of pyramid = 119 in²

if u can help be fast please​

Answers

A) 5 sides = 72.00

interior =108.00

B) 9 sides = 40.00

interior = 140.00

C) 15 sides = 24.00

interior = 156.00

D) 19 sides = 18.95

interior = 161.05

These are exterior angles right? y'know what I'll just put both

HELP DUE IN 10 MINUTES

Answers

Answer:

Step-by-step explanation:

For Part A, use the pythagorean theorem to find the height, which ca be found by finding one length of the leg. Using the imaginary bisector, you can determine one of the legs is 5 cm, and the hypotenuse is 13 cm

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse. Plug in the values to solve for one leg, you get 25+b^2=169

Solve algebraically, b^2= 144, so b=12, which is the height.

Part B

Determine the surface area of each cardboard piece, and add together.

20 × 13 × 2 = 520

1/2 × 10 × 12 × 2 = 120

20 × 10 = 200

So approximately 840 cm of cardboard was used

HELP QUICK ILL GIVE BRAINLIEST

Answers

Answer:

here's the answer to your question

Answer: √18

√(4-1)^2 + (5-2)^2

√9 + 9

√18

Answered by Gauthmath must click thanks and mark brainliest

Does the point (2, 6) lie on the circle shown? Explain.
O Yes, the distance from (3, 0) to (0, ) is 3 units.
O Yes, the distance from (0, 0) to (2, V6) is 3 units.
O No, the distance from (3, 0) to (2, 6) is not 3 units.
O No, the distance from (0, 0) to (2, 6) is not 3 units.

Answers

Answer:

A.

Step-by-step explanation:

the square root of 6 is roughly 1.57

so that means the ordered pair would read (2,1.57).

if you were to plot that point it would be on the circle.

Also the distance from the origin (0,0) to (3,0) is 3 units

We will see that the correct option is:

"No, the distance from (0, 0) to (2, 6) is not 3 units."

Does (2, 6) lie on the circle shown?

We know that the circle has a radius of 3 units, then we need to see if the distance between (0, 0) and (2, 6) is 3 units.

Here we have:

[tex]D = \sqrt{(6 - 0)^2 + (2 - 0)^2} = \sqrt{36 + 4} = \sqrt{40} \neq 3[/tex]

So the distance between (0, 0) and (2, 6) is different than 3 units, meaning that the point is not in the circle.

If you want to learn more about circles:

https://brainly.com/question/1559324

#SPJ5

complete the square x^2+45=-14x

Answers


2
+
4
5
=

1
4

x
2
+
45
=

14
x
x2+45=−14x

2
+
4
5


1
4

=
0

When leaving a town, a car accelerates from 30 kmh-1 to 60 kmh-1 in 5 s. Assuming the
acceleration is constant, find the distance travelled in this time.
A. 6 m
B. 62.5 m
C. 41.7 m
D. 20.8 m

Answers

Answer:

B .62.5 m

Step-by-step explanation:

convert Kmh-1 in to ms-1

30 Kmh-1 = (30×1000) ÷3600 = 8.3ms-1

60 Kmh-1 = (60×1000) ÷3600 = 16.6 ms-1

acceleration = (16.6 - 8.3) ÷ 5 = 1.66 ms-2

V^2 = U^2 +2aS

(16.6)^2 = (8.3)^2 + 2×1.66 ×S

S = 62.5 m

What is the expected value?

Answers

Answer:

2.1

Step-by-step explanation:

The expected value of a probability is given by the formula:

E(x) = Σxp(x)

Therefore from the table showing the winnings of a game, the expected value of the probability distribution is:

E(x) = Σxp(x) = (0 * 0.5) + (2 * 0.2) + (4 * 0.15) + (6 * 0.1) + (10 * 0.05)

E(x) = 0 + 0.4 + 0.6 + 0.6 + 0.5 = 2.1

Hence we can conclude that the expected value of the winnings of the game is 2.1.

Elias made a polyhedron with 9 edges and 5 faces. Which solid could he have made?

Answers

The polyhedron that Elias could have made is a TRIANGULAR BASED PRISM.

Triangular based prism are as described below:

A triangular-based prism is known to consists of 9 edges and 5 faces as shown in the diagram below.

It is a three-sided prism and also a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sidesThe edges are made up of lines and these lines are the ones that intersect to form faces

Learn more here: https://brainly.com/question/16682058

Answer: c

Step-by-step explanation:

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The median of the lower half of the data set is the _____________.
A. Third quartile
B. First quartile
C. Fourth quartile
D. Second quartile

Answers

Answer:

B. First quartile

Step-by-step explanation:

The first quartile is the first 25% of a line graph, and the median of the lower half of a data set would be the median of the median, which means it would split the graph at 25%

Find the value of x for which (4/5)-4 X(4/5)-7 = (4/5)2x-1

Answers

Answer:

0.8 -4*0.8-7=0.8*2x-1

0.8-3.2-7=1.6x-1

0.8-10.2+1=1.6x

1.8-10.2=x1.6

-8.4=x 1.6

x= -8.4 / 1.6

x= - 5.25

f(x) = (x - 5) (2x - 7) (7x - 3) has zeros at x = -3.5, x = 3/7, and x = 5.

what is the sign of f on the interval 3/7 < x < 5 ?

1. f is always positive on the interval.
2. f is always negative on the interval.
3. f is sometimes positive and sometimes negative on the interval.

Answers

The function f(x) will be sometimes positive and sometimes negative on the interval so option (3) will be correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

In other terms, a function is a relationship between variables, and the type of relationship that exists between the variables defines the function, such as y = sinx and y = x +6.

Given function is

f(x) = (x - 5) (2x - 7) (7x - 3)

The term (x - 5) will be negative if x < 5.

The term (2x - 7) will be negative if x<3.5

Let's say if x = 4 then (x - 5) will be negative but (2x - 7) will be positive and hence overall value will be negative.

But if x = 3 then (x - 5) will be negative and (2x - 7)  will also be negative and hence overall value will be negative

Hence the function f is sometimes positive and sometimes negative on the interval.

For more about the function

brainly.com/question/23712366

#SPJ5

Answer:

always negative the other guy was wrong because when you wrote 2x - 7 you meant 2x + 7 I know this because it’s on Khan Academy

Step-by-step explanation:

1. write it on a piece of paper

Answers

[tex]\\ \sf\longmapsto 1\dfrac{1}{2}+2\dfrac{3}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{2}+\dfrac{11}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6+11}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{17}{4}[/tex]

2:-

[tex]\\ \sf\longmapsto 4\dfrac{3}{7}+6\dfrac{1}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{31}{7}+\dfrac{31}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{155+225}{35}[/tex]

[tex]\\ \sf\longmapsto \dfrac{380}{35}[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

3:-

[tex]\\ \sf\longmapsto 4\dfrac{2}{5}+5\dfrac{2}{6}[/tex]

[tex]\\ \sf\longmapsto \dfrac{22}{5}+\dfrac{32}{6}[/tex]

[tex]\\ \sf\longmapsto \dfrac{132+160}{30}[/tex]

[tex]\\ \sf\longmapsto \dfrac{292}{30}[/tex]

4:-

[tex]\\ \sf\longmapsto 3\dfrac{7}{7}+3\dfrac{1}{3}[/tex]

[tex]\\ \sf\longmapsto \dfrac{28}{7}+\dfrac{10}{3}[/tex]

[tex]\\ \sf\longmapsto 4+\dfrac{10}{3}[/tex]

[tex]\\ \sf\longmapsto \dfrac{12+10}{3}[/tex]

[tex]\\ \sf\longmapsto \dfrac{22}{3}[/tex]

1.

[tex] \bf \large \longrightarrow \: \: 1 \frac{1}{2} \: + \: 2 \frac{3}{4} \: = \: \\ [/tex]

[tex] \bf \large \longrightarrow \: \: \frac{3}{2} \: + \: \frac{11}{4} \\ [/tex]

[tex] \bf \large \longrightarrow \: \: \frac{6 \: + \:11 }{4} \\ [/tex]

[tex] \bf \large \longrightarrow \: \: \frac{17}{4} \\ [/tex]

2.

[tex]\bf \large \longrightarrow \: \: 4 \frac{3}{7} \: + \: 6 \frac{1}{5} \\ [/tex]

[tex]\bf \large \longrightarrow \: \: \frac{31}{7} \: + \: \frac{31}{5} \\ [/tex]

[tex]\bf \large \longrightarrow \: \: \frac{155 \: + \: 217}{35} \\ [/tex]

[tex]\bf \large \longrightarrow \: \: \frac{372}{35} \\ [/tex]

3.

[tex]\bf \large \longrightarrow \: \: 4 \frac{2}{5} \: + \: 5 \frac{2}{6} \\ [/tex]

[tex]\bf \large \longrightarrow \: \: \frac{22}{5} \: + \: \frac{32}{6} \\ [/tex]

[tex]\bf \large \longrightarrow \: \: \frac{132 \: + \: 160}{30} \\ [/tex]

[tex]\bf \large \longrightarrow \: \: \frac{292}{30} \\ [/tex]

4.

[tex]\bf \large \longrightarrow \: \: 3 \frac{7}{7} \: + \: 3 \frac{1}{3} \\ [/tex]

[tex]\bf \large \longrightarrow \: \: \frac{28}{7} \: + \: \frac{10}{3} \\ [/tex]

[tex]\bf \large \longrightarrow \: \: \cancel\frac{28 ^{4} }{7 \: ^{1} } \: + \: \frac{10}{3} \\ [/tex]

[tex]\bf \large \longrightarrow \: \: \frac{4}{1} \: + \: \frac{10}{3} \\ [/tex]

[tex]\bf \large \longrightarrow \: \: \frac{12 \: + \: 10}{3} \\ [/tex]

[tex]\bf \large \longrightarrow \: \: \frac{22}{3} \\ [/tex]

Please help: 6m - m = 5/6(6m - 10)

Will mark brainliest!!

Answers

Answer:

No solution.

Step-by-step explanation:

[tex]6m-m=\frac{5}{6}(6m-10)\\5m=5m-\frac{25}{3}\\0\neq -\frac{25}{3}[/tex]

Therefore, there is no solution.

Can u help solve this

Answers

Answer:

Sure:)! the answer is-487.5

Step-by-step explanation:

1.3x3xr^31.3x3=3.93.9r^3r=55x5x5=1253.9x125=487.5

As said in the problem pie=3 as determined in the problem. Hence, the answer is 487.5

Hope this helps :)!

Step-by-step explanation:

[tex]volume = \frac{4}{3} \pi \: {r}^{3} \\ = here\pi = 3 \\ then \: v = \frac{4}{3} \times 3 \times {5}^{3} \\ = 4 \times 125 \\ = 500 {in}^{3} \\ thank \: you[/tex]

If 12 out of 30 fruits are oranges, how many oranges fruits will there be per 100 fruits total?​

Answers

Answer:

40 oranges are there in 100 fruites.

please answer algebra question I put it into a calculator and it didn’t work 4x-5=4(x-2)+3

Answers

Answer:

solving for X it would be (-infinity ♾️, +infinity ♾️) or all real numbers

Simplify: squrt 18x⁷

Answers

Answer:

3x^3 ⋅ √2x

Step-by-step explanation:

m. Proportions
1) Write a proportion for the situation, then solve the
proportion to answer the question.
nation:
a. A 6 foot high fence casts a 7 foot shadow.
Standing beside the fence is a tree that casts a
31.5 foot shadow. How tall is the tree?

Answers

Answer:

height of tree is 27 ft

Step-by-step explanation:

The corresponding parts of the problem are in proportion

let h be the height of the tree , then

[tex]\frac{6}{h}[/tex] = [tex]\frac{7}{31.5}[/tex] ( cross- multiply )

7h = 189 ( divide both sides by 7 )

h = 27

Height of tree is 27 feet

Other Questions
25 x square - 4y Square = 36 equation 1 5 x - 2 y=2equation 2 Anyone knows the answer? Based on the Lewis/electron dot representationof the two atoms, predict the ratio of metalcationic (+) atom to nonmetal anionic (-) atom inthe compound..Ca..P.A. 1:1B. 3:2C. 2:1D. 3:1Can someone plz tell me how to do this. How many phylums are there in the kingdom animalia Mt con lc l xo treo thng ng c cng 30 N/m v vt nng c khi lng 320 g. Kch thch d cho qu nng dao ng iu ho theo phng thng ng xung quanh v tr cn bng vi bin 6 cm. Ly g = 10m/s. ln lc ko ln nht ca l xa lin im treo trong qu trnh qu nng dao ng l Which equation can be used to find the number of students needed to make 1,500 in profit ? simplify (5abc 6ac + 7cb) (10abc + 6ac 8bc) What religion developed in India during the rule of the Mughal Empire?O A. SikhismB. HinduismO C. Neo-ConfucianismO D. Islam Search the internet for one positive and one negative example of health and fitness advertisements. Reflect on each example by completing the chart below:DescriptionWhat is the ad selling? What is the message?Advertising TechniqueExplanation of Impactwww.yoursite.netThis ad is selling Medishakes and shows a picture of the shake with statisticsScientific EvidenceBy stating that 7 out of 10 doctors recommend MediShake for optimum health, this ad convinces the buyer that this product is backed up by scientific facts.Positive ExampleNegative Example In which of the scientific classifications are all the animals grouped PLEASE TRY TO HELP SOLVE EITHER ONE (OR BOTH). THX!1. Take an 13 by 8 rectangular grid. Color each of the 1 by 1 cells either solid red, solid white, or solid blue. Show that there are at least two 2 by 2 squares in the grid that are colored exactly the same.2. Every day of the 10-week summer break, Pamela ate 1 or 2 carrots. Over the course of the summer, she ate a total of 100 carrots. Show that there was an interval of days during the summer break during which Pamela ate exactly 35 carrots. To begin the experiment, Xavier washed his hands and put on safety goggles. He then measured 120 milliliters of tap water, 2.5 milliliters of baking soda, and 2.5 milliliters of citric acid. The initial temperature of the water was 23.5C.Next Xavier added the baking soda and citric acid to the water. The mixture immediately began to bubble vigorously, which lasted for about 30 seconds. The new temperature of the mixture was 17.7C.Is a chemical reaction taking place during Xaviers experiment? How do you know? WILL GIVE BRAINLIEST!!!!!!!!!!!!!!! When perchloric acid (HClO4) reacts with tetraphosphorus decaoxide, phosphoric acid and dichlorine heptaoxide are produced.a. Treib. False Which of these organelles prepares proteins to be fully functional?A. Rough endoplasmic reticulumB. Large vacuolesC. Smooth endoplasmic reticulumD. Chloroplasts The duration of shoppers' time in Browse Wrld's new retail outlets is normally distributed with a mean of 27.8 minutes and a standard deviation of 11.4 minutes. How long must a visit be to put a shopper in the longest 10 percent A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon? Explain the role of cellular respiration in a cell. You can take __________ the shirt ____________ the sweater .Not both. A.Neither--------- nor B.Either-----------or Put the verbs in brackets: present perfect or present perfect continuous or past perfect.1. Before my trip to Paris two years ago, I ( never be) __ to France.2. When we finally stopped him, the squirrel ( already eat) ___ five cookies.3. Ben ( try ) ___ to open his own restaurant for the last few years. He ( just finish ) ___ the painting, but he ( not do ) ___ the decorating yet.4. You look tired. How long ( run) _____ ? Devaughn is 10 years older than Sydney. The sum of their ages is 104. What is Sydney's age?I