2
A person that is 6 feet tall casts a shadow that is 2.5 feet long. At the same time, a 120 foot tall building casts a shadow. What is the length of the shadow?
feet

Answers

Answer 1

Answer:

The building's shadow is 50 ft

Step-by-step explanation:

[tex]\frac{6}{2.5} =\frac{120}{x} \\\\6x=300\\x=50[/tex]


Related Questions

Helppp! Is Figure A’B’C’D’ a reflection of Figure ABCD? Explain. *

Answers

Yes. It would be a reflection over the line.

please help!!!Its timed !!!!! Ill give out most brainly and extra points !!!

Answers

Answer:

D)x=4,y=7

Step-by-step explanation:

to understand thisyou need to know about:equationPEMDASlet's solve:

according to the question

[tex] \begin{cases}x + 29 = 7x + 5 \\ 8y - 35 =3y \end{cases}[/tex]

[tex] \begin{cases}x -7x= 5-29 \\ 8y - 3y=35 \end{cases}[/tex]

[tex] \begin{cases}-6x= -24\\ 5y=35 \end{cases}[/tex]

[tex] \begin{cases}\frac{-6x}{-6}=\frac{-24}{-6} \\ \frac{5y}{5}=\frac{35}{5} \end{cases}[/tex]

[tex] \therefore \begin{cases} x=4\\ y=7 \end{cases}[/tex]

students at Westbrook middle school hold green team meetings

Answers

What’s the whole question???!

Find the equation of the line that is perpendicular to y=1/3x+10 and passes through (3,-4)​

Answers

Answer:

Step-by-step explanation:

1.   perpendicular slope will be the negative of the reciprocal

2.  so this will be -3 ( since the reciprocal of 1/3 is 3 and its negative is -3

3.  So use the values given for x and y (3,-4)

4.   substitute in the given equation using the -3 for the slope instead of 1/3

5.  To find a new b we substitute  for x and y

5.  y = 1/3x + 10

6.  -4 =  -3 (3) + b

7.   -4= -9+ b

8. b = 5

Equation of the line will be y = -3x + 5

Complete the work shown to answer the question.


p2 – 14p – 72 = 0


p2 – 14p = 72


p2 – 14p + 49 = 72 + 49


Which describes the solutions of the equation?


Since 7 and 11 are both rational, the sum and difference are rational.

Since 14 and 11 are both rational, the sum and difference are rational.

Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.

Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.


i got the answer its a

Answers

Answer:

Since 7 and 11 are both rational, the sum and difference are rational.

Step-by-step explanation: It's A

Answer:

Since 7 and 11 are both rational, the sum and difference are rational.Step-by-step explanation: A

how to rewrite equation 5x+7y-35=0 in slope intercept form?

Answers

Y equals 5 over 7x minus 5

how many meters are equal to 5,253 centimeters? use how the placement of the decimal point changes when dividing by power of 10 to help you​

Answers

Answer:

[tex]52.53\ \text{meters}[/tex]

Step-by-step explanation:

[tex]1\ \text{meter}=100\ \text{centimeter}[/tex]

[tex]1\ \text{centimeter}=\dfrac{1}{100}\ \text{meter}[/tex]

In the question the quantity that is required to be converted to meters is 5253 centimeters.

[tex]5253\ \text{cm}=5253\times \dfrac{1}{100}\\ =52.53\ \text{meters}[/tex]

So, the required measurement in meters is [tex]52.53\ \text{meters}[/tex].

HELP ME PLEASE ❗❗❗❗
What is the value of Q3 of the data represented by the box plot?



Enter your answer in the box.

Answers

Answer:

Q3 = 30

Step-by-step explanation:

minimum value = 5

Q1 = 20  (this is the median of the lower half of data)

Median (sometimes called Q2) = 25

Q3 = 30 (this is the median of the upper half of data)

maximum value = 45

If 45/60 is equivalent to 3/x, find the value of x

Answers

x = 4
EXPLANATION:

45/60 can be simplified by dividing both 45 and 60 by the same number.

We already know the numerator is 3.

so we have to do the equation 45 divided by 3. which is 15.

so now we do 60 divided by 15 to find x.

So x = 4





In a certain tropical forest, litter (mainly dead vegetation such as leaves and vines) forms on the ground at the rate of 10 grams per square centimeter per year. At the same time, however, the litter is decomposing at the rate of 80% per year. Let f(t) be the amount of litter (in grams per square centimeter) present at time t. Find a differential equation satisfied by f(t).

Answers

Answer:

df(t)/dt = 10 - 0.8f(t)

Step-by-step explanation:

The net rate of change, df(t)/dt = rate in - rate out

The rate in = rate litter forms on ground = 10 g/cm²/yr

Since f(t) is the amount of litter present at time, t, in g/cm² the rate out = rate of decomposition = the percentage rate × f(t) = 80% per year × f(t) = 0.8f(t) g/cm²/yr

Since df(t)/dt = rate in - rate out

df(t)/dt = 10 - 0.8f(t)

So the desired differential equation is

df(t)/dt = 10 - 0.8f(t)

A plane flying horizontally at an altitude of 1 mile and a speed of 460 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 miles away from the station. (Round your answer to the nearest whole number.)

Answers

Answer:

The rate increases at 398mi/h

Step-by-step explanation:

Given

[tex]\frac{dx}{dt} = 460mi/h[/tex] --- rate when [tex]y = 2[/tex] --- distance

The given parameters is represented with the attached figure

Using Pythagoras theorem [take the attached image as a point of reference]

[tex]y^2 = x^2 + 1^2[/tex]

[tex]y^2 = x^2 + 1[/tex]

Differentiate with respect to time (t):

[tex]2y \frac{dy}{dt} = 2x \frac{dx}{dt}[/tex]

Divide both sides by 2

[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex] --- (1)

When y = 2:

[tex]y^2 = x^2 + 1^2[/tex] --- Pythagoras Theorem

[tex]2^2 = x^2 + 1[/tex]

[tex]4 = x^2 + 1[/tex]

Collect like terms

[tex]x^2 = 4 -1[/tex]

[tex]x^2 = 3[/tex]

Solve for x

[tex]x = \sqrt 3[/tex]

So:

[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex]

Substitute: [tex]x = \sqrt 3[/tex], [tex]\frac{dx}{dt} = 460mi/h[/tex] and [tex]y = 2[/tex]

[tex]2 * \frac{dy}{dt} = \sqrt 3 * 460[/tex]

[tex]2 * \frac{dy}{dt} = 460\sqrt 3[/tex]

Divide by 2

[tex]\frac{dy}{dt} = 230\sqrt 3[/tex]

[tex]\frac{dy}{dt} = 230*1.7321[/tex]

[tex]\frac{dy}{dt} = 398.383[/tex]

[tex]\frac{dy}{dt} \approx 398[/tex]

Gary can paint a garage in 8 hours. Gary van do it in 6 hours. How long will it take if they all paint together?

Answers

The answer would be 2

given that the circumference of an orange us 50.24mm find the volume of the orange

Answers

Answer: 803mm

Step-by-step explanation:

How to find the value of x

Answers

Step-by-step explanation:

To find the value of x bring the variables to the left side and bring all what remained values to the right side and then simplify them to find the answer or the result hope I helped and a have a good luck

WILL MARK BRAINLIST
The second story gutters of a house need to be cleaned. The gutters are 18.7 ft. high on the house. If a ladder will be placed 6 ft. from the base of the house, how long will the ladder need to be to reach the gutters? Round to the nearest foot. *

A. 18 ft
B. 19 ft
C. 20 ft
D. 21 ft

Answers

Answer:

C. 20 Ft.

Step-by-step explanation:

Using The Pythagorean Theorem, a²+b²=c² , insert the known variables into the equation.

18.7²+6²=c²

This gives you 385.69 + 36 = 385.69.

Next, square the result to find the missing side length.

[tex]\sqrt{385.69[/tex]

The answer comes out to around 19.6, which can be rounded up to 20ft.

Hope this helped!

please help me if you know the answer

Answers

Dependent variable is the one on the y axis. So for this problem, it’s money collected.

With a capacity of 6,300 people, Royal Caribbean’s Oasis of the Seas is the world’s largest cruise ship. The average beer consumption over 35 randomly selected seven-day cruises on the ship was 81,740 bottles. From historical data you know that the population standard deviation of beer consumption is 4,590 bottles. Royal Caribbean would like to estimate the average beer consumption to plan its beer inventory levels on future cruises. (The ship certainly doesn’t want to run out of beer in the middle of the ocean!)
A. Construct a 95% confidence interval to estimate the average beer consumption per cruise.
B. Verify this interval using excel.
C. What assumptions need to be made about this population?

Answers

Step-by-step explanation:

Mean = 81740

Standard deviation = 4590

Sample size = 15

Alpha level = 1-0.95 = 0.05

Df = 15-1 = 14

Critical value:

alpha/2 = 0.05/2 = 0.05

t0.025

t critical value = 2.145

Margin of error ME

2.145 x 4590/√15

2.145 x 4590/3.873

ME = 2542.09

Confidence interval

Lower CI = mean - ME

= 81740-2542.09

= 79197.91

Upper CI = mean + ME

= 81740+2542.09

= 84282.09

[ 79197.91, 84282.09]

B.

Using excel, exact answer for CI

Lower limit = 79198.142724212173

Upper limit = 84281.8572757827

C.

The assumptions to be made from the population are that

1. Samples are random

2. These samples are gotten from an approximately normal distribution

Question 3 Matt has yard of fishing line. He uses of the line to make fishing knots. How many yards of fishing line does Matt use to make fishing knots? Show your work Solution

Answers

Answer:

aSDFGHJLLMNNBBBBVCDDG

Step-by-step explanation:

log8(216)+[log(42)_log(6)]÷log(49)​

Answers

Answer:

3 log (3) + 1/2

Step-by-step explanation:

log8(216) + [log(42) - log(6)] ÷ log(49)​ =log (216)/ log (8) + [log (7) + log (6) - log (6)] ÷ 2 log (7) =3 log (3) log (2)  / 3 log (2) + log (7) / 2 log (7) = 3 log (3) + 1/2

PLZ HELP ASAP 30 POINTS (Plz show work)

Choose a trinomial to factor.
3x2 − 15x + 18
10a2 + 5a − 30
4n2 − 10n − 24

Answers

3x2-15x+18
=x-3+6

10a2+5a-30
2a-6

4n2 -10n-24
=2n-5-12

Answer:

x=6 x=-1

a=1.5 a=-2

n=-1.5 n=4

Step-by-step explanation:

(a) (b) (c)

10a2+5a-30

x=-b+-√b2-4ac/2a

a=-5+-√(5)2-4(10)(-30)/2(10)

a=-5+-√25+1200/20

a=-5+-√1225/20

a=-5+√1225/20

a=1.5

a=-5-√1225/20

a=-2

Please help me I don’t understand

Answers

Answer:

x = 25

Step-by-step explanation:

By tangent of properties, we can get that triangle DBA is congruent to triangle DCA,

Thus, we come to the conclusion that 2x + 3 = 53

x = 25

which multiplication equation describes the picture of the third pies below?

Answers

Answer:4x1/3=4/3

Step-by-step explanation:

In the pictures there’s 4 one thirds and if u add them together is 4/3

please help with this algebra question

Answers

Answer:

i think its

[tex]P(x) = i ^{3}[/tex]

Step-by-step explanation:

The circle has a circumference of 9.42 units. What is the area of the square? Use 3.14 for π. Explain how you found the answer.

Answers

Answer:

7.065 sq. units

Step-by-step explanation:

The circumference is given, thus you can use the equation 2πr = circumference to find out the radius first, r = 1.5.

Area = πr²

∴The required area is 7.065 sq. units

Which of the following is true about the expression 7 + V3?

Answers

Answer:

is this a multiple-choice question?

Step-by-step explanation:

**i'll go back and change my answer, i promise**

Which statement are true regarding undefinable terms in geometry

Answers

Answer: A plane has two dimensions because it is a flat surface that has length and width but no depth.

Answer:

Surface answer

Step-by-step explanation:

Because the surface has a length and width and does not have a depth

A builder is buying property where she can build new houses. The line plot shows the sizes of the lots for each house. How many acres does the builder buy? *
X. X. X
X X. X
X. X. X
X. X x
X. X x
X 2/6 3/6
X
X
X
X
X
1/6

Answers

Answer:

can you send me a pic of how it looks because it's confusing to understand

Simplify.
(5+squartrt3)2


25 + sqrtrt10
10 + 28sqrtrt3
28 + 10sqrtrt3

Answers

Answer:

Step-by-step explanation:

If the 2 is an exponent, it needs to be written as ^2.

(5+√3)²  = 5² + 10√3 + 3 = 28 + 10√3

Executives for a grocery store chain want to survey their employees about a new policy regarding break times. To
get a representative sample of 40 employees, they randomly select 10 people from each of the different job titles at
the store (cashier, bagger, stocker, and manager). Which sampling method was used?
O cluster sampling
O simple random sampling
O stratified random sampling
O systematic random sampling

Answers

Answer:

Stratified random

Step-by-step explanation:

got it right

Answer:

C

Step-by-step explanation:

At what point do the line x+y=10 and y=2x+1 intercept

Answers

Answer:

do you have a picture of the question

Answer:

(3,7)

Step-by-step explanation:

Use a system of equations to solve for x and y which would be the only points where the two lines intersect

x+y=10

y=2x+1

since y=2x+1 you can put 2x+1 for y

so x+2x+1=10

3x+1=10

3x=9

x=3

put that back into x+y=10

3+y=10

y=7

So the only point where those two lines intersect is (3,7)

Hope that helps :)

Please give brainliest

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