5. INDIRECT MEASUREMENT A lighthouse casts a 128-foot shadow. A nearby lamppost that

measures 5.25 feet casts an 8-foot shadow.

Write a proportion that can be used to determine the height of the lighthouse. What is the height of the lighthouse?

MGSE9-12.G.SRT 5

b. 5.25

a. 1285.25; 195 ft

X 128

8 ; 84 ft

128

c. 5.25" 8 ; 672 ft

X 128

d. 3 5.25; 195 ft

Answers

Answer 1

Using proportions, it is found that the height of the lighthouse is of 84 ft.

This question is solved by proportions, using a rule of three.For a height of 5.25 feet, the shadow is of 8 feet. What is the height when the shadow is of 128 feet?

The rule of three is:

5.25 feet - 8 feet

x feet - 128 feet

Applying cross multiplication:

[tex]8x = 5.25(128)[/tex]

[tex]x = \frac{5.25(128)}{8}[/tex]

[tex]x = 84[/tex]

The height of the lighthouse is of 84 ft.

A similar problem, which also uses proportions, is given at https://brainly.com/question/24372153


Related Questions

Ava bought 2 sandwiches for a total of $5.25 , a bowl of soup for $3.00, and a bag of chips for 1.25. How much change did she get back if she paid with a $20.00 bill?

Answers

Answer:

she would get 11 dollars back

Step-by-step explanation:

look....first count all the money together 5 + 3 + 1 = 9............Then subtract 9 from 20 and there u go

$5.25 + $3.00 + $1.25 = $9.50

Ava spent $9.50 total.


$20.00 - $9.50 = $10.50

After paying with a 20 dollar bill, she would receive $10.50 in change.

Claim: Fewer than 95​% of adults have a cell phone. In a reputable poll of 1170 ​adults, 90​% said that they have a cell phone. Find the value of the test statistic.

Answers

Answer:

From the information given, it is found that the value of the test statistic is z = -11.97.

At the null hypothesis, it is tested if the proportion is of at least 95%, that is:

At the alternative hypothesis, it is tested if the proportion is of less than 95%< that is:

The test statistic is given by:

In which:

is the sample proportion.

p is the value tested at the null hypothesis.

n is the sample size.

In this problem, we have that the parameters are:

.

Thus, the value of the test statistic is:

The value of the test statistic is z = -11.97.

Step-by-step explanation:

hope it helps

please mark brainliest

Identify the slope and y-intercept for 3x + 4y = 9.

Answers

The answer is:

Slope: -3/4

Y-intercept: (0, 9/4)

simplify 12b+4b^2-10b

Answers

Answer:

4 b 2 + 2 b

Step-by-step explanation:   hope it helps

what number is one less than a cube number 20 22 24 26

Answers

Answer:

18

Step-by-step explanation:

:)

Find the distance between the points (



9.5,4.1) and (2.7,4.1).

Answers

Answer:

Step-by-step explanation:

Distance formula: [tex]d=\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}[/tex]

[tex]d=\sqrt{(4.1-4.1)^{2}+(2.7-9.5)^{2}}=\sqrt{(-6.8)^{2}} = 6.8[/tex]  

Note that distance is always positive

Can someone pls help me
Please show your work

Answers

Answer:

-5=x

Step-by-step explanation:

Angle 105º = (110+x)º

Solve for x.

105=110+x

Subtract 110 from both sides of the equation.

-5=x

Hope this helps :)

-5

110+x=105
-110 -110

X=-5

Which is a better deal (assuming you like yoga and plan to go often)? Group of answer choices One yoga class for $14 A ten-class pack for $135 A 20-class yoga package for $260

Answers

Answer:

it is the $14 pack

Step-by-step explanation:

the reason it is the $14 pack is because you can buy 2 of them for $28 dollars and wont have o pay #135 or $260 for something like that.

_______ x 0.7 = 0.287

Answers

Answer:

0.41

Step-by-step explanation:

Simply reverse it:

0.287 / 0.7 = 0.41

Answer:

0.41 is the answer for _______×0.7=0.287

Write the linear equation in slope-intercept form and simplify.
–4x + 13y = 7

Answers

[tex]\\ \sf\longmapsto -4x+13y=7[/tex]

[tex]\\ \sf\longmapsto 13y=4x+7[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{4x+7}{13}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{4}{13}x+\dfrac{7}{13}[/tex]

All the assignment for 25 points

Answers

Answer:

X = 6.2m

Step-by-step explanation:

118 - 19x =

Answer:

the length would be 40

Step-by-step explanation:

step 1) multiply 19 for both short sides = 38

step 2) subtract from total perimiter = 80

step 3) 80 divided by 2 to calculate length/long side = 40

Please help i will give brainliest :)

Answers

To find slope:

m = (212-32)/(100-0) = 180/100 = 1.8

We can see that the y intercept is 32, because they give you the point (0, 32).

So y = 1.8x + 32 is the equation in slope intercept form.

table value equation for y=2x + 4

Answers

Answer:

below

Step-by-step explanation:

All we need to do is substitute the x values given in the table to find each value of y thats blank.

When x = -1,

y = 2(-1) + 4

y = -2 + 4

y = 2

When x = 1,

y = 2(1) + 4

y = 2 + 4

y = 6

Whe x = 2,

y = 2(2) + 4

y = 4 + 4

y = 8

Best of Luck!

Which capital letters have one or more lines of symmetry?
A) X
B) Z
C) H
D) C

Answers

Answer:

h has 4 lines x has 2 z has 3 c has none

Step-by-step explanation:

Suppose that a piano costs $6,000 and loses 15% of its value each year. The table below shows the value, v, of a piano after, t, years.
Part A: Write an equation to find the value of the piano, v, after t years.
Part B: What will be the value of the piano after 16 years? Round your answer to the nearest hundredth.

Answers

v(value)=6000-0.15t(years)

Part B would be $445.50

4.$3132.03

5$2662.23

6$2262.89

7$1923.46

8$1634.94

9$1389.70

10$1181.24

11$1004.05

12$853.45

13$725.43

14$616.61

15$524.12

16$445.50

i just wanna make sure yall, when it says find the coordinates does mean
to find x and y?

Answers

Answer:

it means to graph the x and the y are horizontal and vertical lines that you use in graphs to graph the number or to reach it ,, hope this helps ..

Step-by-step explanation:

solve the simultaneous linear equations by using the elimination method​

a - b = -3
3a - 4b = -5

Answers

Answer:

3a -3b= -9

3a - 4b = -5

-------------------

b=-4

4a- 4b= -12

3a - 4b = -5

-------------------

a = -7

Factor out the GCF from the terms of the polynomial –4y^5 + 6y^3 + 8y^2 – 2y.
I know that it is either B or D but I got confused

Answers

Answer:

D

Step-by-step explanation:

PLEASE ANSWER QUICK

What is the domain of f?

Answers

Answer:

-7 ≤ x ≤ 7

General Formulas and Concepts:

Algebra I

Coordinate Planes

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph we can see that our x values span from -7 to 7. Since both are closed dot, they are inclusive in our domain:

[-7, 7] or -7 ≤ x ≤ 7

Answer:

A -7<=x<=7

Step-by-step explanation:

Domain is the set of x values which fulfill the function. We can tell from the graph that the x values start from -7 and last to 7. therefore the domain is A

if someone would me it would meaqn alott

Answers

Answer:

ration of bream to tench to carp

12: 7: 21

Step-by-step explanation:

12/40 = bream

28/40 = not bream

(28/40) x (1/4) = tench

(28/40) x (3/4) = carp

tench = (28/40) x (1/4)

= 7/40

carp = (28/40) x (3/4)

= 21/40

ration of bream to tench to carp

12: 7: 21

Answer:

12:7:21

Step-by-step explanation:

If you have 40 total, the non-bram are (40-12) = 28. One quarter of them, or 7 (since 7x4=28)are trench. It leaves 28-7= 21 carps. The total ratio is: 12:7:21. Since the three numbers are co-primes (ie, they don't share a divisor between all 3) there is no way to simplify the ratio (or, if you prefer, their sum, 40, is the minimum ammount of fishes you need to have a whole number of fishes in the pond).

what triangle is formed with the angles 32 126 and 32

Answers

An obtuse triangle would be formed. If you add all the angles, you get a total of more then 180 causing it to b obtuse.

Solve for j.

j − –95 = 822

j =

Answers

Answer:

j = 727

Step-by-step explanation:

j - (-95) = 822j + 95 = 822j = 822 - 95j = 727

How to solve quadratic using completing the square.

Answers

Answer:

You can solve quadratic equations by completing the square. Completing the square involves creating a perfect square trinomial from the quadratic equation, and then solving that trinomial by taking its square root.

Step-by-step explanation:

Martin had 7 pounds of grapes left, and he gave away 2
5
of them. Explain how to use compatible numbers to estimate the amount of grapes he gave away.
#Nova

Answers

Answer: 2/5 is closer 1/2. and it is easy to find half of 7 mentally. Half of 7 is 3.5, so Martin gave away about 3.5 pounds away.

What is the value of x

Answers

Answer:

12

Step-by-step explanation:

We know the hypotenuse and legs of 45° right triangle have ratio:

h ÷ l = √2 ÷ 1

Substitute given values and find x:

x ÷ 6√2 = √2x = 6√2 × √2 x = 12

100 POINTS WHEN ANSWERED AND BRAINLIEST GIVEN TO FIRST CORRECT ANSWER WHENEVER IT LETS ME

Hello there, below here is an attached file of the particular question I have. Thank you so much for coming here to answer! I appreciate you, and I hope have a good day or night!

Answers

Answer:

a: 0

b: 1,3

c: 2

Step-by-step explanation:

a: 4 is the y intercept meaning 0 is the number of seconds when the ball is 4 feet in the air

b: to easily find this, we can graph.

1st screenshot is for B.

We see that y=52 intersects twice with the graph, meaning the ball was at 52 feet twice. the times are 1 second and 3 seconds

a: we graph again, but with y=68 we see that it only intersects once. at x=2.

0.0346 written in standard form​

Answers

Answer:

3.46x10-2

×

10

2

3.46

×

10

2

Explanation:

a number expressed in

standard form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

a

×

10

n

2

2

−−−−−−−−−−−−

where

1

a

<

10

and n is an integer

express

0.0346

as a number between 1 and 10

3

46

we now have to move the decimal point 2 places to

the left to retain equality

move to the right

then n is positive

move to the left ←

then n is negative

0.0346

=

3.46

×

10

2

what does coplanar mean?

Answers

Answer:

Step-by-step explanation:

Co-planer

When points are in the same plane it means that the points are co-planer.

Answer:

In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all.

100 points if you get this

Answers

Answer:

....

Step-by-step explanation:

Answer:

I AGREE

Step-by-step explanation:

.−3(4x + 3) + 4(6x + 1) = 43
What is the solution?

Answers

Answer:

  x = 4

Step-by-step explanation:

After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.

  -3(4x +3) +4(6x +1) = 43 . . . . . . given

  -12x -9 +24x +4 = 43 . . . . . eliminate parentheses

  12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)

  12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant

  x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x

The solution is x = 4.

__

Check

  -3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x

  -3(16 +3) +4(24 +1) = 43

  -3(19) +4(25) = 43

  -57 +100 = 43 . . . . . true

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