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

_______ 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

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

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:

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.

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!

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.

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

.−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

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

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.

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.

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:

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]

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.

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

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

simplify 12b+4b^2-10b

Answers

Answer:

4 b 2 + 2 b

Step-by-step explanation:   hope it helps

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).

Solve for j.

j − –95 = 822

j =

Answers

Answer:

j = 727

Step-by-step explanation:

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

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

Answers

Answer:

18

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

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

Answers

The answer is:

Slope: -3/4

Y-intercept: (0, 9/4)

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

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.

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

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

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.

100 points if you get this

Answers

Answer:

....

Step-by-step explanation:

Answer:

I AGREE

Step-by-step explanation:

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