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Standing side by side, a woman casts a 41.4-inch shadow and her 40-inch-tall son casts a 24-inch shadow. What is the height of the woman to the nearest inch?

Answers

Answer 1

Answer:

25 inches

Step-by-step explanation:

Given

Son:

[tex]Height = 40\ inch[/tex]

[tex]Shadow = 24\ inch[/tex]

Woman:

[tex]Height = 41.4\ inch[/tex]

Required

Determine the height of the woman's shadow

From the question, the height is directly proportional to the height of the shadow:

So, we have:

[tex]40\ inch = 24\ inch[/tex] --- For the son

and

[tex]41.4\ inch = x[/tex]

Where x represents the shadow of the woman

Cross Multiply:

[tex]x * 40 = 24 * 41.4[/tex]

[tex]x * 40 = 993.6[/tex]

[tex]40x = 993.6[/tex]

Make x the subject

[tex]x = 993.6/40[/tex]

[tex]x = 24.84[/tex]

[tex]x = 25[/tex] ---- approximated

Hence, the woman's shadow is 25 inches tall


Related Questions

How far will 25 N of force stretch a spring with a spring with a spring constant of 125 N/m?​

Answers

Answer:

-0.656168ft

Step-by-step explanation:

If Spring force constant (k)  is 125  N/m

And the force is (F) 25 N ,

then the spring displacement (Δx) -0.656168

Equation used:

Knowing Hooke's law, we can write it down it the form of a formula:

F = -kΔx

F is the spring force (in N);

k is the spring constant (in N/m); and

Δx is the displacement (positive for elongation and negative for compression, in m).

Given: AB=BC, D is the midpoint of AB, and E is the midpoint BC. Prove: AD=BE

Answers

Answer:

Using mid point theorem, A line segment joining the mid points of the two sides of the triangle, is equal to half the length of the third side.

D and E are the mid points. Hence,

DE=

2

1

AC

DE=

2

1

(6.4)

DE=3.2cm

Answer:

AD=BE

Step-by-step explanation:

Because AB and BC are equal, their lengths are also equal and also it is an Isosceles triangle. Therefore the midpoint of AB or the half of AB which is either AD or DE are equal. Vice versa for BC. So AD=BE

What is the slope of this line?
Answer:
-1/5
1/5
5
-5

Answers

The answer is going to be 1/5, rise 1 and go to the right 5 times so it’s 1/5

A quality control group found 7 defects for every 1250 units produced. If 8750 products were produced how many defects were there?

Answers

49 defects hope this helps :)

(PLEASE HELP ASAP!!!)Micheal has five different stocks that he watches on a daily basis. The table shows the change in each stock price in dollars at the end of a trading day.

What is the correct order of the rational numbers in the table from least to greatest?

A) -1.5, 2.9, -1/2, 3 3/4, 4.6

B) -1/2, -1.5, 2.9, 3 3/4, 4.6

C) -1.5, -1/2, 2.9, 3 3/4, 4.6

D) 4.6, 3 3/4, 2.9, -1/2, -1.5

Answers

Answer:

C

Step-by-step explanation:

In​ 2010, the population of some countries was 1,200,000 people. From 2010 to​ 2050, the population is expected to increase by ​50%. Find the expected population of the country in 2050.

The population of the country in 2050 is expected to be ______people. ​(Simplify your​ answer.)

Answers

Answer:

7,200,000

Step-by-step explanation:

A car drives 120 miles in 2 hours Find the speed

Answers

Answer:

60 miles per hour

Step-by-step explanation:

Divide 120 miles by 2 hours and you get 60 miles per hour.

Answer:

60 mph

Step-by-step explanation:

120/2=60

If the car drives 120 miles in 2 hours, divide 120 by 2 to get the unit rate

What is the volume of the prism below?

A. 150 cubic units
B. 300 cubic units
C. 55 cubic units
D. 1,500 cubic units

Answers

Answer:

the answer is B.300.Don't forget to mark brainliest

Answer:

a

Step-by-step explanation:

12345678912345678991-12345678912345678912

Answers

The answer is 0 lol

If m ACD=100 degree,then m ECB=[?]

Answers

Answer:

100

Step-by-step explanation:

They are the same.

Hope I helped!

Answer:

100°

Step-by-step explanation:

ACD=ECB=100°

[Vertical opposite angles are equal]

I WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER

Answers

Answer:

5.7 m/s

Step-by-step explanation:

Approximate rate of change:

(25.1 - 2.3)/(4 - 0) =22.8/4 = 5.7 m/s

50 POINTS!!!


Please I need fast and correct answer. I will award best answer with brainliest!!!

Answers

Answer:

[tex]measure angle 1 = 62 ------> given\\measure angle 4 = 62 --------> vertical angle theorem[/tex]

Step-by-step explanation:

vertical angle theorem states that the angle vertical from another angle has to be congruent

p.s. i found it

Harold cut 18 1/2 inches off a rope that was 60 inches long.

Answers

Answer:

41.5?

Step-by-step explanation:

is that it to the question or is there more?!?!

Answer:

0.42

Step-by-step explanation:

60-18= 42

42/100=0.42

(Hope this helped! :D)



Kevin is 150.5 centimeters tall. His older brother, Darrell is 1.2 times as tall as him.
How tall is Darrell? *

A) 125.42 centimeters
B)170.57 centimeters
C) 180.6 centimeters
D) 251.5 centimeters

Answers

You just have to multiply 150.5 times 1.2 and you get 180.6

The temperature of a cup of coffee changed by -54 Fahrenheit over 22 and 1/2 minutes. What was the change in temperature each minute?

Answers

Answer:

-2 2/5 F per minute

Step-by-step explanation:

Temperature change:

- 54 F over 22 1/2 min

Change in 1 minute:

-54 / 22 1/2 = -54 / (45/2) =-54*2 / 45 =-108 / 45 =-2 18 / 45 =-2 2/5 F/min

Eve and Carrie go bowling, Carrie scores 23 more
points than Eve. Their score is 247 points. How mang
Points does each friend score?

Answers

Carrie has 135
Eve has 112

I just need help with this please.

Answers

Answer:

-5/2 is located on the left of -1

Step-by-step explanation:

How to tell if your table is linear or exponential?

Answers

Answer: If the first difference is the same value, the model will be linear. If the second difference is the same value, the model will be quadratic. If the number of times the difference has been taken before finding repeated values exceeds five, the model may be exponential or some other special equation.

Step-by-step explanation: You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference. This table is linear.

9 × [(21 − 4) − 9 what is the answer when you find out pls let me know!!!

Answers

Answer:

72 is the answer

21-4 IS 17, AND 17 - 9 IS 8, THEN 9X8 IS 72.

Need help asap! Complete the table below.

Answers

Answer:

Step-by-step explanation:

if the speed is 6 bracelets per hour then the table will go like this

2   12

5  30

7  42

11  66

16 and 2/3  hours is 100 bracelets

help, brainliest to whoever answers

Answers

Answer: 45
Plug in 150 for s in the equation and solve
The answer is $45

150(.50)-30= 45

Hope this helps :)

The price of a notebook has Risen to $9.61today. Yesterday’s price was $9.72 Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Answer: 1.1%

Step-by-step explanation:

$9.72 - $9.61 = .11

.11/9.60 = 0.01145833 x 100 = 1.1458333 round to the nearest tenth = 1.1%

1.3 percent is the answer

i need help with these 9 questions they’re pretty simple

Answers

Answer:

1. n = 4

2. n = -29

3. n = -28

4. n = -48

5. n = -22

6. n = 97

7. n = 220

8. n = -18

9. n = 36

Step-by-step explanation:

1. -n = -4

Multiply both by -1 to get n = 4

2. 12 + n = -17

Subtract 12 from both sides of the equation to get n = -29

3. -n/14 = 2

Multiply by 14 on both sides of the equation to get -n = 28

Multiply -1 on both sides of the equation to get n = -28

4. -42 = n + 6

Subtract 6 from both sides of the equation to get -48 = n or n = -48

5. -4n = 88

Divide -4 on both sides of the equation to get n = -22

6. n + -3 = 94

Add 3 to both sides of the equation to get n = 97

7. 11 = -n/-20

Multiply by -20 on both sides of the equation to get -220 = -n or -n = -220

Multiply -1 on both sides of the equation to get n = 220

8. -108 = 6n

Divide by 6 on both sides of the equation to get -18 = n or n = -28

9. 67 = 31 + n

Subtract 31 from both sides of the equation to get 36 = n or n = 36

I Hope That This Helps! :)

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-4(7/10)
The product is:

Answers

Answer:

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Step-by-step explanation:

hope that helps

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Answers

Answer:

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Step-by-step explanation:

Answer:

the answer is 3


Raina, Alan, and Kareem have a total of $85 in their wallets. Kareem has $9 less than Raina. Alan has 2 times what Kareem has. How
much do they have in their wallets?
Amount in Raina's wallet
$
Amount in Alan's wallet:
$
Amount in Kareem's wallet:
$

Answers

Answer:

17,  51,  24.

Step-by-step explanation:

i cant type it rn but i will put it in comments later :D hope this helped!

2 1/7 divided by 1 2/5

Answers

The answer to the problem would be 5/7. Hope this helps.

HELP NOW PLEASE ITS EASY

Answers

Answer:

B, B, A, A, B, B

Step-by-step explanation:

i think this is the correct answer! lmk if its good! :)

A local charity is making fruit baskets for elderly citizensbin the neighborhood. Each badket have 15:pieces of fruit. They brought 1,620 pieces of fruit total. Without completing the division, choose Yes or No for each statements

Answer
They can make at least 1,000 baskets
They can make at least 10 baskets

Answers

Answer:

Yes, no, no

Step-by-step explanation:

Answer:10 baskets yes

100 baskets yes

1000 baskets no

Step-by-step explanation:


Evaluate the expression
b(a + c)
when a= = -3, b= -4, and c= 2

Answers

Step-by-step explanation:

b(a + c)

=-4(-3+2)

=12-8

=4

Answer:4

Step-by-step explanation:

Steps a (-3) add c (2) is -1

Then you have to times -1 by -4 which is 4 :D

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