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Westkost [7]
2 years ago
8

Clarissa (the surveyor from our book) is at home and needs to figure out how tall her wall is in order to replace one of the lig

hts. She places the mirror on the ground 27 feet from the wall. Clarissa is 9 feet from the mirror, and Clarissa's eyes are 6 feet from the ground. ​
Mathematics
1 answer:
Archy [21]2 years ago
8 0

Answer:

The height of the wall is 18 ft.

Step-by-step explanation:

I have taken a look at the question, and will label the diagram accordingly. Check the attachment.

We are asked to calculate the height of the wall. Well, the incidence ray is equal to the reflected ray, so therefore by AA we have similar triangles. Setting up a proportion to determine the height of the wall:

9/6 = 27/x [where x = height of the wall]

x = 27*6/9 = 18 ft.

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$13:50 to 6 pounds what the ratio
AleksAgata [21]

Answer:

$2.25: 1 pound

Step-by-step explanation:

13.50 divided by 6= 2.25

6 divided by 6= 1

5 0
3 years ago
Zachary invested $130 in an account paying an interest rate of 3.6% compounded daily. Assuming no deposits or withdrawals are ma
TiliK225 [7]

Answer:

$193

Step-by-step explanation:

8 0
2 years ago
I need help with this problemmm, someone help mee!!.
Varvara68 [4.7K]

Answer:

∠A=30°

Step-by-step explanation:

let's call the angle at the bottom B and the one next to the 130 C

∠A=3x-6

∠C=180-130= 50°

vertical angles are equal∠B =8x+4

∠A+∠C+∠B=180°

find x:

3x-6+50+8x+4= 180°

11x+48=180°

11x= 132

x=12

find ∠A

∠A=3x-6= 3(12)-6 =30°

5 0
3 years ago
The sum of the dibits of a two digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9
QveST [7]

Answer:

  78

Step-by-step explanation:

Interchanging the digits of a 2-digit number changes the value by a multiple of 9. The multiple is the difference between the digits of the number.

So, we have two digits that add to 15, and have a difference of 9/9 = 1. Since you're familiar with your addition facts, you know that the two digits are 7 and 8. Since the number we're looking for is the smallest of the numbers you can make with those digits, ...

  the original number is 78.

_____

More formally, let t and o represent the tens and ones digits of the original number.

  t + o = 15 . . . . . . the sum of digits is 15

  (10o +t) - (10t +o) = 9 . . . . swapping digits increases the value by 9

The latter equation simplifies to ...

  9o -9t = 9 . . . . collect terms

  o - t = 1 . . . . . . divide by 9 . . . (note the difference of digits is 9/9=1)

Adding this to the first equation gives ...

  (t +o) +(o -t) = (15) +(1)

  2o = 16

  o = 8

  t = o -1 = 7

The tens digit is 7 and the ones digit is 8: 78.

3 0
2 years ago
The mpg (miles per gallon for a certain compact car is normally distributed with a mean of 31 and a standard deviation of 0.8. w
lesantik [10]
For this Q:

mean=31
st.dev.=0.8
x=32

Calculate z-score:
z=(x-m)/s = (32-31)/0.8=1.25

This z-score value corresponding to the probability of 0.8944

<span />
6 0
2 years ago
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