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Tcecarenko [31]
3 years ago
5

FOR 90 POINTS PLEASE HELP

Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:

Question 1: RS=47

Question 2: x=6

Step-by-step explanation:

Question 1:

Step 1: 3x+5=2x+15+6x-37

Step 2: 3x+5=8x-22/2

Step 3: 3x+5=4x-11

Step 4: x=16

Step 5: 2(16)+15=32+15=47

<u>RS= 47</u>

<u />

Question 2:

Step 1: 7x+2+25x-14=180

Step 2: 32x-12=180

Step 3: 32x=192  (divide 32 from each side)

<u>x=6</u>

<u />

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Find the length of GI in the triangle below. Show your work.
love history [14]

Answer:

<u>The length of GI is 90.06 units</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

GH = 60 units

HI = 42 units

∠H = 123°

2. Using the Law of Cosines, we can find the length of GI, this way:

GI² = GH² + HI² - 2 * GH * HI * cos ∠H

Replacing with the real values:

GI² = 60² + 42² - 2 * 60 * 42 * cos ∠123°

GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545

GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545

GI² = 3,600 + 1,764 + 2,746.8

GI² = 8,110.8

<u>GI = √ 8,110.8 = 90.06 units</u>

4 0
3 years ago
Read 2 more answers
Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth.
Zigmanuir [339]
The mean is the average.
So, to find the mean you want o add up all of the numbers and then divide by the number of numbers.

49 + 49 + 54 + 55 + 52 + 49 + 575 = 363
363 / 7 = 51.85
Rounded to 52

For the median you want o line all of your number up from least to greatest and then find the middle number.

49,49,49,52,54,55,55

Your median is 52

The mode is the number that is listed most often

49 is listed 3 times
54 is listed 1 time
52 is listed 1 time
55 is listed 2 times

So, your mode is 49




4 0
3 years ago
What is the value of y in the equation 2 + y = −3?
SOVA2 [1]

I believe that y is equal to -5.

y=-5

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2 years ago
Which expression represents the volume of the pyramid? One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3 One-th
anyanavicka [17]

Answer:

1/3(5.2)h cm³

Step-by-step explanation:

A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm. Which expression represents the volume of the pyramid?

One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3

One-third(5.2)h cm3 StartFraction 1 Over 3 h EndFraction(5.2)h cm3

Volume of the pyramid = 1/3 × area × height

Area = 5.2 cm²

Height = h cm

Volume of the pyramid = 1/3 × 5.2 cm² × h cm

= 1/3(5.2)h cm³

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2 years ago
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Justin made 184 for 8 hours of work. At the same rate, how many hours would he have to work to make 115?
Kisachek [45]

Answer:

8/184

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5

Step-by-step explanation:

5

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3 years ago
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