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Morgarella [4.7K]
3 years ago
8

Can someone help me #11 PLEASE SHOW YOUR WORK

Mathematics
1 answer:
damaskus [11]3 years ago
5 0
Since the triangle is equilateral, QR = RS = QS.
a. MS = (1/2)74
    MS = 37
b. Half of the equilateral triangle makes a right triangle. Use Pythagorean Theorem to find QM. 
a^2 + b^2 = c^2
37^2 + b^2 = 74^2
1369 + b^2 = 5476
subtract 1369 from both sides
b^2 = 4107
take the square root if both sides
b = 64.1
QM = 64.1
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Ruth has 7 more brown pencils than blue pencils, and 11 more blue pencils than red pencils. She has 5 red pencils. How many brow
olya-2409 [2.1K]

Answer: There are 5 red pencils, 16 blue pencils and 23 brown pencils.

Step-by-step explanation:

Since we have given that

Number of red pencils = 5

Number of blue pencils are 11 more than red pencils.

So, Number of blue pencils would be

11+5=16

Number of brown pencils are 7 more than blue pencils.

So, number of brown pencils would be

16+7=23

Hence, there are 5 red pencils, 16 blue pencils and 23 brown pencils.

8 0
3 years ago
This is a value next to a variable what is it called
Mama L [17]

Answer:

coefficient

Step-by-step explanation:

8 0
3 years ago
Laura is baking a cake. The recipe says that she has to mix 64 grams of chocolate powder to the flour. Laura knows that 1 cup of
pickupchik [31]
The answer is <span>She went over by one over six of a cup
</span>
<span>1 cup of that particular chocolate powder has a mass of 128 grams: 1c = 128g

</span><span>64 grams of chocolate powder is x cups.
1c = 128g
x = 64g

1c : 128 g = x : 64g
x = </span>1c : 128 g * 64 g
x = 0.5 c
64 grams of chocolate powder is 0.5 cups = 1/2 cups

<span>She added two over three of a cup of chocolate powder: 2/3 cups

She need to add 1/2 cups: 1/2 = 3/6 cups
She added 2/3 cups: 2/3 = 4/6 cups

So she added 4/6 - 3/6 = 1/6 cups more.
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3 years ago
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A cylinder is filled with 900 liters of water.find the area of its base if height of cylinder is 20dm.
Lisa [10]
The formula of the volume of a cylinder:

V=\pi r^2H\\\\where:\\\\r-a\ radius\\H-a\ height\\\pi r^2-an\ area\ of\ base

We have:

V=900\ liters\\1L=1dm^3\ therefore\ V=900L=900dm^3

and

H=20\ dm

substitute:

\pi r^2\cdot20=900\ \ \ |:20\\\\\pi r^2=45\ dm^2

Answer: The area of a base of the cylinder is equal 45 dm².
5 0
3 years ago
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