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Andrei [34K]
3 years ago
12

I need help with number 5

Mathematics
1 answer:
Sergio [31]3 years ago
8 0

Answer:

  C)  27.8 m

Step-by-step explanation:

The law of cosines applies.

  c^2 = a^2 + b^2 - 2ab·cos(C)

  c^2 = 18^2 + 17^2 -2·18·17·cos(105°) . . . . fill in the given dimensions

  c^2 ≈ 771.3973

  c ≈ √771.3973 ≈ 27.8 . . . . meters

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The formula for this   ( horizontal circular orbit with the origin at the center)  is
   L = mvr

5 0
3 years ago
You need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture. How much
ozzi

Answer:

A. 605 mL of the 35% solution

B. 55 mL of the 95% solution

Step-by-step explanation:

It is given that, you need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture.

Let x and y be the amount of 35% alcohol solution and 95% alcohol solution (in mL) respectively.

So,

Amount equation: x+y=660        ...(1)

Alcohol equation : 0.35x+0.95y=0.40(660)\Rightarrow 0.35x+0.95y=264     ...(2)

On solving (1) and (2), we get

0.35(660-y)+0.95y=264

231-0.35y+0.95y=264

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y=\dfrac{33}{0.6}

y=55

Now, substitute y=55 in (1).

x+55=660  

x=660-55  

x=605  

Therefore, we need 605 mL of the 35% solution  and 55 mL of the 95% solution.

4 0
3 years ago
Round 2.794 to the tenths place
viva [34]
2.8

The tenths place is right after the decimal, so when we round 2.794 to the nearest tenths place, we get 2.8

Hope this helps! Have a good day :)
8 0
3 years ago
The base of a pyramid has n sides write an expression for the number of faces of the pyramid
kumpel [21]
A pyramid always have a number of slant triangles equal to the number of the sides of the base.

This means that a pyramid always have the number of face which is one more than the number of sides of the base.

Therefore, given that a pyramid has n number of sides of the base, the expression for the number of faces of the pyramid is given by

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6 0
4 years ago
What are the coordinates of the pre image of B
garik1379 [7]

Answer:

Point B = (-8 , -2) ⇒ the second answer

Step-by-step explanation:

∵ The figure ABCD is reflected across the x-axis

∴ The sign of y-coordinates of each point will change

Ex: If the point (x , y) reflected across the x-axis

     its image will be (x , -y)

∵ B' = (-8 , 2)

∴ B = (-8 , -2) ⇒ the second answer

3 0
3 years ago
Read 2 more answers
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