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dexar [7]
3 years ago
10

Which of the following is the product of 7/8 and -4/21?  a.- 1/6 b.1/12 c.- 16/21 d.- 147/32​

Mathematics
2 answers:
olga55 [171]3 years ago
6 0

Answer:

option a

Step-by-step explanation:

7/8 * -4/21

=7*-4/8*21

=-28/168

=-1/6

In maths product means multiplication.

AURORKA [14]3 years ago
5 0

Answer:

A. -1/6

Step-by-step explanation:

  • 7/8 × -4/21
  • 7 can be divided by 21 wich will make the fraction -4/21 turn to -4/3 and the fraction 7/8 turn to 1/8
  • -4 can be divided by eight which will make the fraction 1/8 turn to 1/2 and the fraction -4/3 will turn to -1/3
  • 1/2 × -1/3 = -1/6
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The distance of ship B from the Harbor is 32.26 miles

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Equations.

I have added a visual aid of the problem. As we can see the courses of both ship to the harbor forms a triangle with ship B being the hypotenuse. Since we are given the distance of the course for ship A and the angle between both ships, we can use this information with the <u>COSINE operator</u> to solve for the length of the course of ship B.

cos(x) = \frac{adjacent}{hypotenuse}

cos(47) = \frac{22miles}{hypotenuse} .... flip both fractions.

\frac{1}{cos(47)} = \frac{hypotenuse}{22miles} .... multiply both sides by 22

\frac{22mi}{cos(47)} = hypotenuse

32.26mi = hypotenuse = B

So the distance of ship B from the Harbor is 32.26 miles

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3 0
3 years ago
Which phrase describes the variable expression z+ 8?
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  A. z increased by 8

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Which line is perpendicular to the line y=-1/3x-2 and passes through point (1,4)
xxMikexx [17]

Answer:

Option 3)  y = 3x+1

Step-by-step explanation:

<u><em>Given equation is:</em></u>

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So the  ⊥ line has a slope = m =  3

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Point = (x,y) = (1,4)

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<u><em>Putting this in slope intercept form to get b</em></u>

=> y = mx+b

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3 years ago
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Using the sum of the angle measures of a triangle, m angleC=?
Vedmedyk [2.9K]

Answer:

m∠C = 66°

Step-by-step explanation:

Given

m∠ A = 33°

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