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KIM [24]
3 years ago
12

What is the area of the trapezoid below?

Mathematics
2 answers:
Arisa [49]3 years ago
4 0

Answer is:

36 square root of 3 c m squared

TEA [102]3 years ago
3 0
The answer is A. 36\sqrt{3} cm^{2}
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The sum of three numbers is 102. The first number is 6 more than the second. The third number is 4 times the second. What are th
const2013 [10]

Answer:

1st number: 22

2nd number: 16

3rd number: 64

Step-by-step explanation:

x + y + z = 102

x = 6 + y

z = 4y

plug that in!

(6 + y) + y + (4y) = 102

get rid of the parenthesis (I added them so you could see what I was replacing) and add like terms.

6 + 6y = 102

move 6 to the other side.

6y = 96

y = 16

now that you know one number, you can solve the equations for the rest!

x = 6 + (16)

z = 4(16)

__________________________________________________________

x = 22

y = 16

z = 64

6 0
2 years ago
Solve for x: 7x = 63
elena55 [62]

Answer:

x = 9

Step-by-step explanation:

7x = 63

Divide each side by 7 to isolate x

7x/7 = 63/7

x = 9

4 0
3 years ago
Read 2 more answers
Write the equation of a line in slope intercept form that is perpendicular to the line y = –4x and passes through the point (2,
Gnesinka [82]

1. If the line that we are searching for is perpendicular to the line y = -4x, this means that the gradient of our line and the gradient of the perpendicular line will multiply to give -1. Thus if we call the gradient of our line m, then:

m*(-4) = -1

-4m = -1

m = 1/4

2. Since we know that m = 1/4 and we have a point (2,6) on our line, we can use the formula y - y1 = m(x - x1) to find the equation of our line, where (x1, y1) is the coordinates of a point on the line. Thus:

y - y1 = m(x - x1)

y - 6 = (1/4)(x - 2)

y - 6 = (1/4)x - 2/4 (Expand (1/4)(x - 2))

y = (1/4)x - 1/2 + 6 (Simplify 2/4 and add 6 to each side)

y = (1/4)x + 11/2 (Evaluate -1/2 + 6)

Slope-intercept form is given by y = mx + c. As our equation is already in this form, there is nothing more to do. Thus, the answer is y = (1/4)x + 11/2

6 0
3 years ago
My brain is gone for the day, so what comes first when finding points on a graph, vertical, or horizontal?
exis [7]
Just remember it's along the corridor and up the stairs so horizontal comes first
8 0
3 years ago
What is sin(4a) & cos(4a) if tan(a)=3
ratelena [41]

Answer:

  • sin(4a) = -24/25
  • cos(4a) = 7/25

Step-by-step explanation:

Your calculator can tell you these values:

  sin(4a) = sin(4·arctan(3)) = -0.96 = -24/25

  cos(4a) = cos(4·arctan(3)) = 0.28 = 7/25

_____

Some useful trig identities are ...

  sin(2a) = 2tan(a)/(1 +tan(a)^2)

  cos(2a) = (1 -tan(a)^2)/(1 +tan(a)^2)

Filling in the given value for tan(a), we find ...

  sin(2a) = 2(3)/(1+3^2) = 6/10 = 3/5

  cos(2a) = (1 -3^2)/(1 +3^2) = -8/10 = -4/5

Now, double-angle formulas are useful:

  sin(4a) = 2sin(2a)cos(2a) = 2(3/5)(-4/5) = -24/25

  cos(4a) = 1 -2sin(2a)^2 = 1 -2(3/5)^2 = 7/25

The desired trig function values are sin(4a) = -24/25; cos(4a) = 7/25.

6 0
3 years ago
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