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Nata [24]
3 years ago
14

ASAP WILL GIVE BRAINIEST TO FIRST PERSON TO ANSWER

Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0

Answer:

∠B = 22°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, hence

120 + x + x + 16 = 180

2x + 136 = 180 ( subtract 136 from both sides )

2x = 44 ( divide both sides by 2 )

x = 22 = ∠B


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What does 9/5 + 14/12 equal
fenix001 [56]

Answer:

53/50

Step-by-step explanation:

9/15 + 14/12

Simplify.

9/15 + 7/6

Make denominators equal.

54/90 + 105/90

Add fractions since denominators are equal.

159/90

Simplify.

= 53/50

7 0
3 years ago
27. Find a polar equation of the conic with focus at the pole that has the given eccentricity and equation of directrix.
ololo11 [35]

The polar equation will be  r=\dfrac{4}{1+cos\theta}

<h3> What is the polar equation?</h3>

A polar equation is any equation that expresses the relationship between r and theta, where r is the distance between the pole (origin) and a point on a curve, and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive x-axis.

From the equation, we are told that

The  Eccentricity: e = 1

The  Directrix is   y = 4

Generally, the polar equation for e =  1  and y  =  + c is mathematically represented as

r =\dfrac{e\times c}{1+ecos\theta}

r =\dfrac{1\times 4}{1+1\times cos\theta}  

 r=\dfrac{4}{1+cos\theta}

 

Therefore the polar equation will be  r=\dfrac{4}{1+cos\theta}

To know more about the polar equation follow

brainly.com/question/9363127

#SPJ1

4 0
2 years ago
Evaluate 8+(-25)+16-(-25)-16
o-na [289]

Answer:

The answer is 8 hope this helps

6 0
3 years ago
Read 2 more answers
A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equat
jolli1 [7]

Answer:

  • 7000 type A
  • 6000 type B

Step-by-step explanation:

We assume your equations are intended to be ...

C(x,y)=x^2-2xy+9y^2+3x-87y-6\\R(x,y)=5x+7y

Then the profit equation is ...

P(x,y)=R(x,y)-C(x,y)=5x+7y-x^2+2xy-9y^2-3x+87y+6\\=-x^2+2xy-9y^2+2x+94y+6

The partial derivatives of profit with respect to x and y are zero when profit is maximized.

  ∂P/∂x = 0 = -2x +2y +2

  ∂P/∂y = 0 = 2x -18y +94

Simplifying, these equations are ...

  • y = x -1
  • x -9y = -47

Substituting the first into the second gives ...

  x -9(x -1) = -47

  -8x = -56

  x = 7

  y = 7 -1 = 6

The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.

5 0
4 years ago
The blue shape is a dilation of the black shape. What is the scale factor of the dilation?
antiseptic1488 [7]

Answer:

x and y values are doubled; scale factor is 2

Step-by-step explanation:

(4,5) becomes (8,10)

(2,5) becomes (4,10)

(1,4) becomes (2,8)

8 0
3 years ago
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