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elixir [45]
3 years ago
8

Find the surface area of the following prism.

Mathematics
1 answer:
Alex3 years ago
3 0

Answer:

226 11/20 cm^2.

Step-by-step explanation:

This consists of 2 trapezoids and 4 rectangles.

Area of the 2 trapezoids = 2 * 4 *(6 1/2 + 5 1/4 ) /2

= 47 cm^2.

Area of the 4 rectangles =  4*9 + 6 1/2 * 9 +  4 1/5 * 9 + 9* 5 1/4

=  36 +  117/2 + 189/5 + 189/4

= 3591/20 cm^2

Total surface area = 47 + 3591/20

= 4531/20

= 226 11/20 cm^2.

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max2010maxim [7]
Positive correlation
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2 years ago
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Find the measure of each angle indicated.
OLga [1]

Answer:

51

Step-by-step explanation:

See the other answer

6 0
3 years ago
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The perimeter of a kite is 52 meters. If one side measures 19 meters find the measure of the opposite side.
Setler [38]

For any kite, we have two pairs of congruent adjacent sides. In general, the kite would have sides of x, x, y , y. In this case, x = 19 is known while y is unknown.

The four sides add up to 52, so

x+x+y+y = perimeter

19+19+y+y = 52

38+2y = 52

2y+38-38 = 52-38 .... subtract 38 from both sides

2y = 14

2y/2 = 14/2 ... divide both sides by 2

y = 7

Therefore the opposite side of the 19 meter side is 7 meters

<h3>Answer: B) 7 meters</h3>
3 0
2 years ago
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What is the slope intercept form of the equation 2y+3x=-8
antoniya [11.8K]

Answer:

y=-1.5x-4

Step-by-step explanation:

Slope intercept form is y=mx+b

Bring x over to the other side

2y=-8-3x

divide by 2

y=-4-1.5x

y=-1.5x-4 should be your equation in slope-intercept form

8 0
2 years ago
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Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

(h,k+p)=(6,-4)

On comparing both sides, we get

h=6

k+p=-4                            ...(ii)

Directrix at y=-7. So,

k-p=-7                            ...(iii)

Adding (ii) and (iii), we get

2k=-11

k=\dfrac{-11}{2}

k=-5.5

Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

y=\dfrac{1}{6}(x-6)^2-5.5

Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

4 0
2 years ago
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