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rewona [7]
3 years ago
6

A right regular hexagonal prism has a height of 5 cm. The area of the base is 93.6 square centimeters and the length of one side

of its base is 6 cm. Find the total surface area to the nearest tenth.
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
8 0

Answer:

367.2 cm²

Step-by-step explanation:

First, you need to find the area of the lateral surfaces, since each one is a 5cm by 6cm rectangle, all you need to do is multiply to find the area of one of them, and then multiply by 6 to find the area of all 6 sides.

lateral area = 5cm * 6cm * 6

lateral area = 30cm² * 6

lateral area = 180 cm²

Next, you need to find the total surface area by multiplying the area of the base by two and adding that to the lateral surface area.

SA = 180cm² + 2(93.6cm²)

SA = 180cm² + 187.2cm²

SA = 367.2cm²

The total surface area is 367.2 cm².

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What is the reference angle for 11pi/6? Explain your thinking.
il63 [147K]

First we need to see in which quadrant 11pi/6 lies And it lies in fourth quadrant. And to find the reference angle in the fourth quadrant, we need to subtract the given angle from 2 pi . For e.g if the angle is 5pi/3, then the reference angle is 2pi - (5pi/3) = pi/3 .

So for the given question, reference angle of 11pi/6 is

2 \pi - \frac{11 \pi}{6} = \frac{ \pi}{6}

And that's the required reference angle .

8 0
3 years ago
Find the value of the expression 2ab/c when a = -1, b = -4, and c= 2
motikmotik

Answer:

4

Step-by-step explanation:

Given

\frac{2ab}{c} , substitute the given values into the expression

= \frac{2(-1)(-4)}{2}

= \frac{2(4)}{2}

= \frac{8}{2}

= 4

4 0
3 years ago
Read 2 more answers
For 32 hours of work, you are paid $244.80. How much would you receive for 37 hours?
Serga [27]

Answer:

$283.05

Step-by-step explanation:

first divide $244.80 by 32, to find out how much you are making hourly. in this case you are making $7.65 an hour

next, multiply $7.65 by 5, to add the 5 hours, in this case you get $38.25.

next, add $38.25 to $244.80 and you get your answer!

7 0
3 years ago
Can someone help me with this please?
AVprozaik [17]

Answer:

y=70°

z= 60°

w= 70°

Step-by-step explanation:

Since the two triangles are similar, we know that all of the corresponding angles must be the same.  On the triangle on the left, we can see that the angle formed between sides AB and AC is 60°.  This means that the same angle is formed at Z, which is in the same location on the triangle to the right.  From there, we can find the missing angle, W, from the difference of 180°.

180°-50°-60°=70°.

The same way we found Z, we can also find Y, since it has to be the same as W.

8 0
2 years ago
Solve for x.<br><br> 38(2x+16)−2=13
svetlana [45]
38(2x+16)-2=13
76x+608-2=13
76x+606=13
76x=-593
x=-7.8
6 0
3 years ago
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