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garri49 [273]
3 years ago
10

What is the surface area of this design?

Mathematics
1 answer:
Alja [10]3 years ago
5 0

Answer:

197

Step-by-step explanation:

5 \times 5 \times 2 + 5 \times (5 + 9) \times  \frac{1}{2}  \times 2 + 5 \times 9 + 5 \times 6.4 = 197

You might be interested in
The length of a rectangle is five times its width.
Vera_Pavlovna [14]

Answer:

72

Step-by-step explanation:

l = 5w

A = l*w

180 = 5w *w

180 = 5w^2

Divide each side by 5

180/5 = 5w^2 /5

36 = w^2

Taking the square root of each side

sqrt(36) = sqrt(w)^2

6 =w

l = 5w = 5*6 = 30

The perimeter is

P = 2(l+w)

P = 2(6+30) = 2(36) = 72

4 0
3 years ago
What is the mode of the following numbers?<br> 9,10,6,5,6
Llana [10]

Answer:

6

Step-by-step explanation:

The mode is the number which appears most often in a set of numbers in this case that would be 6 because it appears twice

3 0
3 years ago
If a spring is oscillating (moving) according to the velocity equation v(t) = 2sin(t) (in ft/s), then what is its displacement o
Feliz [49]

ANSWER

4 ft

EXPLANATION

The velocity equation of the oscillating spring is given by the function.

v(t)=2  \sin(t)   \:  \:  {ms}^{ - 1}

To find the displacement function, we need to to Integrate the velocity function.

s(t) = \int \: 2 \sin(t) dt

s(t) =  -  2 \cos(t)  + k

At time t=0, there was no displacement.

This implies that,

s(0) = 0

0=  -  2 \cos(0)  + k

0=  -  2 + k

k = 2

The displacement function then becomes,

s(t) =  -  2 \cos(t)  + 2

To find the displacement over the first π seconds, we put

t = \pi

into the equation for the displacement to get,

s(\pi) =  -  2 \cos(\pi)  + 2

s(\pi) =  -  2 ( - 1)  + 2

s(\pi) =  2  + 2 =4 ft

7 0
3 years ago
Which of the following can be the side lengths of a triangle?
kogti [31]
<span>In a triangle the sum of two sides is always greater than the third side.

</span><span>A:12,9,21
</span><span>12+9 = 21
21 = 21  </span>⇒  no

<span>B:7,6,12
</span>7+6 = 13
13 > 12  ⇒  yes

<span>C:3,8,14
</span>3+8 = 11
11 < 14  ⇒  no

<span>D:23,13,37
</span>23+13= 36
36 < 37  ⇒  no

Answer: <span>B:7,6,12</span>
7 0
3 years ago
Find <br><br>dr/ds if r = s³/2 +1<br>​
DIA [1.3K]

Answer:

hniuhbyutrdewsdrtfvbgyi

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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