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alukav5142 [94]
3 years ago
10

1. What is the area of a circle with a diameter of 3.4 cm? Round your answer to the nearest tenth. (use 3.14 for pi)

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0
1. The area of a circle is
a = \pi {r}^{2}
\pi = 3.14 \\ r =  \frac{3.4}{2}  = 1.7
a = (3.14) {(1.7)}^{2}  \\  = 9.0746
The area is 9.07 cm^2.

2. The volume of a cube is
v =  {s}^{3}
s = 4.5
v =  {(4.5)}^{3}  \\  = 91.125
The volume is 91.125 m^3
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A random two digit number (10-99) is drawn. Find P(odd number)
Mars2501 [29]

Answer:

P(odd number) = 0.5

Step-by-step explanation:

There are 90 members in the set (10, 11, 12, .. , 97, 98, 99)

When we have an even number of consecutive numbers, the number of even numbers equals the number of odd numbers. This means that half of the numbers in this set are even and half of them are odd.

So the probability of P(odd number) = 0.5

8 0
3 years ago
A pole, 4m high, stands, vertically, on
Lostsunrise [7]

Answer:

Length of the shadow of the pole is 6.93 metres

Step-by-step explanation:

Given:

Height of the pole = 4 m

The angle sun makes with the horizontal = 30 degrees

To Find:

Length of the shadow of the pole = ?

Solution:

The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta

Let x be the length of the shadow

According to the tangent ratio

tan {\theta} = \frac{opposite}{adjacent}

On substituting the values,

ta( {30^{o}) = \frac{4}{x}

x  = \frac{4}{tan ({30^{o})}}

x =\frac{4}{0.57735027}

x  = 6.93 m

6 0
3 years ago
What're all the numbers divisible by 2 and 6?
Pani-rosa [81]
The possibilities are endless

If we're talking between 1-20

then the numbers divisible by 2 and 6 are

18,12,6
3 0
3 years ago
Read 2 more answers
 If the trapezoid below is reflected across the x-axis, what are the coordinates of B'?
Grace [21]
The x-coordinate remains the same as the x-coordinate of point B.
The y-coordinate becomes the additive inverse of the y-coordinate of point B.

Answer: B. (3, -8)

9 0
2 years ago
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Find the exact value by using a half-angle identity.<br><br> tan seven pi divided by eight
murzikaleks [220]

9514 1404 393

Answer:

  1 -√2

Step-by-step explanation:

  \tan(x/2)=\dfrac{1-\cos(x)}{\sin(x)}\\\\\tan\left(\dfrac{1}{2}\cdot\dfrac{7\pi}{4}\right)=\dfrac{1-\cos\dfrac{7\pi}{4}}{\sin\dfrac{7\pi}{4}}=\dfrac{1-\dfrac{1}{\sqrt{2}}}{-\dfrac{1}{\sqrt{2}}}=\boxed{1-\sqrt{2}}

tan(7π/8) = 1 -√2

7 0
2 years ago
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