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3 years ago

7

I need help with this question

1 answer:

AVprozaik [17]3 years ago

5 0

Step-by-step explanation:

Angle formed at the circumference of the circle is half of the angle formed at the center of the same circle.

Hence,

$m\angle ADC = \frac{1}{2} \times m\angle ABC \\ \\ \therefore \: m\angle ADC = \frac{1}{2} \times 40 \degree \\ \\ \therefore \:m\angle ADC = 20 \degree \\ \\$

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Three coins are flipped,what is the Probability of getting one HEAD and two TAILs?

san4es73 [151]

The probability of getting at most 2 tails is 7/8

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3 years ago

Solve the proportion to determine the value of x. <br><br> 2x / 5 = x+3 / 3

ale4655 [162]

When you solve a proportion, your first step should be to cross-multiply.

$\frac{2x}{5}$ = $\frac{x + 3}{3}$

When you cross-multiply, you should get this equation:

(2x)(3) = (x + 3)(5)

Now, solve it using algebra.

(2x)(3) = (x + 3)(5) Multiply
6x = 5x + 15 Subtract 5x from both sides
x = 15

The value of x is 15.

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3 years ago

What is the length of the arc if: 11. r=10 n=20 A15(pi)/ 7 B13(pi)/ 5 C16(pi)/ 2 D11(pi)/ 4 E 10(pi)/ 9 F 9(pi)/ 4 12. r=3 n=6 A

Vilka [71]

Step-by-step explanation:

The formula for arc length [for the angle in degrees] is:

$L = 2\pi r \left(\dfrac{n}{360}\right)$

here,

$n$ = degrees

$r$ = radius

using this we'll solve all the parts:

r = 10, n = 20:

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (10) \left(\dfrac{20}{360}\right)$

from here, it is just simplification:

2 and 360 can be resolved: 360 divided by 2 = 180

$L = \pi (10) \left(\dfrac{20}{180}\right)$

10 and 180 can be resolved: 180 divided by 10 = 18

$L = \pi \left(\dfrac{20}{18}\right)$

finally, both 20 and 18 are multiples of 2 and can be resolved:

$L = \pi \left(\dfrac{10}{9}\right)$

$L = \dfrac{10\pi}{9}$ Option (E)

r=3, n=6:

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (3) \left(\dfrac{6}{360}\right)$

$L = \dfrac{\pi}{10}$ Option (D)

r=4 n=7

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (4) \left(\dfrac{7}{360}\right)$

$L = \dfrac{7\pi}{45}$ Option (C)

r=2 n=x

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (2) \left(\dfrac{x}{360}\right)$

$L = \dfrac{x\pi}{90}$ Option (D)

r=y n=x

$L = 2\pi r \left(\dfrac{n}{360}\right)$

$L = 2\pi (y) \left(\dfrac{x}{360}\right)$

$L = \dfrac{xy\pi}{180}$ Option (E)

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3 years ago

The random variable X is normally distributed.

Nastasia [14]

Answer:

3

Step-by-step explanation:

because it tje best answer on there ferl me

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2 years ago

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Nadusha1986 [10]

Answer: 161.8

Step-by-step explanation:

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2 years ago