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denis-greek [22]

3 years ago

9

Use 3.14 for the radius to estimate the area of a circle the diameter is given round your answer to the nearest hundredth if nec

essary.

1 answer:

Dafna11 [192]3 years ago

7 0

R = 24.4 / 2 = 12.2

A = 3.14 (12.2)^2
A = 3.14 (148.84)
A = 467. 36

hope it helps

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Which answer choice is equivalent to the expression below?

Bess [88]

Answer:

the answer would be -13n-23

Step-by-step explanation:

first you want to distribute the brackets

-7(2+n) = -14-7n

+(-9-6n)

-9-6n

-14-7n-9-6n

combine the n value with an n value and an integer that doesn't have an n value

-7n-6n-14-9

= -13n-23

8 0

3 years ago

Round your answer to the nearest tenth.

Kruka [31]

Answer:

The value of MB = 8.4

Step-by-step explanation:

We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.

Thus,

For the given triangle ΔJKL,

The point M is the centroid of the triangle.

We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.

In our case,

The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.

i.e.

KM = 2 MB

Given KM = 16.8

so substitute KM = 16.8 in the equation KM = 2 MB

16.8 = 2 MB

MB = 16.8/2

MB = 8.4

Therefore, the value of MB = 8.4

7 0

3 years ago

Read 2 more answers

What are the roots to<br> the equation<br> 2x² + 6x-1=0?

lys-0071 [83]

Answer:

The roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Step-by-step explanation:

The given quadratic equation is 2 x² + 6 x - 1 = 0

This equation is in form of a x² + b x + c = 0

Let the roots of the equation are ( m , n )

Now , sum of roots = $\frac{ - b}{a}$

And products of roots = $\frac{c}{a}$

So, m + n = $\frac{ - 6}{2}$ = - 3

And m × n = $\frac{ - 1}{2}$

Or, (m - n)² = (m + n)² - 4mn

Or, (m - n)² = (-3)² - 4 ( $\frac{ - 1}{2}$ )

Or, (m - n)² = 9 + 2 = 11

I.e m - n = $\sqrt{11}$

Again m + n = - 3 And m - n = $\sqrt{11}$

Solving this two equation

(m + n) + ( m - n) = - 3 + $\sqrt{11}$

I.e 2 m = - 3 + $\sqrt{11}$

Or, m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$

Similarly n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Hence the roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$ Answer

6 0

3 years ago

AC is tangent to circle O at A. The Diagram is not to scale.

statuscvo [17]

Answer:

B. 64°

Step-by-step explanation:

<u>Given:</u>

mBY = 52°

<u>Inscribed angle measure is half the intercepted arc:</u>

m∠BAY = 1/2(52°) = 26°

<u>The angle between the diameter and tangent is right angle:</u>

m∠BAC = 90°

<u>According to angle addition postulate:</u>

m∠YAC = m∠BAC - m∠BAY
m∠YAC = 90° - 26° = 64°

Correct choice is B

7 0

2 years ago

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If probability of catching a cold is 0.03, what is the probability of 3 people out of six catching a cold?

xeze [42]

Answer:

$P(X=x)=0.0004928$

Step-by-step explanation:

-This is a binomial probability problem.

-Given the probability of catching a cold is 0.03, n=6

#The probability of exactly 3 people catching a cold is calculated as:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=3)={6\choose3}0.03^3(1-0.03)^3\\\\=0.0004928$

Hence, the probability of exactly 3 in 6 people catching a cold is 0.0004928

8 0

3 years ago