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irga5000 [103]
3 years ago
12

PLEASE HELP! I REALLY NEED IT! I WILL GIVE BRAINLIEST! PLEASE SEE ATTACHMENT!

Mathematics
2 answers:
beks73 [17]3 years ago
6 0

Answer:

m = 24

Step-by-step explanation:

We know that ∠AOC = 90°, which means that since ∠AOD, ∠DOB, and ∠BOC make up ∠AOC, then:

∠AOC = ∠AOD + ∠DOB + ∠BOC = 90

Each of these angles can be written with an expression:

∠AOD = m + 7

∠DOB = 2m

∠BOC = 11

Let's substitute these expressions into the first equation:

∠AOD + ∠DOB + ∠BOC = 90

(m + 7) + (2m) + (11) = 90

Combine like terms:

3m + 18 = 90

3m = 72

m = 24

Thus, m = 24.

frez [133]3 years ago
4 0

the value of m is 24°

Step-by-step explanation:

m+7+2m+11=90° ( being complementary angle)

3m+18°= 90°

3m =90- 18°

3m = 72

m= 72/3

m=24°

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The equation of a circle is given below. (x+4)^{2}+(y-6)^{2} = 48 what is the radius
Lina20 [59]

Answer:

The radius is 4\sqrt{3} because the equation of a circle is (x-h)^2 + (y-k)^2 = r^2 You get 4\sqrt{3} from taking the square root of 48

Step-by-step explanation:

7 0
4 years ago
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Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gen
Aleksandr-060686 [28]

Let X be the number of boys in n selected births. Let p be the probability of getting baby boy on selected birth.

Here n=10. Also the male and female births are equally likely it means chance of baby boy or girl is 1/2

P(Boy) = P(girl) =0.5

p =0.5

From given information we have n =10 fixed number of trials, p is probability of success which is constant for each trial . And each trial is independent of each other.

So X follows Binomial distribution with n=10 and p=0.5

The probability function of Binomial distribution for k number of success, x=k is given as

P(X=k) = (10Ck) 0.5^{k} (1-0.5)^{10-k}

We have to find probability of getting 8 boys in n=10 births

P(X=8) = (10C8) 0.5^{8} (1-0.5)^{10-8}

= 45 * 0.0039 * 0.25

P(X = 8) = 0.0438

The probability of getting exactly 8 boys in selected 10 births is 0.044

8 0
3 years ago
Write the equation of the line in slope-intercept that has passes through the points (2,-5) and (8, 13). ​
const2013 [10]

Answer:

The equation of the straight line in Slope- intercept form

 y = 3 x - 11

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given points are   (2,-5) and (8, 13)

The Slope of the line

            m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{13-(-5)}{8-2} = \frac{18}{6} =3

Equation of the line having slope 'm' and given point

        y - y_{1} = m (x - x_{1} )

(x₁ , y₁)   =    ( 2, -5 )  

        y - (-5) = 3 (x - 2 )

       y + 5 = 3x - 6

The equation of the straight line in slope intercept form

    y = m x + c

       y = 3 x - 6-5

       y = 3 x - 11

<u><em>Final answer:</em></u>-

The equation of the straight line in Slope- intercept form

 y = 3 x - 11

     

8 0
3 years ago
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3 years ago
Fourteen more than the product of three and nine
Olegator [25]

Answer:

41

Step-by-step explanation:

14 more than the product of 3 and 9 is basically 14+(3*9) which is 14 plus 27. That results in the answer: 41.

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