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Alina [70]
3 years ago
10

Directions: Read each problem, then solve for the missing part(s).

Mathematics
1 answer:
Bezzdna [24]3 years ago
5 0

I have attached an image showing the triangle with angle and distance depicted in the question.

Answer:

151 miles

Step-by-step explanation:

We have to first find the unknown angle in the triangle.

Sum of angles in a triangle is 180°.

Thus, if we call angle at Norfolk A, we have;

A = 180 - (83 + 31)

A = 66°

Using sine rule, we can find the distance which we will term as a.

Thus;

a/sin 83 = 139/sin 66

a = (139 × sin 83)/sin 66

a = 137.963915/0.913545

a ≈ 151 miles

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3y - 2 = 13 solve for y
Serhud [2]

Answer:

y = 5

Step-by-step explanation:

3y - 2 = 13

We are solving for y, so we want to isolate it.

Add 2 to both sides.

3y = 15

Continue isolating y by dividing both sides by 3.

y = 5

Check your answer by plugging it back into the original equation.

3y - 2 = 13

3(5) - 2 = 13

Multiply.

15 - 2 = 13

Subtract.

13 = 13

Your answer is correct.

Hope this helps!

3 0
3 years ago
Read 2 more answers
Assume that when adults with smartphones are randomly​ selected, 57​% use them in meetings or classes. If 8 adult smartphone use
maxonik [38]

Answer:  0.0575

Step-by-step explanation:

Binomial probability distribution :-

P(x)=^nC_xp^x(1-p)^{n-x}, where P(X) is the probability of getting success in x trials, n is the total number of trials and p is the probability of success in each trial ( in  decimal ).

Given : The probability that adults use smartphones  in meetings or classes = 0.57

Sample size : n= 8

Now, the probability that exactly 2 of them use their smartphones in meetings or classes :-

P(x)=^8C_2(0.57)^2(0.43)^{6}\\\\=\dfrac{8!}{(8-2)!2!}(0.57)^2(0.43)^{6}\\\\=0.0575067039294\approx0.0575

Hence, the required probability = 0.0575

6 0
3 years ago
Are you able to write?
Volgvan

Answer:

Well isn't anyone able to write?

3 0
4 years ago
Read 2 more answers
Look at the number pattern shown below:3 × 17 = 5133 × 167 = 5511333 × 1667 = 555111What will be 33333 × 166667?
dolphi86 [110]

Answer:

33333 x 166667 = 5555511111

I think that is the answer you wanted

Step-by-step explanation:

      166667

     x 33333

<u>5555511111 </u>

5 0
4 years ago
The top 1/8 of the runners advance to the finals for the track and field competition. What is the decimal value of the number? S
egoroff_w [7]
To find the decimal form, you have to manually divide 1 by 8. Since 8 is greater than 1, the quotient would then start with 0., then you add a 0 next to 1, to make it 10. This time, divide 10 by 8. The nearest answer would be 1, because 1 *8 = 8. Subtracting this from 10, you get 2. Add another 0 to 2, to make it 20. Do the cycle all over again. The complete solution is as follows:
          0.125
       ---------------------------
   8 |   10
         - 8
        ------------------------
           20
         -16
          -------------
            40
          - 40
       -------------
            0

<em>Hence, the decimal form of 1/8 is 0.125.</em>
8 0
4 years ago
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