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patriot [66]
3 years ago
12

I really need help. Find a. Round to the nearest tenth.

Mathematics
1 answer:
valina [46]3 years ago
6 0

Answer:

a ≈ 1.8

Step-by-step explanation:

a / sin (180 - 105 - 15)° = 2 /sin 105°

a = (2 /sin 105°) x sin 60°

a = (2 / 0.97) x 0.87

a = 1.79    (≈ 1.8)

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I NEED GOOD GRADES PLEASE HELP
Tcecarenko [31]
If my math is right, not even a full day since it’s 2 2/3 and they use 8
6 0
3 years ago
For one toss of a certain coin, the probability that the outcome is heads is 0.6. If this coin is tossed 5 times, which of the f
pishuonlain [190]

Answer:

The probability is 0.33696

Step-by-step explanation:

The probability that the outcome will be heads x times is calculated using the following equation:

P(x) = nCx*p^{x} *(1-p)^{n-x}

nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.

So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.

Then, the probability that the outcome will be heads at least 4 times is calculated as:

P = P(4) + P(5)

Where P(4) is:

P(4) = 5C4*0.6^{4} *(1-0.6)^{5-4}

P(4)=0.2592

And P(5) is:

P(5) = 5C5*0.6^{5} *(1-0.6)^{5-5}

P(4)=0.07776

Finally, the probability is:

P = 0.2592 + 0.07776

P = 0.33696

5 0
3 years ago
A circle with circumference 20 has an arc with 72 degree central angle what is length of the arc
Debora [2.8K]

Answer:

<h2>4</h2>

Step-by-step explanation:

<em>Look at the picture.</em>

<em />

<em>At the beginning we have to calculate what part of the angle 360° is the given angle 75°.</em>

<em />\dfrac{75}{360}=75:360=0.2<em />

<em>The same part of the circumference of the circle is the arc defined by this central angle.</em>

The circumference <em>C = 20</em>.

Therefore

x=0.2\cdot20=4

4 0
3 years ago
There are 2820 cars in Farmington. The ratio of medium size cars to compacts is 7 to 5 and the ratio of compacts to full-size ca
oee [108]

Answer:

Number of full size cars = 900

Step-by-step explanation:

The ratio of medium size cars to compacts is 7 to 5 and the ratio of compacts to full-size cars is 8 to 9. Since compact cars are  there in both ratios , we need to  make the number in the ratio for compact cars to be the same.

\frac{medium}{compact} = \frac{7}{5}

Multiply by 8 on numerator and denominator

\frac{medium}{compact} = \frac{56}{40}

\frac{compact}{full size} = \frac{8}{9}

Multiply numerator and denominator by 5.

\frac{compact}{full size} = \frac{40}{45}

Ratio of medium, compact and full size are in ratio 56,40,45.

Total number of cars =2820.

(56 + 40 + 45)x = 2820

x = \frac{2820}{141}

x = 20

Number of full size cars = 20\times 45 =900

3 0
3 years ago
Please help I will give brainliest
pentagon [3]

The option that represents the answers for 6, 8, 10, and 14 is the second option-   31, 41, 51, 71

<h3>Sequence and Series </h3>

From the question, we are to determine the option that represents the answer for pictures 6, 8, 10, and 14

In the given diagram,

The first picture requires 6 matches

The 2nd picture requires additional 5 matches

the 3rd  picture requires additional 5 matches

and so on

That is

1 → 6

2 → 6 + 5 = 11

3 → 11 + 5 = 16

4 → 16 + 5 = 21

5 → 21 + 5 = 26

6 → 26 + 5 = 31

7 → 31 + 5 = 36

8 → 36 + 5 = 41

9 → 41 + 5 = 46

10 → 46 + 5 = 51

11 → 51 + 5 = 56

12 → 56 + 5 = 61

13 → 61 + 5 = 66

14 → 66 + 5 = 71

Hence, the option that represents the answers for 6, 8, 10, and 14 is the second option-   31, 41, 51, 71

Learn more on Sequence and Series here: brainly.com/question/10321751

#SPJ1

7 0
2 years ago
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