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Tems11 [23]
3 years ago
13

Find the missing side or angle. Round to the nearest tenth.

Mathematics
1 answer:
BartSMP [9]3 years ago
8 0

Answer:

b = 2.7

Step-by-step explanation:

Given:

< C = 53°

< B = 80°

a = 2

Required:

Find b

Solution:

The question given suggests we are given measures for a ∆.

To find side b, which corresponds to angle B, first, we'd find angle A, which corresponds to side a, then apply the Law of sines to find side b.

=> A = 180 - (53 + 80) = 47°

Law of Sines: \frac{a}{sin(A} = \frac{b}{sin(B}

Plug in the values into the formula

\frac{2}{sin(47} = \frac{b}{sin(80}

Cross multiply

2*sin(80) = b*sin(47)

Divide both sides by sin(47) to make b the subject of formula

\frac{2*sin(80)}{sin(47} = b

2.69 = b

b = 2.7 (nearest tenth)

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The answer is Letter B - $2,850. 

Multiply the number of shares to their respective costs per share. Add the results. Get the total number of shares then divide it by 10 before multiplying the result to 4.25. Add the product to the previous total.

   Hyren Airlines: 92 shares x 13.70 = 1260.4
   Giaco Household Goods: 130 x 3.28 = 426.40
   Iwad Records: 126 x 8.06 = 1015.56
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7 0
4 years ago
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A triangle has vertices at B(−3, 0), C(2, −1), D(−1, 2). Which transformation would produce an image with vertices B″(−2, 1), C″
vichka [17]

Answer:

Flip vertical then shift (translation) right 1 unit

Step-by-step explanation:

A (-3,0)   B (2,-1)  C (-1,2) .... green triangle

Flip vertical becomes

A (-3,1)   B (2,2)  C (-1,-1) .... blue triangle

shift to right 1 unit

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6 0
3 years ago
A restaurant has an electronic system that randomly selects customers when they pay for their meal to
polet [3.4K]

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • For each customer, 10% probability of receiving a coupon, thus p = 0.1.
  • 2 customers are selected, thus n = 2

The probability that <u>neither receives a coupon is P(X = 0)</u>, thus:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{2,0}.(0.1)^{0}.(0.9)^{2} = 0.81

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

A similar problem is given at brainly.com/question/25326823

7 0
3 years ago
Find the distance from C to G.<br> 4<br> 86<br> 7<br> 64<br> 3<br> 32
amm1812

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Step-by-step explanation:

8 0
3 years ago
Find the missing SIDE "X".
Marysya12 [62]
Ughh trig
I think what you gotta do here is use tangent because you are dealing with opposite and adjacent. Doing tan(41) will give you x/10. tan(41) is 0.8692... and you can just multiply that by 10 because x is being divided by 10, so x is around 8.69.
Now, with the two legs, you can use Pythagorean theorem to find the hypotenuse.
You already have 2 angles (right angle and the angle we just used to find x) so we can use the fact that all triangle angles add up to 180 to do 180-90-41.

In the end, x ends up being around 8.7, the hypotenuse around 13.3 and the last angle 49 degrees.
8 0
3 years ago
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