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SSSSS [86.1K]
3 years ago
5

A. Quadrilateral ABCD is translated to the left 2 units and up 6 units. Write the translation in terms of x and y using

Mathematics
1 answer:
Verdich [7]3 years ago
6 0

Step-by-step explanation:

Go up that much and create a shape

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Solve each triangle using the information provided. If necessary, round to the<br> nearest tenth.
Goryan [66]

Answer:

1) B = 66.5° c = 10.9

Step-by-step explanation:

I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.

For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:

cos23.5 = ¹⁰⁄c

c = ¹⁰⁄cos₂₃.₅

c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)

For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.

So b = 180 - (90 + 23.5) = 180 - 113.5

b = 66.5

  • It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)

I hope this helps you with the other 3 questions.

4 0
3 years ago
Numbers that are multiplied together to find the product are called
Zinaida [17]

Answer:

Multiples, or terms.


7 0
3 years ago
Read 2 more answers
Nhà trường muốn đánh giá tỉ lệ chăm học của sinh viên (trong một tuần). Khảo sát 236 sinh viên thì thấy có 32 sinh viên chăm học
drek231 [11]

Answer:

can't understand the language

4 0
3 years ago
Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components . From the shipment you tak
Alona [7]

Answer:

The standard deviation for the number of defective parts in the sample is 1.88.

Step-by-step explanation:

The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.  

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

68 defective out of 400:

This means that p = \frac{68}{400} = 0.17

From the shipment you take a random sample of 25.

This means that n = 25

Standard deviation for the number of defective parts in the sample:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{25*0.17*0.83} = 1.88

The standard deviation for the number of defective parts in the sample is 1.88.

6 0
3 years ago
A fair fare. Three strangers, Bob, Mary, and Ivan, meet at a taxi stand and decide to share a cab to cut down the cost. Each has
professor190 [17]

Answer:

$21 the minimum Bob has to may will be the amount payed regardless of the number of passengers in the taxi

6 0
3 years ago
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