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Kipish [7]
3 years ago
10

If a=22.3 and B=47°18’ find c (picture provided)

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0

Answer:

d. 32.9

Step-by-step explanation:

To find c, we'll use the Law of Sines that says:

\frac{a}{sin(A)} = \frac{c}{sin(C)}

And we'll isolate a to get:

c = \frac{sin(C) * a}{sin(A)}

We first need to find A, which is easy.  The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:

A = 180 - 90 - 47.3 = 42.7

(converted 47°18' to 47.3)

Then we will plug-in the information we already have

c = \frac{sin(90) * 22.3}{sin(42.7)} = 32.88

So, let's round it to 32.9 to match the answer number D.

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Mary got a sales job at her father's company. She was paid $9 per hour plus a 5%commission on her sales. Last week sheworked 40
horsena [70]

Answer:

Mary was paid $638

Step-by-step explanation:

Mary was paid 360 $ for working alone because

$40 * 9 = $360

Mary was paid $278

5 % * $5560 = $278

360 + 278 = 638 $

5 0
2 years ago
The measure of angle A
wariber [46]

Answer:

A. Measure of angle A + measure of angle B

Step-by-step explanation:

Because angle 4 is an exterior angle of given triangle which will be equal to the Measure of angle 2 + measure of angle 3

6 0
3 years ago
Find the product of (n4+7)2
Marat540 [252]

Answer:

8n + 14 is the product

Step-by-step explanation:

Use the distributive property to solve:

( 4n +7 ) 2

8n + 14


8 0
3 years ago
Please help me! I am very confused
Sphinxa [80]

Answer:

1) 22.5  A

2) 112    B

3) 430   L

4) 576   P

5) 486   L

6) 624  S

Code is A B L P L S

Step-by-step explanation:

1) Area of a triangle = 1/2 * base * height = 1/2 *5*9 = 22.5

2) Area of a parallelogram = base x height = 14 x 8 = 112

3) Area of a rectangular prism = 2(length * width) + 2*(length + height) + 2 *(length *height)

= 2(15x7 + 15*5 + 7*5)

= 2(105 + 75 + 35)

= 2 * 215

= 430

4) Volume of a triangular prism = 1/2 * base * length * height

= 1/2 * 8 * 16 * 9

= 576

5) A cube has six surfaces. Each surface has an area of s x s where s is the length of each side. In this case, each side has area of 9x9 = 81. Total surface area = 6 x 81 = 486 and that is the paper required

6) The trailer is a rectangular prism so its volume = length x width x height = 13 6 x 8 = 624

Now you have to look at each value and see which letter it corresponds to. For example answer 1) is 22.5 which lies between 0-100 so it gets letter A, answer (2) is 112 which lies in the range 101-200 so it gets the letter B and so on

4 0
2 years ago
PQRS is parallelogram,QM is the height of Q to SR and ON is the height from Q to PS.It SR =12 cm and QM =7.6 cm find the area of
Oksanka [162]

Given: SR=12cm, QM=7.6cm, PS=8cm.

Area of parallelogram=base×height

=12×7.6=91.2cm2.

Area of parallelogram=base×height

⇒91.2=8×QN

⇒QN=891.2=11.4cm.

5 0
2 years ago
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