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2 years ago

Given the exact value for sides a and c.

Mathematics

1 answer:

Over [174]2 years ago

5 0

Answer:

See below

Step-by-step explanation:

a = 15 sqrt 2 sin 45

= 15 sqrt 2 * sqrt( 2 ) /2 = 15 * 2 /2 = 15

sin 60 = a/c

sqrt(3)/2 = 15/c

c = 15 / ( sqrt(3)/2) = 30 / sqrt 3 = 30 sqrt 3 /3 = 10 sqrt 3

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Patrick and Shelby are playing a game. They toss a fair six-sided number cube, numbered 1 through 6, and they spin a spinner whi

zhuklara [117]

Answer:

(Red, 1) (Red, 2) (Red, 3) (Red, 4) (Red, 5) (Red, 6)

(Blue, 1) (Blue, 2) (Blue, 3) (Blue, 4) (Blue, 5) (Blue, 6)

Step-by-step explanation:

8 0

2 years ago

Find the coordinates of the image of M(−1, 5) after the translation (x, y)→(x+3, y−2).

kirza4 [7]

M’(2, 3)

Work:
x: -1 + 3 = 2
y: 5 - 2 = 3

6 0

2 years ago

Supplementary angles formed by parallel lines and transversals that are both outside the parallel line and on the opposite side

Mashcka [7]

Answer:

Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are angles that are formed outside two parallel lines that cuts through a transversal line. these angles are formed on the opposite side of the transversal line ( alternate side).

Also Alternate exterior angles are congruent in nature are they are not adjacent angles as well

4 0

3 years ago

Find QR. <br> A).12<br> B).-8<br> C).9<br> D).6

mihalych1998 [28]

Answer:

D. 6

Step-by-step explanation:

Let's first find x :-

$\sf 3 + 2x + 22 = x + 17$

$\sf 2x + 25 = x + 17$
$\sf 2x - x = 17 - 25$
$\sf x = - 8$

Now that we found x, let's find QR :-

QR = 2x + 22

$\sf QR = 2( - 8) + 22$
$\sf - 16 + 22$
$\sf 6$

Therefore, QR = 6 !!!

4 0

2 years ago

Paul and Tammy went out to dinner and the total of their meals was $37.85. Paul spent $12.55 less than what Tammy spent. How muc

Maru [420]

Answer:

Paul spent $12.65

Step-by-step explanation:

Create a system of equations where p is how much Paul spent and t is how much Tammy spent.

p + t = 37.85

p = t - 12.55

Solve by substitution:

p + t = 37.85

(t - 12.55) + t = 37.85

2t - 12.55 = 37.85

2t = 50.4

t = 25.2

Find how much Paul spent by plugging in 25.5 as t into p = t - 12.55

p = t - 12.55

p = 25.2 - 12.55

p = 12.65

So, Paul spent $12.65

7 0

3 years ago