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zimovet [89]
3 years ago
13

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β

if β < α. sin(3x − 27) = cos(5x + 5)
A) 14°
B) 15°
C) 75°
D) 76°
Mathematics
1 answer:
ElenaW [278]3 years ago
5 0

Answer:

A) 14°

Step-by-step explanation:

If α and β are the two angles other than 90° in a right triangle, then we have the relation between α and β as, α+β=90°.

Therefore, Sin α = Sin (90° -β) =Cos β.

So, we can write the reverse as if Sin α = Cosβ, then we have α + β =90°.

It is given that, Sin (3x-27) = Cos (5x+5).

Hence, we can write (3x-27) + (5x + 5) = 90

⇒ 8x = 90+27-5 =112

⇒ x = 14°

Therefore, option A. is correct. (Answer)

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Step-by-step explanation:

the answer is 35 if he want the degree of c in RCD trangle

and if you want the RCD and The PCD deegrees total its 70

4 0
3 years ago
Laura and Brent paddled a canoe 6 miles upstream in four hours. The return trip took three hours. Find the rate at which Laura a
mixas84 [53]
Call the rate in still water vs;
upstream you have: vs-v=6/4
downstram you have: vs+v=6/3
where v is the rate with which the river flows.
rearranging:
vs-v=3/2
vs+v=2
from the second you have v=2-vs substitute into the first:
vs-2+vs=3/2
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3 years ago
The back of Alisha's property is a creek. Alisha would like to enclose a rectangular area, using the creek as one side and fenci
melomori [17]

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5 0
2 years ago
Clara lends half her collection of formal attires to her sister, Susan. Clara then buys four more attires. If she has 12 attires
alukav5142 [94]

Answer:

16

Step-by-step explanation:

Number of attires Clara has initially = x

lends half her collection of formal attires to her sister

Attires remaining after lending = Number of attires Clara has initially - attires she lent her sister

= x - 1/2x

= 1/2x

Clara then buys four more attires

= 1/2x + 4

If she has 12 attires now

12 = 1/2x + 4

12 - 4 = 1/2x

8 = 1/2x

x = 8 ÷ 1/2

= 8 × 2/1

= 16

x = 16

Number of attires Clara has initially = x = 16

6 0
3 years ago
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laila [671]

$68 is discounted from the regular price.

To find this, you first divide 80% by 100 to get 0.8 (the decimal form of the percentage). Then, simply multiply 0.8 by 85 (or vise verse) to get $68. Since the question is asking for how much is discounted from the regular price, the final answer would be $68.

I hope this helps!

4 0
2 years ago
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