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valentina_108 [34]
3 years ago
9

For which acute angle are the sine of the angle and cosine of the angle equal?

Mathematics
2 answers:
pentagon [3]3 years ago
6 0

Answer:

∠45°

Step-by-step explanation:

When looking at a unit circle, the only acute angle (an angle between

0° and 90°) that consists of an equal sine and cosine is 45°. This is because:

sin 45 = \frac{\sqrt{2} }{2}

cos45 =  \frac{\sqrt{2} }{2}

45° is the only acute angle that contains an equal sine and cosine.

sladkih [1.3K]3 years ago
4 0

Answer:

45 degrees

Step-by-step explanation:

Since Sin(90-x) = Cos(x), we can find that the angle at which 90-x=x is 45 degrees. This corresponds to \frac{\pi }{4} radians

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Pleaseeee help i don't understand how to do this
den301095 [7]

Answer:

x=\frac{5}{k}

Step-by-step explanation:

Given expression is,

\text{log}_{3^k}243=x

By using the law of logarithm,

(3^k)^x=243

3^{kx}=243

3^{kx}=3^5

By comparing exponents on both the sides of the equation,

kx=5

x=\frac{5}{k}

Therefore, x=\frac{5}{k} will be the answer.

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3 years ago
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Answer:

F

Step-by-step explanation:

Multiply -3 by 6.5 and you'll get your answer :)

I hope I helped!

4 0
2 years ago
Adriana uses 1 1/4 cup of pretzels for every 1/2 cup of raisins
vekshin1

Answer:

1.25 cup of pretzels for every 0.5 cup raisins

Step-by-step explanation:

5 0
2 years ago
There are 740 tickets purchased for a Major League Baseball game. The lower reserved tickets cost $9.50 and the upper reserve co
artcher [175]

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Step-by-step explanation:

Let x be the number lower reserved tickets

and

y be the number of upper reserved tickets

Then according to given statements

x+y = 740\ \ \ \ Eqn\ 1\\9.50x+8y = 6482.50\ \ \ \ Eqn\ 2

From equation 1:

x = 740-y

Putting in equation 2

9.5(740-y)+8y = 6482.50\\7030-9.5y+8y = 6482.50\\7030-1.5y = 6482.50

Subtracting 7030 from both sides

7030-7030-1.5y = 6482.50-7030\\-1.5y=-547.5

Dividing both sides by -1.5

\frac{-1.5y}{-1.5} = \frac{-547.5}{-1.5}\\y = 365

Putting y = 365 in equation 1

x+365 = 740\\x = 740 - 365\\x = 375

Hence,

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Keywords: Linear equations, Variables

Learn more about linear equations at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

3 0
3 years ago
Thomas runs 34 of a mileevery day for 5 days. Howfar has he run total?
STALIN [3.7K]

Guven:

Miles per day = 34 miles

Number of days = 5 days

To find the total distance(miles), we have:

Total distance = distance covered per day x Number per days

= 34 x 5 = 170 miles

Therefore, the total distance he has covered is 170 miles

ANSWER:

170 miles

4 0
1 year ago
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