1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OLga [1]
3 years ago
6

The sine of 58º is equal to the cosine of what angle?

Mathematics
1 answer:
solniwko [45]3 years ago
7 0
Check the picture below.

in a right-triangle, the cosine of one of the acute angles, is equivalent to the sine of the "other" acute angle, as the example shows in the picture.

and since both acute angles are "complementary angles",  namely they add up to 90°, then

sin(58°)  =  cos(90° - 58°)

You might be interested in
The points scored on a test for a sample of
jasenka [17]

Answer:

The mean is 42.6

Step-by-step explanation:

6+90+16+80+15 + 70 + 4 + 60 = 341 \\ there \: are \: 8 \: numbers \: in \: total \: so \: you \: divide \: the \: sum \\ by \: 8. \\ 341 \div 8 = 42.625  \\ mean≈42.6

5 0
3 years ago
Forgot to do this over winter break. Its due tomorrow and I haven't used my brain for 2 weeks. HELPPP (may have to zoom in)
ANEK [815]
1. 60,30,90 right triangle. y will be hypotenuse/2, x will be
hypotenuse*sqrt(3)/2. So x = 16*sqrt(3)/2 = 8*sqrt(3), approximately 13.85640646 
y = 16/2 = 8  
2. 45,45,90 right triangle (2 legs are equal length and you have a right angle).
X and Y will be the same length and that will be hypotenuse * sqrt(2)/2. So 
x = y = 8*sqrt(2) * sqrt(2)/2 = 8*2/2 = 8 
 3. Just a right triangle with both legs of known length. Use the Pythagorean theorem 
x = sqrt(12^2 + 5^2) = sqrt(144 + 25) = sqrt(169) = 13  
4. Another right triangle with 1 leg and the hypotenuse known. Pythagorean theorem again. 
y = sqrt(1000^2 - 600^2) = sqrt(1000000 - 360000) = sqrt(640000) = 800  5. A 45,45,90 right triangle. One leg known. The other leg will have the same length as the known leg and the hypotenuse can be discovered with the Pythagorean theorem.  x = 6. y = sqrt(6^2 + 6^2) = sqrt(36+36) = sqrt(72) = sqrt(2 * 36) = 6*sqrt(2), approximately 8.485281374  
6. Another 45,45,90 triangle with the hypotenuse known. Both unknown legs will have the same length. And Pythagorean theorem will be helpful. 
x = y. 
12^2 = x^2 + y^2 
12^2 = x^2 + x^2 
12^2 = 2x^2 
144 = 2x^2 
72 = x^2 
sqrt(72) = x 
6*sqrt(2) = x 
x is approximately 8.485281374  
7. A 30,60,90 right triangle with the short leg known. The hypotenuse will be twice the length of the short leg and the remaining leg can be determined using the Pythagorean theorem. 
y = 11*2 = 22. 
x = sqrt(22^2 - 11^2) = sqrt(484 - 121) = sqrt(363) = sqrt(121 * 3) = 11*sqrt(3). Approximately 19.05255888  
8. A 30,60,90 right triangle with long leg known. Can either have fact that in that triangle, the legs have the ratio of 1:sqrt(3):2, or you can use the Pythagorean theorem. In this case, I'll use the 1:2 ratio between the unknown leg and the hypotenuse along with the Pythagorean theorem. 
x = 2y 
y^2 = x^2 - (22.5*sqrt(3))^2 
y^2 = (2y)^2 - (22.5*sqrt(3))^2 
y^2 = 4y^2 - 1518.75 
-3y^2 = - 1518.75 
y^2 = 506.25 = 2025/4 
y = sqrt(2025/4) = sqrt(2025)/sqrt(4) = 45/2 
Therefore: 
y = 22.5
 x = 2*y = 2*22.5 = 45  
9. Just a generic right triangle with 2 known legs. Use the Pythagorean theorem. 
x = sqrt(16^2 + 30^2) = sqrt(256 + 900) = sqrt(1156) = 34  
10. Another right triangle, another use of the Pythagorean theorem. 
x = sqrt(50^2 - 14^2) = sqrt(2500 - 196) = sqrt(2304) = 48
8 0
3 years ago
Find the slope of the line passing through the points (7, 8) and (-7, 1). Show your work.
anygoal [31]

Answer:

The slope is \frac{1}{2}

Step-by-step explanation:

∵ The rule of the slope passing through 2 points is:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ The points are (7 , 8) and (-7 , 1)

∴ m = \frac{1-8}{-7-7}=\frac{-7}{-14}=\frac{1}{2}

4 0
2 years ago
Find the area. Simplify your answer.
bija089 [108]

Step-by-step explanation:

area of rectangle=length×breadth=(2x+3)(3x+7)

=6x²+9x+14x+21=6x²+23x+21

6 0
2 years ago
Kelsey wants to buy a new video game.
Ahat [919]

Answer: c: $65

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Michael drinks 355 milliliters of orange juice and puts 6 centiliters of syrup on his pancakes for breakfast. How many millilite
    15·1 answer
  • PLEASE HELP ASAP! Will give BRAINLIEST! Please answer correctly!<br> No guessing!
    6·1 answer
  • You drive your car for 4.5 hours at an average speed of 70 miles per hour how far did you go
    12·1 answer
  • Find the given angle to the nearest degree.
    9·2 answers
  • Amelia enjoys running and often runs at a steady pace. At this pace, Amelia can run 50 yards in 12 seconds. What is Amelia's uni
    8·1 answer
  • I need help Please!​
    7·1 answer
  • Please give the correct answer and explain im really trying to learn this so I need the explanation not just an answer. Thankyou
    5·1 answer
  • What is the slope of the line 4x – 2y = 5? O --2 O 2 04​
    7·1 answer
  • The square of a number is 12 less than the sum of 34 and 42 . What is the number?
    7·1 answer
  • There are 15 players on a volleyball team. Only 6 players can be on the court for a game. How many different groups of players o
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!