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Hatshy [7]
2 years ago
11

Which pair of angles has congruent values for the sin x° and the cos y°?

Mathematics
2 answers:
Radda [10]2 years ago
7 0
For values to have congruent sin and cos value, it means that sin x=cos y
thus from the given values, the values that sin x is congruent to cos y will be found as follows;
70
sin 70=0.9397
getting the cosine for y values we get:
cos 160=-0.9397
cos 70=0.3420
cos 120=-0.5
cos 20=0.9397
from the above we see that the cosine value congruent to sin 70 is cos 20
Mashutka [201]2 years ago
4 0

Answer:

70; 20

Step-by-step explanation:

By the definition of a triangle, all angles must sum to 180 degrees.

We already know that the right triangle automatically has an angle of 90 degrees, so the last two angle must be complemetary and will always total 90 degrees as well.

So, by the process of elimination we can gather that the angles must be 70 and 20.

To prove our answer is correct, we can add the angles together: 70 + 20 + 90 = 180. Yep, it works!

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Gianna is going to throw a ball from the top floor of her middle school. When she throws the hall from 48 feet above the ground,
vazorg [7]

Answer:

So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.

Step-by-step explanation:

The height h of the ball is modeled by the following equation

h(t)=-16t^2+32t+48

The problem want you to find the times the ball will be 48 feet above the ground.

It is going to be when:

h(t) = 48

h(t)=-16t^{2}+32t+48

48=-16t^{2}+32t+48

0=-16t^{2}+32t+48 - 48

16t^{2} - 32t = 0

We can simplify by 16t. So

16t(t-2)= 0

It means that

16t = 0

t = 0

or

t - 2 = 0

t = 2

So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.

6 0
2 years ago
Which ordered pairs are solutions to the inequality 2y−x≤−6 ?
Vinil7 [7]
Given inequality: 2y−x ≤ −6

Option-1 : (-3,0)
2×0 - (-3) = 0 + 3 = 3 > -6
Not satisfied

Option-2 : (6,1)
2×1 - 6 = 2 - 6 = -4 > -6
Not satisfied

Option-3 : (1, -4)
2×(-4) - 1 = -8 - 1 = -9 < -6
Satisfied.
Thus, (1, -4) is a solution.

Option-4 : (0, -3)
2×(-3) - 0 = -6 - 0 = -6 = -6
Satisfied.
Thus, (0, -3) is a solution.

Option-5 : (2, -2)
2×(-2) - 2 = -4 - 2 = -6 = -6
Satisfied.
Thus, (2, -2) is a solution.

Solutions are: (1, -4), (0, -3) , (2, -2)

4 0
2 years ago
Tony is 4 years younger than his brother josh and two years older than his sister Cindy. Tony also has a twin brother, Evan. All
Sholpan [36]

Let Tony's age = x

He is 4 years younger than his brother Josh, so Josh's age would be x + 4

He is 2 years older than his sister, so her age would be x - 2

He has a twin, which would be the same age, so the twins age is also x

They all add together to equal 66, so you get:

x  + x + x+4 + x-2 = 66

Simplify:

4x +2 = 66

Subtract 2 from both sides:

4x = 64

Divide both sides by 4:

x = 64/4 = 16

Tony is 16 years old.

8 0
2 years ago
A recipe for 11 pizza crust calls for 3838 tablespoon of salt. How much salt is needed to make 33 pizza crusts?
max2010maxim [7]
Its 11,514 tablespoons of salt
8 0
2 years ago
The hospital shop buys cereal bars in boxes of 4.
Korolek [52]
First, you divide 58 bars by 4. The answer will be 14 boxes with 2 bars remaining in the box.
8 0
2 years ago
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