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Vikki [24]
3 years ago
6

The point P=\left(-\frac{\sqrt{33}}{7},\,\, y\right)P=(− 7 33 ​ ​ ,y) lies on the unit circle shown below. What is the value of

yy in simplest form?
Mathematics
1 answer:
kifflom [539]3 years ago
4 0

Answer:

y = √-1040/7

Step-by-step explanation:

The equation of a unit circle is expressed as;

x²+y² = 1

Given the coordinate of P = (-33/7, y)

Substitute the coordinate into the give expression and find y;

(-33/7)²+y² = 1

Expand

y² = 1-(-33/7)²

According to difference of two square

y² = (1+(-33/7))1-(-33/7))

y² = (1-33/7)(1+33/7)

y² = -26/7(40/7)

y² = -1040/49

y= √-1040/49

y = √-1040/√49

y = √-1040/7

Hence the value of y is y = √-1040/7

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Type the correct answer in the box. Write your answer as a whole number. The radius of the base of a cylinder is 10 centimeters,
Hoochie [10]

Answer:

The answer is 24 i believe

Step-by-step explanation:

The formula to find the volume)The volume of cylinder will be = V\pi r^2 h

V = 1/3times3.14times5times5times10=261.67 cubic cm.

Now, the number of cones needed to fill the cylinder will be = 6280/261.67=23.999 = 24

Another way to figure

this out is n×1/3×5×5×10=10×10×20

n=2000×3÷250

n=24

4 0
4 years ago
Veronica tells another classmate that ΔHAT is congruent to ΔPAM because of the AAA Theorem. Is Veronica correct in what she tell
SCORPION-xisa [38]

Answer: Veronica is not correct

Explanation:

The AAA theorem, aka the AA theorem, only applies to similar triangles. We cannot use it to prove two triangles are congruent or not. We would need to know info about at least one pair of sides. So based on this diagram, we don't have enough information to know if triangle HAT is congruent to triangle PAM or not.

A similar example to this is to consider two equilateral triangles. Let's call them triangle A and triangle B. If equilateral triangle A has side lengths of 2, and has side lengths of 10, we can see that the triangles are not congruent. However, the triangles are similar because the corresponding angles equal one another. One triangle is a scaled copy of the other. This example is a counterexample as to why the AAA theorem is not a valid congruence theorem.

3 0
2 years ago
The scale drawing of a swimming pool measures 2 inches by 3 inches. on the drawing .25 inches = 3 feet. what are the actual dime
Digiron [165]
0.25 = 3 ft

2/0.25 = 8....8 x 3 = 24 ft
3/0.25 = 12....12 x 3 = 36 ft

actual dimensions are : 24 ft by 36 ft
3 0
3 years ago
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stepan [7]
S(x) = x^3
Make x the subject:-
x = (S(x))^ 1/3 = ∛ S(x)

Inverse  is ∛ S(x)
7 0
3 years ago
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At the Rubber Duckie booth at the County Fair, contestants randomly pick two rubber ducks, one from each of two separate pools.
Arisa [49]
1. There are 10 ducks in total, 5 in each pool.

2. For each pool, the probability of picking a certain numbered duck—for instance, #3—is 20%.

3. Because the pools are separate with, picking one duck from one pool does not affect the chance of picking a certain duck from the other pool.

4. Therefore, the probability that a contestant wins the game is 20%.

Good luck!
5 0
3 years ago
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