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3 years ago

A hockey puck strikes a wall at an angle of 30 degrees. the puck then travels away from the wall at the same angle.

Mathematics

1 answer:

patriot [66]3 years ago

5 0

Two or more angles whose sum is 180° are called supplementary angles. The measure of the ∠y is 120°.

<h3>What are supplementary angles?</h3>

Two or more angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

Given the puck strikes the wall at an angle of 30°, it goes away at the same angle of 30°. Therefore, the measure of angle y can be found using the sum of the angle as a supplementary angle. Thus, we can write,

30° + ∠y + 30° = 180°

60° + ∠y = 180°

∠y = 180° - 60° = 120°

Hence, the measure of the ∠y is 120°.

Learn more about Supplementary Angles:

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kap26 [50]

The slope of y=9x is 9/1 which simplifies to 9

The slope of y=10x-2 is 10/1 which simplifies to 10

7 0

3 years ago

Read 2 more answers

There are 10 cups of blue paint and 6 red cups of paint.whats the ratio of blue paint to red paint?

noname [10]

10:6

blue paint= 10

red paint= 6

ratio is blue:red

therefore, the answer is 10:6

7 0

3 years ago

GCF of 9ab^2 and 6bc^2

garik1379 [7]

The GCF is 3*b = 3b

Step-by-step explanation:

The GCF is the Greatest Common Factor which will divide all the numbers whose GCF it is.

To find the GCF, we factorize the polynomials first

So,

$9ab^2 = 3*3*a*b*b\\6bc^2=3*2*b*c*c$

We can see that only 3 and b are common in factors of both polynomials

So,

The GCF is 3*b = 3b

Keywords: GCF, Polynomials

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6 0

3 years ago

Find the coordinates of the vertices of the figure after the given transformation T <2,4>

tankabanditka [31]

The correct answer is option A which is j'(1,3) , E'( -2,1) and V'( 1,3).

<h3>What is coordinate geometry?</h3>

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that:-

The coordinates of the vertices of the figure after the given transformation T <2,4>

So we will transform the points given in the figure.

V(-1,-1) , J(-4,-5) and E(-4,-3).

The transformation will be given as:-

V(-1,-1) → V'(-1+2 , -1 + 4) → V'( 1,3 )

J(-4,-5) → J'( -4 +2 , -5 + 4 ) → J'( -2,-1 )

E(-4,-3). → E'( -4+2 , -3+4 ) → E' ( -2, 1 )

Therefore correct answer is option A which is j'(1,3) , E'( -2,1) and V'( 1,3).

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4 0

2 years ago

Which triangle is similar to ΔABC if sin(A) = 1/4, cos(A) = √15/4, and tan(A) = 1/√15?

Anit [1.1K]

Answer:

D is the similar triangle

Step-by-step explanation:

A quick solution to this problem is using the hypotenuse.

You know that sin(A) is 1/4 and sin is opposite / hypotenuse, so the hypotenuse should be a multiple of 4 in order for the fraction to reduce to 1/4. (it might not be, but I usually do this to see if there's a quick solution)

Using this trick, you find that the only triangle with a hypotenuse that is a multiple of 4 is the last triangle. Now simply double check the other trig. functions to check whether it truly is the same.

To check each trig function, you must first determine the corresponding angle to angle A. Again, for simplicities sake, let's use 1/4 as a determiner for the angle. The only combination of sides divided by hypotenuse that simplifies to 1/4 is 6/24. Therefore 6 must be opposite to the angle, since it's sin(a) = 1/4 and sin is opposite / hypotenuse. So the angle is X.

Now check for both cos and tan

Cos(x) = 6(15)^0.5 / 24 = (15)^0.5 / 4 CHECKS OUT

Tan(x) = 6 / 6(15)^0.5 = 1 / (15)^0.5 CHECKS OUT

Since everything checks out, then answer D is truly correct.

7 0

3 years ago