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german
3 years ago
14

What is the value of y?

Mathematics
2 answers:
pshichka [43]3 years ago
5 0
You actually aren't supposed use to the Pythagorean Theorem. You are supposed to implement the trigonometry functions.

The angle, 60, is directly opposite with what you're trying to find, y. Also since you have another side of the triangle that is identified, you can figure what trig function to use. The line next to the angle is the adjacent. We have the adjacent and opposite. The trig function that implements both sides is the Tangent. The formula for it is tangent(angle) = opposite/adjacent.

Now substitute the number into the formula.

tan(60) = y / 5

We need to isolate y, so we times 5 and tan(60)

tan(60) x 5 = <span>8.66

y is now isolated and the answer is 8.66 = y</span>
julsineya [31]3 years ago
3 0
Check the picture below.

make sure your calculator is in Degree mode.

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How many ways can Rudy choose 4 pizza toppings from a menu of 14 toppings if each topping can only be chosen once
madam [21]

Answer:

24,024

Step-by-step explanation:

Calculation for How many ways can Rudy choose 4 pizza toppings from a menu of 14 toppings

The 4 pizza toppings from a menu of 14 toppings will be 14,13,12,11

Hence,

14*13*12*11=24,024

Therefore the numbers of way Rudy can choose 4 pizza toppings from a menu of 14 is 24,024

6 0
3 years ago
Please help! if abcd is dilated by a factor of 3, the coordinate of b would be
Nikolay [14]

Answer:

(-6, 6)

Step-by-step explanation:

The coordinates of B to start with is

(-2, 2)

To dilate this by a factor of 3....

-2 * 3 = -6

2 * 3 = 6

The new coordinates of B' would be

(-6, 6)

A few things to know:

- The number 3 is called a "<u>scale factor</u>"

- Dilation means we are multiplying all the (X, Y)'s by the scale factor

- If the scale factor is <u>greater than 1</u>, the size of the shape overall increases

- If the scale factor is <u>less than 1</u>, the size of the shape overall decreases

- If the scale factor is <u>negative</u>, the shape size stays the same. The shape just rotates 180 degrees and moves to the opposite quadrant.

7 0
3 years ago
Read 2 more answers
A restaurant had 85 pies. If the pies were split into 4 different groups how many pies were in each group? Write the answer as a
skelet666 [1.2K]

Answer:

85/4 = 21 ,remainder =1

so

21  1/4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below.
Lina20 [59]

Answer:

<h3>⇒ A. 2 should be distributed as 2y + 12, y = 6</h3>

Step-by-step explanation:

Here are the steps to solve this equation:

<u>Given:</u>

First step: 2(y+6)-4y

Use the distributive property.

<u>Distributive property:</u>

<h3>⇒ A(B+C)=AB+AC</h3>

2(y+6)

2*y=2y

2*6=12

2y+12

Isolate the term of y from one side of the equations.

2y+12=4y

Subtract by 12 from both sides.

2y+12-12=4y-12

Solve.

2y=4y-12

Then, you subtract by 4y from both sides.

2y-4y=4y-12-4y

Solve.

2y-4y=-2y

-2y=-12

Divide by -2 from both sides.

\sf{\dfrac{-2y}{-2}=\dfrac{-12}{-2}}

Solve.

Divide the numbers from left to right.

<u>Solutions:</u>

-12/-2=6

\Longrightarrow: \boxed{\sf{y=6}}

  • <u>Therefore, the correct answer is A. "2 should be distributed as 2y+12, y=6".</u>

I hope this helps. Let me know if you have any questions.

4 0
2 years ago
NO =14 and MO =18 determine the length MN
kvasek [131]

Answer:

Step-by-step explanation:

MN=MO+NO

MN=14+18

MN=32

hope i helped.

7 0
3 years ago
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