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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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When the distributive property is used to solve the equation 5(2 + 4) = 32 - 5, what is the next step?
coldgirl [10]

Answer:

no solution

Step-by-step explanation:

5(2 + 4) = 32 - 5

Simplify

5×6=32−5

simplify

30=32−5

Simplify

30=27

There is no solution

3 0
3 years ago
Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. Not
VMariaS [17]
Correct Answer: 
C option: 6 feet

Solution:
Since <span>Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.

Let the depth of pool is x feet. So we can write:

Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
</span>18:4=27:x \\  \\ &#10; \frac{18}{4} = \frac{27}{x} \\  \\ &#10;x=27* \frac{4}{18}  \\  \\ &#10;x=6
<span>
This means the depth of pool should be 6 feet if </span><span>Yolanda wants to keep the pool in proportion to the model.</span>
7 0
3 years ago
Read 3 more answers
The larger of two positive integers is three more than the
katrin2010 [14]

Answer:

y=x+4

Step-by-step explanation:

So, let's start with the fact that we have two numbers. Let's call one of them "x" and the other one "y." Let's also assume that "y" is the larger number and "x" is the smaller number.

 

We know that both of them added together (the sum) gives us 74. Mathematically, that means:

 

x+y=74.

 

We also know that the larger number ("y") is 4 more than the smaller number ("x"). Another way to say this is, if you have the smaller number and add 4 more to it, you'll end up with the larger number. Mathematically, this means:

 

y=x+4

 

Since we know that y=x+4, we can put "x+4" into the first equation for "y", giving us:

 

x+(x+4)=74

 

Simplifying gives us:

 

2x+4=74

   -4   -4

  ---------

2x=70

---  ---

2    2

 

 

x=35

 

Since we now know that x=35, and we know that y=x+4, we now know that:

 

y=(35)+4

y=39

 

Now that we have both of the numbers, we should check our work to ensure it's correct:

 

Does 39+35=74?      Yes it does.

 

Is 39 (the larger of the two numbers) four more than the smallest number (35)?    Yes it is.

3 0
3 years ago
2 lines intersect. A line with points A, B, D intersects a line with points E, B, C at point B, forming 4 angles. In the diagram
solmaris [256]

Answer:

Its B and D

Step-by-step explanation:

7 0
3 years ago
Holly and Jimmy went shopping. For every $2
laila [671]
You can write the amount that they spent individually in a ratio where:

Holly : Jimmy

2 : 5

The total of this ratio would be 2+5 = $7.


To find the scale factor multiplier for the base ratio of 2:5:

35/7 = 5


Multiply both sides of the ratio by 5.

Holly : Jimmy

2 x5 : 5 x5

10 : 25

You can see that the total of this ratio is now $35, where Jimmy spent $25.
5 0
2 years ago
Read 2 more answers
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