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shtirl [24]
3 years ago
15

If the sin of angle x is 4 over 5 and the triangle was dilated to be two times as big as the original, what would be the value o

f the sin of x for the dilated triangle? Hint—Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces. (4 points)
Mathematics
1 answer:
beks73 [17]3 years ago
4 0

Answer:

Sin of x does not change

Step-by-step explanation:

Whenever a triangle is dilated, the angle remains the same as well as the ratio for sides of triangle. For smshapes with dimensions, when shapes are dilated the dimensions has increment with common factor.

From trigonometry,

Sin(x)=opposite/hypotenose

Where x=4/5

Sin(4/5)= opposite/hypotenose

But we were given the scale factor of 2 which means the dilation is to two times big.

Then we have

Sin(x)=(2×opposite)/(2×hypotenose)

Then,if we divide by 2 the numerator and denominator we still have

Sin(x)=opposite/hypotenose

Which means the two in numerator and denominator is cancelled out.

Then we still have the same sin of x. as sin(4/5)

Hence,Sin of x does not change

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Debora [2.8K]

Answer:

x>-\frac{11}{7}

Step-by-step explanation:

<u>Step 1:  Distribute</u>

<u />-\frac{5}{4} (8x+4)

(-\frac{5}{4} *8x)+(-\frac{5}{4} *4)

-\frac{40x}{4}-\frac{20}{4}

-10x-5

<u>Step 2:  Add 10x to both sides</u>

<u />-10x-5\mathbf{+10x}

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<u>Step 3:  Subtract 6 from both sides</u>

<u />-5\mathbf{-6}

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<u>Step 4:  Divide both sides by 7</u>

<u />-11\mathbf{/7}

x>-\frac{11}{7}

Answer:  x>-\frac{11}{7}

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3 years ago
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What is the GCF of 525, 135, 750
Ede4ka [16]

Answer:

75.

Step-by-step explanation:

The GCF, or Greatest Common Factor, of 525, 135, and 750 is 75, and how we know this is to do some simple math.

Take all the numbers, simply factor each value first and then we choose all the copies of factors and multiply them.

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2 years ago
Simplest form for 10 sec 1 min
Mademuasel [1]

Answer:

70 seconds

I think that's what you are looking for?

3 0
3 years ago
Does 2, 5, and 7 make a right triangle
MakcuM [25]

Answer:  No, we don't have a right triangle

==========================================================

Explanation:

If a triangle with sides a,b,c makes the equation a^2+b^2 = c^2 true, where c is the longest side, then this triangle is a right triangle. This is the converse of the pythagorean theorem.

Here we have a = 2, b = 5 and c = 7.

So...

a^2+b^2 = c^2

2^2+5^2 = 7^2

4+25 = 49

29 = 49

The last equation is false, so the first equation is false for those a,b,c values. Therefore, we do <u>not</u> have a right triangle.

------------

In contrast, consider the classic 3-4-5 right triangle

a = 3, b = 4 and c = 5 would make a^2+b^2 = c^2 true because 3^2+4^2 = 5^2 is a true equation (both sides lead to 25).

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3 years ago
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