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Alex777 [14]
3 years ago
14

If I have right angle triangle with a hypotenuse of 12meters and an angle of 60degrees what is the length

Mathematics
1 answer:
ad-work [718]3 years ago
3 0
There are 2 basic trangles used in SAT,
45-45-90
30-60-90

if you look in the attachment you will know the relationship between each so

with a  30-60-90 triangle which you have
hypotonuse=2x
hypotonuse=12
2x=12
divide by 2
x=6

I'm not sure about the  length, but I'm assuming you mean the longer side

the measure of each leg is 6 and 6 times√3




the lonnger one is 6√3
the answer is 6√3 meters

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Write an expression for the sequence of operations described below.
Hatshy [7]

The expression for the sequence of operations described below is d/3 + 5

<h3>Expressions and equations:</h3>

  • Let the unknown value be "d"

  • d divided by 3 is expressed as d/3

Adding 5 to d/3 to get the expression below;

g(d) = d/3 + 5

Hence the expression for the sequence of operations described below is d/3 + 5

Learn more on expressions here: brainly.com/question/29114

3 0
3 years ago
Jake ate 1/6 of the chocolates the Jill came ate 1/5 of the remaining then mike ate 1/4 of the remaining then Sara ate 1/3 of th
ahrayia [7]

Answer:

  4 chocolates

Step-by-step explanation:

Before Luke started eating, there were 8. This is 2/3 of what Sara had to start with, so she started with 12. That is 3/4 of what Mike started with, so he started with 16.

Jill left 4/5 of what she started with, so she must have started with 20. Jake ate 1/6 and left 5/6, so 20 is 5 times the number Jake ate.

Jake ate 4 chocolates.

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Jill ate 4; Mike ate 4; Sara ate 4; and Luke ate 4.

3 0
4 years ago
7-18 use part 1 of the fundamental theorem of calculus to find the derivative of the function.
blondinia [14]

\displaystyle h(x)=\int\limits_{1}^{\sqrt{x}}~\cfrac{z^2}{z^4+1}dz~\hspace{10em}\cfrac{dh}{du}\cdot \stackrel{chain~rule}{\cfrac{du}{dx}\implies \cfrac{dh}{dx}} \\\\[-0.35em] ~\dotfill\\\\ u=\sqrt{x}\implies \cfrac{du}{dx}=\cfrac{1}{2\sqrt{x}} \\\\[-0.35em] ~\dotfill

\cfrac{dh}{dx}\implies \displaystyle \cfrac{d}{du}\left[ \int\limits_{1}^{u}~\cfrac{z^2}{z^4+1}dz \right]\cdot \cfrac{1}{2\sqrt{x}}\implies \left[ \cfrac{u^2}{u^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}} \\\\\\ \stackrel{substituting~back}{\left[ \cfrac{(\sqrt{x})^2}{(\sqrt{x})^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}}}\implies \cfrac{x}{x^2+1}\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{\sqrt{x}}{2x^2+2}

7 0
2 years ago
I need Help please!
kirill115 [55]

Answer:

Use the exponential decay model with a decay factor of 0.5.

Step-by-step explanation:

3 0
2 years ago
Solve using elimination.<br> 5x + 7y = -6<br> 4x + 7y = -9
Ede4ka [16]
Answer:

Simplifying
5x + 7y = -6

Solving
5x + 7y = -6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7y' to each side of the equation.
5x + 7y + -7y = -6 + -7y

Combine like terms: 7y + -7y = 0
5x + 0 = -6 + -7y
5x = -6 + -7y

Divide each side by '5'.
x = -1.2 + -1.4y

Simplifying
x = -1.2 + -1.4y
__________________________________

Simplifying
4x + 7y = -9

Solving
4x + 7y = -9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7y' to each side of the equation.
4x + 7y + -7y = -9 + -7y

Combine like terms: 7y + -7y = 0
4x + 0 = -9 + -7y
4x = -9 + -7y

Divide each side by '4'.
x = -2.25 + -1.75y

Simplifying
x = -2.25 + -1.75y
6 0
3 years ago
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