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2 years ago

Find 3 fractions that are equivalent to 3/8. explain your method

1 answer:

5 0

Hey Aarya!

If we `scale` both the numerator and denominator by the same value, then we can create other equivalent fractions. By scale I mean: Multiply both the top and bottom of the fraction by the same value.

So here is one we can try.
Let's multiply numerator and denominator by 3.
$\rm \frac38\cdot\frac33=\frac9{24}$
Yay we did it! We found another fraction which is equivalent to 3/8.

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In triangle ABC, a = 9, c = 5, and angle B = 120°. Find the measure of angle A to the nearest degree. Show your work.

slamgirl [31]

<u>Answer:</u>

Angle A = 39°

<u>Step-by-step explanation:</u>

We are given that there is a triangle ABC where a = 9, c = 5 and angle B = 120° and we are to find the measure of angle A.

But first we need to find the side b using the law of cosine:

$b^2 = a^2 + c^2- 2a*c*cos(120)$

$b^2 = 81 + 25 - 2*9*5*(-0.5)$

$b=\sqrt{151}$

Now finding angle A using law of cosine:

$cos(A) = \frac{b^2+c^2-a^2}{2b*c}$

$cos(A) = \frac{151+25-81}{2*12.29*5}$

$cos A=0.7730$

$A=39.38$

Therefore, the measure of angle A = 39°.

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2 years ago

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morpeh [17]

Answer:350

Step-by-step explanation:

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3 years ago

X2 + 1/2x +__ = 2 + __

Brut [27]

Complete the Square:

$\frac{b}{2a}$ Plug your numbers in this function

$\frac{\frac{1}{2} }{2}$ You get this

That equals $\frac{1}{4}$

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3 years ago

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A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 9% vinegar, and the second brand co

pishuonlain [190]

Let the amount of the first brand be x, and let the amount of the second brand be y.
0.09x + 0.14y = 240 * 0.13 .................(1)
x + y = 240 ..............(2)
y = 240 - x .......................(3)
Plugging the value for y from equation (3) into equation (1), we get:
$0.09x+0.14(240-x)=240\times0.13$ ...............(4)
Equation (4) simplifies to:
-0.05x = -2.4
giving the value for the required amount of 9% vinegar as 48 ml and the required amount of 14% vinegar as 240 - 48 = 192 ml.

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2 years ago

A company is replacing cables with fiber optic lines in rectangular casing BCDE. I DE - 3 cm and BE - 3.5 cm, what is the smalle

fredd [130]

Answer:

Step-by-step explanation:

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3 years ago