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klio [65]
2 years ago
15

Apply the distributive property to factor out the greatest common factors 9 +15

Mathematics
1 answer:
aleksley [76]2 years ago
3 0

Answer:

3( 3+5)

Step-by-step explanation:

9 +15

Rewriting 9 as 3*3  and 15 * 3*5

3*3 + 3*5

Factor out 3

3( 3+5)

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Solve the equation for 0° ≤ x ≤ 90°. Round to the nearest degree. 8cotθ + 3 = 5
galina1969 [7]

<u><em>Answer:</em></u>

θ = 76°

<u><em>Explanation:</em></u>

<u>The given equation is:</u>

8 cotθ + 3 = 5

8 cotθ = 5-3

8 cotθ = 2

cot θ = \frac{2}{8} = \frac{1}{4}

<u>Now, we find θ</u>

We know that the cot function is the inverse of the tan function.

The tan of an angle is positive in the first and third quadrants, therefore, the cot will be <u>positive</u> in the <u>first and third quadrants</u> as well

<u>Now, we are given the condition:</u>

0° ≤ x ≤ 90°

<u>Therefore, we know for sure that our angle is in the first quadrant</u>

θ = cot⁻¹(\frac{1}{4}) = 75.96° = 76° to the nearest degree

Hope this helps :)

5 0
3 years ago
Fractions: three oil tankers together contain 37 5/7 litres of oil. If two tankers have 11 3/14 litres and 12 3/7 litres of oil.
ale4655 [162]

Step-by-step explanation:

It is given that, three oil tankers together contain 37 5/7 litres of oil.

Total volume of oil is \dfrac{264}{7}\ L

If two tankers have 11 3/14 litres and 12 3/7 litres of oil.

Oil in first tanker is \dfrac{157}{14}\ L

Oil in second tanker is \dfrac{87}{7}\ L

Oil in first and second tanker is :

\dfrac{157}{14}\ L+\dfrac{87}{7}\ L=\dfrac{331}{14}\ L

Noo, oil in the third tanker = total volume - (Oil in first tanker + second tanker )

=\dfrac{264}{7}\ L-\dfrac{331}{14}\ L\\\\=\dfrac{197}{14}\ L

Hence, this is the required solution.

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Step-by-step explanation:

in pic

<u><em>(Credits: Symbolab)</em></u>

<u><em></em></u>

<u><em></em></u>

<u><em></em></u>

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6 0
2 years ago
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What is the lateral area of the triangular pyramid that can be formed from this net? A net of a triangular pyramid. The area of
azamat

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Step-by-step explanation:

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