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Vitek1552 [10]
3 years ago
10

What is this answer?

Mathematics
1 answer:
gayaneshka [121]3 years ago
5 0

Answer:

3n^2 AKA C would be the answer.

Step-by-step explanation:

Reason: any number 1-9 is a mononomial number. Coefficient of three just means to add a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

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The exact average of a set of six test scores is 92. Five of these scores are 90, 98, 96, 94, and 85. What is the other test sco
nordsb [41]

Answer:

89

Step-by-step explanation:

92 = (90 + 98 + 96+ 94 + 85 + x )/6

92*6 = 90 + 98 + 96+ 94 + 85 + x

552 - (90 + 98 + 96+ 94 + 85) = x

x = 89

8 0
3 years ago
2 tan 30°<br>II<br>1 + tan- 300​
shusha [124]

Question:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}

Answer:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}= sin(60^{\circ})

Step-by-step explanation:

Given

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}

Required

Simplify

In trigonometry:

tan(30^{\circ}) = \frac{1}{\sqrt{3}}

So, the expression becomes:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{2 * \frac{1}{\sqrt{3}}}{1 + (\frac{1}{\sqrt{3}})^2}

Simplify the denominator

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{2 * \frac{1}{\sqrt{3}}}{1 + \frac{1}{3}}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{\frac{2}{\sqrt{3}}}{1 + \frac{1}{3}}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{\frac{2}{\sqrt{3}}}{ \frac{3+1}{3}}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{\frac{2}{\sqrt{3}}}{ \frac{4}{3}}

Express the fraction as:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}= \frac{2}{\sqrt 3} / \frac{4}{3}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{2}{\sqrt 3} * \frac{3}{4}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{1}{\sqrt 3} * \frac{3}{2}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{3}{2\sqrt 3}

Rationalize

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{3}{2\sqrt 3} * \frac{\sqrt{3}}{\sqrt{3}}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{3\sqrt{3}}{2* 3}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{\sqrt{3}}{2}

In trigonometry:

sin(60^{\circ}) =  \frac{\sqrt{3}}{2}

Hence:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}= sin(60^{\circ})

3 0
3 years ago
John bought a full 1 liter bottle of soda. He drank half of it. How many milliliters of soda does John have left?
sergejj [24]

Answer:

500 ml

Step-by-step explanation:

1 liter = 1 000 ml

1 / 2 liters = 1000 ml /2 = 500 ml

1000ml - 500 ml = <u>500 ml</u>

5 0
3 years ago
PLEASE HELP ME!!! find the coordinates of the circumcenter of ABC. A(0,5), B(-4,5), C(-4,-3)
blondinia [14]
If you sketch the triangle you will see it is a right triangle with B being the vertex for the right angle. the orthocenter is the intercept of the three altitudes. for a right triangle, the orthocenter is the vertex where the right angle is.so the answer for this question is (-4,5)

6 0
3 years ago
Anyone know how to do this ?
Klio2033 [76]

Answer:

( 3 / 4) * λ = - 1 - - > λ = - ( 4 / 3)

y = - ( 4 / 3) * x + 6

8 0
2 years ago
Read 2 more answers
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