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4 years ago

What is the measure of the angle in standard position?

Mathematics

1 answer:

mars1129 [50]4 years ago

3 0

Answer:

Step-by-step explanation:

What's inside the set of parenthesis is a description of the angle in terms of cos and sin. This says that the angle has a cos of square root of 3 over 2, and a sin of negative 1 over 2.

The cos of this angle is the line directly horizontal ON the x axis, since cos is the same as x.

The sin of this angle is the line that would be there if you dropped an altitude from the arrow on the x line to the arrow on the other line.

The tangent ratio, being side opposite over side adjacent will give us the angle we need. Use the inverse tangent and enter in those values and you'll get that the angle is -30.

even easier than that, look at your unit circle to see where there is a cos, sin combination of those values. It will be located at -30 degrees, which is also 330 degrees.

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4 years ago

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Choose the correct simplification of the expression (2x2y6z5)(5x4y5z3).

erastovalidia [21]

Answer:

The correct option is 4.

Step-by-step explanation:

The given expression is

$(2x^2y^6z^5)(5x^4y^5z^3)$

Simplify the given expression.

$(2x^2y^6z^5)\times (5x^4y^5z^3)$

$(2\times 5)(x^2x^4)(y^6y^5)(z^5z^3)$

$10x^{2+4}y^{6+5}z^{5+3}$ $[\because x^mx^n=x^{m+n}]$

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Therefore correct option is 4.

8 0

3 years ago

Please help don’t get it

posledela

Answer:

Step-by-step explanation:

Whenever you are asked to find the number of square feet covered by something, you are finding an area. To find the area of Jason’s circle, you first need to figure out if you have been given the radius or the diameter. By definition, the diameter of a circle is the longest distance across the circle, so we know here that the diameter is 8 feet. This means that the radius is 4 feet. So...

A = π(4)2

= 16π

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5 0

4 years ago

(-4) (9)<br> -----------<br> (-6)

valkas [14]

6 or -36/-6 if it works

8 0

3 years ago

if the original quantity is 12 and the new quantity is 15, what is the percentage increase? The percent increase is _____%

sammy [17]

Answer:

25%

Step-by-step explanation:

Given data

original quantity =12

new quantity =15

% increase= new-original/original *100

% increase= 15-12/12 *100

% increase= 3/12 *100

% increase=0.25 *100

% increase=25%

hence the increase is 25%.

8 0

3 years ago