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3 years ago

Evaluate 15cos60 Options are A) -0.5 B)7.5 C)-14.5

Mathematics

2 answers:

USPshnik [31]3 years ago

6 0

$\cos60^o=\dfrac{1}{2}\\\\\text{Therefore}\\\\15\cos60^o=15\cdot\dfrac{1}{2}=7.5\\\\Answer:\ \boxed{B)\ 7.5}$

Setler79 [48]3 years ago

3 0

Answer:

The correct option is B.

Step-by-step explanation:

The given expression is

$15\cos (60^{\circ})$

We already know that

$\cos (60^{\circ})=\frac{1}{2}$

Put this value in the given expression.

$15\cos (60^{\circ})=15\times \frac{1}{2}$

$15\cos (60^{\circ})=\frac{15}{2}$

$15\cos (60^{\circ})=7.5$

The value of given expression is 7.5. Therefore the correct option is B.

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3 years ago

Angle XYZ is rotated 270 degrees counterclockwise about the origin to form angle X’Y’Z’. Which statement shows the measure of an

8090 [49]

It is fine that you did not include the measure of angle XYZ in your posting.

This question is testing your knowledge of the four types of transformations.
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It the first three, the image after the transformation is congruent to the pre-image. It has the same size and shape. It is simply flipped, rotated, slid...

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3 years ago

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Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law

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Answer:

Slope of this line is given by:

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Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

$x_1=3, y_1=1.5\\x_2=5, y_2=2.5$

Change in x coordinate = $x_2-x_1=5-3 = 2$

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Change in y coordinate = $y_2-y_1=2.5-1.5 = 1$

i.e. total land mowed taken is 1 acre.

In other words, it takes 2 hours for Aaron to mow 1 acre of land.

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Rate of mowing lawn is the land mowed by Aaron in 1 hour.

Land mowed in 2 hours = 1 acre

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Here $y_2 - y_1 = 1$

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As per formula:

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So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

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