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2 years ago

SOVing Problems With Right Triangles: Mastery Test

Mathematics

1 answer:

Serhud [2]2 years ago

7 0

Answer:

13.86 ft

Step-by-step explanation:

This can be represented by a right angled triangle with a hypotenuse of 16 feet and an angle of 60° between the hypotenuse side and the adjacent side.

The height of the pole is the side opposite to the angle 60°.

The trigonometric function states that for a right angled triangle:

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite/ adjacent

To find the height of the flagpole, we use:

sin(60) = height / 16

height = 16 * sin(60)

height = 13.86 ft

The person with the incorrect reasoning for the height of the flagpole is Charlie when he should have utilized the sin function. Because he incorrectly selected the function.

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Triangle XYZ is rotated to create the image triangle X'Y'Z'.

Solnce55 [7]

Answer:

The correct option is;

R0, 180°

Step-by-step explanation:

The coordinates of ΔXYZ are given as follows;

X(-2, 2), Y(1, 2), Z(0, 4)

The coordinates of ΔX'Y'Z' are given as follows;

X'(2, -2), Y'(-1, -1), Z'(0, -4)

Whereby, the coordinates of the point Y' is (-1, -2), we have the rule that describe the transformation of ΔXYZ to ΔX'Y'Z', given as follows

Coordinates of the preimage = (x, y)

Coordinates of the image = (-x, -y)

Which is in accordance with the transformation by rotation 180° about the origin.

7 0

2 years ago

A sociologist is studying the social media habits of high school students in a school district. The sociologist wants to estimat

Sindrei [870]

Answer:

A one-sample t-interval for a population mean

Step-by-step explanation:

As the question is "How many minutes per day, on average, do you spend visiting social media sites?", the answer will be in a numerical form (number of hours, positive integer or real number).

As this is not a proportion, the option "A one-sample t-interval for a population mean" is discarded.

As the study does not defined another variable to compare in pairs, it is not a matched-pairs test. Option "A matched-pairs t -interval for a mean difference" discarded.

There are not two means in the study, so there is no "difference between means" variable. Options "A two-sample z-interval for a difference between proportions" and "A two-sample t-interval for a difference between means".

This should be a one-sample t-interval for a population mean, as there is only one sample, one population mean and the population standard deviation is not known.

3 0

2 years ago

The lines –2y = – 3/5 and y = 4x + 5/3 are

MrRa [10]

Answer:

c.) neither

Step-by-step explanation:

-2y = -3/5 does not have an x value for a slope to contrast with y = 4x + 5/3

5 0

2 years ago

Simplify (2.1m - 5.2) + (3.7m - 6.4)

Troyanec [42]

Answer:

5.8m-11.6m

Step-by-step explanation:

7 0

2 years ago

Suki is making lemonade to bring to the beach. She has two containers. One holds one gallon and the other holds 7 quarts. If she

Alex73 [517]

Answer:

40 cups

Step-by-step explanation:

7 0

2 years ago