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gizmo_the_mogwai [7]
3 years ago
12

Carrie started at the southeast corner of

Mathematics
1 answer:
Marina CMI [18]3 years ago
3 0

Answer:

9600 sq. yards.

Step-by-step explanation:

Carrie walked north 240 yards, turned and walked west 80 yards, and then turned and  walked diagonally back to where she started.

Therefore, the path traced by Carrie is a right triangle with base and heights are 240 yards and 80 yards.

Now, the area of the triangle traced by Carrie while walking is

= \frac{1}{2}\times \textrm {Base}\times \textrm {Height}

= \frac{1}{2} \times 240 \times 80 = 9600 sq. yards. (Answer)

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In ΔEFG, the measure of ∠G=90°, EF = 38 feet, and FG = 30 feet. Find the measure of ∠F to the nearest degree.
Mamont248 [21]

Answer:

∠F = 42° to the nearest degree

Step-by-step explanation:

In this question, we are asked to calculate the value of the angle.

Kindly note that since one of the angles we are dealing with in the triangle is 90°, this means that the triangle is a right-angled triangle

Please check attachment for the diagrammatic representation of the triangle

From the diagram, we can identify that the EF is the hypotenuse and the length FG is the adjacent. Thus , the appropriate trigonometric identity to use is the cosine

mathematically;

Cosine of an angle = length of adjacent/length of hypotenuse

Cos F = \frac{30}{38}\\Cos F =  0.7895\\F = Cos^{-1} 0.7895\\

F = 42.07

∠F = 42° to the nearest degree

4 0
3 years ago
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3 years ago
ASAP: I need as soon as possible with this question I have taken a picture of. If you could tell me how to do it and the answer,
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Answer:

Step-by-step explanation:

The smallest zero is x=-7 with multiplicity of 1

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The largest zero is x=0 with the multiplicity of 7.

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