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shutvik [7]
3 years ago
13

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

Mathematics
2 answers:
weqwewe [10]3 years ago
8 0

Answer:

it's 38

Step-by-step explanation:

Mamont248 [21]3 years ago
4 0

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

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3 years ago
A simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and
Brrunno [24]

Answer:

.b. It is one‐half as large as when n = 100.

Step-by-step explanation:

Given that a  simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and a standard deviation of 3 hours.

i.e. s = 0.3

we obtain se of sample by dividing std devitation by the square root of sample size

i.e. s= \frac{3}{\sqrt{n} }

when n =100 this = 0.3 and

when n =400 this equals 0.15

We find that when sample size is four times as large as original, std deviation becomes 1/2 of the original

Correction option is

.b. It is one‐half as large as when n = 100.

7 0
3 years ago
Martin has a vegetable garden that is 8 feet long and 5 feet wide. Next year, Martin wants to increase both the length and width
KatRina [158]

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4 0
3 years ago
Find the slope of the line which goes through the given points.<br> d<br> A(2,8) and B(2,6)
KATRIN_1 [288]

Answer:

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Step-by-step explanation:

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Hope this helps!

7 0
3 years ago
Read 2 more answers
What is the justification for each step in solving the inequality?
alekssr [168]
HELLO  ANNA!!

Given inequality
=> −2(x+1)≥3x+8
=>
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now multiply with - on both sides.

As we know now sign will change
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Now divide by 5 on both sides
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HOPE IT HELPED YOU.
4 0
3 years ago
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