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3 years ago

In Triangle EFG,9 = 12 inches, e = 55 inches and Angle F=75º. Find the area of Triangle EFG, to the

Mathematics

1 answer:

Tresset [83]3 years ago

8 0

9514 1404 393

Answer:

319 in²

Step-by-step explanation:

The applicable area formula is ...

A = 1/2(g)(e)·sin(F)

A = 1/2·(12 in)(55 in)sin(75°) ≈ 319 in²

The area of the triangle is about 319 square inches.

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Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site

Ymorist [56]

Answer:

$L = 3.975$

Step-by-step explanation:

Given

See comment for data

Required

The lower limit 94% confidence interval

First, calculate the mean

$\bar x =\frac{\sum x}{n}$

$\bar x =\frac{0.9+10+0.9+8.7+4.8+2.6+1+13.3+9.5+8.9+8.9+4.6}{12}$

$\bar x =\frac{74.1}{12}$

$\bar x =6.175$

Next, calculate the standard deviation using:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}$

So, we have:

$\sigma = \sqrt{\frac{(0.9 - 6.175)^2 +(10- 6.175)^2 +.................+(8.9- 6.175)^2 +(4.6- 6.175)^2}{12}}$

$\sigma = \sqrt{\frac{197.2625}{12}}$

$\sigma = \sqrt{16.4385416667}$

$\sigma = 4.054$

For 94% interval, the z score is

$z = 1.88$

So, the margin of error (E) is:

$E = z * \frac{\sigma}{\sqrt n}$

$E = 1.88 * \frac{4.054}{\sqrt {12}}$

$E = 1.88 * \frac{4.054}{3.464}$

$E = 2.200$

The confidence interval of the true mean is:

$CI = (\bar x \± E)$

The lower limit (L) is:

$L = \bar x -E$

$L = 6.175 -2.200$

$L = 3.975$

and the upper limit (U) is

$U = \bar x + E$

$U = 6.175 + 2.200$

$U = 8.375$

5 0

3 years ago

A bucket is raised from a well by means of a rope which is wound round a wheel of diameter 77cm. Given that the bucket ascends i

VARVARA [1.3K]

Answer:

The wheel will make 40 revolutions.

Step-by-step explanation:

We are given;

Diameter = 77 cm = 0.77m

Radius = 0.77/2

Radius = 0.385 m

Speed = 1.1 m/s

time = 1min 28 sec = 88 sec

Now, we know that;

Distance = speed×time

Thus;

Distance = 1.1 × 88

Distance = 96.8 m

Also,

Number of revolution = distance/circumference

Number of revolutions = 96.8/(2 × π × 0.385)

Number of revolutions ≈ 40

4 0

3 years ago

Plz help me with this question plz help me as soon as possible plz ASAP

Elza [17]

Answer:

Step-by-step explanation:

$\frac{27}{45}=\frac{45}{x}$

$x=\frac{45^{2} }{27} =75$

6 0

3 years ago

Bike path A is 4 miles long. Bike path B is 7 miles long. If April biked a total of 37 miles, how many times did she bike each p

Sergeeva-Olga [200]

Bike path A will be a total of about 9.3 times, so 9, and bike path B will be about 5.3 times.

4 0

3 years ago

Read 2 more answers

What is the area of a flower pot that have the shape of a semi circle and its diameter 2.8cm?

Firdavs [7]

Step-by-step explanation:

The area of a circle = pi r^2

d = 2r Divide by 2 to get the radius

r = d/2

The diameter = 2.8 cm

r = d/2

r = 2.8/2

r = 1.4

The area of the circle = pi * r^1

The area of the circle = 3.14 * 1.4^2

The area of the circle = 6.1544

But you are working with a semic circle

The area of a semicircle is 1/2 that of a circle

Area of semicircle = 1/2 6.1544 = 3.0772 =3.08 when rounded

4 0

2 years ago