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vampirchik [111]

3 years ago

5

Sitting in your sailboat looking at the horizon, you see a lighthouse 500 feet away. Looking up at a , you see the light at the

top of the lighthouse. How far off the ground is the light in the lighthouse? Round your answer to the nearest tenth.

1 answer:

lana66690 [7]3 years ago

8 0

How tall is the lighthouse

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Help please!! Stuck on this question!! ∠ABC is adjacent to ∠CBD. If the m∠ABC=4x+23, m∠CBD=6x+7, and m∠ABD=130°, what is the mea

Ulleksa [173]

Answer:

63 degrees

Step-by-step explanation:

add 4x + 23 and 6x + 7, then equal that to 130. When you find x, plug it into 4x+23 and get 63.

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3 years ago

Tiffany wants to illustrate the homework times she and some of her friends spent one night on one subject. Her goal is to show t

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3 years ago

Read 2 more answers

A local company makes a candy that is supposed to weigh 1.00 ounces. A random sample of 25 pieces of candy produces a mean of 0.

AysviL [449]

Answer:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\bar X= 0.996$ the sample mean

$s=0.004$ the sample deviation

$n =25$ the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

We can use as estimator of the real population deviation the sample deviation for this case $\hat \sigma = s$ / The critical value for 99% of confidence interval is given by $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

6 0

3 years ago

What re linear angles

Evgen [1.6K]

Answer:

In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other. The linear pair of angles are always supplementary as they form on a straight line. In other words, the sum of two angles in a linear pair is always 180 degrees.

Step-by-step explanation:

I HOPE THIS HELPS

4 0

2 years ago

Earth revolves around the Sun in 365 days, but the planet Mercury does so in only 88 days. Compared to Earth, how many more comp

Elena L [17]

Answer:

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

Step-by-step explanation:

<u>Earth</u> takes 365 days to make a complete revolution.

we can say that the rotational speed of Earth is $\dfrac{1}{365}\frac{\text{rev}}{\text{day}}$

so, in a 1000 days how many revolutions will Earth have made?

$\dfrac{1}{365}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})$

see that the 'day's cancel out. Simply multiply the two numbers!

$2.739\text{rev}$

<u>Next, do the same for Mercury</u>

we can say that the rotational speed of Mercury is $\dfrac{1}{88}\frac{\text{rev}}{\text{day}}$

as it completes 1 revolution in 88 days.

so, in a 1000 days how many revolutions will Mercury have made?

$\dfrac{1}{88}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})$

multiplying by 1/88 by 1000 yields:

$11.363\text{rev}$

The Question is how many MORE complete revolutions will Mercury make in 1000 days?

We need to subtract the revolutions of Mercury with Earth to find how far ahead is Mercury from Earth

$11.363\text{rev} - 2.739\text{rev}$

$8.624\text{rev}$

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

5 0

3 years ago