Aluate the expression for the given quantity.<br> -9.8t + 20t + 8 for t= -2,0, 3.5

A cloud directly above you is about 10° across. From the weather report, you know that the cloud is at an altitude of 2200 m. Ho

Fudgin [204]

The width of the cloud is 12500 meters wide.

The situation forms a right angle triangle.

<h3>What is a right angle triangle?</h3>

Right angle triangle are triangle that has one of its sides as 90 degrees. The sides can be found using trigonometric ratios.

Therefore, the altitude is the opposite side of the triangle formed. The width of the cloud is the adjacent side of the triangle formed.

tan 10 = opposite / adjacent

Therefore,

tan 10° = 2200 / a

cross multiply

a = 2200 / tan 10°

a = 2200 / 0.1763269807

a = 12500 meters

Therefore, the width of the cloud is 12500 meters .

learn more on right triangle here: brainly.com/question/2883415

5 0

2 years ago

If u have 8 points how many triangles can u make with

zlopas [31]

You can make 2 triangles

7 0

3 years ago

A bag has five red stones two green three blue six yellow and four purple stones what is the probability of choosing a yellow st

Y_Kistochka [10]

Answer:

Probability of picking yellow stones from the bag is 0.3.

Step-by-step explanation:

Given:

Number of red stone in bag = 5

Number of green stone in bag = 2

Number of blue stone in bag = 3

Number of yellow stone in bag = 6

Number of purple stone in bag = 4

We need to find the probability of choosing yellow stone from the bag.

Solution:

First we will find the Total number of stones in the bag.

Total number of stones in the bag is equal to sum of Number of red stone in bag ,Number of green stone in bag, Number of blue stone in bag, Number of yellow stone in bag and Number of purple stone in bag.

framing in equation form we get;

Total number of stones in the bag = $5+2+3+6+4 =20$

Now Probability of picking yellow stones from the bag can be calculated by dividing Number of yellow stone in bag by Total number of stones in the bag.

framing in equation form we get;

$P(Y) =\frac{6}{20}= 0.3$

Hence Probability of picking yellow stones from the bag is 0.3.

4 0

3 years ago

At a cross-country track meet, Alicia ran 8 mph for the first part of the race, then increased her speed to 12 mph for the secon

Murrr4er [49]

She ran 15 miles at a quicker speed based on the information supplied. See explanation below. This is a distance time problem.

<h3>What is the justification for the above result?</h3>

The distances between the two "half" of the race are our unknowns here. We must assign them to variables - Alicia ran x miles in the first half of the race and y miles in the second.

Since the race is 21 miles in total, x and y together must add up to 21.

Hence,

x + y = 21

The speeds at which she raced and the total time involved are then given; we can link this to the distances using the speed and distance equation

d = st, or t = d/s.

Because she completed in two hours, the hours spent running the first and second parts must sum up to two hours, or:

x/8 + y/12 = 2

Two equations are sufficient to solve for two unknowns. We can approach this by multiplying the second equation by the LCM, 24

3x + 2y = 48

And rearrange the first to get y = 21 - x, which we can plug into the above. This gives us:

3x + 2(21 - x) = 48

3x + 42 - 2x = 48

x = 6

Use y = 21 - x again:

y = 21 - (6) = 15.

Recall that the question asks how long she ran at the faster speed - this would be the second half of the race, which we've labeled y, so 15 miles. But first, let's make sure our solution works.

Obviously, 15 + 6 = 21, thus the overall distance is correct.

In terms of time, 6 miles at 8 mph takes

6/8 =.75 hours = 45 minutes, whereas

15 miles at 12 mph takes 15/12 = 1.25 hours = 75 minutes.

As stated in the question, the total time to complete would be.

75 + 1.25 = 2 hours.

As a result, this solution is correct, as Alicia ran 15 miles at a quicker rate.

Learn more about distance time:
brainly.com/question/4931057
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4 0

2 years ago

paige works at a deployment store and has a commission rate of 3 percent. her sales for the quarter were $4596. if she earns $50

Afina-wow [57]

Solution-

∵ she earns $50 per day and she worked 30 days in the quarter.

∴ Her total earning for this period = $(50×30) = $1500.

Also she earns 3% commission for her sales.

∴ Her total earning by commission =3% of $4596= $ (3×4596)/100

= $ 137.88

∴Total amount earned by Paige= $137.88+$1500

=$ 1637.88

5 0

3 years ago

Aluate the expression for the given quantity. -9.8t + 20t + 8 for t= -2,0, 3.5