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2 years ago

PLEASE HELP ASAP PLEASE

Mathematics

1 answer:

Vesnalui [34]2 years ago

7 0

Answer:

t = (q - r) / rs

Step-by-step explanation:

Right now you have q=rst+r so if you want to find t you must move the variables around. Like this:

q=rst+r (or r+rst)

so so get rid of the r first

like this: (q-r)=rst

divide by rs to find t

so t=(q-r)/rs

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Floral designers often create arrangements where the flower height to container ratio is 5 to 3. A certain museum wishes to crea

aleksandr82 [10.1K]

Set up a proportion of 5 over 3 and then x over 17
Cross multiply to get 17x=85
Then divide by 17
To get x to equal 28.33.
x=total height.

8 0

3 years ago

Two traffic lights operate independently. Your probability of being stopped at the first one is 0.4 and your probability of bein

Rus_ich [418]

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

There are three possibilities we need to consider:

Being stopped at both lights

Being stopped at neither light

Being stopped at exactly one light

The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.

Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28

The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

3+2(2p+4t) some one plz HELP ME.

makkiz [27]

Answer:

3+4p+8t

Step-by-step explanation:

We have been given an expression:

3+2(2p+4t)

We will simplify the equation:

Firstly, we will open the parenthesis by multiplying it with the 2 given outside of the parenthesis we get:

3+4p+8t

Since, we have two variables so it can not be further solved therefore,

This is the maximum simplification of the given expression.

3 0

3 years ago

working together it takes two computers 10 minutes to send out a company's email. If it takes the slower computer 30 minutes to

allochka39001 [22]

Answer: it will take the faster computer 15 minutes to do the job on its own.

Step-by-step explanation:

Let t represent the number of minutes it will take the faster computer to do the job on its own. It means that the rate at which it does the job per minute is 1/t

If it takes the slower computer 30 minutes to do the job on its own. It means that the rate at which it does the job on its own per minute is 1/30

By working together, they would work simultaneously and their individual rates are additive. Working together it takes two computers 10 minutes to send out a company's email. It means that the rate at which both computers work together per minute is 1/10 Therefore,

1/t + 1/30 = 1/10

Cross multiplying by 30x, it becomes

3x = x + 30

3x - x = 30

2x = 30

x = 30/2

x = 15 minutes

5 0

2 years ago

An aircraft on a reconnaissance mission takes off from its home base and flies 550 miles at a bearing of S 46° E to a location i

Alexandra [31]

<h3>Answer: D) 1692 miles</h3>

============================================

Explanation:

A diagram is very handy for this type of problem. Refer to the diagram below (attached image). Here are the steps used to form the diagram

Plot point A and make that the home base. Plot point D directly south of point A. I'm skipping B and C because those will be used to form the triangle later.
Imagine you are standing at point A and looking south at point D. Turn 46 degrees toward the east direction (this is what the notation "bearing of S 46° E" means). Then move 550 miles from A to land on point B. This is the location where the plane makes its first turn.
Plot the points E and F, which are north and south of point B.
Imagine we are at point B and looking directly south at point F. Turn 55 degrees toward the west, which is due to the "S 55° W" and then move 483 miles to arrive at point C. This is the plane's location where it turns around to go back to home base.

The diagram below shows all of this visually summarized. We have the segments

AB = 550 miles
BC = 483 miles
AC = x miles

And we have these angles

Angle DAB = 46 degrees and Angle ABE = 46 degrees (blue)
Angle ABC = 79 degrees (red)
Angle ACB = 55 degrees and Angle FBC = 55 degrees (green)

Angle ABC comes from the fact that the blue and green angles add with the red angle to get 180. So we basically need to solve 46+y+55 = 180 which leads to y = 79.

------------------------------

Once the diagram is set up, we'll use the law of cosines to find x.

Focus on triangle ABC. Ignore points D,E,F. Ignore any extra lines as well.

The interior angles of triangle ABC are

A = 46 degrees
B = 79 degrees
C = 55 degrees

The sides opposite the angles are

a = 483 (opposite angle A)
b = x (opposite angle B)
c = 550 (opposite angle C)

Now we can apply the law of cosines

b^2 = a^2 + c^2 - 2*a*c*cos(B)

x^2 = 483^2 + 550^2 - 2*483*550*cos(79)

x^2 = 434412.180756441

x = sqrt(434412.180756441)

x = 659.099522649229

x = 659

Side AC, or CA, is roughly 659 miles long.

------------

To find the total distance the plane travels, we add up the three sides of the triangle (ie we find the perimeter)

Distance Traveled = AB + BC + CA

Distance Traveled = 550 + 483 + 659

Distance Traveled = 1692 miles

3 0

2 years ago