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love history [14]
3 years ago
7

In right triangle PQR, tanP =sqrt 3/2. Find the length of the hypotenuse of triangle PQR.

Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0
\sqrt{ \sqrt{3}^2+2^2} = \sqrt{3+4} = \sqrt{7}
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Susan's cat weighs 3 pounds. Susan's dog weighs 3 1/4 times as much as her cat. How much does Susan's dog weigh?
Marina CMI [18]

Answer:

Susan's dog weighs 9.75 pounds

Step-by-step explanation:

Given

The weight of Susan's cat = 3 pounds

Susan's dog weighs 3 1/4 or 13/4 times as much as her cat.

To determine

The weight of Susan's dog = ?

As the weight of Susan's cat = 3 pounds

Given that Susan's dog weighs 3 1/4 or 13/4 times as much as her cat. so

The weight of Susan's dog = 13/4 of 3

                                             = 13/4 × 3

                                              = 39/4

                                               = 9.75 pounds

Therefore, Susan's dog weighs 9.75 pounds

3 0
3 years ago
The table of values below represents a linear function and shows the weight of a kitten as it has grown. What is the output for
Kipish [7]
The answer is a because casts
3 0
3 years ago
A company fills a warehouse will two types of goods A and B . they both come in tall boxes which cannot be stocked. one box of A
inessss [21]

Answer:

(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20

(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20

Step-by-step explanation:

There are two inequalities in mind, the first of the surface and the second of the price. Always bearing in mind that the minimum are 50 of A and 20 of B.

The first

A occupies 1/2 m and B occupies 1/2 m of surface, and the limit is 100 m of surface. Thus:

(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20

The second:

A costs 5,000 and B costs 30,000, and the limit is 1,500,000. Therefore:

(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20

5 0
3 years ago
The sum of two numbers is 35 and the difference is 11. What are the numbers?
GenaCL600 [577]

Answer:

x=23

y=12

Step-by-step explanation:

Start by making two separate equations. One for each answer it gives you. So you know you will have two different numbers, therefore you need two different variables. I'm going to use x and y. The first part of the sentence says that the sum is 35 meaning we are going to add two numbers to get 35.

x+y=35

The second part says the difference of two numbers is 11, which means you are subtracting two numbers to get 11.

x-y=11

Now you can either decide to you substitution or elimination. I prefer elimination, so thats what I will be using. To do this you need to line up both equations.

x+y=35

x-y=11    Now you can add straight down. x+x=2x; y-y=0; 35+11=46. Write out what you have left

2x+0=46  You do not have to write the zero in the equation, I did so that you could see that the y's cancell each other.

It can also look like this 2x=46. Now you need to divide by 2 to get x by itself.

x=23

To find y you take the 23 and plug it for x in one of the equations you started with. I'm going to use the (x+y=35). No matter whihc you use your answer will be the same.

23+y=35 Subtract the 23 over to get y alone.

-23    -23

y=12

8 0
3 years ago
Why is this even a question<br> x + y - a = t<br> help
garik1379 [7]

Answer:

x+y=t+a

Step-by-step explanation:

its seems to be the unwanted question

8 0
3 years ago
Read 2 more answers
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