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Colt1911 [192]
3 years ago
7

What is the value of x?

Mathematics
1 answer:
Radda [10]3 years ago
7 0

Answer:

30

Step-by-step explanation:

Applying Pythagoras theorem

Hypotenuse^2=base^2+perp^2

Where base=16

And hypotenuse=34

34^2=16^2+perp^2

1156-256=perp^2

Perp^2=900

Taking square root on both sides

Perpendicular=30

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Find the value of each expression. Show work. a) (4 + 3*2)= (10 -5) b) 3+ (6-2) x 32
andrey2020 [161]
A= 9 b= 224
Just add them to find ur anwser make sure to get these
6 0
3 years ago
Car 6 truck 10 suv 14 minivan 15 at this rate if 150 vehicles passed Luann how many more mini vans than cars would pass her
inessss [21]

Answer:

number of minivans more than number of car =  30

Step-by-step explanation:

we have the rate of number of vehicles passed in one unit of time

Number of cars = 6

Number of trucks = 10

Number of SUV = 14

and number of minivan = 15

Total vehicle passed in one unit of time = 6+10+14+15 = 45 vehicle per unit time.

we can see the ratio of vehicles with each other can be given as:

6x+10x+14x+15x = 150  

Now we can solve for x to get the number of cars and minivans in 145 vehicles.

or 45x = 150

or x = 150÷45 = \frac{10}{3}

so, number of cars in 150 vehicles = 6x = 6×\frac{10}{3} = 20 cars

number of minivan in 150 vehicles = 15x = 15×\frac{10}{3} = 50  minivans.

So, number of minivans more than number of car = 50 - 20 = 30

6 0
3 years ago
What is 3 square root of 125x12?
AlekseyPX

Hi!

Square roots where the things under the root are multiplied (for example \sqrt{xy}) can be split up into \sqrt{x} * \sqrt{y}.

That's what I'm going to do in this case. I'm going to split \sqrt[3]{125x^{12}} into \sqrt[3]{125} * \sqrt[3]{x^{12}}

Now, the cube root of 125 is 5, because 5 * 5 * 5 = 125, and that is the definition of a cube root. (What multiplied 3 times by itself is equal to what's under the root)

Now to look at what the cube root of x^{12} is.

A cube root can be rewritten as x^{\frac{1}{3}}, same as a square root can be rewritten to x^{\frac{1}{2}}.

So if you take the cube root of x^12, you can change it to:

(x^{12} )^{1/3}

If you have a case like this, then you can multiply the two powers (in this case 12 and 1/3) to simplify it. 12 * 1/3 = 4, so you get x^4.

Now putting the two together, you get:

5x^{4} as your answer.

Hope this helped!

3 0
3 years ago
Read 2 more answers
A rectangle with an area of 81 cm² has a length that is 3 times the width. How long is the width of the rectangle? Round to the
LenaWriter [7]

Answer:

W ≈ 5.2 cm

Step-by-step explanation:

Represent the length and width by L and W respectively.

Then L * W = 81 cm^2, and L = 3W.

Substituting 3W for L in the first equation, we get:

3W * W - 81 = 0, or 3W^2 - 81 = 0.

To make it easier to find the final answer, rewrite 3W^2 - 81 = 0 as

            81

W^2 = ------- = 27

              3

Then W (the width) is the positive square root of 27, or W ≈ 5.2 cm

3 0
3 years ago
Read 2 more answers
What is the solution set of the inequality below?
bogdanovich [222]

Your answer is C

Step-by-step explanation:

Multiply -33 x 11

4 0
2 years ago
Read 2 more answers
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