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4 years ago

Find the value of x in the triangle shown below

Mathematics

1 answer:

nirvana33 [79]4 years ago

5 0

Answer:

x = sqrt(27)

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

3^2 + x^2 = 6^2

9 + x^2 = 36

Subtract 9 from each side

9-9 + x^2 = 36-9

x^2 = 27

Take the square root of each side

sqrt(x^2) = sqrt(27)

x = sqrt(27)

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Guy's y'all plzz answer this who knows about it...and also exam is near

Yanka [14]

Answer:

Step-by-step explanation:

Okay so I will explain the first one.

2 to the power of 4 = 2x2x2x2

2 to the power of 6 = 2x2x2x2x2x2

2 to the power of 4 = 2x2x2x2

2^4 = 16

2^6 = 64

When you are multiplying powers you add.

When you subtract you takeaway.

So you would do

4+6+4

= 14

Meaning 2 to the power of 14

2 $x^{14}$

So what is 2 to the power of 14.

You would do

2x2x2x2x2x2x2x2x2x2x2x2x2x2

The answer is 16384

You can also use a calculator

GOOD LUCK FOR YOUR TEST!

7 0

3 years ago

Marc has 45 books on his bookshelf, and Corinna has 61. If Marc buys 4 new books each month and Corinna buys 2 new books each mo

luda_lava [24]

Call x as the number of months that Marc and Corinna have the same number of book.
45 +4x= 61 +2x
4x- 2x= 61-45
2x= 16
x= 8

7 0

3 years ago

I need help! Can u help me?

liubo4ka [24]

From clue 3, we know that the three numbers average to 15. This means we add up the three numbers x,y and z and divide by 3 to get 15. So one equation is (x+y+z)/3 = 15 which turns into x+y+z = 45 after multiplying both sides by 3.

Let's say that x < y < z. In other words x is the smallest number, y is the middle and z is the largest. Based on clue 2, this would tell us that z = 8*x (since largest is 8 times the smallest). We can replace the 'z' in the equation x+y+z = 45 with 8x like so

x+y+z = 45

x+y+8x = 45 ... replace z with 8x

9x+y = 45

Now onto clue #1. The smallest number x is a prime number and it is 1/6 times the size of the middle number y. Put another way, the middle number y is 6 times larger than the smallest number. We have this equation y = 6*x

9x+y = 45

9x+6x = 45 ... replace ywith 6x

15x = 45

x = 45/15

x = 3 which is a prime number

Now that we know x = 3, we can use it to find y

y = 6*x = 6*3 = 18

and then use x = 3 to find z

z = 8*x = 8*3 = 24

Therefore the three mystery numbers are 3, 18, and 24. Note how these three values add to 3+18+24 = 45 which you then divide over 3 to get 45/3 = 15. So the average of the values 3, 18, 24 is the number 15. This helps confirm the answer.

4 0

3 years ago

19=-16+7a solve using algebra

Alekssandra [29.7K]

Photomath will give you full answer and work

5 0

3 years ago

Thisssss??????????????

adoni [48]

Answer:

Part A = 91.125in²

Part B = 8 boxes

Step-by-step explanation:

Work is underlined

Normal text = explanation

Hey There!

What we want to do to find how many supply boxes can fit inside of the larger box is find the volume of the larger box and divide that by the volume of the supply boxes.

To find the volume of the supply boxes:

We are told that the supply box is in the shape of a cube.

That being said we can find the volume by using this simple formula

$V=s^3$

where s = side length

The supply box has a side length of 4.5 so we just plug in 4.5 into the formula

$V=4.5^3\\4.5*4.5*4.5=91.125$

So we can conclude that the volume of the supply box is 91.125 square inches.

Now to find the volume of the larger box.

The larger box is in the shape of a rectangular prism.

The volume of a rectangular prism can be found by multiply the width by the length by the height.

The box has the following dimensions:

width = 18 in

height = 4.5 in

length = 9 in

This means that the volume = 9 * 4.5 * 18

9 * 4.5 = 40.5

40.5 * 18 = 729.

so the volume of the larger box is 729 square inches.

Now we want to find how many little boxes can fit inside the larger box.

Like stated before this can be done by dividing the volume of the little boxes by the volume of the larger box

so # of supply boxes that can fit inside of the larger box = $\frac{729}{91.125}$

Using a calculator: $\frac{729}{91.125} =8$

Hence, 8 smaller boxes can fit inside of the larger box

7 0

3 years ago