How to solve for the missing side useing the pythagorean theorem

Answer:

7/2 or 3.5 inches

Step-by-step explanation:

The volume of the rectangle=

length×width×height, so

V=1/2×2×7/2

V=1×7/2

V=7/2 cubic inches

Next, Volume of the cube=

side^3, or side×side×side

V=1/2×1/2×1/2

V=1/8 cubic inches

First question,

To find how many cubes with the side of 1/2 length that fir into the rectangular prism, take:

7/2÷1/8

=7/2×8

=28 cubes. As a result, there are 28 cubes that will fit into the prism

Second question,

The volume of the person is 7/2 cubic inches or 3.5 cubic inches. Hope it help!

Answer:

140.25$

Step-by-step explanation:hope this helps <3

Answer:

Step-by-step explanation: valero gas station gas cost 2 dollars. 55 per gallon

55 + 20

Answer: There are no like terms.

Answer:=−x^2+2x+7

Step-by-step explanation: Hope this help :D

Answer:

the answer is [1/5,36/5]

Answer:

5(x-1) = 17

5x - 5 = 17 (write equation in simpler terms)

add 5 on each side like this (5x = 17 + 5)

= 5x = 22 which results in 4.4

Answer:

The percentage error in her guess is 5%.

Step-by-step explanation:

60 - 57 = 3

3/60 = 0.05

Answer:

Step-by-step explanation:

I'm going to guess that the square  exponents are on the top y's   only?   then answer b) looks good

Answer:

b. y^2 = -12x

Step-by-step explanation:

The general form for  the given parabola is y^2 = -4ax where the focus is at (-a, 0). The focal width is 4a which in this case = 12.

Answer:

5.5 is the correct answer:)

Step-by-step explanation:

Hope this helped!!!

Answer:

2( 2x - y ) -4( x - y ) +3y

4x - 2y - 4x + 4y + 3y

-2y + 4y + 3y

-2y +7y

5y

9514 1404 393

Answer:

  $735

Step-by-step explanation:

We assume the cover needs to cover the pool only, not any extra area around the pool.

The cost is given per square foot, so to find the total cost, we need to know how many square feet the cover must cover. The cost will be found by multiplying the cost per square foot by the number of square feet.*

The dimensions of the pool are given as 35 ft by 70 ft. The pool area is the product of these dimensions.

  A = LW

  A = (70 ft)(35 ft) = 2450 ft²

Then the cost is ...

  C = ($0.30/ft²)(2450 ft²) = $735

The cost to buy a pool cover is $735.

__

* This is the same rule you use for any purchase. The total cost is the cost per item multiplied by the number of items. Here, each "item" is 1 square foot of pool cover.

Answer:

Step-by-step explanation:

h = -6[tex]t^{2}[/tex] +20t + 4

I will use calculus,  maybe that's not how you're supposed to do this

-12t +20 =0

12t = 20

t = 20 /12

t = 1 [tex]\frac{8}{12}[/tex]

t = 1 [tex]\frac{2}{3}[/tex]

there will be a max at  1.6666666666  seconds

-6*[tex]1.6666666666666^{2}[/tex]  + 20 * 1.6666666666  +4

= 16.666666666666 + 33.333333333333 + 4

= - 16[tex]\frac{2}{3}[/tex] + 33 [tex]\frac{1}{3}[/tex] + 4

= 20[tex]\frac{2}{3}[/tex]  feet max height ( not too high,  for a rocket)

time of flight:

0 = -6[tex]t^{2}[/tex] +20t + 4

use quadratic formula to find t

-20 +- sqrt [ [tex]20^{2}[/tex] - 4*(-6)*4 ] / 2*(-6)

-20 +- sqrt [400 + 96 ] / -12

-20 +- sqrt [496 ] / -12

-20 +- 22.27105 / -12

try the negative option 1st

-42.27105 / -12

3.522 seconds.     time of flight

when will the rocket be at 12' ? :

12 = -6[tex]t^{2}[/tex] +20t + 4

0 = -6[tex]t^{2}[/tex] +20t -8

use quadratic formula again to find t

-20 +- sqrt [ [tex]20^{2}[/tex] - 4*(-6)*(-8) ] / 2*(-6)

-20 +- sqrt [ 400 - 192 ] / -12

-20 +- sqrt [208 ] / -12

-20 - 14.4222 / -12

-34.4222 / -12

2.8685 seconds ( on the way down)

and

-20 + 14.4222 / -12

-5.578 / - 12

0.4648  seconds ( on the way up )

Answer:5

Step-by-step explanation:

Answer:

15/100 x 20 = 3

Step-by-step explanation:

15 percent of 20 is 3.

Consider 15 out of 100 since a percent is always considered out of hundred.

15

___ x 20 =

100

First thing is first, we ALWAYS have to find what the percent is of and its of 20 fruits.

So 15/100 x 20 would be your equation

we can simplify

15

___ x 20 ------> 1 =   15

100 -----> 5               ___ x 1 = 3

                                  5

To simplify we can divide by 20 on the denominator and the factor.

Answer:

Step-by-step explanation:

Rewrite this in standard quadratic equation form:  x^2 - 7x +  6 + 8 = 0, or x^2 - 7x + 14 = 0.  This does not factor easily, so I will use the quadratic formula to find the roots and then write out the factors based upon the roots:

The discriminant is b^2 - 4ac, which here is (-7)^2 - 4(1)(14) = -7.

Because the discriminant is negative, we know that there are two unequal, complex roots.  They are:

      -(-7) ± i√7         7 ± i√7

x = ----------------- = ---------------

              2                     2

One factor is (x - [1/2]{7 ± √7}  )

are u from india ??????????

Step-by-step explanation:

One juice and to sandwiches cost $70.00. One juice and four sandwiches cost $130.00.

What is the cost of one sandwich?

Answer:

One sandwich costs $30

One juice costs $10

9514 1404 393

Answer:

  D.  14

Step-by-step explanation:

Point G divides each median into parts that have the ratio ...

  short : long = 1 : 2

Then ...

  GD : GC = 1 : 2 = 7 : 14 . . . . . . . . multiply the ratio by 7

GC = 14

Answer:

It's in Quadrant IV.

..............

Answer:

2

Step-by-step explanation:

Answer:

z will be11

11z = 121

z = 121/11

z= 11

Answer:

1=121= 11

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

It's undefined since it's a vertical line.

Step-by-step explanation:

Answer: [tex]3\times \dfrac{P}{3}=P[/tex]

Step-by-step explanation:

Given

The perimeter of one equilateral triangle is P

The lengths of the equilateral triangle are equal

Suppose x is the length of each side

[tex]\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}[/tex]

i.e.

[tex]\Rightarrow 3\times \dfrac{P}{3}=P[/tex]

Answer:

0

Step-by-step explanation:

Answer:

0.315 times

Step-by-step explanation:

156÷495 ≈ 0.315

Have a good day :)

Answer:

The original fraction is [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Let the numerator by X

Denominator is three more than its numerator i.e X +3

When both the numerator and denominator are increased by one the fraction becomes 1/2

[tex]\frac{X + 1}{X+3+1} = \frac{1}{2} \\\frac{X+1}{X+4} = \frac{1}{2} \\2X + 2 = X+4\\X = 2[/tex]

Thus, numerator = 2

Denominator = X +3 = 2+3 = 5

The original fraction is [tex]\frac{2}{5}[/tex]

Answer:

Triangle A and B

Step-by-step explanation:

Both triangles have two same angles.

If Triangle A is rotated like Triangle B, they would be the same.

Vice versa, if Triangle B is rotated like Triangle A, it would be the same.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: Well, when the wise man said "500 reduced by 4 times my age is 200." A wise women came up to him and responded " Your age is 75"

Step-by-step explanation:

If 500 reduced by 4 times your age is 200, then the equation

500 − 4x = 200

Take away 200 from both sides of the equation.

Add 4x to both sides of the equation.

Divide both sides of the equation by 4, you get 75 = x.

So, if 500 reduced by 4 times your age is 200, then you are 75.

Answer:

Step-by-step explanation:

let the age of old man be x

given word problem in equation form=

500-4x=200

500-200=4x

300/4=x

75=x

Answer:

10.9

Step-by-step explanation:

The "mean" is just school's fancy way of saying "the average". To find the mean of the numbers, you add them all up first. 12 + 5 + 14 + 6 + 17 + 7 + 15 = 76. The next step is to divide 76 by the number of values that were added. 12, 5, 14, 6, 17, 7, and 15 are a total of 7 numbers. So, we will divide 76 by 7.

76/7 = 10.8571428571, which rounds to 10.9 if you are rounding it to the nearest tenth.

Answer:

[tex]\boxed {\boxed {\sf 10.9 \ hours }}[/tex]

Step-by-step explanation:

The mean is also called the average. It is a measure of central tendency and provides information about the center of a data set.

The mean is found by adding up all the values, then dividing by the number of values. Remember, this is the data set we have:

12, 5, 14, 6, 17, 7, 15

1. Add up values

12 + 5+ 14 + 6 + 17 + 7 + 15= 76

2. Divide by the number of values

76/7=10.8571428571

3. Round

10.8571428571 ≈ 10.9

The mean number of hours spent watching television for this group of students is 10.9 hours.

Answer: The equation of the line in slope-intercept form is “y = 4/3x + 4.”

Answer:

x = 20

y = 30

Step-by-step explanation:

Answer:

x = 20

y = 30

Step-by-step explanation:

y = 3x - 30

2x + 2y = 100

2x + 2(3x - 30) = 100

2x + 6x - 60 = 100

8x - 60 = 100

8x = 160

x = 20

y = 3(20) - 30

y = 60 - 30

y = 30