simplify the screenshot below

Answer:

The length is APPROXIMATELY equal to 12.4.

Step-by-step explanation:

Use the converse of the Pythagorean Theorem ([tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex] [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:

[tex]13^{2} = 169[/tex]

[tex]4^{2} =16[/tex]

169-16=153.

[tex]\sqrt{153}[/tex] ≈ 12

or

[tex]\sqrt{153}=12.36931688[/tex]

or if the problem has to be exact (using radicals)

3*[tex]\sqrt{17}[/tex]

I hope this helps ;)

Answer:

Distance from the moon is 2.4 × 10⁵ miles

Step-by-step explanation:

Length of 1-inch paperclip = [tex]1.6\times 10^{-5}[/tex] miles

Number of paperclips used to reach the moon = 1.5 × 10¹⁰

Total distance from the moon = Number of paper clips used × Length of one clip

= (1.5 × 10¹⁰) × (1.6 × 10⁻5)

= (1.5 × 1.6) (10¹⁰× 10⁻⁵)

= 2.4 × 10⁽¹⁰⁻⁵⁾ miles

= 2.4 × 10⁵ miles

Distance from the moon is 2.4 × 10⁵ miles.

Answer:

x=8

Step-by-step explanation:

Because you are solving for x, you want to cancel out the y terms. You can do this by multiplying the entire equations by numbers that will make the y terms have equal numbers but opposite signs.

2(2x-5y=1)

5(-3x+2y=-18)

This turns into

4x-10y=2

-15x+10y=-90

The y terms cancel out, and the other terms can be added together.

-11x=-88

x=8

Answer:

12*18

Step-by-step explanation:

18*12 is the same as 12*18 and they both equal 216

Answer:

could you add a form?

Step-by-step explanation:

Answer:

Step-by-step explanatio

Answer:

109.9 cm

Step-by-step explanation:

Circumference = (pi)(diameter)

They tell you diameter = 35

c = (3.14)(35)

c = 109.9 cm

Please lmk if you have questions.

Answer:

circumference : 109.96 cm

Step-by-step explanation:

The radius of a circle is half its diameter. The radius of a circle with a diameter of 35cm is 17.5cm.

The circumference of a circle is found by 2πr . So that would be 2π 17.5

which would be equal to 109.96cm (2 sig. fig.).

The area of a circle is found by πr2 . So that's π⋅17.5 which is equal to 962.11cm (2 sig.fig.).

Answer:

0.03333333333 = 33/1000 = 3.3%

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

7. 78

8. 169

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

159.25 ft²

I hope this helps! :)

Step-by-step explanation:

Formulas:

For the Rectangle... bh = a

For the Semicircle... 1/2 × πr²

Step 1:

Solve the area for the rectangle:

bh = a

10 × 12 = 120

a = 120 ft²

Step 2:

Solve the Area for the Semicircle:

1/2 × πr²

1/2 × 3.14 = 1.57

Radius = Diameter ÷ 2

10 ÷ 2 = 5

Radius = 5

1.57 × 5²

1.57 × 5 × 5

= 39.25 ft²

Step 3:

Add the two areas together:

120 + 39.25 = 159.25 ft²

Answer:

c. 60

Step-by-step explanation:

Given

[tex]n = 61[/tex] --- sample

[tex]\bar x = 23[/tex]

Required

Determine the degrees of freedom (df)

This is calculated as:

[tex]df = n - 1[/tex]

[tex]df = 61 - 1[/tex]

[tex]df = 60[/tex]

Answer:

dogs - 13

cats - 39

Step-by-step explanation:

Let the number of dogs Ma Bernier have be represented with d

She has 3 times as many cats as dogs, the number of cats she has :

cats = 3d

The sum of the cats and dogs is 52

d + 3d = 52

4d = 52

divide both sides of the equation by 4

d = 13

She has 13 dogs

Cats = 3d

= 3 x 13 = 39

Answer:

(3x - 2) (4x + 1)

Step-by-step explanation:

12x² - 5x - 2

Since the first term has a coefficient, you need to multiply -2 with 12 to get -24.

Two factors that add up to -5 and have a product of -24 are -8 and 3.

12x² - 8x + 3x - 2

Rearrange the expression to find the GCF.

12x² + 3x - 8x - 2

3x (4x + 1) + (-1)2(-4x -1)

3x (4x + 1) - 2 (4x + 1)

(3x - 2) (4x + 1)

Answer

180 - x

Step-by-step explanation:

opposite angles of a quadrilateral inscribed in a circle are supplementary

Answer:

180-x !!!

Step-by-step explanation:

i had some time to think about it

Answer:

Convenience sampling

Step-by-step explanation:

From the question, we understand that 40 of all students are to be surveyed. This implies that from the 41st till the last student will not be a part of the survey.

When sampling is done, taking a part of the whole population that is near or readily available; such sampling is referred to as convenience sampling.

The whole population, in this case are all students while the convenience being selected are the first 40 students.

Answer:

It will cost $36.38 to travel 8.9 miles.

Step-by-step explanation:

In order to get how much it will cost to travel 8.9 miles, you need to first set up a linear equation (in slope-intercept form, which is [tex]y=mx+b[/tex] ). You can do this with what the problem has given us. Since there's a flat fee of $3, that is the y-intercept or the [tex]b[/tex] slope-intercept form. Then there is $3.75 added for every additional mile traveled, making it the slope or the [tex]m[/tex] in slope-intercept form. That makes the equation look like:

[tex]y=3.75x+3[/tex]

The [tex]x[/tex] in that equation represents how far you traveled. Therefore in order to find out 8.9 miles, plug in 8.9 for [tex]x[/tex].

[tex]y=3.75(8.9)+3[/tex]

Simply solve the equation and you will have how much it will cost to travel 8.9 miles.

[tex]y=33.375+3[/tex]

Now add the like terms:

[tex]y=36.375[/tex]

Since it needs to be rounded to the nearest cent, you will round to the nearest tenth:

[tex]y=36.38[/tex]

Therefore, it will cost $36.38 to travel 8.9 miles.

Answer:

11+3x=68

x=19

Step-by-step explanation:

11+3x=68 is your equation.

subtract 11 from both side to get 3x alone

3x=68-11

3x=57

divide 3 from both sides to get x alone

x=57/3

x=19

19 is your number.

Answer:

68

Step-by-step explanation:

Answer: 5^2 + 4^3 - 21= 68

Answer: 4 years

Step-by-step explanation:

Your question isn't complete but I believe that you want to calculate the number of years. This will be:

Simple Interest = PRT/100

where,

Interest = 864 - 800 = 64

Principal = 800

Rate = 2%

Therefore, 64 = 800 × 2 × T /100

Cross multiply

64 × 100 = 1600T

6400 = 1600T

T = 6400/1600

T = 4

Therefore, time will be 4 years

Answer:

A move in cost is a non-refundable fee that landlords charge new tenants to cover the cost of touch ups and small changes made to the rental

Answer:

Upper right corner.

Step-by-step explanation:

I took the test and that one was right. Hope this helps!

Answer:

P" is then (-3, 2).

Step-by-step explanation:

If the point P(-6, 4) is translated 3 units to the right, the x-coordinate increases by 3 from -6 to -3 and the y-coordinate decreases 2 units from 4 to 2.

P" is then (-3, 2).

Answer:

Answer:

P" is then (-3, 2).

Step-by-step explanation:

Answer:

576

Step-by-step explanation:

6 papers an hour. 7 hours spent grading.

So 7•6 = 42

618-42

576

Hope this helps

Answer:

well you need to have your friends personal email then login to you email and press new message once your logged in put in you friends email and you are all set

Step-by-step explanation:

1. H

2. A

3. E

4. C

I have to type extra words to turn this in so basically I just found the slop of the line then matched it with the letters...

Answer:

3150 ft³ or 89.1981 m³ or 116.6667 yd³

Step-by-step explanation:

Answer:

69-43= 26

therefore "U" is worth 26 U=26

Step-by-step explanation:

Answer:

its 26, because whaen u subtract 43 from 69 u will get 26

Answer:

The answer is 20 feet

Step-by-step explanation:

We know that her apartment sketch is 6 by 4 inches.

If the 6 inch side is actually 30 feet and 6 goes into 30 5 times, we should multiply 4 by 5 to get proportionate answers.

Therefore her apartment is 20*30 feet

Hope this helps

Answer:

Step-by-step explanation:

Lets break the 2 boxes apart so you have 4*4*3 =48 and then you have 10*3*2 = 60

60 +48 = 108

108cm^3