8th Grade Math! Help Please.

Answer:

Step-by-step explanation:

Given the scale factor:

Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.

The volumes are:

Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:

Answer:

The height is 18.5cm

Step-by-step explanation:

Given

Let

[tex]y =height[/tex]

[tex]x = time[/tex]

So, we have:

[tex](x_1,y_1) = (5,21.5)[/tex]

[tex](x_2,y_2) = (21,16.7)[/tex]

Required

The height after 15 hours

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{16.7-21.5}{21-5}[/tex]

[tex]m = \frac{-4.8}{16}[/tex]

[tex]m = -0.3[/tex]

The linear equation is then calculated as:

[tex]y =m(x - x_1) + y_1[/tex]

Where

[tex]m = -0.3[/tex]

[tex](x_1,y_1) = (5,21.5)[/tex]

This gives:

[tex]y =-0.3(x - 5) + 21.5[/tex]

Open bracket

[tex]y =-0.3x + 1.5 + 21.5[/tex]

[tex]y =-0.3x + 23[/tex]

After 15 hours

[tex]x = 15[/tex]

[tex]y =-0.3*15 + 23[/tex]

[tex]y =-4.5 + 23[/tex]

[tex]y =18.5[/tex]

The height is 18.5cm

Answer:

2.5

Step-by-step explanation:

Answer: b. 2.5 years

Step-by-step explanation:

The formula for Interest is:

= principal × rate × time

Then, we slot in the values given which will be:

Interest = principal × rate × time

50 = 1000 × 2% × Time

50 = 1000 × 0.02 × Time

50 = 20 × Time

Time = 50/20

Time = 2.5 years

He has 2.5 years to pay back

Answer:

x=-31/4

Step-by-step explanation:

1/4 =x+8

Step 1: Flip the equation.

x+8=

1

4

Step 2: Subtract 8 from both sides.

x+8−8=

1

4

−8

Answer:

X=105

reason beng corresponding angle

Answer:

75

Step-by-step explanation:

Answer:

18 cm

Step-by-step explanation:

please mark this answer as brainliest

Answer:

18 cm

Step-by-step explanation:

The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3.

Given: side x = 3 cm

Use the diagonal formula,

Diagonal of cube = 3–√x

Diagonal of cube = 3–√ × 3

We know that the value of √3 is 1.734

Therefore, the diagonal of a cube  = 1.734 (3)

Diagonal of cube = 5.20 cm

Answer:

The interquartile range is 5

Input each points. (x,y) for each equation to find out if the system of equations are equivalent.

Point (-3,4) is a solution of this system of equations.

Point (-2,-6) isn't a solution of this system of equations.

Point (-4,3) is a solution of this system of equations.

Answer:

u = 8, v = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{2} }{u}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

u = 8

The triangle is right isosceles with legs congruent, so

v = 4[tex]\sqrt{2}[/tex]

Answer:b

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

i think it is 1/10

hope it helps

have a nice day

Answer:

i dont see a circle

Step-by-step explanation:

Answer:

All circles are similar.

Step-by-step explanation:

Because circles are the same shape, they are similar by nature.

Answer:

$5

Step-by-step explanation:

The amount of money spent on snacks is

2/3 × $15= $10

15-10= 5

=$5

or

1/3 ×15

= 5

Answer:

805.05333.....

Step-by-step explanation:

To find the volume of a pyramid you need to multiply the bases length, width, height , and [tex]\frac{1}{3}[/tex]

but since 20.7 is not the height then you would need to find it

So imagen a line down the very middle of the pyramid

and connect that with the 20.7in line then connect it again and that makes a triangle.

So there is a formula and it is a²+b²=c²

in this problem a is the missing height b is 11/2 which is 5.5 and c is 20.7

a²+5.5²=20.7²   --->   428.49-30.25=a²   --->398.24=a²  --->19.955951.....=a

11 x 11 x 19.960 x [tex]\frac{1}{3}[/tex] = 805.05333.....

Answer:

volume = 805.05 in³

Step-by-step explanation:

Here's my calculations.

first, finding the true height (not the slope length):

using the Pythagorean theorem:

height² = 20.7² - 5.5² = 428.49 - 30.25 = 398.24

height = √398.24 = 19.96 in

base = 11 x 11 = 121

volume = 1/3bh = 1/3(121)(19.96) = 805.05 in³

Answer:

The answer is letter A and letter F.

Step-by-step explanation:

The question is asking if any of these choices are less than 300 centimeters. To find this out, first, you have to convert the meters to centimeters, to make it easier. (1 centimeter is equal to 0.01 meters) Multiply the meters by 100. For example 1.8m x 100 = 180cm. Do the rest for the other meters and then add them to the centimeters. Example: 180cm + 110cm = 290cm, which is less than 300cm.

Answer:

168

Step-by-step explanation:

Answer:

Compound interest; $5.42

Step-by-step explanation:

I think it's easier to not factor it, so we will be using formulas.

-b/2a=x

6/2=3=x

y=-25

(3,-25)

Answer:

I believe its 47.5

Hope this helps!

Answer:

142.5

Step-by-step explanation:

1/2×5×(7+12)=142.5

Answer:

$12.

Step-by-step explanation:

48 divided by $12 = $12.

Please mark brainiest thank you

Answer:

The slope of a line that is parallel to the graph of 4x+2y=4 is -2

Answer:

3

0

Step-by-step explanation:

Difference means subtraction

5-2 =3..

7-7=0

value of n=72

Answer:

∆ABC~DEF

since the side of similar triangle are proportional

[tex] \frac{AB}{DE} = \frac{BC}{EF} [/tex]

[tex] \frac{54}{9} = \frac{n}{12} [/tex]

6×12=n

n=72

Answer:

0.20 or 20%

Step-by-step explanation:

We already know that (assuming we aren't counting a car that has seats in the truck area) there are five possible spots to sit in: the driver's seat, the front passenger (famously known as "shotgun"), middle/back left passenger, middle/back right passenger, and middle/back middle passenger.

By dividing 1 from 5 (1/5) you get a 20% chance of sitting in shotgun.

So, not that high, but its better than nothing.

Hope this helped!

Source(s) used: G*ogle Calculator

Answer:

20%

Step-by-step explanation:

Step-by-step explanation:

true

and the top and bottom are just circles

The statement is true whenever the cylinder is unrolled the result will be the rectangle.

The Cylinder is a solid geometry with right straight sides and has a circular cross-section.

If we unroll the cylinder we will get a rectangular shape. having four sides two opposite sides are parallel and equal to each other.

Hence the statement is true whenever the cylinder is unrolled the result will be the rectangle.

To know more about cylinders follow

https://brainly.com/question/23935577

#SPJ2

Answer:

n - k + 1

Step-by-step explanation:

This is assuming (because you did not say) that n and k are integers and n is greater than k.

Example: from 2 to 5 {2, 3, 4, 5} includes 5 - 2 + 1 = 4 numbers.

Example: from -6 to 4 includes 4 - (-6) + 1 = 11 numbers, namely {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}

Answer:

$1863

Step-by-step explanation:

The model for exponential decay (depreciation) is [tex]y=y_0e^{-rt}[/tex].

r is the depreciation rate (which can be found first)

t is the time since the initial purchase

y is the value of the car at time t

[tex]y_0[/tex] is the initial purchase price (t = 0)

Year 0 is 1995.

2000 is year 5.

So, [tex]6800=20000e^{-r\cdot5}\\\\\frac{6800}{20000}=e^{-5r}\\[/tex]

To solve for r take the logarithm of both sides.

[tex]-5r=\ln\left({\frac{6800}{20000}\right)\\\\r=-\frac{1}{5}\ln\left({\frac{6800}{20000}\right) \approx 0.215762[/tex]

Now find the value of the car in 2006, which is year t = 11.

[tex]y=20000e^{-0.215762\cdot11} \approx 1863[/tex]

Answer:

8.3% probability

Step-by-step explanation:

(3) YELLOW  ⇒   [tex]\frac{3}{12}[/tex]   ⇒  25%

(5) BLUE       ⇒   [tex]\frac{5}{12}[/tex]   ⇒  41.6%

(4) RED         ⇒   [tex]\frac{4}{12}[/tex]   ⇒  33.3%

║(12) IN TOTAL

[tex]\frac{4}{12}[/tex] ⋅ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{12}[/tex]

[tex]\frac{1}{12}[/tex] = 8.3%

PROBABILITY OF (1) RED, AND (1) YELLOW  ⇒ 8.3% probability

Answer:

66

Step-by-step explanation:

330/1000 by 20(...)=66