The radius of a cylindrical water tank is 6.5 ft, and its height is 17 ft. What is the volume of the tank?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
6.5 ft
ft
17 ft
X

Answer:

Choice A, 20(3n-m)

Step-by-step explanation:

First, lets combine like terms for the question 54n - 20m + 6n,

60n - 20m.

Next, lets rule out the choices that are visibly wrong. This includes Choice B, because it wouldn't equal what is above and Choice C, as it ignores unlike terms.

Now, it is down to Choices A and D. Let's use the distributive property to simplify these options.

Choice A:

20(3n-m)

60n-20m

Choice D:

20(m-3n)

20m-60m

With this, it can be concluded that the correct answer is Choice A since it equals 60n-20m, which is equal to the original question when like terms are combined.

Answer:

Which inequality has the solution set shown on the graph?

-54n < 1080

-54n > 1080

594 > -11n <<<<<This one

594 < -11n

Step-by-step explanation: I couldnt find my question so here is the answer if you have this on edg :))))

Answer:

100 times

Step-by-step explanation:

you have a 3/6 chance of rolling less than 4 once

so you multiply 3/6 times 200- you get 600/6

you simplify 600/6 to 100

100 times is the answer.

Have a fantasical day.

Answer:

C - Triangle, Pentagon, Hexagon, Decagon

Step-by-step explanation:

Triangle - 3 sides

Pentagon - 5 sides

Hexagon - 6 sides

Decagon - 10 sides

From Least to greatest!

:)

Answer:

250 lifeguards

(P.S, i dunno if i got it right or not should be correct tho)

Step-by-step explanation:

15 km divide 0.06 for every life guard. therefore, there are 250 lifeguards

There will be 9 lifeguards

.6 x 15 = 9

0.06 x 15 = 0.9

0.9 as a whole number = 9

Therefore There will be 9 lifeguards

Answer:

D

Step-by-step explanation:

The maximum value is the y- coordinate of the vertex

Given a quadratic in standard form , y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = - x² + 6x + 5 ← is in standard form

with a = - 1 and b = 6 , then x- coordinate of vertex is

x = - [tex]\frac{6}{-2}[/tex] = 3

Substitute x = 3 into the function for y- coordinate of vertex

y = - 3² + 6(3) + 5 = - 9 + 18 + 5 = 14

maximum value is 14 → D

Answer:

19.7°

Step-by-step explanation:

In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.

We make use of sine rule

TU/sin V = UV/sin U

9.8/sin 90 = 3.3/sin U

Cross Multiply

sin 90 × 3.3 = 9.8 × sin U

sin U = sin 90 × 3.3 /9.8

U = arc sin ( sin 90 × 3.3/9.8)

U = 19.7°

Answer:

No

Step-by-step explanation:

To find out if 2 is a solution, replace all the x's with 2.

4(2 - 1) - 3(2 - 2) =8

4(1) - 3(0) = 8

4 - 0 = 8

4 = 8

Nope!  False!  2 is not a solution.

Answer:

Graph the point at -1 on the y-axis, then the next at 4 on the x-axis, then connect them

This is the graph as in upload

Answer:

4

Step-by-step explanation:

4^4 or 4 * 4 * 4 * 4 is 256.

Answer:

[tex] \sqrt[4]{256} [/tex]

[tex] \sqrt[4]{ {4}^{4} } [/tex]

=±4 is a required answer

Answer:

70 degrees

Step-by-step explanation:

Answer:

Answer attached

Step-by-step explanation:

Midpoint of AB = (1,0)

Let's check

midpoint of AB

Answer:

30

Step-by-step explanation:

First, you have to convert 20% into a decimal.

Explanation:

20 ÷ 100 = 0.2

Now multiply 0.2 by 150

Explanation:

0.2 × 150 = 30.

Therefore, 20% of 150 is 30.

Answer:

first you will need to break the shape into a semi circle and a triangle.

then solve the area of the semi circle. which is

[tex] \frac{(3.14) \times r ^{2} }{2} \\ [/tex]

[tex] \frac{(3.14) \times 4.6^{2} }{2} \\ = 33.22[/tex]

Then solve the area of the triangle.

First work out the height of the triangle, which is

[tex]13.4 - 4.6 = 8.8[/tex]

then the area. which is

[tex] \frac{1}{2} 4.6 \times 8.8 \\ = 20.24[/tex]

now calc. the two figures. which is

[tex]20.24 + 33.22 \\ = 53.46[/tex]

Answer:

sorry i don't know

Answer:369.15

Step-by-step explanation:

Answer:

75ft

Step-by-step explanation:

We are to find the maximum height reached by the ball. This is expressed as;

H = u²sin²Ф/2g

u is the initial velocity = 80 ft./s.

Ф is the angle = 60degrees

g is the acceleration due to gravity = 32ft/s

Substitute

H =80²sin²60/2(32)

H = 6400sin²60/64

H = 100 (0.8660)²

H = 100*0.749956

H = 74.9956

H ≈ 75ft

Hence the ball has travelled 75ft apprximately

Answer:

16.50

Step-by-step explanation:

divide it to the upper thanks

Answer: [tex]184,724.153[/tex]

Step-by-step explanation:

Given

In 1990, there were 1200 cell phone subscriber in small town of stephenville

It is increasing by 75% per year after 1990

In year 1991 it is

[tex]\Rightarrow 1200+1200\times 0.75\\\Rightarrow 122(1.75)[/tex]

In year 1992 it is

[tex]\Rightarrow 1200(1.75)+1200(1.75)\times 0.75\\\Rightarrow 1200(1.75)(1+0.75)\\\Rightarrow 1200(1.75)^2[/tex]

So, it is increasing as [tex]1200(1.75)^x[/tex]

where [tex]x=[/tex]no of years spent

After 9 years, it is

[tex]\Rightarrow 1200(1.75)^9=184,724.153[/tex]

Answer: I like NF and can I do it later I’m in class

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

use y=mx+c

follow the flow

Answer:

(- 2, - 1 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = 3x + 5 → (2)

Substitute y = 3x + 5 into (1)

3x + 5 = 2x + 3 ( subtract 2x from both sides )

x + 5 = 3 ( subtract 5 from both sides )

x = - 2

Substitute x = - 2 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 2(- 2) + 3 = - 4 + 3 = - 1

solution is (- 2, - 1 )

Answer:

Complementary, x=10

Step-by-step explanation:

Complementary angles mean they add up to 90 degrees.

So 29+(6x+1)=90.

30+6x=90

6x=60

x=10

Answer:

Complementary-------- x= 10

Step-by-step explanation:

only 90 degrees

-----------------------------

3. 6x = 60

=======================

x= 10

Answer:

Number 1 is S

Number 2 is 0.4

Number 3 is 8 yards per second

Number 4 is 4 hours.

Answer:

1 2/18

Step-by-step explanation:

I need 20 more words to answer so here you so hope you d good on your test/quiz :D

Answer:

Step-by-step explanation:

im not sure but i think its 5

Complete question :

Stephanie has six identical gift boxes to wrap. Each box is a cube that measures 6 inches on each side. She would like to wrap them all using the same gift wrapping paper. The roll of wrapping paper she has is 30 inches wide and 10 feet long.

Answer:

Left over = 2292 in²

Step-by-step explanation:

Given that :

Gift boxes are identical ;

Each gift box is a cube with side length, s = 6 inches

Area of gift box, Surface area of a cube = 6s²

Area = 6(6²) = 6 * 36 = 216 in²

Area of one gift box = 216 in²

6 gift boxes will be : 216 in² * 6 = 1296 in²

Allowing 2 inches to cover for overlap in each box : 2 inches * 6 = 12 in²

Dimension of wrapping paper = 30 inches by 10 feets

Recall :

1 Feet = 12 inches

Hence ; dimension of wrapping paper becomes :

30 inches by (10*12) inches

30 inches by 120 inches

Area of wrapping paper = 30 * 120 = 3600 in²

Total area of paper - area of gifbox - area of overlap

(3600 - 1296 - 12) in²

= 2292 in²

Leftover = 2292 in²

Answer:

complementary angle

Step-by-step explanation:

hope this helps u

Answers:

x = angle MLN = 35 degrees

angle FLJ = 55 degrees

=================================================

Explanation:

This problem is fairly tricky if you're not sure what to look for. A slight clue is that they've marked a red point that strangely doesn't have a label on it. It's a fairly small point but it's definitely there if you look closely. While this point's location isn't exactly what we want, we're fairly close. Start at point L and draw a ray through the center point P. Ray LP will intersect the circle at point A, as shown in the diagram below.

From here, draw segments FA and MA. Now notice that inscribed angle LMF = 55 and inscribed angle FAL both subtend the same arc. The term "subtend" basically means "cut off". This arc that the inscribed angles subtend is minor arc FL. A minor arc is where you travel the shorter path around the circle, which indicates its measure is less than 180 degrees.

Since inscribed angles LMF and FAL subtend the same minor arc, this makes the inscribed angles to be congruent.

In short: angle FAL is 55 degrees

----------------------

Segment LA goes through the center P. Through Thales theorem, we know that inscribed angle LFA is 90 degrees. Consequently, we can determine that inscribed angle FLA is 90-55 = 35 degrees.

Segment JL is tangent to the circle, meaning that angle ALJ is 90 degrees. So angle FLJ is 90-35 = 55 degrees.

It's not a coincidence that angle FLJ, angle FAL, and angle LMF are the same measure.

----------------------

We found that angle FAL was 55 degrees. Applying Thales theorem again shows that angle MAF is 90 degrees. Therefore, angle LAM is 90-55 = 35 degrees.

Focus now on triangle LMA. This is also a right triangle (Thales Theorem). The upper acute angle we found was angle LAM = 35, so the lower acute angle is ALM = 55.

Then we can find angle MLN = (angle ALN) - (angle ALM) = 90 - 55 = 35

In short, angle MLN = 35 degrees

Similar to the previous section, it is not a coincidence that angles LFM, LAM and MLN are the same measure.

------------------------

As an alternative, since we know angle FLJ = 55, and angle FLM is 90 degrees, this means...

(angle FLJ)+(angle FLM) + (angle MLN) = 180

55 + 90 + angle MLN = 180

145 + angle MLN = 180

angle MLN = 180 - 145

angle MLN = 35 degrees

Answer:

I dont know for sure but I would have to guess DC because there's no line connecting the 2

Please do answer DC at your own risk though.

Answer:

DC

Step-by-step explanation:

Because there not connected to eachother

Answer:

6957  inches squared

Step-by-step explanation:

surface area of a cone  = πr × (r + √[h² + r²])

h = height

r = radius = 4/2 = 2 inches

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(3.14 x 2) x (2 + √5² + 2²) = 6.28  x 7.39 = 46.38 inches squared

the amount of coated paper needed for 1 cup is 46.38 inches squared

Amount needed for 150 cups = 46.38 x 150 = 6957

x 150