please help, last question!!

Answer:

Volume of tank = 461,814 ft³

Step-by-step explanation:

Congruent tanks implies that both tanks are of identifical shape, form & dimensions. Congruent means that the tanks have the same radius as well as height. Hence, the heights and radii of tanks #1 and #2 are equal and the same.

Let's list out the information given us:

radius(tank #1) = 35 ft ⇒ radius(tank #2) = 35 ft, height(tank #2) = 120 ft ⇒ height(tank #2) = 120 ft

Volume of cylinder = πr²h

The tanks have been cut into half, as such:

Volume of tank = ½πr²h

Volume of tank = Volume(tank #1) + Volume(tank #2)

Since the tanks are congruent (same dimensions), we have:

⇒ ½πr²h + ½πr²h ⇒ πr²h

Volume of tank =  π * 35² * 120 = 147,000 π

Volume of tank = 461,814 ft³

The two holding tanks can be taken as one tank split halfway into two.

Reasons:

Known parameters:

The given parameters are;

The shape of the bottom = A curve

Number of holding tanks = 2

The characteristics of the tanks = Congruent tanks

Dimension of tank #1 = Dimension of tank #2

The shape of each  tank = Half cylinder

Radius of tank #1, r = 35 feet

Height of tank #2, h = 120 feet

Solution:

Given that the tanks are congruent and that each tank is a half cylinder, we have;

Sum of the volume of the tanks = Volume of tank having the radius of one of the tanks and the height of the other tank.

Sum of the volume of the tanks, V = π·r²·h

∴ V = π × 35² × 120 = 147,000·π ≈ 461814.12

The volume of both tanks, V ≈ 461814.12 ft.³

Learn more about the volume of a cylinder here:

https://brainly.com/question/16142311

Answer:

52

Step-by-step explanation:

the total is 180

so u add 61 and 67 which gives u 128

so u subtract 180 and 128 which gives u 52

hope this helps

Answer:the answer is 52

Step-by-step explanation:

First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.

Answer:

i think its wht u need...

Answer:

7t^2 + 3t + 6

Step-by-step explanation:

The computation of the expression is shown below:

The function describes the manufacturing cost of product A.

a(t) = 5t + 2

Likewise for product B, the manufacturing cost function is

b(t) = 7t^2 - 2t + 4

So if we combined these two, the equation would be presented below

= a(t) + b(t)

= 5t + 2 + 7t^2 - 2t + 4

= 7t^2 + 3t + 6

Hence, the correct option is D

Answer:

a) 280°

b) Ans - (D) P is North East of Q

Answer:

frank drank 0.125us gallons= 16 ounces, he has 0.875 us gallons= 112 ounces

Step-by-step explanation:

since 16 oz (which frank drank) = 0.125 gal, 1 gal - 0.125 = 0.875 gal which = 112 oz

Answer:

9

Step-by-step explanation:

x2 + 3

(3)2 + 3

6 + 3

9

Answer:

12.

Step-by-step explanation:

x = 3; x^2 + 3.

(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12

Hope this helps!

Step-by-step explanation:

1, vertical- axis intercept is the water at the beginning

3, she should have included the y-intercept and x-intercept of the linear function

Answer:

5th year= 9800

Step-by-step explanation:

1st year=15800

2nd=14300

3rd=12800

4th=11300

5th=9800

Answer:

table C

Step-by-step explanation:

The constant of proportionality  k= y/x

table C shows constant proportionality :

90/9=140/14=240/24=10

Answer:

B

Step-by-step explanation:

(a) Complete the table by substituting the values of x into y = x² - 4x

x | - 1  0    1     2  3  4  5

y |   5  0 - 3  - 4 - 3  0 5

Considering ordered pairs from the table

(0, 0 )

The only graph that passes through the origin is graph B

Graph B also goes through all the given points in the table

Answer:

22

Step-by-step explanation:

x-1 is a midsegment.

According to the Triangle midsegment theorem, x-1 is half of the third side (42)

x-1 = 42/2

x-1 = 21

x= 22

or

2x-2=42

2x=44

x=22

Hope this helps!

If you look at the top sides and bottom sides of both figures, this means that they are the same or similar.

In this figure, they are similar because one side is half of the other.

So... divide the longer length in half and solve for x.

42 / 2 = 21

x - 1 = 21

x - 1 + 1 = 21 + 1

x = 22

Therefore, the answer is C.

Best of Luck!

Answer:

you need 36cups of flour

Step-by-step explanation:

3 cups of flour = 8 ounces of water

x cups of flour = 96 ounces of water

96*3 =8x

288 =8x

288/8=36

x=36

Answer:

Plan II

Step-by-step explanation:

A certain county has 1,000 farms.

Corn is grown on 100 of these farms but on none of the others.

Since corn is grown on only 100 of these farms, the population of interest is the 100 farms on which corn is grown.

Therefore, a better method for estimating the total farm acreage of corn for the county is Plan II.

a) Identify the 100 corn-growing farms.

b) Sample 20 corn-growing farms at random.

c) Estimate the mean acreage of corn for corn-growing farms in a confidence interval.

d) Multiply both ends of the interval by 100 to get an interval estimate of the total.

Answer:

2688 $ will be added. Therefore, the cost will be 44688 $.

Step-by-step explanation:

6.4% of 42000$ (a) / 100%=2688 $ (b).

a + b = 44688 $.

Answer:

80º and 100º

Step-by-step explanation:

Answer:

[tex] \frac{13}{47} [/tex]

Step-by-step explanation:

There are 47 boys

13 picked karting

Answer:

406

Step-by-step explanation:

Five consecutive positive integers = x, (x+1), (x+2), (x+3), (x+4)

x + (x+1) + (x+2) + (x+3) + (x+4) = 2020

5x + 10 = 2020

5x = 2020-10

5x = 2010

x = 2010÷5

x = 402

The largest of the number is = x+4

x+4 = 402 + 4 = 406

Answer:

The required expression is (x+2).

[tex]x'=x+2=3+2=5[/tex]

Step-by-step explanation:

The given point is (3,6).

Here,

x-coordinate = 3

y-coordinate = 6

We need to find an algebraic expression to represent the new x-coordinate after a translation of two yards east.

If a point is shift 2 yard east it means the value of x-coordinate increases by 2 units. It means

[tex]x'=x+2[/tex]

where, x' is new x-coordinate and x is initial x-coordinate.

Put x=3 in the above equation.

[tex]x'=3+2=5[/tex]

Therefore, the new x-coordinate is 5.

Answer:

We need to find an algebraic expression to represent the new x-coordinate after a translation of two yards east.

Step-by-step explanation:

Extract the normal vectors from the given planes:

[tex]-2x+y+z+2=0\implies\vec n_1=(-2,1,1)[/tex]

[tex]x+y-3z+1=0\implies\vec n_2=(1,1,-3)[/tex]

(which are unique up to their signs, meaning either [tex]\vec n_1[/tex] or [tex]-\vec n_1[/tex] are valid choices for the normal vector)

The third plane must be perpendicular to both these given planes, which means it would be parallel to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex], which in turn means its own normal vector [tex]\vec n_3[/tex] should be perpendicular to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex].

Enter the cross product:

[tex]\vec n_3=\vec n_1\times\vec n_2=(-4,-5,-3)[/tex]

or (4, 5, 3), which also works.

The given plane passes through (-1, 1, 4), so its equation is

[tex](x+1,y-1,z-4)\cdot\vec n_3=0[/tex]

Simplify:

[tex](x+1,y-1,z-4)\cdot(4,5,3)=0[/tex]

[tex]4(x+1)+5(y-1)+3(z-4)=0[/tex]

[tex]\boxed{4x+5y+3z=13}[/tex]

Answer:

Option A is the correct option

Step-by-step explanation:

[tex] \frac{2 {x}^{2} - 10x - 28}{6x} \times \frac{6}{x - 7} [/tex]

Factor out 2 from the expression

[tex] \frac{2( {x}^{2} - 5x - 14)}{6x} \times \frac{6}{ x - 7} [/tex]

Weite -5x as a difference

[tex] \frac{2( {x}^{2} + 2x - 7x - 14)}{x} \times \frac{1}{ x - 7} [/tex]

Factor out

[tex] \frac{2(x(x + 2) - 7(x + 2))}{x} \times \frac{1}{x - 7} [/tex]

Factor X+2 from the expression

[tex] \frac{2(x + 2)(x - 7)}{x} \times \frac{1}{x - 7} [/tex]

Reduce the expression with x-7

[tex] \frac{2(x + 2)}{x} [/tex]

Distribute 2 through the parentheses

[tex] \frac{2x + 4}{x} [/tex]

Hope this helps...

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

Equation of the line using point ( -1 , 2) and slope 3/2 is

Hope this helps you

Answer:

V= -2000t + 20000

Step-by-step explanation:

Let m be the slope of our function :

Let's check :

Answer:

y= -5

y= -2

y= 1

y= 4

Step-by-step explanation:

plug in the values of x into the equation

The values of 'y' for the given values of [tex]x = - 1, 0, 1, 2[/tex] are [tex]- 5, - 2, 1, 4[/tex] respectively.

A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.

The given linear equation is

[tex]y = 3x - 2[/tex]

The given values of [tex]x = - 1, 0, 1, 2[/tex].

For [tex]x = - 1, y = 3(- 1) - 2 = - 5[/tex]

For [tex]x = 0, y = 3(0) - 2 = - 2[/tex]

For [tex]x = 1, y = 3( 1) - 2 = 1[/tex]

For [tex]x = 2, y = 3(2) - 2 = 4[/tex]

Therefore, the table will be:

   x        y

 - 1      - 5

   0     - 2

   1        1

   2       4

Learn more about linear equation here: https://brainly.com/question/17034467

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Answer:

x = 3.9

Step-by-step explanation:

x/1.5 = 2.6

Multiply both sides by 1.5

x/1.5 × 1.5 = 2.6 × 1.5

x = 3.9

Answer:  3.9

Step-by-step explanation:

Answer:

Answer:

Step-by-step explanation:

take a right triangle ABC...

right angled at B...

let AB be the height of the water tank...=52feet

AC hypotanuse...

BC is the length of the shadow..=78feet

tan thete=Opp/adj=AB/BC=52/78------eq1

tan theta in both cases remain the same,

hence,

take a right triangle PQR...

right angled at Q...

let PQ be the height of the water tank...

PR hypotanuse...

QR is the length of the shadow...=6feet

tan theta=52/78 (from 1)

tan thete=Opp/adj=PQ/QR = PQ/6-----eq2

hence, from 1, 2

52/78=PQ/6....

52x 6/78=PQ

52/13=PQ

Hence,4m=PQ=height of the boy...

Thank you, Hope this helps you dear friend,,,,

Answer:

7% of 33= 2.1

2% of 640= 12.8

15% of 470=70.5

7/9 of 51= 119/3

.52 of 62= 32.24

Answer:

1) 2.31

2) 12.8

3) 72

4) 44.625

5) 32.24

Step-by-step explanation:

7% of a number is simply 0.07*the number.

7/8 is just .875*the number

Hope it helps <3

Answer:

C

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 19 and h = 16 , thus

A = 0.5 × 19 × 16 = 152 yd² → C