11. What is the volume of the composite solid? (Hint: The height of the cone is 42 ft.)

12. A cylindrical can of cat food has a diameter of 3.5 inches and a height of 1.25 inches. A second brand of
cat food is packaged in a cylindrical can with a radius of 1.2 inches and a height of 1.25 inches.

a) What is the volume of the first can of cat food? Show your work

b) What is the volume of the second brand of cat food? Show your work

c) What is the difference between the volumes of the cans?

Extra credit: Two cylinders have equal diameters. Are their volumes also equal? Is the same true for cones and
spheres? Explain your reasoning

Note:-

Solved as the all of above is one question

Solution:-

2 ft above

Now

Angle be x

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow tanx=\dfrac{10}{400}[/tex]

[tex]\\ \rm\Rrightarrow tanX=\dfrac{1}{40}[/tex]

[tex]\\ \rm\Rrightarrow tanX= 0.025[/tex]

[tex]\\ \rm\Rrightarrow X=tan^{-1}(0.025)[/tex]

[tex]\\ \rm\Rrightarrow X=1.432°[/tex]

Answer:

exponential dacay

hope it is helpful.. correct ans..

Answer:

Step-by-step explanation:

Draw a picture.

c and b are Malaya’s distance from the courthouse and bank, respectively.

tan(72°) = c/90

c = 90tan(72°)

tan(35°) = b/54

b = 54tan(35°)

Distance between courthouse and bank = c+b

= 90tan(72°) + 54tan(35°)

= 301.5 ft

Answer:

Null hypothesis; H0: µ ≥ 52 mpg

Alternative hypothesis; Ha: µ < 52 mpg

Step-by-step explanation:

We are told that the newest model gets an average of 52 miles per gallon and that the buyers believe that the average mpg was overstated.

This means the alternative hypothesis will have an average less than 52. Thus;

Null hypothesis; H0: µ ≥ 52 mpg

Alternative hypothesis; Ha: µ < 52 mpg

Answer:

Where’s the table?

Step-by-step explanation:

Answer:

A.

240cm

320cm

400cm

The lengths are 240, 320, and 400cm.

B.

The Angle measurements are the same

37, 53, and 90 degrees.

Step-by-step explanation:

Hope this helps

Answer:

$32.13

Step-by-step explanation:

IXL

The total cost will be;

⇒ $32.05

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.

Now,

Since, Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.

Hence, The sale price = 40% of $50.60

                                  = 40/100 × $50.60

                                  = $20.24

Thus, The price chest of drawers become = $50.40 - $20.24

                                                                 = $30.16

Since, The sales tax = 6.25%

Hence, The sales price = 6.25% of $30.16

                                    = 6.25/100 x 30.16

                                    = $1.89

Thus, The total cost = $30.16 + $1.89

                              = $32.05

Therefore, The total cost will be;

⇒ $32.05

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ6

Nonlinear

hope this helps..lemme know if im wrong <3

Answer:

420.9

Step-by-step explanation:

420.86827 ≈ 420.9 because we need to round to one decimal place.

Since 6 is greater than 5, we round 8 up to make it 9

420.9

If my answer is incorrect, pls correct me!

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

-Chetan K

Answer: C

Step-by-step explanation:

100ft + 100ft = 200

140ft + 140ft = 280

200ft + 280ft = 480ft

Answer:

x = 8

Step-by-step explanation:

If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees

As we can see, we have two sets of similar right triangles

The value x faces the right angle and that makes it the hypotenuse

Also, the side measure 4 is the adjacent side to the angle 60

The trigonometric identity that relates the hypotenuse and the adjacent is the cosine

it is the ratio of the adjacent to the hypotenuse

Mathematically;

cos 60 = 4/x

x = 4/cos 60

x = 8

Answer:

let

Step-by-step explanation:

let the third proportion be x

Since 5,9,4,x

5.x=9.4

5x=36

x=36/5

x=7.2

answer

X+2y=4

+-x-4y=-14

——————

-2y=-10, y=5, x=4-10=-6

Answer:

x = -6

y = 5

Step-by-step explanation:

Add the equations

1x + 2y = 4

-1x - 4y = -14

————————

    -2y = -10

Divide both sides by -2

y = 5

Substitute for y = 5 into either equation

using  1x + 2y = 4

1x + 2(5) = 4

1x + 10 = 4

Subtract 10 from both sides

1x = -6

x = -6

Solution

x = -6

y = 5

Answer:

78m

Step-by-step explanation:

We can use the formula of area of rectangle which is the product of length and breadth.

=> A = l * b

=> 4368m² = 56m * l

=> l = 4368m²/56m

=> l = 78m .

Answer:

a)0.879

Step-by-step explanation:

divide 87.9 by 100

Answer:

0.3

Step-by-step explanation:

Answer:

14 ÷ 10=1.4

Step-by-step explanation:

Answer:

294 in^3

Step-by-step explanation:

Sugar it can hold can be determined by calculating the volume of the prism

volume of a prism = length x width x height

14 x 6 x 3.5 = 294 in^3

Answer:

Option D

Step-by-step explanation:

The complete question is attached herewith.

Also the options for the same are as follows -

What is the meaning of the slope of the trend line shown on the scatterplot?  

A A plant grows about 3 inches for every 2 hours of sunlight it receives.  

B A plant grows about 2 inches for every 3 hours of sunlight it receives.  

C A plant grows about 3 inches for every 1 hour of sunlight it receives.  

D A plant grows about 1 inch for every 3 hours of sunlight it receives.

Solution

If we look at the graph, we can see that in 6 hours the tomato plant grew by 2 inches.

At the X axis, when x = 6 hours, the y co-ordinate at X = 6 hours is 2 inches.

Hence, It can be interpreted that 1 inch of the tomato plant grows in 3 hours.

Hence, option D is correct

Answer:

hanges made to your input should not affect the solution:

(1): Dot was discarded near "4.".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*x+7*y-(3914)=0

STEP

1

:

Equation of a Straight Line

1.1     Solve   5x+7y-3914  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+7y-3914  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3914/7 so this line "cuts" the y axis at y=559.14286

 y-intercept = 3914/7  = 559.14286

Calculate the X-Intercept :

When y = 0 the value of x is 3914/5 Our line therefore "cuts" the x axis at x=782.80000

 x-intercept = 3914/5  = 782.80000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 559.143 and for x=2.000, the value of y is 557.714. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 557.714 - 559.143 = -1.429 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.429/2.000 = -0.714

Geometric figure: Straight Line

 Slope = -1.429/2.000 = -0.714

 x-intercept = 3914/5 = 782.80000

 y-intercept = 3914/7 = 559.14286

Step-by-step explanation:

Answer:

y= -5/7x+3914/7

Step-by-step explanation:

Slope form is y=mx+b

5x+7y=3914

7y = -5x+3914 minus the 5x from each side

7y=-5x+3914  divide 7 from each side --> y= -5/7x+3914/7

So, 5x+7y=3914 is in ax+by=c (standard form) the "a" in "ax" can't be negative either.

Answer:

A , B , C

Step-by-step explanation:

1) find the slope of the given line

slope = (-a/b) = (-8/4) = -2

two parallel lines have the same slope

A : correct

B : (-a/b) = -16/8 = -2 (correct)

C : correct

D : wrong (2 is different from -2)

Answer:

+25;+18;-10

Step-by-step explanation:

Ok so let's break down the scenario step by step:

(And of you want to find out the amount left with him,

(25+18)-10

=43-10

=$33)

Hope this helps :)

Answer:

The answer is 6 becase 6 12 18 24 20 36 42 that is 7 so the answer is 6 and it is b

Step-by-step explanation:

brainliest pls

Answer:

y=(2/3)(x+15)-22

Step-by-step explanation:

You use the slope point equation which is y-y1=m(x-x1) or y=m(x-x1)+y1 where m is the slope and x1 and y1 are the coordinates you plug in.

Therefore, 2/3 is the slope m and (-15, -22) are the coordinates for x1 and y1.

y=(2/3)(x-(-15)) + (-22)

y=(2/3)(x+15)-22

Answer:

2sqrt(5)

Step-by-step explanation:

Using Fourmla of distance between two points

Answer:

8x - 32

Step-by-step explanation:

Answer:

Euler's Identity

Euler's Identity is written simply as: e^(iπ) + 1 = 0, it comprises the five most important mathematical constants, and it is an equation that has been compared to a Shakespearean sonnet.

Step-by-step explanation:

Answer:

Calculus

Step-by-step explanation:

The fundamental theorem of calculus forms the backbone of the mathematical method known as calculus and links its two main ideas, the concept of the integral and the concept of the derivative.

Answer:

C is correct both have 7 as y intercept

Answer:

Situation 1 has a greater slope I believe

It might be C also.

Correct me if i'm wrong.