Volume of composite figures

Answer:

b= (2a+11)/5

Step-by-step explanation:

5x + 2y = 9

2y=9-5x

y= 9/2 - 5x/2

slope, m1= -5/2

for perpendicularity, m1 × m2 = -1

slope for QR= m2=

[tex] = - 1 \div \frac{ - 5}{2} = - 1 \times \frac{2}{ - 5} = \frac{ - 2}{ - 5} = \frac{2}{5} [/tex]

m2 is 2/5

[tex]qr = \frac{b - 3}{a - 2} [/tex]

[tex] \frac{2}{5} = \frac{b - 3}{a - 2} [/tex]

5(b-3)=2(a-2)

5b-15=2a-4

5b=2a-4+15

5b= 2a+11

[tex]b = \frac{2a + 11}{5} [/tex]

An expression for b in terms of a is b = (2a + 11)/5.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given an equation of a line 5x + 2y = 9 ⇒ 2y = - 5x + 9 ⇒ y = (-5/2)x + 9/2.

So, the slope of the line parallel to QR is the slope negative reciprocal of (-5/2) which is (2/5).

We know slope m = (b - 3)/(a - 2).

∴ (2/5) = (b - 3).(a - 2).

2(a - 2) = 5(b - 3).

2a - 4 = 5b - 15.

2a + 11 = 5b.

b = (2a + 11)/5.

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Answer:

Step-by-step explanation:

10.   To solve for this, use the formula: 180*(n-2)

So, 180(n-2) = 2,340

Once n is solved for, that is the number of sides

11. Use the formula:

[180*(n-2)]/n

    (n represents the number of sides)

12. Think of the sum of all interior angles in a quadrilateral

Answer:

like write an equation? If so it's a 0 slope

Step-by-step explanation:

The baseball card be worth in 30 years is: $159212.14

We have the following information available from the question is:

A rare baseball card just sold for $12,000

This baseball card to increase in value by 9%

each decade.

The principal = $12,000

Rate of interest (r) =9%

Time period (t) = 30 years

The number of times per year the interest is compounded (n) = 1

We know the formula is:

[tex]=P(1+\frac{r}{n} )^n^t[/tex]

Plug all the values, we get:

[tex]=12000(1+\frac{\frac{9}{100} }{1} )^3^0[/tex]

Then, Evaluate the equation/expression:

=> $159212.14

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Answer:

$33.81

Step-by-step explanation:

Strawberries = $2.49 Per Pound (Bought 3)

Blueberries = $3.19 Per Pound (Bought 2)

Pineapples = $4.99 Per Pound (Bought 4)

So we have to multiply each price with the number of fruits bought.

So, For Example, Strawberries: $2.49 × 3 = $7.47

After you did all three individually, add them all up.

Strawberries : $7.47

Blueberries : $6.38

Pineapple : $19.96

Total = $33.81

Answer:

im assuming its 6n+9.8 given that this has no context

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Median= Middle which is 14

Answer:

a=3c+4b

Step-by-step explanation:

-8b + 2a = 6c

(-8b + 2a) + 8b = 6c + 8b

-8b + 2a + 8b = 6c + 8b

-8b + 8b + 2a = 6c + 8b

2a = 6c + 8b

2a/2 = 6c + 8b/2

a = (2x3)c + [tex]2^{3}[/tex] x b)/2

a = 3c + 4b

Answer:

Step-by-step explanation:

Given lines:

To determine the relationship between the lines put them both into slope-intercept form and compare the slopes.

The slopes are different so the lines are neither parallel nor perpendicular.

Correct choice is C

Answer:

Neither parallel nor perpendicular

Step-by-step explanation:

If two lines are parallel, they share the same slope. If two lines have slopes that are opposite reciprocals of each other, then they are perpendicular. If it is the same line, then the two equations must be the same when converted into the same form. If none of these apply, then the line is neither of any these.

1) First, convert each equation into y = mx + b format, or slope-intercept form, to easily identify their slopes. Isolate y in both equations.

First equation:  

[tex]y + \frac{5}{3} x = -4\\y = -\frac{5}{3} x-4[/tex]

Second equation:

[tex]3y - 5x = 9 \\3y = 5x + 9 \\y = \frac{5}{3} x + 3[/tex]

2) In slope-intercept format, the coefficient of the x term, or m, represents the slope. Thus, the slope of the first equation is [tex]-\frac{5}{3}[/tex] while the slope of the second equation is [tex]\frac{5}{3}[/tex]. The slopes are not the same, nor are they opposite reciprocals of each other. The equations are not the same either. Therefore, they are neither parallel nor perpendicular.

Answer:

86

Step-by-step explanation:

Answer:

Mary ran the farthest

Step-by-step explanation:

Look at Diagram :)

As the Diagram shows, Mary ran the farthest!

Hope this Helps!

Answer:

19,110

Step-by-step explanation:

Answer:

26460

Step-by-step explanation:

Totally know that lazy feeling, happy to help =)

Answer:

Step-by-step explanation:

tfygggggggggggggggggggghzegrxdrcgfexrydgbfetyrhfgvbyhgrthvbthg6cygn

Answer:

        2

   15x  -2x-8    

Step-by-step explanation:

the two means squared btw

Answer:

The number one

Step-by-step explanation:

(3x+2)(5x−4)

=(3x+2)(5x+−4)

=(3x)(5x)+(3x)(−4)+(2)(5x)+(2)(−4)

=15x2−12x+10x−8

=15x2−2x−8

Answer

Input= 5

Output= 120

Step-by-step explanation:

The input goes up by 1, so m=5

The output shows how many hours there are in that many days so blank=120

Answer

output for m is 5

Step-by-step explanation

- multiply the input by a number to get the output

- to get the number to multiply it by you can divide a given out put by the input

( 24/2) = 12

- notice patterns

input- output

2         24

3          36

4          48

5         120

9514 1404 393

Answer:

  p : q = 3 : 2

Step-by-step explanation:

You are given sufficient information to write two relations involving p and q. We presume these will be sufficient to find an answer to the question. We will be able to find p and q. Then we can find their ratio, as the problem asks.

  (p-15)/(q-15) = 2/1

  (p+30)/(q+30) = 5/4

__

From the first equation, we get ...

  p -15 = 2(q -15)

  p = 2q -15 . . . . . . . add 15, simplify

From the second equation, we get ...

  4(p +30) = 5(q +30)

  4p + 120 = 5q + 150

  4p = 5q + 30

Using the first equation to substitute for p, we have ...

  4(2q -15) = 5q +30

  8q -60 = 5q +30 . . .  eliminate parentheses

  3q = 90 . . . . . . . . . . . add 60-5q to both sides

  q = 30 . . . . . . . . . . . . divide by 3

  p = 2q -15 = 2(30) -15 = 45

Then the desired ratio is ...

  p : q = 45 : 30

  p : q = 3 : 2

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-2(x+3)  Question

Step 2

-2(x+3)  Simplify

(-2)(x)+(-2)(3)

Step 3

(-2)(x)+(-2)(3)  Add and subtract

-2x-6

Answer

-2x-6

Hope this helped

I'm not that sure but I want to help

Step-by-step explanation:

y=4/3×-2

y=2/3×

Divide 2/3×

Answer:

[tex]4x+3y=12.35-------------1\\\\x+8y= 13..05-------------2[/tex]

Step-by-step explanation:

Given data

let bread be x

and soup be y

Kacey buys four cans of soup and three loaves of bread for $12.35

4x+3y=12.35-------------1

Fernando buys eight cans of soup and one loaf of bread for $13.05

x+8y= 13..05-------------2

Hence the equation for both of their purchase is [tex]4x+3y=12.35-------------1\\\\x+8y= 13..05-------------2[/tex]

Answer:

657

Step-by-step explanation:

Step-by-step explanation:

similarities ratio of circumference = 2πr/2πR = r/R= 77/147= 11/21

plz mark my answer as brainlist plzzzz.hope this will be helpful to you.

Answer:

[tex]\dfrac{1}{64}[/tex]

Step-by-step explanation:

[tex](-32)^{-1.2} = \dfrac{1}{(-32)^{\frac{6}{5}}} = \dfrac{1}{(\sqrt[5]{-32})^6}} = \dfrac{1}{(-2)^{6}} = \dfrac{1}{64}[/tex]

Answer:

B I used Desmos to graph it and this was the same as the picture

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

The answer would be b.

Answer:

[tex]18.3 \times 4.25 = 77.775[/tex]

Answer:

$1.68

Step-by-step explanation:

The total cost is $16.07 and there was 2 things bought- the oranges and the juice bottles. to make it easier to find the cost of the juice bottles, we'll subtract the cost of the oranges (2.63) from the total (16.07), which gives us 13.44. this number represents the total cost of only the bottles. To find out the cost if each individual bottle, you need to divide the total (13.44) by the number of bottles (8). This gives us 1.68, so the cost of each bottel is $1.68

Answer: 1.68

Step-by-step explanation: It depends how your teacher thought how to solve this but the easiest way would be: 16.07 - 2.63 = 13.44 than 13.44 divided by 8= 1.68.

Answer:

33.33%

Step-by-step explanation:

We know that:

At her four month weighs: 18 pounds.

Six month later weighs: 24 pounds.

So, the baby increased 6 pounds. But, what percentage represents?

To solve this problem we use the rule of three:

If 18 pounds represents 100%, 24 pounds what percentage would be?

So, if we subtract 100%-133.33%, we have a 33.33% more. This means that the baby increased a 33.33% during those six months.

Answer:

put the points on the paper and then figure out how far apart they are