Find the volume of the solid below.

Answer:

a.

radius [r]=breadth[b]=4in

length [l]=7in

now

[C]area 1/4 th circle +area of 1/4th circle= semi circle =1/2×πr²h=1/2×π×4²=8πin²=25.13in²

area of rectangle [A]=l×b=7×4=28in²

total area =A+C=28in²+25.13in²=53.13in²

Step-by-step explanation:

b.

height [h] of triangle =12-4=8cm

base[b] of triangle= 12-3.5-3.5=5cm

area of triangle [A]=1/2×b×h=½×8×5=20cm²

again

length of square [L]=12cm

area of square [S]=L²=12²=144cm²

Area of shaded region=S-A=144-20=124cm²

Answer:

1. slope=1/2 y-int=1 equation= y=2x-1

2. slope=1 y-int=1 equation= y=x+1

Step-by-step explanation:

Answer:

Chris should go for the LOAN THAT IS COMPOUNDED ANNUALLY because the interest rate is lower compared to the simple interest

Step-by-step explanation:

Chris borrows 450 dollars from Gavin.

Step 1

We find Simple Interest

Gavin lets Chris choose either a simple interest loan for 10 years with a 3.5% interest rate

Formula = P × R × T

= 450 × 3.5% × 10

= $157.5

Step 2

We find compound interest

loan compound annually for 7 years with a 2% interest rate.

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 rate per year,

Then solve the equation for A

Formula:

A = P(1 + r/n)^nt

A = 450.00(1 + 0.035/1)(1)(7)

A = 450.00(1 + 0.035)(7)

A = $572.53

Interest = A - P where

P (principal) = $450.00

I = $572.53 - $450.00

I (interest) = $122.53

Which should Chris choose if he wants the cheaper plan?

Comparing the calculations above, Chris should go for the Loan that is compounded annually because the interest rate is lower compared to the simple interest

Answer Step-by-step explanation:

Word (story) problems are easy if you use a table to translate the words to precise, concise math variables and operations.  For example,

      Is means                =

    Larger than                                   +

     Four times a                           4*a

    F is 550 less than S                F = S – 550

      Total of A, B, C                       A + B + C  

This seems obvious – until you get stuck on a word problem.  So,

 “the first company” ,  “a second company”      becomes       Let their costs be F and S

                                                                                                 Let K be the number of kilograms

  “$20 to ship a medium box, plus an additional $2 per kilogram”           F =  $20 + 2*K

   “10 for the same size of box, plus an additional $3 per kilogram”           S  =  $10 + 3*K

  “the two shipping methods will cost the same amount”                               F = S

 “What is that weight?”                                                                             report K

Now, the math:

        F        =        S

  20 + 2K   =   10 + 3K

     $10  =  K

Answer:2

Step-by-step explanation:

Answer:

Information

Step-by-step explanation:

The almanac was full of Information because it offered info to people about many things.

Hope this helped!!!! :D

Answer:

66

Step-by-step explanation:

B is 57

C is 57

180 - (57 x 2) =

180 - 114 = 66

Answer:

what is the question ?

........................

Answer:

x = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

- 9x + 3 = 3x + 9 ( subtract 3x from both sides )

- 12x + 3 = 9 ( subtract 3 from both sides )

- 12x = 6 ( divide both sides by - 12 )

x = [tex]\frac{6}{-12}[/tex] = - [tex]\frac{1}{2}[/tex]

Second one is correct, The value of -a - c is positive

See, from the number line a = -6 and c = 2

Now, -a - c

= -(-6) -(2)

= +6 - 2 = 4

Which is true...

Answer:

124

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

2+(4)(32)−7+1

=2+128−7+1

=130−7+1

=123+1

=124

Answer:

Pt. 1: D

Pt. 2: what are the options for part 2?

Step-by-step explanation:

Harold needs 71 tomato plants.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Harold wants to make a tomato patch.

And, It will have 7 long rows of plants, each with 8 plants in the row, and 3 short rows of plants, each with 5 plants in the row.

Now, For the total number of tomato plants Harold needs, we can multiply the number of plants in each row by the number of rows for each section (long and short) and then add the results as,

Hence, the expression for number of tomato plants Harold needs is:

⇒  (7 long rows x 8 plants per row) + (3 short rows x 5 plants per row) Simplifying the expression, we get:

⇒ 56 + 15 = 71

Therefore, Harold needs 71 tomato plants.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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Answer:

angle Lmp=77degrees and angle nmp = 103degrees

m ∠LMP =77 degrees and m ∠LMP = 103 degrees

It is given that Angle LMP=-16x+13

Angle NMP=-20x+23

We have to find m∠LMP and m∠NMP.

What is the sum of pair of linear angles?

The sum of pair of linear angles is always 180 degrees

∠LMP+ ∠NMP=180

-16x+13-20x+23=180

-36x+36=180

-36x=180-36

-36x=144

x=-4

Now substitute value of x in Angle LMP and Angle NMP

Angle LMP=-16x+13 =-16(-4)+13=77 degree

Angle NMP=-20x+23 =-20(-4)+23=103 degree

To learn more about pair of linear angles click here:

https://brainly.ph/question/16759465

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Answer:

We need to find the value of r. ... 6. radius 2V3. 7. radius. 8. radius who. 8. tadine V10. 9. containing the point (3, 4) ... Find the equation of the circle which has the line segment from a(-4, 3) to b(2, 1) as diameter.

Answer:

[tex]V=0.09375\ mm^3[/tex]

Step-by-step explanation:

Given that,

The length of the rectangular prism = (1/2) mm

Width = (1/4) mm

Height = (3/4) mm

We need to find the volume of the prism. We know that the formula for the volume of a rectangular prism is given by :

V = lbh

Put all the values,

[tex]V=\dfrac{1}{2}\times \dfrac{1}{4}\times \dfrac{3}{4}\\\\V=0.09375\ mm^3[/tex]

So, the volume of the prism is equal to [tex]0.09375\ mm^3[/tex].

Answer:

Step-by-step explanation:

add up the total people in the survey

7 + 33 + 56 + 42 + 12 = 150

divide 12 by 150 = .08   or 8%

now multiply .08 * 100,000 = 8,000

so B looks like a good answer

Answer: d.    5/13

Step-by-step explanation:

Soh cah toh

oposite hypontanose

you go from point b so oppsiote is 5 and and hypo is 12

I know i am right i promise

Answer:

c

Step-by-step explanation:

Explanation:

This can be proven by dividing the parallelogram into two triangles, and then proving the triangles congruent (use ASA). Once you know the triangles are congruent, then the corresponding pieces must be congruent as well. The corresponding pieces being the same length tells us that the opposite sides of a parallelogram are always congruent.

Answer:

36.625

Step-by-step explanation:

5*5 = 25

25 + 8 = 33

33 - 11 = 22

22 + 12 = 34

84/32 = 2.625

34 + 2.625 = 36.625

36.625

Have a nice day!

Answer:

36.625 or 293/8

Answer:

Alison is most likely to get elected

Step-by-step explanation:

Three friends Alison Beth and Cat are standing for school captain. The probability of Alison get elected is 3/8. The probability that Alison or Cat elected is 7/10.Who is most likely to get elected?

The formula is given as:

p(A or C) = p(A) + p(C)

Where

A = Allison

C = Cat

Step 1

Finding the probability of Cat been elected

Hence,

7/10 = 3/8 + P(C)

P(C) = 7/10 - 3/8

Lowest Common Denominator = 40

P(C) = 13/40

Step 2

Converting both probabilities to decimals

P(A) = 3/8 = 0.375

P(C) = 13/40 = 0.325

Alison has the highest likely probability of getting elected

Answer:

sociable I think........

Answer:

Step-by-step explanation:so what’s the answer????

Answer:

C

Step-by-step explanation:

Answer:

There are 2 solutions:

X=-7.5

X=4.5

**The positive one is 4.5** so it should be that

Step-by-step explanation:

Answer:

Pleaseee post the question clearly

Answer:

5 1/2 blocks

Step-by-step explanation:

Jacob is painting wooden blocks. He has 11\12 of a quart of paint. Each block needs 1\6 of a quart of paint. How many blocks can he paint?

From the above question:

1/6 quart of paint = 1 block

11/12 quart of paint = x

Cross Multiple

1/6 x = 11/12 × 1

x = 11/12 ÷ 1/6

x = 11/12 × 6

x = 11/2 blocks

x = 5 1/2 blocks

Therefore, Jacob can paint 5 1/2 blocks