Find the area of the composite figure. Write just the answer in the blank.​

Answer:

[tex]Height = 15[/tex]

[tex]Base = 45[/tex]

Step-by-step explanation:

Given

Shape: Rectangle

[tex]Perimeter = 120cm[/tex]

[tex]Base = 3 * Height[/tex]

Required

Determine the dimensions

The perimeter of a rectangle is:

[tex]Perimeter = 2 * (Base + Height)[/tex]

Substitute 120 for Perimeter

[tex]120 = 2 * (Base + Height)[/tex]

Divide both sides by 2

[tex]60 = Base + Height[/tex]

Substitute 3 * Height for Base

[tex]60 = 3 * Height + Height[/tex]

[tex]60 = 3Height + Height[/tex]

[tex]60 = 4Height[/tex]

Divide both sides by 4

[tex]15 = Height[/tex]

[tex]Height = 15[/tex]

Substitute 15 for Height in [tex]Base = 3 * Height[/tex]

[tex]Base = 3 * 15[/tex]

[tex]Base = 45[/tex]

Answer:

B?

Step-by-step explanation:

I beilieve its B? Ive never heard about dances for inuguration.

Answer:

Slope = 6

Y intercept = 0

Step-by-step explanation:

Given equation is: y = 6x

Equating it with y = mx + b

We find:

Slope m = 6

Y intercept b = 0

Answer:

The top left one is correct.

Step-by-step explanation:

We can rewrite this as an algebraic expression simply so it's easier to read.

Let's say hopscotch is [tex]h[/tex]. Tag is 6 times [tex]h[/tex], or [tex]6h[/tex].

That means for every 1 unit of hopscotch, there are 6 units of tag.

The top left one is correct.

Answer:

Step-by-step explanation:

so the square root of 6 is the multipyed number of 8 plus 2 divided by9 is to times 8 plus 6

Answer:the answer is b

Step-by-step explanation:

Answer:

-8x + 31

Step-by-step explanation:

Hope it helps, have a great day

[tex]\huge\bf\underline{Answer}[/tex]

[tex]\boxed{\huge \sf{TSA = 6a²}}[/tex]

Let the Side of a cube be 'x'

[tex]\sf{:⇒6(x) ^{2} } = 1944cm^{2} [/tex]

[tex]\sf{:⇒ {x}^{2} = \dfrac{1944}{6} }[/tex]

[tex]\sf{:⇒ {x}^{2} = 324}[/tex]

[tex]\sf{:⇒x = \sqrt{324} }[/tex]

[tex]\sf{:⇒x = 18cm}[/tex]

Answer:

3 cantaloupes

Step-by-step explanation:

Since there are 24 students if you divide 24 by 3 it equals  8 so eat cantaloupe should be cut into 8 pieces. So, Mr.chu should buy 3 cantaloupes and cut each of the cantaloups in 8 equivalent slices for the students.

Answer:

162

Step-by-step explanation:

95.63 rounds up to 96

66.552 stays at 66

96+66=162

Answer:

I think it's A. 32.0

Step-by-step explanation:

Answer:

Answer = 14. 2

Step-by-step explanation:

Area of rectangle = length x breath

So, area here is = 49.7 cm2

Breath = 3.5 cm

49.7 = length x 3.5

Length = 49.7 ÷ 3.5

Length = 14.2 cm

Answer:

umumumuykik.iu.fg

Step-by-step explanation:

lui;iou;uyfluylfuy;lui;uy;

Answer:

Selling the total for $ 1276, Ace lost $ 1.37 for each meter.

Step-by-step explanation:

Given that Ace earned $ 176 selling 32 meters of cloth at $ 1496, to find out his loss for each meter if he sold the total for $ 1276, the following calculation must be performed:

1496 - 176 = 1320 (stock price)

1320/32 = 41.25 (price per meter)

1276/32 = 39.87

41.25 - 39.87 = 1.37

Thus, selling the total for $ 1276, Ace lost $ 1.37 for each meter.

Answer:

g=-1/2    can u you also mark me brainliest?

Step-by-step explanation:

Answer:

x = 1/5

Step-by-step explanation:

2(5x + 7) = 16

2 * 5x + 2 * 7 = 16

10x + 14 = 16

10x = 16 - 14

10x = 2

x = 2/10

x = 1/5

Answer:

4x+15y

Step-by-step explanation:

If you want it simplified

Answer:

1) 8

2) 2

3) 1

4) 4

5) skiing, snowboarding,ice skating, sledding

Step-by-step explanation:

Answer:

1.) 8

2.) 2 more people

3.) 1 less for skiing

4.) 4

5.) Skiing, Snowboarding, Ice skating, Sledding,

Answer:

Sorry I am not sure but when I figure it out..... I prolly won't

Step-by-step explanation:

Answer:

When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

-5(-6-3x)+8=83

Distribute the -5 to both terms in the parentheses by multiplication, multiply the -5 by the -6 and the -3x.

30+15x+8=83

Add like terms, add the 30 and the 8.

38+15x=83

Subtract 38 from both sides to isolate the x on the left side.

15x=45

Divide by 15 on both sides to solve for x.

x=3

Answer:

Prof B and Prof D

Step-by-step explanation:

Step-by-step explanation:

From the question  we are told that

Sample size 100  

Instructor    Number of Failures  

Prof. A         13

Prof. B         0

Prof. C         11

Prof. D         16

Confidence level= 0.95

From Z table

Z=1.96

Generally proportion for failure is mathematically given as

  [tex]Proportion\ of\ Failure\ P=\frac{Number\ of\ Failure\ N}{Sample\ size\ S}[/tex]

  [tex]P=\frac{N}{S}[/tex]

For Prof A

    [tex]P_A=\frac{N_A}{S}[/tex]

    [tex]P_A=\frac{13}{100}[/tex]

    [tex]P_A=0.13[/tex]

For Prof B

    [tex]P_B=\frac{N_B}{S}[/tex]

   [tex]P_B=\frac{0}{100}[/tex]

    [tex]P_B=0[/tex]

For Prof C

    [tex]P_C=\frac{N_C}{S}[/tex]

    [tex]P_C=\frac{11}{100}[/tex]

   [tex]P_C=0.11[/tex]

For Prof D

     [tex]P_D=\frac{N_D}{S}[/tex]

   [tex]P_D=\frac{16}{100}[/tex]

   [tex]P_D=0.16[/tex]

Generally the average proportional failure is mathematically given as

    [tex]P_a_v_g=\frac{0.13+0+0.11+0.16}{4}[/tex]

   [tex]P_a_v_g=0.10[/tex]

Therefore  having this we calculate for the control limits

Generally the upper control limit UCl is mathematically given as

Upper control limits:

  [tex]UCL =P_a_v_g +Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]

  [tex]UCL =0.1 +1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]

  [tex]UCL =0.1 +1.96*0.03[/tex]

  [tex]UCL =0.1 +0.0588[/tex]

  [tex]UCL =0.1588[/tex]

Generally the upper control limit UCl is mathematically given as

Lower limit control limits:

 [tex]UCL =P_a_v_g _Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]

 [tex]UCL =0.1 -1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]

  [tex]UCL =0.1 -1.96*0.03[/tex]

  [tex]UCL =0.1 -0.0588[/tex]

  [tex]UCL =0.0412[/tex]

Therefore the Range is 0.0412 to 0.1588

Given the range 0.0412 to 0.1588 Prof B and Prof D are outside the Range making them the correct options

let's find the area of the outer circle and the inside circle

the inside's circle area

A= π x 6²=36π

the outer's

A' = π x 4x²= 4πx²

A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.

Answer:

The number of strawberry baskets sold was 44

Step-by-step explanation:

Let

x ----> the number of strawberry baskets sold

y ---> the number of raspberries baskets sold

we know that

In one morning, Katya sells 96 baskets for $644

so

----> equation A

---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (44.52)

see the attached figure

therefore

The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52

Answer:

D and A and B i think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

First press 9, then the exponent key, then 6, and finally press the equal sign.

Answer:

3,-2.

Step-by-step explanation:

hope this helps. :-)