Vbb. Pls help 50 points

Vbb. Pls Help 50 Points

Answers

Answer 1

Answer:

6468 mm²

Step-by-step explanation:

Given:

21 mm = length of the shortest of the small rectangleLet y = length of the longest of the small rectangle

Therefore, the area of the small rectangle is:

= width × length

= 21 × y

= 21y mm²

From inspection of the larger rectangle

longest side length = 4 × 21 = 84 mmshortest side length = (2y + 21) mm

Therefore, the area of the larger rectangle is:

= width × length

= 84(2y + 21)

= 168y + 1764 mm²

We know that the area of the larger rectangle is 11 times the area of the smaller rectangle. Therefore,

⇒ 11 small rectangles = larger rectangle

⇒ 11(21y) = 168y + 1764

⇒ 231y = 168y + 1764

⇒ 63y = 1764

⇒ y = 28

Therefore, the missing side length of the smaller rectangle is 28 mm.

Finally, to find the area of the larger rectangle, substitute the found value of y into the found expression for its area:

⇒ area = 168y + 1764

⇒ area = 168(28) + 1764

⇒ area = 4704 + 1764

⇒ area = 6468 mm²


Related Questions

find the approximate radius of a circle with circumference of 198 centimeters

Answers

Answer:

C=2πr

r=C/2π

 198/2π

≈31.51268cm

help me please i need help

Answers

Answer:

72

Step-by-step explanation:

1 large cube is 2 x 3 cubes equals 6

length is 3 x 4 x 2 = 24

24 x 3 = 72 for each layer

72 x 2 = 144 smaller cubea

Which ordered pair is a solution to the following system of inequalities?

y ≤ –x2 + 5x

y > x2 – 4

(–1, –1)
(0, 2)
(2, 5)
(4, 1)

Answers

Verifying the conditions, it is found that ordered pair (2,5) is a solution to the given system of inequalities.

What is the system of inequalities?

As stated in the problem, it is modeled by:

y ≤ –x2 + 5x

y > x2 – 4

For ordered pair (-1,-1), we have that:

y ≤ –x2 + 5x

-1 ≤ –(-1)2 + 5(-1)

-1 ≤ -6

Which is false.

For ordered pair (0,2), we have that:

y ≤ –x2 + 5x

2 ≤ –(0)2 + 5(0)

2 ≤ 0

Which is false.

For ordered pair (2,5), we have that:

y ≤ –x2 + 5x

5 ≤ –(2)2 + 5(2)

2 ≤ 6

Which is true.

y > x² - 4

5 > 2² - 4

5 > 0

Which is true.

Hence ordered pair (2,5) is a solution to the given system of inequalities.

More can be learned about a system of inequalities at https://brainly.com/question/9774970

Answer:

the third option (2,5)

Step-by-step explanation:

I just took the test:)

Help on this pleasse.

Answers

Answer: 40 degrees

Step-by-step explanation:

please help pleaseeeeeeee

Answers

Answer:

9.5

Step-by-step explanation:

First order them:

5, 5, 8, 11, 12, 14

The go to the middle

2, 8, 11, 12

8, 11

8 + 11 = 19

19 / 2 = 9.5

Answer:

9.5 is your answer

Samantha invested $67,000 in an account paying an
interest rate of 3.9% compounded continuously.
Assuming no deposits or withdrawals are made, how
much money, would be in the account after 7 years?

Answers

Answer:

A = $13,116.03

Step-by-step explanation:

the equation used for compound is  A = Pe^rt, where p= principle, r=rate(interest) e=2.71828, and t=time. first convert the rate into a decimal, then plug in the numbers into the equation.

A = 10,000.00(2.71828)^(0.03875)(7)

Square roots are the opposite of ____________.

Answers

Answer:

Squaring a number.

Step-by-step explanation:

The square root is an operation that undoes an exponent of 2, which is the inverse operation of squaring a number.

Squared is the answer

simplify the following variable expressions​

Answers

[tex] \qquad \qquad \sf \: \huge Answer♨[/tex]

Let's simplify ~

Expression 1

[tex]\qquad \sf  \dashrightarrow \:2x + 5 + x - 6 + 3x[/tex]

[tex]\qquad \sf  \dashrightarrow \:(2x + x + 3x) + (5 - 6)[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x + ( - 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x - 1[/tex]

Expression 2

[tex]\qquad \sf  \dashrightarrow \:x - 8 + x - 5 + x + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + x + x) + ( - 8 + ( - 5) + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3x + ( - 12)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3x - 12[/tex]

Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
1
6
km
13
wo
1
15 kr
6
13
km
6
1
km
13
1
1 1 2 3 4
6
km
13
|
kilometers

Answers

Answer:

5 11/13 km

Step-by-step explanation:

4 ( 1 6/13)

4× 19/13

= 5 11/13

Help me, please guyyyyyyusssssss.

Answers

Answer:

Step-by-step explanation:

7) Volume of the shape = Volume of triangular prism - volume of cylinder

Triangular prism:

[tex]\boxed{ \text{Volume of triangular prism = base area * h }}[/tex]

b = 6 ft & height of the triangle = 5 ft

[tex]\sf Base \ area = \dfrac{1}{2}* 6* 5[/tex]

               = 3*5

               = 15 ft²

Volume of prism = 15 * 4

                           = 60 ft³

Cylinder:

r = 2÷2 = 1 ft & h = 4 ft

Volume of cylinder = 3.14 * 1 * 1 * 4

                                = 12.56 ft³

Volume of the shape = 60 - 12.56

                                    = 47.44 ft³

8) Volume = Volume of Pyramid -  Volume of cone

[tex]\boxed{\text{Volume of the Pyramid = base area * h} }[/tex]

[tex]\text {base area = length * width}\\\\\\[/tex]

                = 9 * 9

                = 81 m²

Volume of Pyramid = 81 * 8

                                = 648 m³

[tex]\boxed{ \text{Volume of cone = \dfrac{1}{3} \pi r^{2}h}}[/tex][tex]\boxed{ \text{Volume of cone = $\dfrac{1}{3} \pi r^{2}h$}}[/tex]

r = diameter ÷ 2 = 6÷2

r = 3 m & h = 8 m

[tex]\text{ Volume of cone =$\dfrac{1}{3}*3.14* 3*3*8$}[/tex]

                        = 3.14 * 3 * 8

                        = 75.36 m³

Volume of the shape = 648 - 75.36

                                     = 572.64 m³

9) Volume of the shape = volume of cylinder + volume of cone

Cylinder:

h = 7 in ; r = 3

[tex]\boxed{\text{Volume of cylinder =$ \pi r^{2}h$}}[/tex]

                                [tex]=\dfrac{22}{7}*3*3*7[/tex]

                                  = 22 *3 * 3

                                   = 198 in³

Cone:

r = 3 in & h = 4 in

[tex]\text{Volume of cone = $ \dfrac{1}{3}*3.14*3*3*4$}[/tex]

                         = 3.14 * 3 * 4

                          = 37.68 in³

Volume of the shape = 198 + 37.68

                                     = 235.68 in³

10) Volume of the shape = Volume of outer cyliner - volume of inner cylinder

Volume of outer cylinder:

R = 9 m  & h = 3 m

Volume of outer cylinder = 3.14 * 9 * 9 * 3

                                          = 763.02 m³

Volume of inner cylinder:

r = 5 m & h = 3 m

Volume of inner cylinder = 3.14  * 5 * 5 * 3

                                          = 235.5 m³

Volume of the shape = 763.02 - 235.5

                                    = 527.52 m³

Can anyone help me with this puzzle equation please

Answers

I hope I can help you:)

The carson family pays $3,252 a year for their cell phones is $3,252 a reasonable answer?

Answers

Answer:

Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.

Hourly Pay: $3252

Work hours per week: 40

Work weeks per year: 52

Income Tax Rate: 12%

To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:

$3252 × 40 hours

= $130,080.00 per week

$130,080.00 × 52 weeks

= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).

Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):

Social Security Tax

($6,764,160.00 × 6.2)/100

= $419,377.92

Medicare Tax

($6,764,160.00 × 1.45)/100

= $98,080.32

Income Taxes

($6,764,160.00 × 12)/100

= $811,699.20

+ $6,764,160.00 Gross Income

- $419,377.92 Social Security Tax

- $98,080.32 Medicare Tax

- $811,699.20 Federal/State/Local Taxes

= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56

We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.

Step-by-step explanation:

A cylinder is a radius of 10 inches and a height of 6 inches. About what is it's volume in cubic inches? Use 3.14 for pie

Answers

Answer:

1884

Step-by-step explanation:

square the 10 which is 100 and multiply 6 which is 600 and then multiply 600*3.14 which is 1884

Please mark as brainliest

a group of 6 adults pay a total of $105 for for their admission to a museum. Each person has a coupon for $5 off the regular admission price. they want to know what the regular admission price is for one adult.​ Write an equation if a equals the regular admission price

Answers

Answer:

$22.50

Step-by-step explanation:

105/6= 17.5 each

17.5+5= 22.5

An engineer would like to design a parking garage in the most cost-effective manner. He reads that the average height of pickup trucks, which is the largest type of vehicle that should be expected to fit into the parking garage, is 76.4 inches. To double-check this figure, the engineer employs a statistician. The statistician selects a random sample of 100 trucks and finds the mean height of the sample to be 77.1 inches with a standard deviation of 5.2 inches. The statistician will determine if these data provide convincing evidence that the true mean height of all trucks is greater than 76.4 inches. The statistician plans to test the hypotheses, H0: μ = 76.4 versus Ha: μ > 76.4, where μ = the true mean height of all trucks. Are the conditions for inference met?

No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.

Answers

The answer is: Yes, all conditions for inference are met.

pls help i need this FASTTTT

Answers

Answer:

31 cm2

Step-by-step explanation:

Rectangle 5X2 = 10 cm2

Triangle (6)(7)/2 = 42/2 = 21 cm2

Total area = 10 + 21 = 31 cm2

Hope this helps

Answer:

31 cm^

Explanation:

We break it down by finding the areas of individual shapes first then add them together.

simplify 12(3a-1)-3(14a-1)

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

6a - 9

Step-by-step explanation:

[tex]12(3a-1) -3(14a-1)\\[/tex]

First you want to factor. Factor out a -3 from both terms.

[tex]= (-3)(-4(4a-1) + (14a-1))\\[/tex]

Then you want to expand the right bracket.

[tex]= (-3)(-16a + 4 + 14a - 1)\\[/tex]

Collect the like terms

[tex]= (-3)(-2a +3)\\[/tex]

Distribute:

[tex]= 6a - 9[/tex]

It’s kinda confusing?

Answers

I can’t see it clearly

What is the result when the number 39 is decreased by 3%?

Answers

result = 39 - 39 x 3% = 39 x 0,97 = 37,83

please help me on this it looks weird i will give you a brainly in return no links please

Answers

Answer:

A

Step-by-step explanation:

(1.7x10²³) and (3.4x10²³) cancel into 0.5.

0.5(8x10^-14) = 4x10^-14

Answer:

13.6x/3.4 x 10^14 This is a fraction by the way hope this helps

Step-by-step explanation:

13.6

x

3.4

10

14

Which table represents the function y =1/3 x + 4?


Input x 0 -3 -6
Output y 4 3 2


Input x 6 9 12
Output y 6 9 12


Input x 0 3 6
Output y 4 6 8


Input x 3 6 9
Output y 5 7 9

Answers

Answer:

i think that is the second one but im not sure.

hello, please answer the question, please show work

Answers

Answer:

5

Step-by-step explanation:

[tex]\frac{(44+9^2)}{5^2}[/tex] = [tex]\frac{44+81}{25}[/tex] = [tex]\frac{125}{25}[/tex] = 5

Find the mean of the following data set rounded to the nearest hundredth.. 20, 19, 18, 20, 19, 22​

Answers

Answer:

19.6

Step-by-step explanation

= Sum of terms / number of terms

= ( 20 + 19 +18+ 20 +19 +22 ) / 5

= 19.6


MARKING BRAINLEIST IF CORRECT

Answers

Answer:

A) (-5,0) and (-4,0)...

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]

X - intercepts are the points where the curve cuts x - axis ~

for the given curve (parabola), the intercepts are :

[tex]\qquad \sf  \dashrightarrow \:(-5,0) \: \: and \: \: (-4, 0)[/tex]

The Correct choice is A

[tex]➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖[/tex]

PLEASE HELP! DUE TODAY!! TY!:)
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral.
A) Write and solve an equation for x. Show your work.

B) Write and solve an equation to find the measure of angle D. Show your work and label your answer.

m∠D=

C) Write the measure of each of the other angles of the quadrilateral. Don’t forget to label your answers.

m∠A=
m∠B=
m∠C=

Answers

Answer:

Step-by-step explanation:

10 in.
Based on the measures shown, could the figure be a
parallelogram?
(x + 5) in.
(2x-3) in.
O Yes, one pair of opposite sides could measure
10 in., and the other pair could measure 13 in.
O Yes, one pair of opposite sides could measure
10 in, and the other pair could measure 8 in.
O No, there are three different values for x when each
expression is set equal to 10
O No, the value of x that makes one pair of sides
congruent does not make the other pair of sides
congruent
(x + 2) in

Answers

Answer: (1)

Step-by-step explanation:

HELP!!! PLS ASAP!!! GIVNG BRAINLIEST AND 60 P0INTS TO BEST ANSWERS AND MODELS FOR THESE 3 QUESTION!!! PLS HELP AS FAST AS U CAN!

Answers

Answer:

1. 5/12

2. 3/8

3. 1/4

Step-by-step explanation:

can anyone help me with this please ive been stuck on this for the longest

Answers

Answer:

step by step solution:

(r/p)(9) = (9+1)²/(9-4) = 100/5 = 20

(q.s)(3) = (-2(3)+7).(3(3)² - 5(3)) = 1×12 = 12

(q/r)(-1) = (-2(-1) + 7)/(-1+1)² = 9/0 = Undefined

(t + s)(4) = -(4)² + 4(4) + 9 + 3(4)² -5(4) = -16 + 16 +9 + 48 - 20= 37

(s o p)(8) = s(p(8)) = s(8-4) = s(4) = 3(4)² -5(4) = 48 - 20 = 28

(q o t)(7) = q(t(7)) = q(-(7)² + 4(7) + 9) = q(-12) = -2(-12) + 7= 24+7 = 31

(r o u)(1) = r(u(1)) = r(1+6) = r(7) = (7+1)² = 64

(t o s)(0) = t(s(0)) = t(0) = 9

(u-p)(-3) = (-3)³ + 6(-3) - (-3) + 4 = -27 -18 + 3 + 4 = -38

(u o r)(-2) = u(r(-2)) = u((-2+1)²) = u(1) = 1 + 6 = 7

(q o q)(6) = q(q(6)) =q (-2(6) + 7) = q(-5) = -2(-5) + 7 = 17

END

A triangle has two sides of length 19 and 19. What is the largest possible whole-number length for the third side?

Answers

Answer: 37

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+19>x, meaning the maximum whole number value of x is 37.

Luz borrowed
money from her bank for home repairs, the principal was $25,000, the rate
was 15% the time was 6 years. How
much interest will she pay and what is the total amount she will have to
pay back? (Principal and interest).

Answers

The total amount accrued, principal plus interest, from simple interest on a principal of $25,000.00 at a rate of 15% per year for 6 years is $47,500.00.

Answer:

I =  $22,500.00

A = $47,500.00

Simple interest

Given Data

Principal = $25000

Rate = 15%

Time = 6 years

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 15%/100 = 0.15 per year.

Solving our equation:

A = 25000(1 + (0.15 × 6)) = 47500

A = $47,500.00

I = A - P = $22,500.00

Learn more about simple interest here:

https://brainly.com/question/20690803

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