Two rectangles are joined together to form a single large area. The rectangles do not overlap. The first rectangle has side lengths of 10 meters and 3 meters. The second rectangle has side lengths of 3 meters and 8 meters. What is the combined area? *

Answers

Answer 1

Answer:

54

Step-by-step explanation:

Since they don’t overlap, just find the area of each rectangle and add it together. for example, the first rectangle will be 30 because 3x10=30. the second rectangle will be 24 because 3x8=24. 30+24=54. hope this helped :)


Related Questions

Factor the expression 2x4y – 18x2y3 completely.

A. 2x2y(x2 – 9y2)

B. 2x2y(x – 3y)(x + 3y)

C. 2x2y(x – 3y)2

D. 2x2y(x – 9y)(x + 2y)

Answers

Answer:

B

Step-by-step explanation:

[tex]2x^{4}y - 18x^{2}y^{3}[/tex]

Both sides have [tex]x^{2}[/tex]

[tex]x^{2} (2x^{2}y - 18y^{3})[/tex]

Both sides have y

[tex]yx^{2} (2x^{2} - 18y^{2})[/tex]

Both sides have 2

[tex]2yx^{2} (x^{2} - 9y^{2})[/tex]

Rule : [tex]x^{2} - y^{2} = (x+y)(x -y)[/tex]

[tex]x^{2} = x.x\\9y^{2} = 3y. 3y[/tex]

[tex](x^{2} - 9y^{2}) = (x +3y) (x-3y)[/tex]

Final:

[tex]\red{ 2 {x}^{2} y(x - 3y)(x + 3y)}[/tex]

Hope this helps ^-^

The factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

What is Factorization?

The act of expressing a number or other mathematical object as the sum of numerous factors is known as factorization.

The given expression is 2x⁴y-18x²y³.

Factor the expression as follows:

2x⁴y-18x²y³

= 2x²y(x² - 9y²)

= 2x²y(x² - (3y)²)

= 2x²y(x + 3y)(x- 3y)

Hence, the factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

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The diagram shows a square-based cuboid.
10 cm
4 cm
Work out the volume of the cuboid.
State the units of your answer.

Answers

Answer:

400 cubic cm

Step-by-step explanation:

Given that base is square and is side is 10 cm

area of square is given by side^2

Thus, area of base of cuboid  = [tex]10^2[/tex] square cm = 100 sq. cm

We know volume for any cuboid is area of base * height

height is 4cm

thus, volume of cuboid = area of base of cuboid * height

                                     = 100 * 4 cubic cm = 400 cubic cm

Volume of cuboid is 400 cubic cm.

Unit is cubic cm

The volume of square based cuboid is [tex]400cm^{3}[/tex].

Given that, base is square and side of base is 10 cm.

Height of the square-based cuboid.is 4cm.

Area of base = [tex](side)^{2}=(10)^{2}=100cm^{2}[/tex]

Volume of the cuboid is multiplication of base area and height of the cuboid.

  [tex]Volume=100*4=400cm^{3}[/tex]

Hence, the volume of square based cuboid is [tex]400cm^{3}[/tex].

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A mirror should be centered on a wall the mirror is 4 feet wide in the wall is 20 Feet wide what equation helps determine the distance X on each side of the mirror

Answers

Answer:

A)x + 4 + x = 20

Step-by-step explanation:

Complete question:

Which equation helps determine the distance x on each side of the mirror?

A. x + 4 + x = 20

B. 4 + x + 4 = 20

C. x = 20 + 4 + 4

D. 4 = 20 + x + x

SOLUTION:

As given,The mirror is 4 feet wide and the wall is 20 feet wide.

The distance 'x' on each side of the mirror is x + x

4 feet wide + x + x = 20 feet wide

The mirror 4 feet wide + the distance x on each side of the mirror = the wall is 20 feet wide

Therefore, the correct option is A

A savings account balance is compounded continuously.If the interest rate is 3.1% per year and the current balance is 1077.00 in how many years will the balance reach 1486.73?

Answers

Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

Find the total volume of the rectangular prisms.
A) 88 units3
B) 96 units3
C) 104 units3
D) 114 units3

Answers

Answer:

C) 104 units^3

Step-by-step explanation:

The formula for volume in a rectangular prism is V=lwh

There are three total rectangular prisms, so take the volume of each individual prism and add them together to get the total volume.

smallest: V=(2)(2)(4) = 16

Medium: (2)(2)(6) = 24

Largest: (2)(2)(16) = 64

Add it together: 16+24+64= 104

Your answer is 104 units^3

:)

The data on ages at which a sample of 35 fathers had their first child show a mean 25.43 and standard deviation 5.19. Define the population parameter of interest in this context.

Answers

Answer:

Step-by-step explanation:

A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.

Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.

Sumara Kato's savings account has a balance of $1663. After 19 years, how much interest
will she have earned if her rate is 5.5% compounded annually?
(1) $3159.70 (2) $2936.27 (3) $2942.27
(4) $2925.27

Answers

Answer: $2936.27

Step-by-step explanation:

Present value = $1663

Rate = 5.5%

Time(n) = 19years

Future value= PV(1+r)^n

= 1663(1+5.5%)^19

= 1663(1.055)^19

=1663 × 2.766

=4599.86

Interest = Future value - Present value

= $4599 - $1663

= 2936

Hunter earned a grade of 5% on his multiple-choice math final that had a total of 60 problems. How many problems on the final exam did Hunter answer correctly?

Answers

Answer:

3

Step-by-step explanation:

From the information given in the statement, you can find the number of problems that Hunter answered correctly by calculating the 5% of 60. This because 5% is the grade that he got which means that he only had 5% of his answers correctly and 60 is the total number of problems:

60*5%= 3

According to this, Hunter answered correctly 3 problems on the final exam.

If the front of a playhouse is shown in a scale drawing and the height of the door is 1.8 inches. The scale that maps the drawing is 1 inch to 2.5 feet . What is the actual height in feet of the play house door?

Answers

Answer:

4.5 feet

Step-by-step explanation:

Here, we are concerned with calculating the actual height in feet of the door given the scale used in the maps drawing.

In the scale, scale to actual is 1 inch to 2.5 feet

let 1.8 inch scale = x actual feet

Thus mathematically, by cross multiplying; we have;

x = 2.5 * 1.8 = 4.5 feet

can someone please help me ill give a brainliest

Answers

Answer:

C

Step-by-step explanation:

-

Answer:

yes

Step-by-step explanation:

If you are given a paper which has lines which are the length of a needle apart, and then you repeated drop that needle onto the paper, the probability that the needle with cut the line is:

Answers

Answer:

The correct option is;

[tex]\frac{1}{\pi }[/tex]

Step-by-step explanation:

Here we have that

[tex]Probability = \frac{Number \, of \, required\, outcomes}{Number \, of \, possible\ outcomes} = \frac{Dimension \, of \, the \, line}{Size \, of \, the \ needle} = \frac{l \times D}{\pi \times D \times l } = \frac{1}{\pi }[/tex]

Therefore, the probability that the needle will cut the line = 1/π.

Mr. Stewart used a gallon of vinegar to make 15 different color egg dipping containers. He used the same amount of vinegar in each container. How much vinegar in gallons was used in each egg dye container?

Answers

Answer:

0.067 gallons ( to 2 decimal places)

Step-by-step explanation:

First, note that since the same amount of vinegar was used in each container, it means that the 1 gallon of vinegar was divided equally to the 15 containers, hence the amount of vinegar used in each dye container is calculated as follows:

total volume of vinegar = 1

number of egg dye containers = 15

if equal volume of vinegar was used in each container:

volume of vinegar in each egg dye container = 1 ÷ 15 = 0.067 gallons ( to 2 decimal places)

Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
algebraically
O (325)
(-3, 49)
(3,25) and (79)
(-3, 49) and (-7, 65)

Answers

Answer:

The answer is c

Step-by-step explanation:

(7,9) (3,25)

The solution sets of the given system of equations are (3,25) and (7,9).

Given equations are :

[tex]y=-x^{2} +6x+16[/tex]........(1)

[tex]y=-4x+37[/tex]...........(2)

What is an equation?

An equation is a statement that equates to two expressions.

So, for the solutions of the  given system of equations

[tex]-x^{2} +6x+16=-4x+37[/tex]

[tex]x^{2} -10x+21=0[/tex]

[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]

[tex](x-3)(x-7)=0[/tex]

So, [tex]x=3[/tex]

[tex]x=7[/tex]

Corresponding y value for x=3

[tex]y=-4*3+37\\y=25[/tex]

Corresponding y value for x=7

[tex]y=-4*7+37[/tex]

[tex]y=9[/tex]

Hence, the solution sets of the given system of equations are (3,25) and (7,9).

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Carlos bought 80 feet of wire for ​$17.60. He needs 30 more feet. If the unit price is the​ same, how much will he pay for the extra 30 feet of wire​?

Answers

Answer:

Carlos bought 80 feet of wire for ​$17.60.

Then the price for 1 feet of wire is 17.6/80 = 0.22

=> 30 feet of wire would cost: 30 x 0.22 = 6.6

Hope this helps!

:)

Solve the system of inequalities and indicate all the integers which are in the solution set:
[tex]\left \{ {{3-2a\ \textless \ 13} \atop {5a\ \textless \ 17}} \right.[/tex]

Answers

Answer:

-5 < a < 3.4

Step-by-step explanation:

3 - 2a < 13

3 - 13 < 2a

2a > -10

a > -5

5a < 17

a < 3.4

Solution:

-5 < a < 3.4

Step-by-step explanation:

Step 1:  Find the solution to the first equation

[tex]3 - 2a < 13[/tex]

[tex]3 - 3 - 2a < 13 - 3[/tex]

[tex]-2a < 10[/tex]

[tex]-2a / -2 < 10 / -2[/tex]

[tex]a > -5[/tex]

Step 2:  Find the solution to the second equation

[tex]5a < 17[/tex]

[tex]5a / 5 < 17 / 5[/tex]

[tex]a < 3.4[/tex]

Answer:  [tex]-5 < a < 3.4[/tex]

What is the error in the flow chart

Answers

there is no flow chart

Answer:

WHAT FLOWCHART?

Step-by-step explanation:

Which of the expressions are equivalent to the one below? Check all that
apply.
6*(2+8)

A. 6•(8+2)
B. 6•2+6•8
C. (8+2) •6
D. (6•2) + 8

Answers

Answer:

B

Step-by-step explanation:

When you have a number or numbers by parentheses, you take the number outside them and multiply it to each number that is inside the parentheses. In this case you would do 6*2 + 6*8. If I helped, please mark as brainliest! :)

Answer:

A, B, & C are all correct!

Step-by-step explanation:

find angle C! please and thankyou

Answers

Answer: it's around 40

Step-by-step explanation:

maya was asked whether the following equation is an identity (2x+3)(x+1) = 2(x+1)^2 + (x+1)

Answers

No their not the first one ends up as 2x^2 plus four x plus four the other one isn’t the same

Answer:

Maya is correct.

Step-by-step explanation:

Khan Academy gave me the answer.

6 radians is the same as____
Round to the nearest hundredth of a degree.

Answers

Answer:

343.77

Step-by-step explanation:

1 radian is about 57.2958 degrees

so 57 times 6 is about 343.77

343.77 is your answer

Solve 8.2ws 29.52. Which of the following must be true abo
OWS36
The arrow points left
The arrow points right
There is an open circle at 3.6.
There is a closed circle at 3.6.

Answers

Answer:

A B E

Step-by-step explanation:

A- w less-than-or-equal-to 3.6

B- The arrow points left.

E- There is a closed circle at 3.6.

Answer:

A B E

Step-by-step explanation:

The total time T (in hours) needed to fly from New York to Los Angeles and back can be
modeled by the equation below, where d is the distance (in miles) each way, a is the average
speed (in miles per hour), and j is the average speed (in miles per hour) of the jet stream.
Simplify the equation. Then find the total time to the nearest minute it takes to fly 2468 miles
when a = 512 miles per hour and j = 103 miles per hour.

Answers

Answer:

complicated process just think and do the math If I was helpful pls be thnked

Step-by-step explanation:

What is the area of the triangle (I need this today pls help)

Answers

Answer: 24 units^2

(12*4)/(2)=24

Step-by-step explanation:

Answer:

Step-by-step explanation:

4*12/0.5=96

when nathan was 2 1/2 years old, he was 34 inches tall. the doctor told his mother that he will be two times and 4 inches taller than that when he is an adult. which of the following equation will give h, nathans height, as an adult

Answers

Answer 5 ft 4 in

Step-by-step explanation:

2 1/2 + 2 1/2=5 + 4 inches

You start a chain email and send it to 3 friends. The process continues and each of your friends forward the email to 3 other people. What is an expression for the nth term an?

Answers

Answer:

[tex]a_{n}=3^{n}[/tex]

Step-by-step explanation:

We can start solving this problem by making a list of the number of chain emails that are sent on each round:

Round one:

[tex]a_{1}=3[/tex]

which represents the three friends you send the mail to.

Round two:

[tex]a_{2}=3*3=9[/tex]

since each of your friends sends the mail to another three friends, then we multiply the original 3 friends by 3 to get a total of 9.

Round three:

[tex]a_{3}=3*3*3=9*3=27[/tex]

on the next round we multiply the previous 9 persons by 3 mails each giving us a total of 27 persons receiving the mail. A patter starts showing here. Notice that for each round we need to take the previous round number an multiply it by 3. When we have a number being multiplied by itself n times, we rewrite it as a power, so the expression for the nth term will be:

[tex]a_{n}=3^{n}[/tex]

which is our final answer.

j divided by 9 is 5 , write an equation to represent the following statement

Answers

Answer:

The first answer is incorrect

Step-by-step explanation:

45 divided by 9 is 5 not 40

The equation that represents the statement is j / 9 = 5.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

The statement j divided by 9 is 5 can be written in equation form as follows:

j / 9 = 5

j = 45

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Positive ÷ positive = ?

Answers

Answer:

positive

Step-by-step explanation:

Derek is playing a prank on Grace and hid her pencil inside a tissue box that has a width of 4 inches, a length of 8 inches, and a height of 4 inches. The pencil fits perfectly from the upper left corner to the bottom right corner of the box. What is the length of Grace’s pencil to the nearest tenth of an inch?

Answers

Answer:

9.8 Inch

Step-by-step explanation:

The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.

For a rectangular prism:

Length of the Longest diagonal [tex]=\sqrt{ l^2+h^2+w^2}[/tex]

Therefore:

Length of the pencil[tex]=\sqrt{ 8^2+4^2+4^2}[/tex]

[tex]=\sqrt{96}\\=9.8$ inch(correct to the nearest tenth of an inch)[/tex]

Answer: length of pencil is 9.8 inches.

Step-by-step explanation:

The pencil fits perfectly from the upper left corner to the bottom right corner of the box. This is the diagonal of the box(not the diagonal of a face). To determine the length of the pencil, we would determine the length of the diagonal of the box. The formula formula is

d = √(l² + w² + h²)

Where

d = diagonal = length of pencil

w = width = 4 inches

h = height = 4 inches

l = length = 8 inches

Therefore,

d = √(4² + 4² + 8²) = √96

d = 9.8 inches

Which statement is true about a line that contains the point ሺ2, 7ሻ and has a slope of 0.5?

A The line will also contain the point ሺ4, 6ሻ.
B The line will have a y-intercept of 6.
C The line will contain points whose y-coordinate will decrease in value as you move to the right
D none of the above

Answers

Answer:

I think it is C) The line will contain points whose y-coordinate will decrease in value as you move to the right

Step-by-step explanation:

HOPE THIS HELPS

help plz! (a + b - c)(a + b + c) multiplying polynomials

Answers

Answer:

a^2 + 2ab + b^2 - c^2

Step-by-step explanation:

When you multiply all the terms together you get a^2 + ab + ac + ab + b^2 + bc - ac - bc - c^2. Then you can just combine like terms and simplify it to a^2 + 2ab + b^2 - c^2. Hope this helps :)

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