What is the area of the composite figure? -70 cm2 -100 cm2 -105 cm2 -130 cm2

What Is The Area Of The Composite Figure? -70 Cm2 -100 Cm2 -105 Cm2 -130 Cm2

Answers

Answer 1

Make two shapes out of it.

The bottom is a rectangle 14 x 5 = 70 square cm

The top is a triangle 1/2 x 12 x 5 = 30 square cm

Total area = 70 + 30 = 100 square cm

Answer 2

Answer:

100 cm²

Step-by-step explanation:

The composite shape can be cut into two shapes. One triangle and one rectangle. The sum of their areas is the area of the whole composite shape.

The area of the triangle:

b × h × 1/2

(14 - 2) × 5 × 1/2

60 × 1/2

= 30 cm²

The area of the rectangle:

l × w

14 × 5

= 70 cm²

Add the areas of the two shapes.

30 cm² + 70 cm²

= 100 cm²

The area of the composite shape is 100 cm².


Related Questions

(8x - 4)(7y + 2) multiplying binomials

Answers

Step-by-step explanation:

8x(7y+2)-4(7y+2)

=56xy+16x-28y-8

Answer:

56xy+16x-28y-8

Step-by-step explanation:

you have to use the FOIL method to solve this is problem which is

F-First

O-Outer

I-Inner

F-Last

A school crossing sign is shown. Find the measures of angle A and angle C

Answers

Answer:

m∠A = 135°

m∠C = 135°

Step-by-step explanation:

There are 540° in a pentagon.

You are given 3 90° angles

540-90(3) = 270

∠A and ∠C are congruent

270/2 = 135° each

what is the area of the figure below use 3.14 for pie

Answers

Answer:

Answer CL  586 cm^2

Step-by-step explanation:

Hello.  It's pi, not pie.

The area of the triangle is A1 = (1/2)(base)(height) = (1/2)(18 cm)(7 cm), or

A1 = 63 cm^2.

The area of the rectangle is A2 = (base)(height) = (18 cm)(22 cm) = 396 cm^2.

The area of the semicircle is A3 = (1/2)(pi)(9 cm)^2 = 3.14(81 cm^2)(1/2) = 127 cm^2

Thus, the total area of the figure is A = 127 cm^2 + 396 cm^2 + 63 cm^2, or

586 cm^2 approximately.

Answer:586.2( option C)

please see the attached picture for full solution...

Hope it helps...

Good luck on your assignment....

On Monday, Crisitan groomed 15 dogs in 10 hours and Kenneth groomed 10 dogs in 8 hours. If they each make $12.75 per dog, how much did they each make on Monday?

Answers

Answer:

Christian made $191.25 and Kenneth made $127.50 each.

Step-by-step explanation:

With each dog, you multiply how many dogs with the amount of cash they get each dog.

Christian: 15x12.75= $191.25

Kenneth: 10x12.75= $127.50

So you just multiply the amount of dogs with money :)

Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form.

Answers

Answer:

Equation of a line y = mx + c

m = slope

m = 2

Using point ( -4,3)

Equation of the line is

y - 3 = 2(x +4)

y - 3 = 2x + 8

y = 2x + 8 + 3

y = 2x + 11

Hope this helps.

Answer:

B. Y = 2x + 11

Step-by-step explanation:

Got it right on edg.

Which equation is parallel to the line y=2x+6 and passes through the point (8,1)?
y = 2x+6

y = 2x-15

y = 2x+10

y = -2x-7

Answers

The answer is y = 2x - 15

The equation of a line is y = mx +c

m = slope

c = y intercept

From this equation y=2x+6

m = 2

Since the lines are parallel their gradients are also the same

Equation of the line using point (8,1) is

y - 1 = 2(x-8)

y - 1 = 2x - 16

y = 2x - 15

Hope this helps

Answer: y=2x-15

Step-by-step explanation: Since the lines are parallel their slopes will be the same, so all you need to do is plug in (8,1) in the x and y values of the equation: y=2x+b. When you do this you get 1=2(8)+b. Simplify. The b value will be -15 which is the y-intercept so the answer is y=2x-15

If y varies directly with x, and y is 14 when x is 2,
what is the value of x when y is 35?
X =
DONER
nt of

Answers

Answer: x = 5

Step-by-step explanation:

14 / 2 = 7

7 * 5 = 35

Same applies for x

2 / 2 = 1

1 * 5 = 5

how do you write 25 x 10^6 in standard form

Answers

Answer:

2.5*10^7

Step-by-step explanation:

Answer:

Brainliest!!!

Step-by-step explanation:

See picture

Work out the area of this circle with a radius of 6mm. Give your answer in terms of pi

Answers

Answer:36π mm^2

Step-by-step explanation:

Formula for area of a circle =

πr^2

r=6mm

π*6^2

π*36

36π mm^2

Answer:

36 π mm²

Step-by-step explanation:

r= 6 mm

A= πr²

A= π* 6²= 36 π mm²

A boy carries a 2 kg bag and walks 8m on a level road to his house. How much work has he done by carrying the bag? a. 4 J b. 16 J c. zero

Answers

Answer:

160J

Step-by-step explanation:

I think this is the answer

what is the nth term rule of the linear sequence below 15, 7, -1, -9, -17

Answers

Answer:

8n+7

Step-by-step explanation:

given that £1=$1..62 what is 650 pounds in dollars

Answers

1 pound = 1.62 dollars.

Multiply total pounds by 1.62 for total dollars.

650 x 1.62 = $1,053

Which point is in Quadrant IV?

Answers

Answer:

1,1 or -1,3

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

bottom right quadrant is IV

A standard six-sided die is thrown. What is the probability that the number
that comes up is less than or equal to 2?​

Answers

Answer:

2/6 or 1/3

Step-by-step explanation:

There are two numbers who are equal or less than 2 its 1 and 2

And the total is 6 so its 2/6 which is 1/3

Sorry if this is late

Answer:

0.33

Step-by-step explanation:

Can you help me with this question

Answers

Answer:

-1.67

Step-by-step explanation:

The model below can be used to find the quotient of 1/2÷1/4. What is the quotient?​

Answers

Step-by-step explanation:

The quotient is 0.125

I think this should be the answer

Answer:

0.125

Step-by-step explanation:

3 quarts but in cups

Answers

Answer:

12 cups

Step-by-step explanation:

there are 4 cups in 1 quart.  You multiply both of them by 3 so there are 12 cups in 3 quarts

Answer:

12 cups

Step-by-step explanation:

1 quart = 4 cups

4*3 = 12

12 cups

brainliest??

Work out the surface area of this cylinder
8.2 cm
17.5 cm

Answers

Answer: 1324.12 sq. cm.

Step-by-step explanation:

A=2πrh+2πr2

A = 2π x 8.2 x 17.5 + 2π x 8.2^2

A = 2π x 143.50 + 2π x 67.24

A= 1324.12

Answer:

SA = 1324.1 cm²

Step-by-step explanation:

Surface Area of Cylinder = [tex]2\pi rh+2\pi r^2[/tex]

Where r = 8.2 cm, h = 17.5 cm

=> SA = [tex]2(3.14)(8.2)(17.5)+2(3.14)(8.2)^2[/tex]

=> SA = [tex]901.6+2(3.14)(67.24)[/tex]

=> SA = 901.6 + 422.5

=> SA = 1324.1 cm²

A car travels at the speed x + 30 kilometers in one hour, where x is an unknown. Find x if this car covers 300 kilometers in 3 hours?

Answers

Answer:

[tex]x=70[/tex]

Step-by-step explanation:

We know that the car travels at speed [tex]x+30[/tex] per hour. Thus, after [tex]h[/tex] hours, it will have traveled [tex]h(x+30)[/tex] kilometres.

We are given that it traveled 300 kilometres after 3 hours. So, we have...

[tex]300=3(x+30)[/tex]

[tex]100=x+30[/tex]

[tex]x=70[/tex]

Maria, Max, Molly, and Mitch are all picking apples at an orchard. The number of apples Max picks is the number of apples Maria picks squared. Molly picks the number of apples that Max and Maria pick combined. Mitch picks the number of apples Molly picks squared plus the number of apples that Maria picks. If Maria picks 3 apples, then how many apples does Mitch pick

Answers

Answer:

147

Step-by-step explanation:

Given: Maria=3

Max=3 squared=9

Molly=Max+Maria=9+3=12

Mitch=Molly squared+Maria=144+3=147

Hope this helps!

Solution:

Since Max picks the number of apples that Maria does but squared, then Max picks 3^2=3 * 3=9 apples. Since Molly picks the number of apples that Maria picks plus the number that Max picks, Molly picks 3+9=12 apples. Finally, Mitch picks the number Molly picks squared plus the number Maria picks, so Mitch picks 12^2+3=12 * 12 +3=144+3=147 apples.

The volume of a cube is 8cm3, find the length of one of it's sides​

Answers

Answer:

The side length is 2 cm

Step-by-step explanation:

The volume of a cube is s^3

V = s^3

8 = s^3

Take the cube root of each side

8 ^ 1/3 = s^3 ^ 1/3

2 = s

The side length is 2 cm

Answer:

2 cm

Step-by-step explanation:

The volume of a cube can be found using the following formula:

V=s^3

where s is the length of one side. We know the volume is 8 cm^3, therefore we can substitute that value in for V.

8 cm^3=s^3

We want to find what the side length is. The side length is being cubed. The inverse of a cube is the cube root. Therefore, we must take the cube root of both sides, or raise both sides to the power of 1/3.

(8 cm^3)^1/3=(s^3)^1/3

(8 cm^3)^1/3=s

2 cm=s

The length of one side is 2 centimeters.

a number between 891 and 909 that is divisible by 10​

Answers

Answer:

[tex]900[/tex]

Step-by-step explanation:

[tex]892/10=89.2\\893/10=89.3\\894/10=89.4\\895/10=89.5\\896/10=89.6\\897/10=89.7\\898/10=89.8\\899/10=89.9\\900/10=90\\901/10=90.1\\902/10=90.2\\903/10=90.3\\904/10=90.4\\905/10=90.5\\906/10=90.6\\907/10=90.7\\908/10=90.8\\909/10=90.9[/tex]

A number between 891 and 909 that is divisible by 10 is 900

Jacob is asked to simplify the expression-3a+4b+5a+(-7b) -3a+4b+5a+(-7b) = -3a+5a+4b+(-7b) which property is this ?

Answers

Combining like terms.

Answer:

B

Step-by-step explanation:Communative property.

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded. Which linear inequality is represented by the graph? y ≤ 2x + 4 y ≤ one-halfx + 3 y ≥ One-halfx + 3 y ≥ 2x + 3

Answers

Answer: [tex]y \leq \frac{1}{2} x+3[/tex]

Step-by-step explanation:

If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.

First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.

You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.

3 - 1 = 2

0 - (-4) = 4

2/4 = 1/2

The new equation is:

[tex]y=\frac{1}{2} x+b\\plugin(0,3)\\3=\frac{1}{2} (0)+b\\b=3[/tex]

Everything is shaded below and to the right of the line. They said the line was solid, so that means less than or equal to, [tex]\leq[/tex]

Answer:

B

Step-by-step explanation:

The tip jar at a sandwich shop has been found to have a dollar value 0.65ℎ +1.25, where ℎ is the number of hours since the shop opened.
a. By how much is the value of the tip jar increasing
The tip jar is increasing by 65 cents per hour
b. How much is the initial value of the tip jar when the store opens?

Answers

Answer:

The intial value is 1.25

Step-by-step explanation:

Given the line of best fit for a set of data points with the equation y=5x-2.5, what is the residual for the point (3,6)?

Answers

Answer:   -6.5

========================================================

Explanation:

For the x value x = 3, the observed y value is y = 6 which is from the point (3,6).

The predicted y value is found by plugging x = 3 into the line of best fit equation

y = 5x-2.5

y = 5(3)-2.5

y = 12.5

The residual is the difference between the two y values

e = residual

e = (observed y value) - (predicted y value)

e = 6 - 12.5

e = -6.5

The negative residual tells us the observed y value is smaller than the predicted y value for this given x value.

Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2-5-8
b) -7 -12 -17 -22 -27

Answers

Answer:

a: -3n+1

b:-5n-2

Step-by-step explanation:

a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)

b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.

Hope this helps :),

Lily

Alejandra correctly wrote the equation y - 3 = (x - 10) to represent a line that her teacher sketched. The teacher then
changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent
the new line?
O y-6 = 2(x - 10)
Oy-2 = 5(x - 10)
Oy-3 = {(x-2)
Oy-3 = 2(x - 10)

Answers

I think it’s D but I could be wrong

Can someone help me with the below question???

Answers

Answer:

so 2a+3b=±13

Step-by-step explanation:

4a²+9b²=97

ab=6

2a+3b=?

by using formula

(a+b)²=a²+b²+2ab

(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)

(2a+3b)²=4a²+9b²+12ab

putting values

(2a+3b)²=97+12(6)

(2a+3b)²=97+72

(2a+3b)²=169

taking square root on both sides

√(2a+3b)²=√169

2a+3b=±13

i hope it will help you

Answer:

2a+3b = 13

Step-by-step explanation:

Using this formula

[tex](x+y)^2 = x^2+y^2+2xy[/tex]

Where,

x = 2a and y = 3b

Putting in the above formula

=> [tex](2a+3b)^2=4a^2+9b^2+12ab[/tex]

Putting  4a²+9b² = 97 and ab = 6

=> (2a+3b)² = 97+12(6)

=> (2a+3b)² = 97+72

=> (2a+3b)² = 169

Taking sqrt on both sides

=> 2a+3b = 13

Calculate the lateral area of a right prism with a heptagon base side of 4 feet and a
height of 10 feet.

Answers

Answer:

280 ft2

Step-by-step explanation:

The lateral area of this prism consists of seven rectangles, each one with dimensions 4 feet by 10 feet.

The area of one of these rectangles is:

[tex]A = base * height = 4 * 10 = 40\ ft^2[/tex]

Then, the area of the seven rectangles is:

[tex]Lateral\ area = 7*A = 7*40 = 280\ ft^2[/tex]

So the lateral area of this prism is 280 ft2.

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