Find the area of the compound shape​

Find The Area Of The Compound Shape

Answers

Answer 1

Answer:

15 units²

Step-by-step explanation:

The figure is a trapezoid, whose area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 3 , b₁ = 3, b₂ = 7 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 7) = 1.5 × 10 = 15 units²


Related Questions

In circle B with m \angle ABC= 74m∠ABC=74 and AB=12AB=12 units find area of sector ABC. Round to the nearest hundredth.

Answers

Answer:

92.99

Step-by-step explanation:

The value of area of sector ABC is,

Area = 93.05 square units.

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

In circle B;

⇒ m ∠ABC = 74° and AB = 12 units

Hence, We can formulate;

The value of area of sector ABC is,

Area = (angle / 360)  π r²

Area = (74/360) × 3.14 × 12²

Area = 93.05 square units.

Thus, The value of area of sector ABC is,

Area = 93.05 square units.

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What is the slope of the graph?

Answers

3/1 because of rise over run
(0, -1)
(-1, -4)
The formula is y2-y1/x2-x1
-4 - -1 / -1 - 0
-3/-1
The slope will be positive 3
Sorry if it’s wrong
Hope this helped *smiles*

How many solutions are there to the system of equations graphed below if the lines are parallel? A. Zero B. One C. Two D. Infinitely many ​

Answers

Answer:

A) 0

Step-by-step explanation:

The solution is a couple (x, y) that are the coordinates of the intersection point of the lines.

If the lines are parallel there is no intersection and no solution to the system of equations

The required, system of the equation of the line shown in the graph has no solution. Hence option A. Zero is correct.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Two parallel lines with some space between them are shown on the given graph. The system of equations indicated by the lines cannot be solved since there is no intersection point between them. This indicates that there isn't an x or y value that simultaneously solves both equations.

Thus, option A. zero is correct.

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x^3+5x^2+3x+15 factor the polynomial

Answers

Answer:

(x+5) (x^2+5)

Step-by-step explanation:

x^3+5x^2+3x+15

Using factoring by grouping

x^3+5x^2     +3x+15

x^2(x+5)   + 3(x+5)

Factor out (x+5)

(x+5) (x^2+5)

Answer:

( x + 5 ) (x² + 3)

Step-by-step explanation:

x³ + 5x² + 3x + 15

factor out x²

x² ( x + 5 ) + 3x + 15

factor out 3

x² ( x + 5 ) + 3 ( x + 5 )

factor out x + 5 from the expression

( x + 5 ) (x² + 3)

Which ordered pair is a solution of 2x+4y=6x-y

Answers

Answer:

5y=4x

Step-by-step explanation:

2x = 4y + 8, x - 2y = 4
System of Equations

Answers

Answer:

Step-by-step explanation:

2x=4y+8

divide by 2

x=2y+4

and x-2y=4

or x=2y+4

so both the equations represent the same line.

Which of the following expressions is equivalent to the one shown below? (3/2)8 A 3^8/2^8 B 3^8/2 C 3/2^8 D 8•(3/2)

Answers

Answer:

Step-by-step explanation:

the quadratic function f(x) = ax² + bx + c has tge minimum point (-2,-9) ans f(-1) = -7 Find (a) values of a,b and c
i'll mark u brainliest pls,help​

Answers

Hello again,

"katie deleted your answer to the question Hello,a=2, b=8, c=-1Indeed,y=f(x)=ax...

You've been warned"

Answer is a=2, b=8 and c=-1

Indeed:

y=f(x)=ax²+bx+c

Since (-2,-9) is the vertex,

y=k*(x+2)²-9

Or f(-1)=-7 ==> -7=k*(-1+2)²-9 ==> k=2

f(x)=2(x+2)²-9=2*(x²+4x+4)-9=2x²+8x+8-9

f(x)=2x²+8x-1

A proof: the picture is following.

Given that u=4,t=5,a=10and s=it+1\2at

Answers

21/100
or 0.21

is the answer

HELP WILL GIVE BRAINLIEST

Answers

Answer:

6

Step-by-step explanation:

Follow 1 hour on the y axis to where it meets the line of best fit. In this case it is about 6 puzzles.

determine the period of this function​

Answers

Answer:  C) 6

Explanation:

The function is somewhat sinusoidal but not entirely. Its composed of piecewise line segments when we should have a single continuous smooth curve; however, it's still periodic since it repeats itself.

Let's start at the top at the left most corner. This point has x coordinate of x = 1.

The other endpoint of this top left flat portion is when x = 2. Then the function curve goes downhill until it reaches x = 4. From x = 4 to x = 5, we're at the flat bottom part. From x = 5 to x = 7 is when the function increases.

Once we get to x = 7, the process described earlier starts all over again. So this is when the cycle ends and the length of the period is 7-1 = 6 units. The function repeats itself every 6 units, or you can say the length of each cycle is 6 time units (eg: 6 seconds).

PLISSSSSS HELP!!!!!!!!!!!!!
i will give brainliest.....

Answers

Product is multiplication.

First multiply 0.7 by 2:

0.7 x 2 = 1.4

Because there is only one number to the left of the decimal point the scientific notation remains the same 10^4

The answer is 1.4 x 10^4

Abraham set the table for a picnic using round plates. Each plate has a diameter of 8 inches. What is the area of each plate?

Answers

Answer:

50.265

Step-by-step explanation:

Area is radius square times pi. Radius is half of diameter .Diameter is 8 inches. Radius is 4 inches. 4 squared is 16. 16 times pi is 50.265

which statements are true about the target function? Check all that apply.
tan(PAB) = y/x
tan(APB) = x/y
tan(PAB) = sin(PAB)/cos(PAB)
tan(PAB) = cos(PAB)/sin(PAB)
tan(PAB) = PB/AB

Answers

Answer:

A, B, C, E.

Step-by-step explanation:

.

Given circle O below, if arc AB and arc CD are congruent, what is the measure of angle COD?

Answers

Answer:

C. 70°

The measure of angle COD

Step-by-step explanation:

hope it helps

I need help I’m rubbish at maths and I really don’t know

❤️❤️

Answers

Answer:

160 cm³

Step-by-step explanation:

→ Write down the formula for the volume

Length × Width × Height

→ Find each value

Length = 4, Width = 4 and Height = 10

→ Substitute into formula

4 × 4 × 10 = 160 cm³

someone help me for this algebra task please

Answers

y = 4 + 8 is the answer

Answer:

The answer is

[tex]4+ x[/tex]

Using the definition of linear equation,

[tex]y = 4 + x[/tex]

Is the answer.

After 3 points have been added to every score in a sample, the mean is found to be M 5 83 and the standard deviation is s 5 8. What were the values for the mean and standard deviation for the original sample

Answers

Answer:

Hence the value for the mean is  80 and the standard deviation for the original sample is 8.

Step-by-step explanation:

Mean = 83-3 = 80.

Here the standard deviation didn't change = 8.

SOMEONE HELP ME QUICK!!!

Answers

Answer:

75% probability

Step-by-step explanation:

calculating the total ratio and percentage

2c(u-6)+(u-6) complete the expression

Answers

Answer:

the answer to the expression is u=4

An ice cream cone is 4 in across and 6 in deep. A scoop of ice cream with a diameter of 4 inches is placed on top. If the ice cream completely melts, how much ice cream spills out of the cone? Round answer to two decimal places.​

Answers

Answer:

8.373

Step-by-step explanation:

Cone

Find the volume of the cone

V = 1/3 pi r^2 h

r = d/2

r = 4/2

r = 2 inches

h = 6 inches

pi = 3.14

V = 1/3 * 3.14 * 2^2 *  6

V = 25.12

Half sphere

V = 1/2 (4/3) pi r^3

r = 2 from above calculation

pi = 3.14

V = 2/3 * 3.14 * 2^3

V = 2/3 * 3.14 * 8

V = 16.74

Nothing spills out so I scoop must be a whole sphere. The sphere is 2 times what I calculated it to be or

V = (4/3) * 3.14 * 2^3

V = 33.49 cubic inches

The difference in volume is 33.49 - 25.12 = 8.373

Can someone help me explain this question? :( I have to record myself answering it and send it to my teacher

What is the effect on the graph of f(x) if it is changed to f(x) + 7, f(x + 7) or 7f(x)?

Answers

Step-by-step explanation:

The function f(x)+7 will shift the parent function up 7 units.

The function f(x+7) will shift the parent function to the left 7 units.

The function 7f(x) will stretch vertically by a factor of 7.

Find the area of the shape below.
11 cm
14 cm
9 cm
20 cm

Answers

Answer:

length divided by breadth divided by  height

pls add me as brainliest

Solution:

20 - 1 1 = 9 cm

We can divide figure in 2 parts

rectangle = 14 cmx 11 cm

square = 9 cm x 9  cm

Area of rectangle = 14 * 11 = 154 cm²

Area of square = 9 * 9 = 81 cm²

Total area = 154 + 81

= 235 cm²

I need this ASAP!! Please Help!!


In the diagram, XY is congruent to YZ and the measurement for the arc XQZ is 199 degrees. Find the measurement of the arc YZ in degrees. Show work if can please.

Answers

since XY is congruent to YZ, that means they are equal to each other.

a circle is 360°. we already know XQZ is 199, so we just need to subtract it from 360

360-199 = 161

so arc XYZ is 161. again, since XY=YZ, we know that half of 161 is equal to XY and YZ

161/2= 80.5

YZ= 80.5°

10. The product of two numbers is -30. The sum of the two numbers is 13. Find
the two numbers.

Answers

Answer:

1) 2 × (-15) = -30

It could be 1+12 2+11 3+10 4+9 5+8 6+7 any of those

Consider the following proportion:
2 12
— -—
7 x
Use cross products to write the equation: 2x = 84.
What is the value of x?

Answers

2x = 84 so 2x /2 = 84/= x=42

[tex]\displaystyle\bf 2x=84\\\\x=84:2=42\\\\\boxed{x=42}[/tex]

Ten years from now, Abdul will be twice as old as his son pavel ten years ago, Abdul was seven times as old as pavel how old are Abdul and pavel now?

Answers

Answer:

Age of Pavel = y - 10

→ x - 7y = -60. Now, Calculating X. Hence, Present age of Abdul = 38.

Step-by-step explanation:

hope this is helpful.

How do we write a set -builder method ?​

Answers

Answer: 6(1,2,3)

Step-by-step explanation:

Solve for x. Round to the nearest tenth, if necessary. Calculating Sin or Cos or Tan

Answers

Answer:

1.06

Step-by-step explanation:

cos41⁰ = 0.8 ÷ X

X = 0.8 ÷ cos41⁰

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a right triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

x = Hyp  (for this question)

Cos(41) = 0.8 / Hyp

use your algebra skillz

Hyp = 0.8 / Cos(41)

use your calculator to fund Cos(41) into 0.8

Hyp = 1.060010395  (that's all the decimal places my calc would go out to )

x = 1.1  ( rounded to nearest 10th )

A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let ^ p denote the proportion in the sample who say they support the increase. Suppose that 47% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is

Answers

Answer:

The correct response is "0.0129".

Step-by-step explanation:

Given:

[tex]n=1500[/tex]

[tex]p=0.47[/tex]

[tex]np=1500\times 0.47[/tex]

    [tex]=705[/tex]

[tex]nq=1500\times (1-0.47)[/tex]

    [tex]=795[/tex]

Mean of sampling distribution will be:

[tex]\mu_\hat{p}[/tex] = [tex]0.47[/tex]

hence,

The standard deviation will be:

⇒  [tex]\sigma_\hat{p}[/tex] = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

By putting the values, we get

         = [tex]\sqrt{\frac{0.47(1-0.47)}{1500} }[/tex]

         = [tex]0.012886686[/tex]

         = [tex]0.0129[/tex]

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