What is the area of this composite figure?
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A figure is comprised of 2 rectangles. The first rectangle has a length of 10.5 centimeters and width of 15.5 centimeters. The second rectangle has a length of 18 centimeters and width of 11.5 centimeters.

135 centimeters squared

207 centimeters squared

249 centimeters squared

279 centimeters squared

Answer:

f(x + 2) = 5x² + 18x + 19

f(x + 2) - f(x) = 20x + 16

f(x + h) = 5x² + 10hx + 5h² - 2x - 2h + 3

Step-by-step explanation:

1. f(x + 2)

[tex]f(x)=5x^2-2x+3\\f(x+2)=5(x+2)^2-2(x+2)+3\\f(x+2)=5(x+2)(x+2)-2(x+2)+3\\f(x+2)=5(x^2+4x+4)-2(x+2)+3\\f(x+2)=5x^2+20x+20-2(x+2)+3\\f(x+2)=5x^2+20x+20-2x-4+3\\f(x+2)=5x^2+18x+20-4+3\\f(x+2)=5x^2+18x+19[/tex]

2. f(x + 2) - f(x)

[tex]f(x+2)-f(x)\\(5x^2+18x+19)-(5x^2-2x+3)\\5x^2-5x^2+18x-(-2x)+19-3\\0x^2+18x+2x+16\\20x+16[/tex]

3. f(x + h)

[tex]f(x)=5x^2-2x+3\\f(x+h)=5(x+h)^2-2(x+h)+3\\f(x+h)=5(x+h)(x+h)-2(x+h)+3\\f(x+h)=5(x^2+2hx+h^2)-2(x+h)+3\\f(x+h)=5x^2+10hx+5h^2-2(x+h)+3\\f(x+h)=5x^2+10hx+5h^2-2x-2h+3[/tex]

Answer:

153.6

Step-by-step explanation:

Answer:

153.6

Step-by-step explanation:

32x4=128

128x3=384

384x2=768

768/5=153.6

tan θ = 0.952

tan θ = AC ÷ BC

tan θ = 80 ÷ 84

tan θ = 0.952

☆...hope this helps...☆

Reason:

We have this stem-and-leaf plot

[tex]\begin{array}{r|l}\text{stem} & \text{leaf}\\\cline{1-2}5 \ & \ 0 \ 4\\6 \ & \ 5 \ 7 \ 8\\7 \ & \ 5 \ 8\\8 \ & \ 2 \ 4 \ 5 \ 5 \ 5 \ 6 \ 7 \ 8 \ 9\\9 \ & \ 0 \ 0 \ 0 \ 0 \ 4 \ 6 \ 7 \ 9\\\end{array}[/tex]

where something like [tex]5 \big| 0[/tex] represents the number 50.

The most frequent leaf is "0" in the very bottom row. It shows up four times, which is the most of any of the other leaf.

This leaf ties to the stem of 9.

stem = 9 & leaf = 0 leads to the data value 90.

Therefore, the mode is 90

Answer:

25.6 MB

Step-by-step explanation:

Question: 256 MB file tha'ts been downloaded 16.4%

Answer:

42.5 MB.

Step-by-step explanation:

Why?

16.4% of 259 = 42.476

(using a calculator)

Therefore, rounding to the nearest tenth, 42.476 (where the second 4 is) making it 42.5 MB. The 7 (in the hundredths place) is greater than 5 or equal to ( [tex]x\geq 5[/tex] ). This causes the tenths place to round up one number. If the number was less than 5, the tenths place would stay at 4.

Making the answer: 42.5 MB

Hope this helps!

Answer: 808.64 m2

Step-by-step explanation:

The first step in constructing an angle by means of a protractor is; Draw a horizontal ray.

The first step in constructing an angle by means of a protractor involves a sequence of ordered steps as follows;

Read more on Angle construction;

https://brainly.com/question/8607612

Answer:

19.63 in²

Step-by-step explanation:

Given:

[tex]\text{Diameter of circle: 5 inches}[/tex]

Determine the radius of the circle:

The relationship between the diameter and the radius of the circle is that the diameter is two times larger than the radius. Thus, the diameter needs to be divided by two to obtain the radius of the circle.

Determining the area of the circle:

The area of the circle is πr². Let's substitute the measure of the radius to determine the area of the circle.

Simplify the square of 2.5:

Replace π with 3.14 (Approx.):

Furthermore, the question said to round to nearest hundredth...

⇒ 19.63 in² = Area of circle

Answer:

The answer is, y = 1060.64

Step-by-step explanation:

First, you want to multiply both sides by 38, which gives you

38y = 157y -126216.

Then you want to rearrange:

119y = 126216

then you want to divide by 119, which gives you y=126216/119, which is 1060.64

I'll be expecting my reward :)

Answer:

748m³

Step-by-step explanation:

Hello!

The volume of a rectangular prism is determined by the formula [tex]l * w * h[/tex]. To find the volume is to find how much space the object takes up in 3D. The formula is used to find the area of the base ( [tex]l * w\\[/tex] ), or the space taken on a 2D plane and multiplied by the height to give it 3 Dimensions.

Breakdown of [tex]l * w * h[/tex]:

Find the Volume:

Use the formula and plug in values into the formula.

Th units of length are m, and volume is the units cubed, so the units are m³.

The volume is 748m³

Answer:

748

Step-by-step explanation: V= W*H*L

17*11*4= 748m^3

Answer:

Plywood1: x = width ; length = 2x

1) x (2x) = 4.5

2) 2x² - 4.5 = 0

a = 2 ; b = 0 ; c = -4.5

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a} = \frac{0 \pm\sqrt{0-4(2)(-4.5)} }{2(2)}= \frac{\pm6}{4} = \boxed{\frac{3}{2}}x=

2a

−b±

b

2

−4ac

=

2(2)

0±

0−4(2)(−4.5)

=

4

±6

=

2

3

Plywood2: x = width ; length = 2x-1.4

1) x (2x-1.4) = 16

2) 2x² -1.4x -16 = 0

a = 2 ; b = -1.4 ; c = -16

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{1.4 \pm\sqrt{1.96-4(2)(-16)} } < br / > {2(2)}=\frac{1.4 \pm11.4 }{4}=\boxed{3.2}x=

2a

−b±

b

2

−4ac

=

<

1.4±

1.96−4(2)(−16)

br/>2(2)=

4

1.4±11.4

=

3.2

Plywood3: x = width ; length = 5-x

1) x (5-x) = 6

2) -x² +5x -6 = 0

a = -1 ; b = 5 ; c = -6

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{-5 \pm\sqrt{25-4(-1)(-6)} }{2(-1)}=\frac{-5 \pm1}{-2}x=

2a

−b±

b

2

−4ac

=

2(−1)

−5±

25−4(−1)(−6)

=

−2

−5±1

\boxed{x_1=3}

x

1

=3

\boxed{x_2=2}

x

2

=2

BRAIN LESS ANSWER

Answer:

4056/23

Step-by-step explanation:

[tex]\begin{aligned}169+\dfrac{169}{23} & =\dfrac{169}{1}+\dfrac{169}{23}\\\\ & =\dfrac{169\times 23}{1\times 23}+\dfrac{169}{23}\\\\ & =\dfrac{3887}{23}+\dfrac{169}{23}\\\\ & =\dfrac{3887+169}{23}\\\\ & =\dfrac{4056}{23}\end{aligned}[/tex]

Answer: D: 240 Centimeters cubed

Step-by-step explanation:

Volume = LxWxH

Volume = 10 x 8 x 3

Volume = 240cm³

Your answer is D: 240 Centimeters cubed

Answer:

1. $36/4 hours = $9per hour

2. 350miles/7hours = 50mile per hour

3. 1.60 / 20 = $0.08 per pen

1/2 because there are only 2 choices.

This is basically how they got the correct answer.

First they used the area formula:

[tex]\pi \times {r}^{2} [/tex]

So for you that would be:

[tex]\pi \times {9.8}^{2} [/tex]

Which equals

301.7

Since there's a hole in the circle we do the area of a square which is base times height.

Which is 3 x 3 = 9 for your problem

Then we subtract

301.7 - 9 = 292.7 !

Which is almost exactly 292.57 since there is a margin

Answer:

(x_4)^2+(y+1)^2=81

Step-by-step explanation:

you change the signs of the x and y co efficient. The general formula is (a,-b) (x_a)^2+(y+b)^2=r^2

Answer:

15.4

Step-by-step explanation:

∠RSA =

95`

95-18=

77/5=

15.4

4 x 15.4=

61.6+7=

68.6

Answer:

  $2.10

Step-by-step explanation:

The discount is described as 4/5 of 1.75% of the purchase price.

__

For a purchase price of $150, the discount is ...

  discount = (4/5)(1.75%)($150) = $2.10

The discount for using cash is $2.10.

Answer:

3/7

Step-by-step explanation:

This is because you need to count the tick marks to 1.

That should be 7.

Then you count to the red dot.

That should be 3.

3/7

Answer: 3/7

Step-by-step explanation:

There are 7 segments that separates 1 from 0, therefore our denominator of the fraction is 7.

The red dot is on the third tick, making our numerator 3.

Our answer is 3/7, or [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

c = cost per person

p = number of people

The cost per person is 1500/p, where 

is the number of people. A larger p creates a smaller value of c since they are INVERSELY RELATED.

I believe the inverse variation function is

c = 1500 × 1/p

make sure to ask if you need anything else. :)

Answer:

153

Step-by-step explanation:

Triange area = 1/2 b*h

= 1/2 (7)*(9)

=31.5 (for 1 triangle)

2(31.5) = 63 (for 2 triangles, left and right)

Rectangle area = b *h

= 10*9

=90

Total = 2 triangles + rectangle

63+90 = 153

Answer: 108

Step-by-step explanation: the formula, 10+7(2)/2 x 9 = 108

Answer:

The factors that compose the LCF of the difference are :

2x         [tex]\huge\checkmark[/tex]

(x - 2)    [tex]\huge\checkmark[/tex]

(x + 6)   [tex]\huge\checkmark[/tex]

Step-by-step explanation:

x² + 4x - 12 = x² - 2x + 2x + 4x - 12

                  = x² - 2x + (6x - 12)

                  = x(x - 2) + 6(x - 2)

                  = (x - 2)(x + 6)

2x² - 4x = 2x(x - 2)

We get

2x² - 4x = 2x(x - 2)

x² + 4x - 12 = (x - 2)(x + 6)

then

The least common denominator is 2x(x - 2)(x + 6)

Answer:

2nd, 3rd and 6th

Step-by-step explanation:

Factorise the denominators of both fractions

x² + 4x - 12 = (x + 6)(x - 2)

2x² - 4x = 2x(x - 2)

The least common denominator is then

2x(x - 2)(x + 6)

The expression 30t mean that the velocity of the football is 30, while the term 16t² makes the function to be quadratic.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(t) = 6 + 30t – 16t²

Where f(t) is the height of the football after t seconds.

The constant 6 means the football was thrown from a height of 6 feet above the ground.

The expression 30t mean that the velocity of the football is 30, while the term 16t² makes the function to be quadratic.

Find out more on equation at: https://brainly.com/question/2972832

Answer:

10 pieces of Juan's candy was chocolate

Step-by-step explanation:

to find 2/5 of something, you have to multiply.

of means to multiply.

So then you multiply 2/5 by 25.

[tex]\frac{2}{5}*\frac{25}{1} =\frac{10}{1} =10[/tex]

Answer:

80%

Step-by-step explanation:

it’s 82% but rounded its 80

Answer:

∠ F ≈ 24.2°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan F = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{GH}{FG}[/tex] = [tex]\frac{9}{20}[/tex] , then

F = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{20}[/tex] ) ≈ 24.2° ( to the nearest tenth )

4/9

hope it helps...!!!

Answer:

[tex] \frac{4}{9} [/tex]

Step-by-step explanation:

[tex] \frac{80 \div 10}{180 \div 10} = \frac{8 \div 2}{18 \div 2} = \frac{4}{9} [/tex]

Hope this help you out =)