In the diagram below, FG is parallel to CD. If the length of C D is the same as the
length of FE, CE = 17, and FG = 6, find the length of FE. Figures are not
necessarily drawn to scale. State your answer in simplest radical

Answer:

Step-by-step explanation:

the rectangle's area is simply: A = 4 x 8 = 32

the circle's area is : π x 2 x 2 so A = 4π

the half circle's area is : 4π / 2 = 2π

And the final area is A = 32 - 2π = 2 x (16-π)

In rectangle

Area:-

In semicircle

Area:-

Total area=

Answer:

(x² - 13x - 10) sq. ft.

Step-by-step explanation:

f(x) = (x - 5) (3x + 2)

= 3x² + 2x - 15x - 10

= (x² - 13x - 10) sq. ft.

The distance Maya traveled is (6t + 9r) miles

From the question, we are to determine the distance Maya traveled

First, we will determine the speed at which she runs and the speed at which she bikes

Using the formula,

[tex]Speed = \frac{Distance}{Time}[/tex]

Distance = 18 miles

Time = 3 hours

Then,

Speed = [tex]\frac{18}{3}[/tex]

Speed = 6 miles/hour

Distance = 18 miles

Time = 2 hours

Then,

Speed = [tex]\frac{18}{2}[/tex]

Speed = 9 miles/hour

Now, for the distance she ran for t hours

From

Distance = Speed × Time

Distance = 6 × t

Distance = 6t miles

For the distance she bikes for r hours

Distance = 9 × r

Distance = 9r miles

Total distance traveled = 6t + 9r miles

Hence, the distance Maya traveled is (6t + 9r) miles

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Answer:

The answer is B!

Step-by-step explanation:

If you can figure out one part you can get the second part.

I went for the second part and got 471 so the only answer is b!

Have an amazing day!

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Answer:

$4,100

Step-by-step explanation:

600 x $5 = $3000

$3000 + $500 = $3500

$3500 + $200 + $200 + $200 = $4100

Thanks to

27turekkm

Answer:

18

Step-by-step explanation:

I am assuming you mean 2p+4

Substitute P

2(7)+4

14+4

18

Answer:

72500

73205

72968

72758

73261

Answer:

70

Step-by-step explanation:

There are 6 numbers that end with 0 and are between 50 and 100 : 50,60,70,80,90,100. And only 70 is the multiple of 7, so 70 is the number.

Answer: y=0.95x+8.35

Step-by-step explanation: Hi there.

We can use the equation y=mx+b, where

y=the result (in this case the cost of the pizza)

m=the slope (how much each topping costs)

x=input value (how many kinds of toppings the pizza has)

b=initial value (how much the plain pizza costs)

The toppings cost $0.95, and the value of the plain pizza is $8.35

So the equation is: y=0.95x+8.35.

Have a nice day! :)

Answer:

[tex]\implies V=\pi r^2(h-4 r)[/tex]

Step-by-step explanation:

Volume of the canister LESS the volume of 3 tennis balls:

[tex]V=\pi r^2h-3\left(\dfrac43\pi r^3\right)[/tex]

Expand brackets:

[tex]\implies V=\pi r^2h-4\pi r^3[/tex]

Factor:

[tex]\implies V=\pi r^2(h-4 r)[/tex]

Canister is a cylinder

[tex]\\ \rm\rightarrowtail V=\pi r^2h-3(\dfrac{4}{3}\pi r^3)[/tex]

[tex]\\ \rm\rightarrowtail V=\pi r^2h-\dfrac{12}{3}\pi r^3[/tex]

[tex]\\ \rm\rightarrowtail V=\pi r^2h-4\pi r^3[/tex]

[tex]\\ \rm\rightarrowtail V=\pi r^2(h-4r)[/tex]

Angles are the space between intersecting lines, and they are measured in degrees or radians

The measure of angle ABC is y + x

The given parameters are:

ABD=y,

DBC=x,

EFH=y,

EFG=x

PQS = SQR = x

To determine the measure of angle ABC, we make use of angle ABD and angle DBC

Note that angle ABD and angle DBC have common vertices at points B and D

So, we have:

ABC = ABD + DBC

Substitute known values

ABC = y + x

Hence, the measure of angle ABC is y + x

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Answer:

120 security person

Step-by-step explanation:

the ratio is 1:170 so for every 170 people there is one security guard. So you take the number of people attending 20400 and divide by your ratio which is 170.

20400/170 = 120

To give a positive actual net income, the budget can be modified by reducing the amount spent on food and clothes, thereby reducing overall expenses to have the maximum amount of money for fixed expenses.

Option C is correct.

In accounting, the actual net income is defined as an entity's income minus the costs of expenses on goods sold, depreciation, amortization, interest, and taxes.

To determine actual net income, start with gross income, which is the whole amount of money earned, and then deduct costs like taxes and interest payments.

To give a positive actual net income, the budget can be modified by reducing the amount spent on food and clothes, thereby reducing overall expenses to have the maximum amount of money for fixed expenses.

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Answer:

( C ) : This budget can be modified by reducing the amount spent on food and clothes, thereby reducing overall expenses to have the maximum amount of money for fixed expenses and maintaining a positive actual net income

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

1 is lower than 5 so you take away the decimal and it's 5

Answer:

x = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 4[tex]\sqrt{3}[/tex]

Answer:

-6

Step-by-step explanation:

21/7+3(-3)

=3-9

=-6

hope it helps!

have a great day/night ahead ┐( ˘_˘)┌

The least number of seashells Jane collected is 56 seashells.

An inequality is an expression used to show the relationship between two or more variables and numbers.

Let j represent the number of seashells collected by Jane and t represent that of Tom, hence:

j > 2t + 8

For 24 seashells collected by Tom:

j > 2(24) + 8

j > 56

The least number of seashells Jane collected is 56 seashells.

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Answer:

a: 42%

b: 68%

Step-by-step explanation:

Answer:

1. The probability of selecting a senior is 0.42 (42%).

2. The probability of not selecting a freshman is 0.68 (68%).

Step-by-step explanation:

Total students: 19

1. [tex]\frac{8}{19} = 0.42[/tex]

2. [tex]\frac{13}{19} = 0.68[/tex]

Answer:

m1 = 44 m2 = 46

Step-by-step explanation:

On the opposite side of the 1, there is a 44

The 1 and 44 seem like the same angle so m1 is 44

Rectangles have four right angles which measure as 90°

90-44 = 46

Please give brainliest if I helped! :)

Answer: m1 = 44 m2 = 46

Step-by-step explanation:

Answer:

1. 942.48

Step-by-step explanation:

Input the numbers in the formula.

Answer:

[tex](8 + 3) \times (2 - 2) \\ \\ = 11 \times 0 \\ \\ = 0[/tex]

# be careful#

Step-by-step explanation:

We're going to simplify what's in the parentheses first.

[tex](8+3)×(2-2)[/tex]

[tex]11 \times 0[/tex]

When a number is multiplied by 0, the product always remains 0.

[tex]11 \times 0 = 0[/tex]

Answer:

Difference of volume of air = [tex]17182.08cm^{3}[/tex]

Step-by-step explanation:

Radius of ball = 18 cm

Volume of big ball = [tex]\frac{3}{4} \pi o^{3}[/tex]

                               = 4/3 x * 14 X 18[tex]^{3}[/tex]

                               = 7324g * g2/ 3

                               = 24416.64cm^3

Radious of another (small ball) = 12 cm

Volume of small ball = [tex]\frac{3}{4} \pi R^{3}[/tex]

                                  = 4/3 x 3 * 14 X 12^3

                                  = 21703.68/ 3

                                  = 7234 * 56cm^3

Difference of volume = [tex]v_{b} -v _{s}[/tex]

                                   = 24416 * 64 -  7234 * 56cm^3

                                   = 17182 * 08 cm^3

The truss bridge should depict a congruent triangle by having equal sides and angles.

It should be noted that the congruence of a triangle simply means that a triangle that has all the three corresponding sides to be equal.

In this case, after designing the truss bridge model, it's important that the sides of the model are equal. Also, the corresponding angles of the model have to be equal too.

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First box

4/10

0.4 divided by 1

0.4/1 *10

= 4/10

Box on top that's the point where it's 3 away from 4/10

0.7

Bottom

7/10

0.7 divided by 1

0.7/1*10

= 7/10

Next box

0.9

9/10

= 0.9

Applying the Pythagorean theorem, the length of the altitude is: 7.79 units.

The Pythagorean Theorem is given as: c² = b² + a², where c is the hypotenuse.

An altitude of an equilateral triangle bisects the base of the triangle forming equal segments. Therefore, we would have the following:

c = 9

b = 4.5

Length of altitude = a = ?

Thus:

a = √(c² - b²)

a = √(9² - 4.5²)

a = 7.79 units.

Thus, applying the Pythagorean theorem, the length of the altitude is: 7.79 units.

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Answer:

A

Step-by-step explanation:

so we have to use the equation y2 - y1/ x2 - x1 to solve this

8 - 2/ 5 - (-7)

6/12

1/2

The slope of the line is 1/2.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Coordinates:

(-7, 2) and (5, 8)

Now,

Slope.

= (8 - 2) / (5 + 7)

= 6 / 12

= 1/2

Thus,

The slope of the line is 1/2.

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Answer:

(-3,-5)

Step-by-step explanation:

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