Find the areas of the sectors formed by ∠DFE. Round your answers to the nearest hundredth.

7

tan(60) = h/40

h = 40 x tan(60)

h = 40√3

cos(60) = 40/r

r = 40/cos(60)

r = 80

8.

tan(60) = p/82

p = 82 x tan(60)

p = 82√3

cos(60) = 82/t

t = 82/cos(60)

t = 164

9.

tan(60) = 22√3 /x

x = 22√3 /tan(60)

x = 22

sin(60) =  22√3 /k

k = 22√3 / sin(60)

k = (20/3)√3

Question: What is the Question?

The calculation 18/6=108 is not the right representation.

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here: One of the option as 18/6=108

But in the question Jenna buys 6 new shirts at $18

Thus the total cost of the shirts is 18*6=108

But 18/6=3

Thus this expression is not the right calculation.

Hence, The 18/6=108 is not the right representation.

Learn more about BODMAS rule here:

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Answer:

x=-2/3

Step-by-step explanation:

Answer:

x = -2/3

Step-by-step explanation:

don't feel like writing all the fractions but basically isolate the X and the fractions. add them in a calculator divide by the coefficient thats left with x and there you go

Answer:

C. (or the third graph)

Step-by-step explanation:

Answer:

10/1 = 10

Step-by-step explanation:

1) Subtract: 8 - 3 = 5

2) Multiple: 3 * the result of step No. 1 = 3 * 5 = 15

3) Multiple: the result of step No. 2 * 2 = 15 * 2 = 30

4) Divide: the result of step No. 3 : 5 = 30 : 5 = 6

5) Subtract: 16 - the result of step No. 4 = 16 - 6 = 10

Answer:

1st one: 7920   second: 792

Step-by-step explanation:

First way: you can use a calculator and plug in the values

Second way: you can use the formula for combination and permutation.

Permutation: 11!/ (11-4)!

Combination:12!/(12-5)!*5!

NOTE THAT: 5!= 5*4*3*2*1

Answer:

y < -6x+21

Step-by-step explanation:

-12x-2y> -42

Add 12 x to each side

-12x+12x-2y>12x -42

-2y > 12x-42

Divide by -2 remembering to flip the inequality

-2y/-2 < 12x/-2 -42/-2

y < -6x+21

This is in slope intercept form

Answer:

100%

Step-by-step explanation:

The factors of 6 are 1, 2, 3, and 6. Since all of the numbers on the spinner are a factor of 6, there is a 3/3=100% chance of that. Hope this helps!

Answer:

100%

Step-by-step explanation:

I just took the test on edgenity

Answer:

So since the ball is at x=0 at the end.

We plug in it.

h(x) = 16 if you simplify it

Answer:

A dilation stretches or shrinks the original figure. A description of a dilation includes the scale factor (or ratio) and the center of the dilation. The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch).

Answer:

52.195 miles

Step-by-step explanation:

84 km to miles is 52.195 miles

Answer:

x=3/2

Step-by-step explanation:

There is only one solution.

Answer: x=3/2

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

To find the slope, use the formula

m = (y2-y1)/(x2-x1)

   = (2 - -3)/(6 - -2)

   = (2+3)/(6+2)

   = 5/8

Answer:

B

Step-by-step explanation:

Answer:

g(-7)=5

Step-by-step explanation:

-2(-7)-9

14-9=5

Answer:

5

Step-by-step explanation:

G(x)=-2x-9

Let x = -7

g(-7) = -2(-7) -9

       = 14 - 9

       = 5

Answer:

(2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)

Step-by-step explanation:

A sum of cubes is factored in general as

a³ + b³ = (a + b)(a² - ab + b²) , thus

8[tex]x^{6}[/tex] + 27y³

= (2x²)³ + (3y)³ with a = 2x² and b = 3y

= (2x² + 3y)((2x²)² - 2x²(3y) + (3y)²)

= (2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)

Answer: Edmentum/plato

Step-by-step explanation:

Answer:

a^9*b^6

Step-by-step explanation:

a^(-8)                              b              1                                         1

-------- = a^(-3), and   ----------- = ---------  Their product is --------------

a^(-5)                            b^(3)        b^2                                a ^3*b^2

This is the algebraic expression inside the parentheses.  We must now take

the negative 3rd power of this result.

  (a^3*b^2)^3 = a^9*b^6

Answer:

x = 1.32, -5.32

Step-by-step explanation:

x^2 + 4x - 7

Set equal to zero

x^2 + 4x - 7 =0

Add 7 to each side

x^2 + 4x =7

Take the coefficient of x and divide by 2

4/2

Square it

2^2 =4

Add to each side

x^2+4x+4 = 7+4

(x+2)^2 = 11

Take the square root of each side

x+2 = ±sqrt(11)

Subtract 2 from each side

x = -2 ±sqrt(11)

x=1.31662

x=-5.31662

To 2 decimal places

x = 1.32, -5.32

Answer:

Add an "x" between "ninety" and "eight". Ninety x Eight = 720.

90 x 8 = 720

Answer: 2+3

Step-by-step explanation:

Answer:

Integers are whole numbers that are either positive or negative. Operation of signs is important when dealing with integers.

In this case, -3 and -2 are integers that are being added.

if we add -3 by -2 we get -6 because when a negative number is added to a negative number the negative sign does not change

thus, (-3)-2 = -5

Answer: 1950 is how many it will hold.

Step-by-step explanation:

Answer:

0.50

Step-by-step explanation:

The individuals that do and do not wear glasses are evenly split, it is 2/4, therefore the probability that a teenager wears glasses AND watched TV is 0.50.

Just subtract 100 - 50 and you get x = 50

Answer:

x = 50

Step-by-step explanation:

100 -50 = 50

50+50=100

Have a wonderful day and stay safe!

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

Step-by-step explanation:

Answer:

A. Obtuse

Step-by-step explanation:

Supplementary Angles: either of two angles whose sum is 180°

Adjacent: have a common side, a common vertex, and don't overlap

Answer:

a

Step-by-step explanation:

The equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4. Then the correct option is A.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope of the equation is 3. Then the equation of the line is given as,

y = 3x + c

The equation of the line is passing through the point (-3,-5), then the equation of line will be

  y = 3x + c

–5 = 3(–3) + c

–5 = –9 + c

  c = 9 – 5

  c = 4

Then the equation of the line will be

y = 3x + 4

Thus, the equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4.

Then the correct option is A.

More about the equation of line link is given below.

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Answer:

m∠A = 24°

Step-by-step explanation:

m∠A = m∠B

3x-12 = 2x

-2x.      -2x

x-12 = 0

x = 12

3(12)-12 = 24

2(12) = 24

11 (12) = 132

132 + 24 +24 = 180

Answer: a+b = 12

Los triangulos verdes son semejantes entre si por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. De igual forma los triangulos azules son semejantes por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. En general el factor de proporcionalidad de los triangulos es 1:2 siendo en ambos casos el grande el doble del pequeño. Por tanto

a+2 = 2(3)

a=4

10 = 2(b-3)

b=8

Luego a+b = 12