Question 2 (6 points)
Jerry bought a slice of cake with a central angle of 60 degrees where the radius of the cake was
8 centimeters. What is the surface area of Jerry's slice of cake?
To get full credit:
1. Make a sketch of the situation including the central angle and radius (2 points)
2. Calculate the area of the slice of cake (3 points)
3. Leave answers in terms of T. (1 point)

100% - 30% = 70%

The shirt is selling for 70% of the original price.

Multiply the original price by 70%

26.98 x 0.70 = 18.89

The sale price is $18.89

Answer:

$18.89

Step-by-step explanation:

26.98x0.3= 8.094

26.98-8.094= 18.886

Answer:

B = 42

Step-by-step explanation:

B × 2/7 = A

A ÷ 2/7 = B

12 ÷ 2/7 = B

B = 42

Step-by-step explanation:

simple

multiples of 6= 1, 2, 3, 6

multiples of 12= 1, 2, 3, 4, 6, 12

.L.C.M of 12 and 6= 12

Answer: (c)

Step-by-step explanation: Direct Variation describes a relationship in which one quantity is a multiple of the other quantity

Answer:

??

Step-by-step explanation:

Can't see that clear

Answer: 5

Step-by-step explanation:

Answer:

what are the phrases to choose from?

Step-by-step explanation:

Answer:

The first option

Step-by-step explanation:

slope is -2/6

I.e. -1/3

Answer:

34 dollars were discounted

Step-by-step explanation

40  percent of 85 is 34

Answer:

no

Step-by-step explanation:

cause she will need (4 x 2) X 30

Step-by-step explanation:

everything can be found in the picture

Answer:

  f(n) = -3n + 23

Step-by-step explanation:

Just got it right on EDG.

Answer:

The ratio of any two corresponding lengths in two similar geometric figures.

Step-by-step explanation:

You can see immediately that the length of each of the sides in triangle DEF is equal to the length of the corresponding side in ABC multiplied by “a”.

If you divide the length of DE by the length of AB:

a^2/a =a.

You get a scale factor of “a”

Answer:

Step-by-step explanation:

first arrange the data from ascending to decending order

1,5,8,10,11,14,17,19,20,23

Q1=(N+1)/4

=(10+1)/4

=11/4

=2.75

=2 nd item+(3 rd -2 nd)term

=5+(8-5)

=5+3

=8

Q2=(N+1)/2

=(10+1)/2

=11/2

=5.5 term

=(5 th term+6 th term)

=(11+14)/2

=25/2

=12.5

Q3=3(N+1)/4

=3(10+1)/4

=3*11/4

=33/4

=8.25

=8 th term +(9 th -8 th )term

=19+(20-19)

=19+1

=20

Answer:

distance divided by time

Step-by-step explanation:

distance is the speed of the moving object multiplied by the time taken to complete a certain distance therefore the speed is the distance covered divided by the time taken.

Answer:

Step-by-step explanation:

Answer: 59.04

Step-by-step explanation:

tan 16= x/200

tan16/1=x/200  

200 tan 16=x  

x=57.349077...

x=57.349077...

Add 1.69, the distance from the ground to her eye:

57.349077...+1.69= 59.039077...

≈   The skyscraper is 59.04 meters tall.

You can use right triangles to get the height of the skyscraper.

The height of the skyscraper is 59.04 meters approximately.

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation. See the figure where angle DCE is the angle when Penelope saw the skyscraper. It  is measured from the horizontal line DC.

Remember that we assume that building is vertical to the ground. This means, there is 90° formation.

Since the distance from the base of the building is given and the angle of elevation is given, we have enough data to construct a specific right triangle where the vertical line opposite to the angle of elevation is of the measure of the height of the building.

And then we can use tangent ratio which relates perpendicular and base to the considered angle.

Remember that trigonometric ratios are defined for right triangles only(those triangles who have one of the angle as of 90 degrees).

See the diagram attached below, where the length AE is the building's height. AD is same as CB which is height of Penelope(a person who is watching the top of that given skyscraper).

For the right angle triangle EDC, and for the angle considered ∠ECD, we have the perpendicular as side opposite to the angle ∠ECD which is ED and the base is DC. Thus, the tangent ratio of ∠ECD is given by

[tex]tan(\angle ECD) = \dfrac{Perpendicular \: to \: \angle ECD}{Base \: to \: \angle ECD } = \dfrac{ED}{DC} = \dfrac{h - 1.69}{200}\\tan(16^\circ) = \dfrac{h - 1.69}{200}\\[/tex]

DC = AB and DA = CB because of ABCD being a rectangle because of building and person both standing vertical to the ground and the line DC being parallel to the ground, thus all angles being right angle(of 90 degrees).

From the calculator, the value of tan(16°) is approx 0.2867

Thus, putting this value in the obtained equation, we get:

[tex]tan(16^\circ) = \dfrac{h - 1.69}{200}\\0.2867 = \dfrac{h-1.69}{200}\\\\0.2867 \times 200 = h - 1.69 \\57.35 + 1.69 = h\\h = 59.04 \: \rm meters[/tex]

Thus, the height of the specified skyscraper is  approx 59.04 meters.

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

Answer:

Yes.  A propotion is to check if two things are equivelent.  The ratios 4:18 and 2:9 are equivelent.

Answer:

Step-by-step explanation:

take 69 degree as reference angle

using sin rule

sin 69=opposite/hypotenuse

0.93=7.2/x

x=7.2/0.93

x=7.74

x=7.7

Answer:

sin x° = opposite ÷ hypotenuse

Step-by-step explanation:

Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.

If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:

S - sine

o - opposite

h- hypotenuse

C - cosine

a - adjacent

h - hypotenuse

T - tangent

o - opposite

a - adjacent

Answer:

A

Step-by-step explanation:

F(x) = 4x^2 + 1

G(x) = x^2 - 5

(F-G)(x) = (4x^2+1 - x^2-5)

collect like terms

(F-G)(x) = (4x^2-x^2 + 1-5)

= (3x^2 - 4)

Answer:

11. = D) x is greater than or equal to -1

12. = A) x is less than -2

Step-by-step explanation:

Answer:

11. -1 ≤ x

or

x ≥ -1, D

Because it is starting at -1, and the arrow is pointing up showing that x is greater than. BUT the circle is not hallow and is filled meaning that is is greater than, OR EQUAL TOO.

12. X < -2, A

Because it is starting at -2 and is going down showing that -2 is greater, and since the circle is hallow it just means X is less than NOT OR EQUAL TOO.

Answer:

it is 6 yards

Step-by-step explanation:

since 1 yard is equal to 3 feet, 18 feet divided by 3 is 6

hope this helped :D

Answer:

option 2, because g-h and j -k is congruent

Answer:

Following are the solution to the given question:

Step-by-step explanation:

For point a:

[tex]6.5 - 4.9 = 2.4 \\\\\frac{2.4}{1.2} = 2 \\\\\sigma \ \ so \ k = 2[/tex]

For point b:

[tex]\frac{3}{1.2}\ \ \sigma\ \ so \ k =\frac{3}{1.2} \ \ so\ \ 1- \frac{1}{k ^2} = 0.84[/tex]

For point c:

Once again, we have k = 2 though with Chebyshev discrepancy of witness numbers in the same number of standard deviations off mean = at least 75 percent.

Answer:

30.

3×4=12

12×5=60

60÷2=30

Answer:

(x - 5)(x + 2)(x + 5)

Step-by-step explanation:

x³ + 2x² - 25x - 50

x³ + 7x² - 5x² - 35x + 10x - 50

x(x² + 7x + 10) - 5(x² + 7x + 10)

(x - 5)(x² + 7x + 10)

(x - 5)(x² + 2x + 5x + 10)

(x - 5)(x(x + 2) + 5(x + 2))

(x - 5)(x + 2)(x + 5)

Answer:

[tex]y = \frac{3}{4}x - 3[/tex]

Step-by-step explanation:

If it has a slope of 3/4, then it will look like this:

[tex]y = \frac{3}{4}x + b[/tex]

If it passes through (4, 0), than y = 0 when x = 4

[tex]y = \frac{3}{4}(4) + b[/tex]

[tex]y = 3 + b[/tex]

[tex]b = -3[/tex]

Therefore, the equation is [tex]y = \frac{3}{4}x - 3[/tex].

Answer:

i don't know ok thank you bye