You take your friend to Olive Garden for her birthday. The meal cost $25.80 plus a 5% sales tax. You then leave the server a 20% tip. How much did you spend all together?

Answer:

96 cm²

Step-by-step explanation:

From the question,

s = (2πr∅/360)+2r................. Equation 1

Where s = Perimeter of a sector, r = radius, ∅ = angle subtend by the sector at the center of the circle.

Given: s = 40 cm, r = 8 cm

Constant : π = 3.14.

Substitute into equation 1 and solve for ∅

40 = (2×8×3.14×∅/360)+(2×8)

40 = (50.24∅/360)+16

40-16 = 50.24∅/360

50.24∅/360 = 24

50.24∅ = 24×360

50.24∅ = 8640

∅ = 8640/50.24

∅ = 171.97°

Area of a sector (A') = ∅πr²/360

A' = 171.97×3.14×8²/360

A' = 95.997

A' ≈ 96 cm²

Answer:

Area of the composite figure = 84 in²

Step-by-step explanation:

Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH

Area of rectangle DEFG = DE × EF

                                        = 5 × 10

                                        = 50 in²

From ΔBHA,

AB = ED = 5 in [Given]

AH = FA - (GH + FG)

     = 15 - (7 + 5)

     = 15 - 12

     = 3 in.

By applying Pythagoras theorem in ΔABH,

AB² = HB² + AH²

5² = HB² + 3²

25 - 9 = HB²

HB = √16

HB = 4 in

Area of rectangle BCGH = BC × HB

                                         = 7 × 4

                                         = 28 square in.

Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]

                                   = [tex]\frac{1}{2}(BH)(AH)[/tex]

                                   = [tex]\frac{1}{2}(4)(3)[/tex]

                                   = 6 in²

Therefore, area of the composite figure = 50 + 28 + 6

                                                                  = 84 in²

Answer:

The answer is n < 6.

Step-by-step explanation:

[tex] \frac{n}{3} < 6 - 4[/tex]

[tex] \frac{n}{3} < 2[/tex]

[tex]n < 2 \times 3[/tex]

[tex]n < 6[/tex]

Therefor, the answer is n < 6.

Answer:

$6.73

Step-by-step explanation:

Since it says "answer in coins" she could have 24 quarters, 7 dimes, and 3 pennies.

I believe this correct but im not exactly sure

I hope this helps :)

Answer:

$6.73 || 26 quarters, 2 dimes, 3 pennies.

Step-by-step explanation:

If this isn't what you was asking sorry.

Answer:

Option A

Step-by-step explanation:

Range of a function is defined by the set of y-values (output values).

From the given graph,

Y-values of the exponential function given in the graph vary from y = -1 to y = ∞ (excluding both the points)

Therefore, Range of the given exponential function will be y > -1

Option A will be the correct option.

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

To get a common denominator of 10, simply multiply the current denominator by any number to equal 10. The first fraction has a denominator of 2. If we divide 10 by 2, we get the answer 5. This means 2 can be multiplied by 5 to get a denominator of 10. However, what we do to the denominator we must also do to the numerator (multiply by 5).

7/2

7 × 5 / 2 × 5

35/10

3/5

3 × 2 / 5 × 2

6/10

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

[tex]\frac{7}{2}\cdot \frac{5}{5}=\frac{35}{10}[/tex]

[tex]\frac{3}{5}\cdot \frac{2}{2}=\frac{6}{10}[/tex]

Answer:

55

Step-by-step explanation:

complementary angle means either of two angles whose sum is 90°.

we can use this to find that angle abc is 55 and since angle abc and ebf are opposite the measure the same

Answer:

100%

Step-by-step explanation:

It is confirmed to happen, or [tex]\frac{100}{100}[/tex]

Answer:

An event that is guaranteed to happen has a probability of exactly 1

Answer:

i would say R

Step-by-step explanation:

Answer: The answer is R

Step-by-step explanation:

Answer:

x=23

Step-by-step explanation:

solved the variable

Answer:

x = 23

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 3x + 3 + 85 = 180

4x + 88 = 180

4x = 180 - 88

4x = 92

x = 23

Surface area is 1256.64

9514 1404 393

Answer:

  both cost $13 each

Step-by-step explanation:

Let p and a represent the costs of pecan and apple cheesecakes, respectively.

  3p +7a = 130 . . . . . . Lisa's sale

  12p +14a = 338 . . . . Jasmine's sale

Both the ratios of p-coefficients (4) and a-coefficients (2) are "nice" numbers, so "elimination" is a viable solution method here.

Subtracting twice the first equation from the second eliminates 'a'.

  (12p +14a) -2(3p +7a) = (338) -2(130)

  6p = 78 . . . . . simplify

  p = 13 . . . . . . .divide by 6

Substituting into the first equation gives ...

  3(13) +7a = 130

  7a = 91 . . . . . . . subtract 39

  a = 13 . . . . . . . . divide by 7

The cost of one pecan cheesecake is $13; the cost of one apple cheesecake is $13.

__

A graphing calculator can solve the two equations nicely. Below is a graph of them, showing the solution is (p, a) = (13, 13). Graphing calculators and some scientific calculators can also solve these equations when they are written in matrix or augmented matrix form. It can be worthwhile to learn how to use these calculator features.

Answer:

The answer is B

Step-by-step explanation:

9514 1404 393

Answer:

  B.  line AB

Step-by-step explanation:

The terminal point must be named first when naming a ray.

The vertex must be named in the middle when naming an angle.

The order of points does not matter when naming a line.

Answer:

150 inches

Step-by-step explanation:

C=2πr

2·π·24 ≈ 150.79645

Mrs. Lopez need to sew a piece of cloth whose length be 150.72 inches.

A circumference gives the length around a circular object, it is the perimeter used for the circular objects.

Given that a circular tablecloth has a radius of 24 inches, we need to find the length around it,

So, the length around a circular object is its circumference,

We know that circumference of the circular object = π × diameter,

Diameter = 2 × radius = 48 inches.

So, the length around the circular cloth = π × 48

= 3.14 × 48
= 150.72

Hence Mrs. Lopez need to sew a piece of cloth whose length be 150.72 inches.

Learn more about circumference, click;

https://brainly.com/question/28757341

#SPJ2

Answer:

If she made LESS than $48, then she worked 5 hours. But If she made exactly $48, then she worked 6 hours.

Step-by-step explanation:

MARK ME BRAINLIEST?

Answer:

663

Step-by-step explanation:

the total number of students can be determined using this equation :

(total ratio of Chinese and Indian students / total ratio of students) x n = 468

total ratio of Chinese and Indian students = 4 + 8 = 12

total ratio of students 4 + 8 + 5 = 17

N = TOTAL NUMBER OF STUDENTS

12/17) x n = 468

multiply both sides of the equation by 17/12

n = 663

Answer:

X=-2, y=3

Step-by-step explanation:

Answer:

b is increased by 17% : A and E

b is decreased by 17%: H and J

Step-by-step explanation: took the test

Answer:

N/A

Step-by-step explanation:

Get the Desmos graphing calculator app. it is very helpful when graphing and needing to be able to compare functions

Answer:

4 inches

Step-by-step explanation:

Answer:

where is the picture?

Step-by-step explanation:

Answer:

B) 1/5

Step-by-step explanation:

Remy has 2 taxis, and 10 cars in all. It is asking for the probability that Remy will choose a taxi. Divide the amount of taxis from the total amount of cars. Simplify the fraction:

2/10 = (2/10)/(2/2) = 1/5

B) 1/5 is your answer.

~

Answer:

Mmmmm maybe is A 1/10 por que se suman todas las posibilidades y luego se le coloca la cantidad que podria elegir

Answer:

28,980

Step-by-step explanation:

Easy claps my boiiiiiiiii

Hail Hydra

Answer:

Depends

Step-by-step explanation:

PS4 has a better gaming system and better games (Spiderman example)

But Xbox has the better controller. I think Xbox is better I prefer it but it doesn't really matter.

Answer:

2+2 is 4

Step-by-step explanation:

plz mark me brainest answer

Answer:

6

Step-by-step explanation:

I found that the greatest common factor for those numbers is 6