Find the area of the trapezoid.
5 cm
3 cm
7cm
OA. 18 cm²
OB. 15 cm²
OC. 35 cm²
D. 21 cm

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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Answer:

P(notA) ≈ 0.685

Step-by-step explanation:

The total food ordered from A is 319+34 = 353
The total food Ordered from ANY restaurant is the sum of the 8 values:
319+34+277+57+249+33+131+19 = 1119

The probability P(A) Is given by:

\(P(A) = \frac{353 }{1119}\)  
P(notA) = 1 - P(A)

So P(A) ≈ 0.315 (rounded to 3DP)

P(notA) ≈ 0.685

Answer:

16.04°

Step-by-step explanation:

\(2.8 \: rad = x \: degrees \\ \)

1rad × 180/π = 57.296°

\(x = 2.8 \times \frac{180}{\pi} = 16.0428 \\ x = 16.04\)

Answer:

I-

Step-by-step explanation:

Answer: C equals 2.

Step-by-step explanation:

37 + (-2c - 3) = 4c + 20 +c (distribute)

34 - 2c = 5c +20 (combine like terms)

14 = 7c (divide)

c = 2

Answer:

Quadrant 4

Step-by-step explanation:

Since the point is (7, -8), x is 7 and y is -8. To plot this point, you would move right 7 and down 8. After you do this, you would be in the bottom right corner, which is quadrant 4. Therefore, the point (7, -8) would be on quadrant 4.

Answer:

n=91

Step-by-step explanation:

(n×7)+2=100

n+9=100

-9 from both sides

n=91

The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20

We have the following definitions in the question

If the total questions is 20, then

Incorrect answers = 20 - x

So, the points gained/lost are

Gained = 5 * x = 5x

Lost = -2 * (20 - x) = -2(20 - x)

Bonus = 20

Add the above points to get the function S(x)

S(x) = 5x - 2(20 - x) + 20

Hence, the definition is S(x) = 5x - 2(20 - x) + 20

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

1050

Step-by-step explanation:

I'm pretty positive it would be 1050 by multiplying 50 and 20 and adding 50

The total number of seats in the auditorium are 2225.

Given is that an auditorium has 50 rows of seats. The first row has 20 seats, the second row has 21 seats, the third row has 22 seats.

We can write the sequence as -

20, 21, 22, 23, 24, .......,

It is a arithmetic sequence. We can write the total number of seats in the auditorium as the sum of the terms of the sequence. We can write -

S{n} = (50/2)(2 x 20 + 49 x 1)

S{n} = 25(40 + 49)

S{n} = 25 x 89

S{n} = 2225

Therefore, the total number of seats in the auditorium are 2225.

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Answer:

500

Step-by-step explanation:

20%x = 100

x = 100 * 100/20

x = 100 * 5

x = 500

Hope this helped!

Answer:

52.9º

Step-by-step explanation:

complementary is when the sum of two angles is 90 degrees

to solve, simply take 37.1 and subtract it from 90:

⇒ 90 - 37.1

⇒ 52.9

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Answer:

x=4

y=1

Step-by-step explanation:

Answer:

3 ft 4 in.

Step-by-step explanation:

6/2 = 3

8/2 = 4

6 ft 8 in. divided by 2 = 3 ft 4 in.

Answer:

D. More than 25% of the students chose football and tennis as their favorite sport to play

Step-by-step explanation:

From the dot plot :

Sport __Number of students

Hockey = 4

Track = 2

Tennis = 3

Basketball = 12

Soccer = 6

Football = 10

Golf = 5

Baseball = 8

Total = (4+2+3+12+6+10+5+8) = 50

Students of basketball, golf and track = (12 + 5 + 2) = 19 ; 19 /50 =

Percentage that chose base ball = 8 /50 *100 = 16%

(soccer + hockey) = (6+4) = 10/50 = 1/5

Football + tennis = (10 + 3) = 13

13/50 = 0.26 * 100% = 26% (True)

Answer:

SsStep-by-step explanation:

Answer:

Cost of shoes is $33.45 and cost of tie is $36.4

Step-by-step explanation:

Let the cost of shoes be x and cost of tie be y.

x+y = 69.85

x = y-2.95

plugging it in the equation,

x+y = 69.85

or, y-2.95+y = 69.85

or, 2y =69.85+2.95

or, 2y = 72.8

so, y = 36.4

Now,

x = y-2.95

or, x = 36.4 - 2.95

so, x = 33.45

Answer:

I need help with this question too do you know the answer

Step-by-step explanation:

Answer:

the answer is If James cast his fishing pole 64 times  then  he caught 8 fish. The equation F=1/8P can be used to calculate the number of fish James caught given the number of times he cast his fishing pole.

Step-by-step explanation:

64 divided by 8 is 8 or you can create a chart showing 8,1624,32,40,48.56,64 and on the other side showing 1,2,3,4,5,6,7,8 those are factors.and then since the equation is that p is the number of times he cast his fishing pole and F is the number of times he caught a fish you can say F=1/8P or F= 1 divided by 8P

The other options provided, -3x - 1, -x - 12, and -x - 3, do not match the simplified form of the given expression. Only -3x - 4 corresponds to the original expression after simplification. It is important to carefully distribute and combine like terms to simplify expressions correctly.

The expression shown is 2 + 2(x – 3) – 5x. To find an equivalent expression, we need to distribute the 2 to both terms inside the parentheses, resulting in 2x - 6. Now we can simplify the expression further:

2 + 2x - 6 - 5x

Combining like terms, we have:

(2x - 5x) + (2 - 6)

This simplifies to:

-3x - 4

Hence, the expression -3x - 4 is equivalent to 2 + 2(x – 3) – 5x.

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Answer:

4 lbs : 4x + 6.50 = 22.50

Subtract 6.50 from 22.50 and divide the remaining number by 4.

Answer: (a )$30648.54  (b)$882,346.73    (c)  $1,544,700.15

Step-by-step explanation:

Formula: \(A=Pe^{rt}\) , where P= principal , r=rate of interest, t= time

Given : P= $10,000, t = 112 years

(a) r = 1% = 0.01

\(A=(10000)e^{0.01\times112}\)

\(A=(10000)e^{1.12}=10000(3.06485420)\approx 30648.54\)

Hence, Amount = $30,648.54

(b) r = 4% = 0.04

\(A=(10000)e^{0.04\times112}\)

\(A=(10000)e^{4.48}=10000(88.2346726757)\approx 882346.73\)

Hence, Amount = $882,346.73

(c) r = 4.5% = 0.045

\(A=(10000)e^{0.045\times112}\)

\(A=(10000)e^{5.04}=10000(154.470015026)\approx 1544700.15\)

Hence, Amount = $1,544,700.15

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

Hence, He had to pay $ 18.11 for the tip on a restaurant bill.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Josiah ate dinner at a restaurant and his bill was $15.75,

He wanted to leave  15% tip,

Then He had to pay,

=15.75+15 % of 15.75

=15.75 + 0.15*15.75

=18.11

Hence, He had to pay $ 18.11 for tip on the restaurant bill.

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Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

Answer:

f¯¹(x) =9x+18, for the pictorial(image) question

what is the send question is it asking derivative or inverse

If it is inverse f¯¹(x)=-x-2 as it is

Or if it is derivative f'(x)=-1

Step-by-step explanation:

For the image question f(x)=1/9x-2,f¯¹(x)=?

f(x)=1/9x-2............given

y=1/9x-2................swapping f(x) by y to Easily write

x=1/9y-2................interchanging x and y

1/9y-2=x................changeling side of equation

9(1/9y-2)=(x)9.......multiplying both sides by 9 to override the fraction on the right side

y-18=9x

y=9x-18.................Return to where it were

f¯¹(x)=9x+18..........swap back f¯¹(x) in the y

For the question f(x)=-x-2,f¯¹(x)=?

following the ☝️ arrangement

y=-x-2

x=-y-2

-y-2=x

-y=x+2

y=-x-2

f¯¹(x)=-x-2