Dana is planning the school picnic and needs to decide what food vendor to
use. She asks 750 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table.
Taco truck Fruit smoothies Total
120
300
Eighth-graders 180
Ninth-graders 110
90
200
Total
290
210
500
What is the relative frequency of eighth-graders who want fruit smoothies?
26

Answer:

A) sin θ = 3/5

B) tan θ = 3/4

C) csc θ = 5/3

D) sec θ = 5/4

E) cot θ = 4/3

Step-by-step explanation:

We are told that cos θ = 4/5

That θ is the acute angle of a right angle triangle.

To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.

Now, the identity cos θ means adjacent/hypotenuse.

Thus, adjacent side = 4

Hypotenuse = 5

Using pythagoras theorem, we can find the third side which is called opposite;

Opposite = √(5² - 4²)

Opposite = √(25 - 16)

Opposite = √9

Opposite = 3

A) sin θ

Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;

sin θ = 3/5

B) tan θ

Trigonometric ratio for tan θ is opposite/adjacent. Thus;

tan θ = 3/4

C) csc θ

Trigonometric ratio for csc θ is 1/sin θ. Thus;

csc θ = 1/(3/5)

csc θ = 5/3

D) sec θ

Trigonometric ratio for sec θ is 1/cos θ. Thus;

sec θ = 1/(4/5)

sec θ = 5/4

E) cot θ

Trigonometric ratio for cot θ is 1/tan θ. Thus;

cot θ = 1/(3/4)

cot θ = 4/3

Answer:

Since I don't know the accuracy of the diagram i would advise you to measure using a divider or a ruler.

Answer:

18

Step-by-step explanation:

Do it by count how many side are there by the squares

Answer:

19

Step-by-step explanation

right on edge 2021

Answer:

x = 0.69 is what i got

Step-by-step explanation:

Answer:

There is no no pic of a square

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

its a right angle and one point is 40 as shown already so 90-40=50 hope this helps

So you would take your 90° angle which is the box on the bottom right hand corner and add 40° which would equal 130° and then you would subtract 180° -130° and you would get 50°.

Answer:

See the Answer Below:) I am certain this is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A. The others are equivalent to 7/8

you just add 8 + 8 + 8 it equals 24. rounded it will be 20

--------------------------------------------------

im pretty sure thats how you do it if not sorry

Answer:

KE=4000J

Step-by-step explanation:

KE=1/2*mv²

KE=1/2×500×16²

KE=250×16²

KE=4000J

Answer:

- Mode-The most repetitive number.

- Median:The number in the MIDDLE when they are IN ORDER.

- Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS.

- Range - THE BIGGEST minus the Smallest.

Step-by-step explanation:

;)

Answer:

mean: average of all the numbers, so add all numbers, divide by the amount of numbers you added

median: sort all the numbers from least to greatest, then the middle is the answer, if there are 2 in the middle, both are the answer

mode: the number that appeared most

range: the largest number minus the smallest number

Answer:

A = 78.5 ft

Step-by-step explanation:

D=10ft

R=D/2

R=5ft

A=πr²

A=π5²

A=π25

A=78.53982

A=78.5ft

Given:

Number of winter coats = 2

Number of hats = 4

Number of scarves = 3

To find:

The total number of different outfit combinations.

Solution:

Number of winter coats is 2. So, the number of ways to select a winter coat from 2 coats is 2.

Number of hats is 4. So, the number of ways to select a hat from 4 hats is 4.

Number of scarves is 3. So, the number of ways to select a scarf from 3 scarves is 3.

So, the total number of ways is:

[tex]2\times 4\times 3=24[/tex]

Therefore, Helen have 24 different outfit combinations.

Answer:

Cost of car including VAT = $17,700

Step-by-step explanation:

Given:

Cost of car without VAT = $15,000

Rate of VAT = 18%

Find:

Cost of car including VAT

Computation:

Cost of VAT = Cost of car without VAT x Rate of VAT

Cost of VAT = 15,000 x 18%

Cost of VAT =  15,000 x 18

Cost of VAT = $2,700

Cost of car including VAT = Cost of car without VAT + Cost of VAT

Cost of car including VAT = 15.000 + 2700

Cost of car including VAT = $17,700

Answer:

a)the first ball taken will be blue

Answer:

[tex]140[/tex]

Step-by-step explanation:

A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:

[tex]3a+b+3=2a+2b+6[/tex]

Solving, we will get a in terms of b:

[tex]3a=2a+b+3,\\a=b+3[/tex]

Now we can substitute a for (b+3) into our equation:

[tex]5a-2b+1=2a+2b+6,\\5(b+3)-2b+1=2(b+3)+2b+6,\\3b+16=4b+12,\\-b=-4,\\b=\boxed{4}[/tex]

Therefore, the length of each side of this polygon is [tex]5(4+3)-2(4)+1=28[/tex].

Since the perimeter of the polygon consists of all five sides, the perimeter is:

[tex]p=28\cdot 5 =\boxed{140}[/tex]

Answer:

ummm they have biography for them but i don't know they full answer

Step-by-step explanation:

Answer:

i cannot read the words

Step-by-step explanation:

Answer:

4 lol

Step-by-step explanation:

free point

Answer:

answer: 2 + 2 = 4

Lol!!!!!!!

Answer:

x = 6

Step-by-step explanation:

I had this question on a test.

Answer:

3 1/3 miles per hour

Step-by-step explanation:

's' = average speed

(5/2 ÷ 3/4) = (s ÷1)

(5/2 ÷ 3/4) = 10/3

10/3 = s/1

cross-multiply:

3s = 10

s = 10/3

s = 3 1/3 miles per hour

Answer:

3/8*5/7=15/56

Answer:

x = 46

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

2(2 + x) = 6(6 + 10)

2(2 + x) = 6 × 16 = 96 ( divide both sides by 2 )

2 + x = 48 ( subtract 2 from both sides )

x = 46

Answer:

f= -15

Step-by-step explanation:

u just have to divide

-75/5= -15  so f equal -15

Answer:

F=-15

Step-by-step explanation:

You want to get f by it’s self so to do that you would have to divide. So you would divide 5 by -75 to get -15 ( it’s a negative because a negative number divided by a positive number is a negative number). To check your math you would take 5 and multiply by -15 and that equals -75 (a negative number times a positive number is a negative number)

Answer:

the answer is D.

Answer:

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

Step-by-step explanation:

Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements about independent and dependent variables that are true.

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

The dependent variable is the number of touchdowns he scores.

y = kx

y = dependent variable. it is the variable that is explained by the dependent variable

x = is the variable that explains the dependent variable

Answer:

2.41

Step-by-step explanation: