Use this picture to name one pair of CORRESPONDING angles:

The percentage of Theo's clients are on the varsity team will be 27%

It is given in the question that

clients, 40% play football

clients, 60% play Baseball

Of the students who play football, 30% are on the varsity team,

50% of Theo's baseball clients are on the varsity team.

So clients who play football and are on the varsity team will be

[tex]0.4\times 0.3=0.12[/tex] = 12%

And clients who play baseball and are on the varsity team will be

[tex]0.6\times 0.5=0.15[/tex]=15%

The total percent of the varsity team will be =12+15=27%

Thus the percentage of Theo's clients are on the varsity team will be 27%

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Answer:

76.6

Step-by-step explanation:

so the nearest tenth is 76.57143

Answer:76.6

Explanation:

Answer:

A. Please find attached the drawing of the reflector showing the location of the focus created with Microsoft Excel

B. The width of the beam of light projected from the headlight's reflector is approximately 6.93 inches

Step-by-step explanation:

The given equation representing the cross section of the headlight reflector is y² = 6·x

The shape of the reflector = Parabolic

The general equation of a parabola is (y - k)² = 4·p·(x - h)

The focus of the parabola, Focus = (h + p, k)

By comparison to the general equation of a parabola, from the equation of the reflector, we have;

k = 0, h = 0, 4·p = 6

∴ p = 6/4 = 3/2 = 1.5

∴ The focus of the parabola = (1.5, 0)

A. Please find attached the graph of the equation of the cross-section of the reflector, showing the filament at the focus, created with Microsoft Excel

B. The depth of the reflector is x = 2 inches

A vertical or horizontal parabola has two x-values for a given y-value or two y-values for a given x-value respectively

For the given horizontal parabola, the width of a parabola at a point is the difference between the two y-values at the point

At x = 2, we have;

y² = 6 × x = 6 × 2 = 12

∴ y = ±√(12)

The two y-values at x = 2 are y₁ = √(12) and y₂ = -√(12)

The width of the parabola, w = y₁ - y₂

The width of the parabola at x = 2, w = √(12) - (-√(12))

∴ w = √(12) +√(12) = 4·√3

The width of the parabola at x = 2, w = 4·√3 inches

The width of the parabola at x = 2 = The width of the beam of light projected from the headlight's reflector = 4·√3 inches

By giving the answer as a decimal and rounded to the hundredths place, we have;

The width of the beam of light projected from the headlight's reflector ≈ 6.93 inches.

Answer:

1.5 inches thick

Step-by-step explanation:

Answer:

height = 5.4 units

Step-by-step explanation:

r = 4.5/2 = 2.25

B = πr² = 3.14(2.25²) = 15.90

V = 1/3Bh

28.63 =1/3(15.90)h

85.89 = 15.90h

h = 5.40 units

Answer:

NO it isnt.

Step-by-step explanation:

Go right of the decimal and throught the different place values. Since the number just right of the decimal is the highest place value, whichever number is greater, holds the greater value.

Answer:

infinite number of solutions

Answer:

Step-by-step explanation:

i dont know

Answer:

y = -1/2x+5

Step-by-step explanation:

South Street: y = 2x-4

Perpendicular slope to 2 is -1/2

Find any point on new street: (2,4)

4 = -1/2(2) + b

4= -1 + b

5 = b

Answer:Ming pays $25.96 to the cab driver.

Step-by-step explanation:

Ming took a cab across town, his fare of cab = $22.00

He leaves a tip of 18% of total fare = 18% of $22.00

Total amount = (18% of $22) + $22.00

( 18/100× 22) + 22.00

= (0.18 × 22) + 22.00

= 3.96 + 22.00

= $25.96

Ming pays $25.96 to the cab driver.

Answer:

A

Step-by-step explanation: Rreminder be happy and stay confident <3

Answer:

12

Step-by-step explanation: each side is 3, and there are 4 sides so 3*4=12

Answer:

is there an image of the story?

Answer:

A. Memory uses general knowledge

I deeply apologize if it's wrong but that's just what I think.

Also, I just took the test with this question and I'm pretty sure I got it correct.

Answer:

Problem 27: 35

Step-by-step explanation:

This is because 7 times (Multiplied) by 9-4 is 35. We get here by doing 9-4=5. This problem then turns into 7(5)

Answer:

A: 6x^2 + 19x + 3

Step-by-step explanation:

6x + 1 (x +3)

use the foil method so first do 6x(x) and you get 6x^2 then 6x(3) + x(1) and you get the 19x then you just do 3(1) and you get your answer which as stated above is 6z^2 + 19x + 3

Answer:

s/2 is the equation

Step-by-step explanation:

Answer:

ab=4c

Step-by-step explanation:

Since a and b are being multiplied, we can just right ab. Since 4 and c are being multiplied, we ca just right 4c.

Answer:

ab=4c

Step-by-step explanation:

Basically, if you see any variables that are together like that or numbers side by side with letters, it means it's just being multiplied! This doesn't however, work with numbers next to numbers. So for example:

Say you have a x b = 5 x 5c

It would be ab = 5 x 5c Because only letters get put next to each other. That's really the only way I know how to explain it. Have a great day and good luck!

Answer:

24240300

Step-by-step explanation:

multiply the numbers thand divide by 2.

Answer:

If the radius is 4, then:

Volume = 1/2(4/3)(π)(r³) = 1/2(4/3)(3.14)(4³) = 134.0 ft³

Answer:

W = t + 200

Step-by-step explanation:

Number of words typed in the first letter = 200

The relationship between the total words typed, W and the number of seconds, t spent on the second letter :

W = number of words typed in first letter + t

W = 200 + t

Choosing any pair of values from the table :

W = 245 ; t = 45

W = 200 + 45

W = 245

Therefore, the number of words, W typed today can be represented as

W = 200 + t

Answer:

h = 125

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

h = 63 + 62 = 125

Answer:

She uses 8.52 kgs of flour in 8 days

There are 6.48 kgs of flour left over after 8 days.

Step-by-step explanation:

First, you need to multiply 1.065 by 8 to get how much flour she uses in 8 days.

1.065 times 8 is 8.52. She uses 8.52 kgs of flour in 8 days.

Now, to get how much flour is left over after 8 days, you need to subtract 8.52 from 15 kgs.

15 - 8.52 = 6.48 kgs.

Answer:

x is 70

Step-by-step explanation:

hope this helps you

Answer:

I think its 19

Answer:

x=16

Step-by-step explanation:

Answer:

6x-12=84 x=16 hope that helps

Step-by-step explanation:

6x-12=84x

   +12 +12

6x=96

then you divide 6 by 96 and thats how you get 16

The given histogram is unimodal skewed.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

This histogram is unimodal skewed.

There are two parts to this answer. The first part has to do with the number of modes.

This would be the item that is occurring the most frequently. In this case the mode is only 4.

It is occurring more than any other.

The second part of this has to do with the distribution of the data as it is displayed on the histogram.

There are 4 pieces of data that are only occurimg one time on the right of the histogram. We call this skewing the data.

When both sides looks almost the same we say it is symmetric.

Hence, the given histogram is unimodal skewed.

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Answer:

c) Step 3

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

the person above me is wrong :)

Answer:

Length of Rectangle is 3 cm less than twice the width

Area is 44 m2 ; let W = width;  2W - 3 = Length

Arect = L times W

44 = W ( 2W - 3 )

44 = 2W2 - 3W

0 = 2W2 - 3W - 44

Factoring

0 = ( 2W - 11 )( W +4)

2W - 11 =0   ;            W + 4 = 0

       W = 11/2                 W = -4  (width can not be a negative number)

Therefor: width is 11/2  and length is 8

Answer:

distance is estimated 11