mr.ford select 2/5 of 120 people who tied out for theatrical production​

Answer: 26.8 feet

Step-by-step explanation:

In the figure attached you can see two right triangles  triangle ABD and a triangle ACD.

You are located at point B and the other person at point C.

The approximate height of the lifeguard station is x.

Keep on mind that:

[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]

Therefore:

For the triangle ABD:

[tex]tan(36\°)=\frac{x}{DC+11}[/tex]    [EQUATION 1]

For the triangle ACD:

[tex]tan(46\°)=\frac{x}{DC}[/tex]    [EQUATION 2]

Solve from DC from [EQUATION 2]:

[tex]DC=\frac{x}{tan(46\°)}[/tex]

Substitute into [EQUATION 1] and solve for x:

[tex]tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x[/tex]

[tex]x=26.81ft[/tex]≈26.8ft

30k just multiply the 2 by 15 and get 30k

Answer:

c.) (3x^ -3)/4

Step-by-step explanation:

when you move something from the top to the bottom or vice versa, it becomes negative or in this case, changes the sign

Answer:

im pretty sure its c

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

120/300 is 0.4 convert to percentage it is 40%

Answer:

0.266

Step-by-step explanation:

Total No of seats in class = 8+10+12 = 30

probability that first student will be assigned first row will be: 8/30 = 0.266

because there are 8 front row seats and total seats are 30.

The probability that the first student who enters the classroom will be assigned a seat in the front row is; Option D; 4/15

We are told;

Number of front row seats = 8 seats

Number of middle row seats = 10 seats

Number of back row seats = 12 seats

Thus;

Total number of seats in classroom = 8 + 10 + 12

>> 30 seats

Now, we want to find the probability that the first student who enters the classroom will be assigned a seat in the front row.

Thus;

P(1st student sits in front row) = 8/30

This can be reduced to get;

P(1st student sits in front row) = 4/15

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Answer:

Option B. The Lateral area is 692 cm2

Step-by-step explanation:

Verify each statement

case A) The area of the base  is 384 cm2

The statement is False

Because

The area of the base is

[tex]B=\frac{1}{2}(24)(16)=192\ cm^{2}[/tex]

case B) The Lateral area is 692 cm2

The statement is True

Because

we know that

The lateral area is equal to the area of its three triangular lateral faces

so

[tex]LA=2(\frac{1}{2}(20)(22))+ \frac{1}{2}(24)(21)=692\ cm^{2}[/tex]

case C) The surface area is 740 cm2

The statement is False

we know that

The surface area is equal to the lateral area plus the area of the base

so

[tex]SA=LA+B[/tex]

we have

[tex]LA=692\ cm^{2}[/tex]

[tex]B=192\ cm^{2}[/tex]

substitute

[tex]SA=692+192=884\ cm^{2}[/tex]

case D) The area of each congruent face is 264 cm2

The statement is False

The area of  each congruent face is equal to

[tex]A=\frac{1}{2}(20)(22)=220\ cm^{2}[/tex]

Answer:

C ($6,250)

Step-by-step explanation:

25 cartons with 5 stereos per carton=125 stereos total

profit for one stereo=80-30=50

125*50= 6250

After selling all the stereos, the company's profit will be $ 6250.

Profit is considered as the gain amount from any business activity. Whenever a shopkeeper sells a product, his motive is to gain some benefit from the buyer in the name of profit.

Here, Ray have 25 cartons with 5 stereos per carton

          So total Ray have,  25 X5 = 125 stereos

      profit on one stereo = 80 - 30 = $50

        Total profit on 125 stereos = 125*50=  $ 6250

Thus, after selling all the stereos, the company's profit will be $ 6250.

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Is 34 the diameter or radius?

To do multiplication is to take (usually) two sets on numbers and put them together to make them one.

For example: let’s say you want to multiply 5 and 3

This means you do 5➕5➕5

Your answer would be 15.

5✖️3= 15

Now let’s say you want to multiply a two digit number

10✖️12

This means you add 10 together 12 times.

10. First do 0✖️2 which is 0 so put it at the bottom. Then 1✖️2 which is 2

x 12. Then do 1✖️0 and 1✖️1

——————

20

➕11x. You put a place holder in this case (x) which equals 0

———————

120

Then you are left with your answer

Hope this helps! :3

Multiplication is like adding but with less work.

For example 9x9 is equal to

9+9+9+9+9+9+9+9+9.

Another example would be 15x3

which is equal to

15+15+15

Or

3+3+3+3+3+3+3+3+3+3+3+3+3+3+3z

The mass of each book in the box is 2000 grams.

In this question, we are given the total mass of the books in a box and the number of books in that box. We are being asked to determine the mass of each book in grams.

We know that there are 10 books in the box and the total mass for all the books is 20 kg. As 1 kilogram is equal to 1000 grams, the total mass of the books in the box is 20 kg x 1000 g/kg = 20000 grams.

Now, to find the mass of each book, we divide this total mass by the number of books. Therefore, the mass of each book is 20000 g / 10 books = 2000 grams per book.

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Each book has a mass of 2,000 grams.

To find the mass of each book in grams, we need to convert the mass of the box from kilograms to grams by multiplying it by 1000.

So, 20 kilograms is equal to 20,000 grams.

Since there are 10 books in the box, we can divide the mass of the box by the number of books to find the mass of each book.

Therefore, each book has a mass of 2,000 grams.

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Answer:

the amount the grocer spend on marketing last year = $ 1048.38

Step-by-step explanation:

To find the budget we will subtract the current marketing budget number from 100

As 38% = 0.38

i.e, 100 - 0.38= 0.62

Now divide the previous year budget amount percentage found by the amount spent this year

=650 / 0.62

= 1048.38

Final answer:

To find out how much the grocer spent on marketing last year, divide the current amount he spent by the remaining percentage of the original amount before the cut.

Explanation:

To find out how much the grocer spent on marketing last year, we need to determine the original amount before the 38% cut. Let's assume the original amount is x. If the grocer cut the marketing budget by 38%, it means he spent 100% - 38% = 62% of the original amount. The equation can be set up as: 0.62x = $650. To solve for x, divide both sides of the equation by 0.62. So, x = $650 ÷ 0.62 = $1048.39.

Answer:

The result is 16c^6/49b^8.

Answer:

I don't actually have an image but i think the coordinate point is (-6,1)

I hope this helps

The number of sugar cups required will be 12.5.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a cake recipe calls for 2¹/₂ cups of sugar. The number of cups of sugar for 5 cakes will be calculated as,

Number = 5 x (  2¹/₂ )

Number = 5 x 2.5

Number = 12.5 cups

Therefore, the number of sugar cups required will be 12.5.

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To bake 5 cakes, you would need 12 1/2 cups of sugar by multiplying 2 1/2 cups, the amount needed for one cake, by the number of cakes.

To calculate how many cups of sugar are needed to bake 5 cakes when a single cake recipe calls for 2 1/2 cups of sugar, you can simply multiply the amount of sugar needed for one cake by the number of cakes you plan to bake. Therefore, you have:

2 1/2 cups of sugar/cake × 5 cakes = 12 1/2 cups of sugar.

Here's the step-by-step calculation:

Therefore, you need 12 1/2 cups of sugar to bake 5 cakes.

Answer:

Step-by-step explanation:

the answer is 18

Answer:

[tex]\large\boxed{530^o\ and\ -190^o}[/tex]

Step-by-step explanation:

[tex]\text{Coterminal angle with}\ \alpha:\\\\\alpha+360^o\ and\ \alpha-360^o.\\\\\text{Firs\ step}\\\\1250^o:360^o=3\ and\ 170^o\ rest\\\\1250^o=170^o\\\\170^o+360^o=530^o\\\\170^o-360^o=-190^o[/tex]

Here is the work along with the answer to the problem.

Answer:

C

Step-by-step explanation:

Given

f(x) = - 5

This will result in a value of - 5 for any value of x, hence

f( - 1) = - 5

Thus (- 1, - 5) ← represents a solution

2x=x+8

Subtract x on both sides

X=8

So PQ=8

Answer:

35 degress

Step-by-step explanation:

Answer: 108 degress

Step-by-step explanation:

Answer:

[tex]\pi[/tex] x miles

Step-by-step explanation:

Circumference, C= 2[tex]\pi r[/tex]

r=radius = x/2

C= 2×[tex]\pi[/tex] × x/2

C=[tex]\pi[/tex] x

Answer:

πx miles

Step-by-step explanation:

Given in the question,

radius of a circle = x/2 miles

To find circumference of a circle we will use following formula

2π * r

where π is constant = 3.14

            r is radius of circle

Plug values in the formula

2(3.14)(x/2)

2 will cancel out

the area of ABCD is 135

Answer:

2212.5 cm²

Step-by-step explanation:

ABCD is constructed from 2 right triangles ABD and BCD

The area (A ) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

In ΔABD, b = AD = 60 and h = AB = 25, hence

A = [tex]\frac{1}{2}[/tex] × 60 × 25 = 30 × 25 = 750 cm²

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

In ΔBCD, b = BD = 65 and h = CE = 45, hence

A = [tex]\frac{1}{2}[/tex] × 65 × 45 = 1462.5 cm²

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

The area of figure ABCD = area of ΔABD + area of ΔBCD

A = 750 + 1462.5 = 2212.5 cm²

Answer:

9√3 unit^2.

Step-by-step explanation:

The area  = 1/2 6^2 sin 60

= 1/2 * 36 * √3/2

= 9√3

The area is [tex]9\sqrt{3}un^2.[/tex]

Note that: triangle AOB is an equilateral triangle because:

OA = OB (both are radius)

So ∠OAB = ∠OBA

Given that ∠AOB=60 degree.

The sum of three angles of a triangle is 180 degrees.

So,

∠OAB + ∠OBA + ∠AOB = 180

∠OAB + ∠OBA + 60 = 180

∠OAB + ∠OBA = 120

∠OAB + ∠OAB = 120

2∠OAB = 120

∠OAB = 60

It means ∠OAB = ∠OBA  =60.

Since all the angles of these triangle is 60 degree, so triangle AOB is an equilateral triangle.

Given: side length = a = 6.

The area of the triangle is: [tex]\frac{\sqrt{3}}{4}a^{2}=\frac{\sqrt{3}}{4}\left(6^{2}\right)=\frac{\sqrt{3}}{4}\left(36\right)=9\sqrt{3}[/tex]

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Answer: A. 0.09

Step-by-step explanation:

So if you subtract 45% from 80% and thats when you get 0.09

Answer: 1/5

Step-by-step explanation:

Answer:

1/500

Step-by-step explanation:

if you add a %, multiply the number by 100 (or move to the right 2 decimal places)

if you remove the %, divide the number by 100 (or move to the left 2 decimal places)

example .5 to a percent is .5(100) = 50%

to make this a fraction, first change the number to a decimal, then divide by 100, or multiply by 1/100.  

.20 is the fractional number of two tenths or 2/10%.  

(2/10)(1/100)  = 2 / 1000    this can reduce to 1/500

Answer:

140

Step-by-step explanation:

35/ 100 = 49/?

49 times 100 equals 4900

4900/35 is 140

Answer:71 Apartments

Step-by-step explanation: 35/49=x/100

49x=3500

x=71

product is the answer to a multiplication problem mx6=90

The sentence 'The product of Mabel's score and 6 is 90' translates into the equation 'm * 6 = 90' in mathematics, where m represents Mabel's score.

The sentence provided can be translated into an equation. In mathematics, the phrase 'the product of' means to multiply. Here, Mabel's score is represented by the variable m. The 'product of Mabel's score and 6' is the same as saying 'm multiplied by 6'. This is said to be equal to 90. Therefore, the equation that represents this sentence is m * 6 = 90.

To translate the sentence 'The product of Mabel's score and 6 is 90' into an equation using the variable m to represent Mabel's score, we can write:

6m = 90

This equation states that the product of Mabel's score (m) and 6 is equal to 90.

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Answer:

Step-by-step explanation:

Look at the picture.

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the graph we have the points (-5, 2) and (-3, 0). Substitute:

[tex]m=\dfrac{0-2}{-3-(-5)}=\dfrac{-2}{2}=-1[/tex]