A shadow makes an angle to the top of the pole at 83°. If the shadow is 20 foot long, how tall is the pole?

Complete question :

Leanne collects data throughout the basketball season and uses these data to determine the probabilities of different teams playing in the league championship game. The probabilities for her four favorite teams playing in the championship game are shown below.

Tiger: P= 2/3

Redbirds: P= 4/5

Bulldogs: P= 3/8

Titans: P= 1/2

Which of these teams is at least likely to play in the championship game?

A)tigers

B)redbrids

C)bulldogs

D)titans

Answer:

Bulldogs

Step-by-step explanation:

Probability of each team is given above, we can. Convert the probabilities to decimal and compare ;

Tiger: P= 2/3 = 0.667

Redbirds: P= 4/5 = 0.8

Bulldogs: P= 3/8 = 0.375

Titans: P= 1/2 = 0.5

From the probability values obtained, we can conclude that bulldogs are the least likely to win as they have the lowest probability value.

Answer:

$3,300

Step-by-step explanation:

$60,000 falls into the $50,001 - $100,000 range, so 5.5% is owed on it.

5.5% → 0.055

60,000 * 0.055 = $3,300

Answer:

Infinitely many solutions

Step-by-step explanation:

3x+y=1

15x+5y=5

Step: Solve3x+y=1 for y:

3x + y +−3 x = 1 + −3x (Add -3x to both sides)

y=−3x+1

Step: Substitute−3x+1 for y in 15x+5y=5:

15x+5y=5

15x+5(−3x+1)=5

5=5(Simplify both sides of the equation)

5+−5=5+−5(Add -5 to both sides)

0=0

so there are infinite solutions  

Answer:

b = 73

c = 34

Step-by-step explanation:

<T and <R are equal because they are opposite equal sides.

So b = 73°

Every triangle has 180 degrees

b + c + 73 = 180

73 + c + 73 = 180

146 + c = 180

c = 180 - 146

c = 34

The image of the right rectangular prism is missing, so i have attached it.

Answer:

volume of the right rectangular prism = 625 in³

Step-by-step explanation:

The rectangular prism is made of equal-sized cubes. Thus, let's first find the volume of 1 cube.

Formula for volume of one cube is;

V = a³

where

a is the length of one side of the cube

We are told that this length is 2½ inches

Thus;

a = 2½ = 5/2 inches

>> V = (5/2)³

>> V = 125/8 in³

Now, in the rectangular prism attached, if we count the number of cubes we have, it is equal to 40 cubes

Therefore, the volume of the prism is;

Volume of one cube × 40

>> volume of the prism = (125/8) × 40

volume of the prism = 625 in³

Answer: 75 percent

Step-by-step explanation: I'm pretty sure

Answer:

The slope is -2

Step-by-step explanation:

Answer:

5d-10 =0

Step-by-step explanation:

Answer: 5d - 10 = C

-tay

Answer:

1: x = 29

2: Angle C is 93 degrees

Step-by-step explanation:

For 1 angle C has to equal 93 degrees since 52 + 35 = 87 and 180 - 87 = 93, and a triangles interior angles add up to 180 degrees.

From there create an equation: 3(x + 2) = 93 then solve

3x + 6 = 93

-6 from both sides

3x = 87

/3 from both sides

x = 29

For 2 just plug in x (29)

3(29 + 2)

87 + 6

93

Answer:

the right answer is option B) 7percent

Answer:volleyball

Step-by-step explanation:

Answer:

My fav sport is badminton...

Step-by-step explanation:

Hope it's help u

If wrong then sry sry

Answer:

Step-by-step explanation:

Answer:

There are 27 boys in the classroom

Step-by-step explanation:

Step-by-step explanation:

40% = 4/10 = 2/5;

45÷5=9, 9×2=18; There are 18 girls in the classroom.

45-18=27; 27+18=45; There are 27 boys in the classroom.

Hope my explanation helps! Please mark my answer brainliest!

Answer:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

Step-by-step explanation:

Answer:

64 people

Step-by-step explanation:

if 1/4 of a bus is 16, do 16x4 and u will get 64

Answer:

total cost = $130 + $35n

Step-by-step explanation:

Cost incurred on the first day.

Fixed cost = $40. this amount is fixed because it does not depend on the number of students that take the trip

variable cost = $19n. It is variable because it depends on the number of students that take the trip. the more the club members that take the trip, the higher the cost

Total cost on the first day = $40 + $19n

Cost incurred on the second day

Fixed cost = $90. this amount is fixed because it does not depend on the number of students that take the trip

variable cost = $16n. It is variable because it depends on the number of students that take the trip. the more the club members that take the trip, the higher the cost

Total cost on the second day = $90 + $16n

Total cost incurred would be the sum of the two costs incurred on the two days

total cost = $40 + $19n + $90 + $16n

= $130 + $35n

Answer:

$53,500 is the answer.

Step-by-step explanation:

The question is an Arithmetic Progression of common difference (d) = 700

a₁ = $50,000

a₂ = $50,700

d = $700

sixth year can be written as,

a₆ = a + 5d

a₆ = 50,000 + 5 × 700

a₆ = 50,000 + 3,500

a₆ = 53,500

therefore, Alberto will earn $53,500 in his sixth year of employment.

His salery grows by 700 per year, as you can see. This can be represented as [tex]700x+50000[/tex], where 50,000 represents the starting wage, 700 represents the annual increase, and [tex]x[/tex] represents the year (starting from 0). So, if you want to know his wage in his sixth year of employment, simply substitute 5 for [tex]x[/tex]. Note that [tex]x[/tex] is the number of years minus one. As a result, the answer is [tex]700(5)+50000=53500[/tex].

Answer:

D

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

a square has 4 sides so you add both sides 60 + 60= 120, 90+90=180

120+180=300

Answer:

(180-102)/2 = 39° each (remaining 2)

Answer:

[tex]-16[/tex], [tex]10[/tex]

Step-by-step explanation:

To get the coefficients, we first need to factor the expressions

[tex](2x-4)^{2}[/tex]

[tex](2x-4)(2x-4)[/tex]

[tex]4x^{2}-16x+16[/tex]

The coefficient of x is -16

[tex](x+3)(x^{2}+7x+8)[/tex]

[tex]x^{3}+10x^{2}+29x+24[/tex]

The coefficient of x² is 10

plz mark me brainliest. :)

Answer:

I think 9 but dont quote me on it

Answer:

2

Step-by-step explanation:

in khan academy i put 9 because thats what the last person said here but it was wrong and the correct answer was 2 so its 2 for sure.

Answer:

x = 65

Step-by-step explanation:

2x + 15 and 145 are vertical angles and congruent, then

2x + 15 = 145 ( subtract 15 from both sides )

2x = 130 ( divide both sides by 2 )

x = 65

Answer:

S =4.9t²

Step-by-step explanation:

Using the equation of motion

S =ut+1/2gt²

u is the initial speed = 0m/s

t is the time

g I the acceleration due to gravity = 9.8m/s²

S is the distance of the object

Substitute

S = 0(t)+1/2 (9.8)t²

S = 0+4.9t²

S = 4.9t²

Hence thee equation that describes the distance an object falls from rest under the influence of gravity is S = 4.9t²

Answer:

Should be 360

Step-by-step explanation:

Answer:

1 18/35

Step-by-step explanation:

Answer:

22√3 units squared

Step-by-step explanation:

1) Draw the trapezoid

2) Notice you have to find the height to find the area of the trapezoid

3) Notice it is a 30 60 90 triangle when you draw the line to find the height

4) Solve for the 30 60 90 triangle and you get the height to be 2√3

5) Solve for the area of the trapezoid using this formula A= 1/2 h ( b1 + b2)

6) Fill in the numbers for the equation A= 1/2∙ 2√3 ( 10 + 12)

7) Keep aside the 1/2 for now

8) Simplify equation 2√3 + 22 or 2√3 + (10 + 12)

9) Simplify further 44√3

10) Now bring back the 1/2 and put it in the equation 1/2∙ 44√3

11) Simplify to get 22√3

12) 22√3 is the area of the trapezoid

13) 22√3 units squared is the final answer

I will put a my drawing of the trapezoid for reference and this is what I used to solve the question.

If you want to know how I solved the 30 60 90 triangle please let me know.

Sorry I was one week late I just saw it today.

:D

Answer:

slope: -1/4x

Step-by-step explanation:

i hope this helps :)

Answer:

I think it's a because

12÷42= 3.5

and

56÷16=3.5

so

10×3.5=35

Step-by-step explanation: