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3 years ago

Analyze the diagram below and answer the question that follows.

Mathematics

1 answer:

Rama09 [41]3 years ago

6 0

Answer:

Option A is the correct option

BA with one sided arrow mark represent a ray

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A 20 ft ladder leans against a building and reaches a point 13 ft above the ground. Find, to the nearest degree, the angle that

Snezhnost [94]

Since it forms a "right triangle" we can apply trigonometry.
sin x = oppo/hyp
sin x = 13/20
x = sin^-1(13/20)
x = sin^-1(0.65)
x = 40.5
rounded to nearest degree
x = 41 degrees

Hope this helps! :)

4 0

3 years ago

Find the volume of the composite solid below. If needed,round to the nearest hundredth. Use 3.14

ZanzabumX [31]

Answer:

429.42 cm

Step-by-step explanation:

Volume of a rectangle prism:

V = whl

V = (5)(12)(7)

V = 420

Volume of a cylinder:

V = πr²h

V = (3.14)(1²)(3)

V = (3.14)(1)(3)

V = 9.42

Combined:

420 + 9.42

429.42

6 0

3 years ago

Eric is adding water to a 60

Archy [21]

Answer:

After 2.5 minutes the pool will have 27 gallons of water.

Step-by-step explanation:

The pool has already 12 gallons of water and Eric wants to fill it to at least 27 gallons.

The water is flowing at a rate of 6 gallons per minute.

Let, after t minutes the pool will have at least 27 gallons of water.

Therefore, we can write the equation as

27 = 12 + 6t

⇒ 6t = 15

⇒ t = 2.5 minutes.

Therefore, after 2.5 minutes the pool will have 27 gallons of water. (Answer)

8 0

3 years ago

Answer question (picture below) and show work please

antiseptic1488 [7]

Answer:

$A(x)=7x^2-2x+10$

Step-by-step explanation:

Long Division

The polynomial long division implies the sequential division of each term of the dividend polynomial by the terms of the divisor polynomial. The procedure is a well-know sequence of steps from which there are two outputs: the quotient and the remainder.

We have two mathematical models, one for the total number of visitors who went to a theme park:

$F(x)=126x^3+279x^2+90x+450$

The other for the number of shows played at the theme park in the same period

$G(x)=18x+45$

Where x is the number of days since October 1. We are required to find the expression for the average number of visitors per show. It comes by dividing F(x) by G(x). We must perform a long division as shown below.

The average number of visitors per show is

$A(x)=7x^2-2x+10$

For example, day 5

$A(5)=7\ 5^2-2(5)+10=175$

There were 175 visitors per show (on average)

7 0

3 years ago

Help me out please I really need to finish this

Oksanka [162]

Answer: C- $8. Add all the ticket prices together which is 40, than divide by 5 because there are 5 theaters and you get $8.

5 0

3 years ago