Julia has 2 identical rooms in her house. If each room measures 8 feet on one side and 12 feet on another, what is the total area of the rooms?

Answers

Answer 1
Answer: L = 12 ft
W = 8 ft
One room has area:
A1 = L · W = 12 · 8 = 96 ft²
The total area of rooms:
A = 2 · 96 = 192 ft² 

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How many factors in the expression 8(x +4) (y +4) (z 2 + 4z + 7) have exactly two terms?

Answers

From the expression 8(x +4) (y +4) (z 2 + 4z + 7),
the factors are 8, (x+4), (y+4), (z^2 + 4z + 7) since each of these factors, when you divide that to the whole expression won't give a remainder.


Answer:

Only 2 factors have exactly two terms i.e, (x+4)(y+4)

Step-by-step explanation:

Given : Expression 8(x+4)(y+4)(z^2+4z+7)

To find : How many factors in the expression have exactly two terms?

Solution :

Expression8(x+4)(y+4)(z^2+4z+7) cannot be further factorized.

Now, We count the terms in each factor.

1) Factor- 8

Only 1 term i.e, 8 itself.

2) Factor- x+4

Two terms .i.e., x and 4

3) Factor- y+4

Two terms .i.e., y and 4

4) Factor- z^2+4z+7

Three terms .i.e., z^2, 4z and 7.

Therefore, Only 2 factors have exactly two terms i.e, (x+4)(y+4).

1 . The lengths of the legs of a right triangle are 25 cm and 60 cm. What is the length of the hypotenuse?
A. 42.5 centimeters
  B. 65 centimeters

  C. 9.2 centimeters

  D. 35 centimeters



























 



D.





35 centimeters

Answers

a^(2)+ b^(2) = c^(2) that is, hypotenuse.
Therefore, let the length of the hypotenuse be 'x.' 
25^(2)+ 60^(2)= x^(2)
625+3600=x^(2)
4225=x^(2)
Therefore,
√(4225)=x
65=x
The length of the hypotenuse is B.65 centimetres.

A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and eachsuccessive bounce is 69% of the previous bounce's height. Write a recursive formula
to represent the height of the nth bounce of the ball.

Answers

The value 2.75 goes in the first box, since it's the first term.

The expression 0.69*a_(n-1) goes in the second box. The second line says "to get the nth term, we multiply the previous term by 0.69"

A snorkeler dives for a shell on a reef. After entering the water, the diver descends 11/3 feet in one second. Write an equation that models the diver's position with respect to time.

Answers

Answer:

f(t)=t²-12t+11

Step-by-step explanation:

1) Having an attentive reading, we can see from the picture two coordinate points (1,0) and (11,0).

These points, has coordinates for x and y. Since those y-coordinates are zero, we have x-intercepts. Or the zeros of a function, in a quadratic function. Those intercepts minus x values equals zero. These x-intercepts we'll rename it as t, for time.

2) Plugging it in and writing it as groups:

f(t) = returns in feet

t= for time

f(t) =(t-1)(t-11)

Distributing the factors multiplying (t-1) times (t-11), goes:

f(t) =t²-12t+11

x^2 -12x +11

We have the x intercepts so we can create the equation (x-1)(x-11).  Multiply it and you get your answer

3/9 in simplest form

Answers

it is 1/3 
3:3 =1
9:3 = 3
make sure that the top and bottom numbers divide with the same number :)

Is it

A 180

B 120

C 45

D 60

Answers

Answer:

60° .

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The answer is 60.

Since angle 1 and angle three are on the same line they have to have complimentary angles. So, 180 (degrees of a straight line) minus the angle 1 would give:

180 - 120 = 60.