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Ronch [10]
3 years ago
13

When Isabel began her book-selling business, she stored her inventory in her garage. Now that her business has grown, she wants

to rent warehouse space. Lisa owns a large warehouse nearby and can rent space to Isabel. The area of the warehouse is 8,100 square feet. Lisa is willing to rent Isabel as little as 100 square feet of the space or up to as much as the entire warehouse. Her only requirement is that all spaces must be square.
The total length of each row of bookshelves will be of the length of the storage space.
Let x be the area of the space that Isabel rents and f(x) represent the total length of a row of bookshelves. How would you find the length of a row of bookshelves? (3 points)

Write a function that expresses f(x). (10 points)

Graph it
Mathematics
1 answer:
Vikki [24]3 years ago
8 0

Answer:

Area = 8,100 square feet

area of a square = a²

8,100 square feet = a²

√8,100 square feet = √a²

90 feet = a

total length each row of bookshelf is 4/5 of the length of the storage space.

90 feet * 4/5 = (90*4)/5 = 360/5 = 72 feet.

Area = (72 ft)²

Area = 5,184 square feet.

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Todd is 30 years old. If his target heart rate during aerobic activity is 60-90 % of his maximum heart rate, how fast should his
sergeinik [125]

Answer:

Step-by-step explanation:

It is given that Todd is 30 year old and he perform aerobic activity that may increase his heart beat.

maximum heart beat can be calculated by subtracting the age from 220

For 30 year old male Maximum heart beat

=220-30=190

And during exercise his heart beat increases to  60-90 % of maximum value

60 % of 190=114 beats/min

90 % of 190=171 beats/min

So Heart beat can goes up to 114 - 171 beats/min

6 0
4 years ago
What does |-9.23-1.79| - |7.34-2.57| equal?
liubo4ka [24]

Answer:

Answer:

11.02-9.91= 1.11

Step-by-step explanation:

|-11.02| - |-9.91| (First solve in absolute)

11.02 - 9.91 (any values outside absolute becomes positive)

1.11

Step-by-step explanation:

4 0
3 years ago
Isabell is standing at the top of a waterslide that leads to a pool below. The angle of depression from top of the slide to the
MakcuM [25]

As for the right angle triangle the ratio of opposite side to the hypotenuse side is equal to the sine angle.

The distance of the top of the slide from the ground is 24 foot (to nearest foot). Thus option 3 is the correct option.

<h3>What is right angle triangle?</h3>

A right angle triangle is a triangle in which, one of the angle measures equals to the 9 degrees.

Given information

The angle of depression from top of the slide to the pool is 31. 66°.

The height of the slide is 46 feet.

Image is attached below for the given problem.

As for the right angle triangle the ratio of opposite side to the hypotenuse side is equal to the sine angle.

Thus,

\sin(31.6^o)=\dfrac{x}{46} \\x=46\times \sin (31.6^o)\\x=46\times 0.5249\\x=24.145

Hence the distance of the top of the slide from the ground is 24 foot (to nearest foot). Thus option 3 is the correct option.

Learn more about the right angle triangle here;

brainly.com/question/2028228

7 0
3 years ago
A life guard in a tower 20 ft above sea level spots a struggling surfer at an angle of depression of 15 . How far is the surfer
GalinKa [24]

Answer: 19.31\ ft

Step-by-step explanation:

Given

The tower is at a height of h=20\ ft

the angle of depression is 15^{\circ}

Suppose the surfer is x ft away from the base of the tower

\therefore \text{From the figure, we can write}\\\\\Rightarrow \cos 15^{\circ}=\dfrac{x}{h}\\\\\Rightarrow x=h\cos 15^{\circ}\\\Rightarrow x=20\cos 15^{\circ}\\\Rightarrow x=19.31\ ft

Therefore, the surfer is at a distance of 19.31 ft from the base of the tower.

7 0
3 years ago
Solving Quadratic Equations using the Square Root Property
Afina-wow [57]

Answer:

x = -2   or   x = -5

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

x^2 + 7x + 10 = 0

Subtract 10 from both sides.

x^2 + 7x = -10

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}

(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}

(x + \dfrac{7}{2})^2 = \dfrac{9}{4}

Now we use the square root property, if

x^2 = k, then

x = \pm \sqrt{k}

x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}

x + \dfrac{7}{2} = \pm \dfrac{3}{2}

x + \dfrac{7}{2} = \dfrac{3}{2}   or   x + \dfrac{7}{2} = -\dfrac{3}{2}

x = -\dfrac{4}{2}   or   x = -\dfrac{10}{2}

x = -2   or   x = -5

5 0
3 years ago
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