All categories

2 years ago

Derek is 6.5 feet tall and casts a shadow that is 10 feet long. If a basketball hoop next to

Mathematics

1 answer:

Anna [14]2 years ago

8 0

Answer:

example lang po

Flagpole height is 50 ft.

Explanation:

This is a ratio problem

height of object

length of shadow

Let the height of the flagpole be

⇒

You might be interested in

Which statement is true about -14 and -8?

marin [14]

Answer:

Step-by-step explanation:

-14>-8 because -14 is located to the left of -8 on the number line.

7 0

2 years ago

Calculators cost $40 each at Tech Central. How many calculators can Mrs.Robinson buy for her class with $1,000 if the tax on eac

marishachu [46]

1,000/40= 25 calculators
1,000/40.30=24.8
she can only buy 24 calculators all together

3 0

2 years ago

Read 2 more answers

Video Example EXAMPLE 1 Find the linearization of the function f(x) = x + 1 at a = 3 and use it to approximate the numbers 3.98

Blizzard [7]

Answer:

the linearization is y = 1/4x +5/4

the linearization will produce <em>overestimates</em>

the values computed from this linearization are ...

f(3.98) ≈ 2.245

f(4.05) ≈ 2.2625

Step-by-step explanation:

Apparently, you have ...

$f(x)=\sqrt{x+1}$

from which you have correctly determined that ...

$f'(x)=\dfrac{1}{2\sqrt{x+1}}$

so that f(3) = 2 and f'(3) = 1/4. Putting these values into the point-slope form of the equation of a line, we get the linearization ...

g(x) = (1/4)(x -3) +2

g(x) = (1/4)x +5/4

The values from this linearization will be overestimates, as the curve f(x) is concave downward everywhere. The tangent (linearization) is necessarily above the curve everywhere.

At the given values, we find ...

g(3.98) = 2.245

g(4.05) = 2.2625

4 0

2 years ago

What is the equation of this graphed line?

Arturiano [62]

Answer:

y = -1/3x - 5

Step-by-step explanation:

Use rise over run to find the slope: (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-7 + 3) / (6 + 6)

-4 / 12

= -1/3

Plug in the slope and a point into y = mx + b, and solve for b:

y = mx + b

-3 = -1/3(-6) + b

-3 = 2 + b

-5 = b

Plug in the slope and b into y = mx + b

y = -1/3x - 5 is the equation of the line

8 0

2 years ago

Read 2 more answers

Prove that the recurring decimal 0.39 = 13/33

Tcecarenko [31]

$x=0.\overline{39}\\100x=39.\overline{39}\\
100x-x=39.\overline{39}-0.\overline{39}\\
99x=39\\
x=\dfrac{39}{99}=\dfrac{13}{33}
$

8 0

2 years ago