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1 year ago

A bird was sitting 16 feet from the base of an oak tree and flew 20 feet to reach the top of the tree. How tall is the tree?

Mathematics

1 answer:

Eddi Din [679]1 year ago

5 0

Given:

A bird was sitting 16 feet from the base of an oak tree and flew 20 feet to reach the top of the tree.

To find:

The length of the tree.

Solution:

A bird was sitting 16 feet from the base of an oak tree.

Vertical distance between bird and base = 16 feet

Then the bird flew 20 feet to reach the top of the tree.

Now, the vertical distance between bird and base = (16+20) feet

So, length of the oak tree is it the sum of 16 feet and 20 feet.

$\text{Length of the oak tree}=16+20$ feet

$\text{Length of the oak tree}=36$ feet

Therefore, the length of the oak tree is 36 feet.

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Which of the following accurately lists all of the discontinuities for the graph below?

Murljashka [212]

Answer:

jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8

Step-by-step explanation:

From the graph we can see that there is a whole in the graph at x=-2.

This is referred to as a point discontinuity.

Similarly, there is point discontinuity at x=8.

We can see that both one sided limits at these points are equal but the function is not defined at these points.

At x=0, there is a jump discontinuity. Both one-sided limits exist but are not equal.

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1 year ago

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Samantha walked 10 miles in 5 hours. What was her walking rate in miles per hour?

Vitek1552 [10]

Answer:

2 miles per hour

Step-by-step explanation:

5 hours = 10 miles

Your gonna have to divide 10 by 5 to get the answer

10 ÷ 5 = 2

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2 years ago

Jorge and Mary are both filling cups with fruit punch in preparation for a party. After 3 minutes, Jorge had 53 cups left to be

makkiz [27]

Answer:

Mary is filling 36 cups per minute, which is faster than Jorge.

Step-by-step explanation:

Lets get Jorge's time :

As the rate is constant, we can find the slope to know the number of cups he is filling per minute.

Slope is found using: $\frac{y2-y1}{x2-x1}$

= $\frac{53-25}{5-3}$

= $\frac{28}{2}=14$

From the table lets get Mary's time:

$\frac{99-81}{1-0.5}$

= $\frac{18}{0.5}=36$

Another data: $\frac{63-45}{2-1.5}$

= $\frac{18}{0.5}=36$

Therefore, we can see that Mary is filling 36 cups in a minute and Jorge is filling 14 cups.

Hence, the correct answer is : Mary is filling 36 cups per minute, which is faster than Jorge.

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2 years ago

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Riley and Jace work at a dry cleaners ironing shirts. Riley can iron 25 shirts per hour, and Jace can iron 30 shirts per hour. R

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Answer:

25r +30j = 460
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Step-by-step explanation:

Let r and j represent Riley's hours and Jace's hours, respectively. The equations could be ...

25r +30j = 460

r - j = 3

The solution is (r, j) = (10, 7).

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1 year ago

Which system of equations can be used to find the roots of the equation 12 x 3-5x=2 x 2+x+6

kirill [66]

Answer:

Option (a) is correct.

The system of equation becomes

$y=12x^3-5x\\\\ y=2x^2+x+6$

Step-by-step explanation:

Given : Equation $12x^3-5x=2x^2+x+6$

We have to construct a system of equations that can be used to find the roots of the equation $12x^3-5x=2x^2+x+6$

Consider the given equation $12x^3-5x=2x^2+x+6$

To construct a system of equation put both sides of the given equation equal to a same variable.

Let the variable be "y", Then the equation $12x^3-5x=2x^2+x+6$

becomes,

$12x^3-5x=y=2x^2+x+6$

Thus, The system of equation becomes

$y=12x^3-5x\\\\ y=2x^2+x+6$

Option (a) is correct.

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1 year ago

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