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Andru [333]
3 years ago
10

A surveyor needs to determine the height of a tree. She places a mirror on the ground and paces backwards until she sees the top

of the tree reflected in the mirror. She marks where she is standing and then measures the distance from this spot to the mirror which is 1111 feet. She then measures the distance from the mirror to the base of the tree which is 9090 feet. The surveyor's height is 5454 inches from the ground to her eyes. How tall is the tree (in feet) assuming level ground from the surveyor's spot to the mirror and from the mirror to the tree
Mathematics
1 answer:
Arada [10]3 years ago
7 0
She then measures the distance from the mirror to the base of the tree ... backwards until she sees the top of the tree reflected in the mirror.
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Spotlight Dance increased the number of dancers on its competition team. Last
Nana76 [90]

Answer:

80%

Step-by-step explanation:

To find percentage increase, we use the following formula:

Percentage Increase = \frac{New-Old}{Old}*100

Here

New means the latest value (which is 18 dancers)

Old means the previous value (which is 10 dancers)

The Multiplication by 100 is to convert the decimal answer to percentage.

So, we have:

New = 18

Old = 10

Now we substitute and find:

\frac{New-Old}{Old}*100\\\frac{18-10}{10}*100\\\frac{8}{10}*100\\80

So, there was an increase of 80%

3 0
3 years ago
Which region represents the solution to the given system of inequalities?
Phoenix [80]

Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

 Given the following system of inequalities:

\left \{ {{x+3y\leq-3 } \atop {x\geq3 }} \right.

We need to graph the lines.

We have the line:

x+3y=-3

Solving for "y", we get:

3y=-x-3\\\\y=\frac{1}{3}x-1

Knowing that m=-\frac{1}{3} and b=-1, we can graph it.

Since the symbol is \leq, the line must be solid.

The other line is:

x=3

Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.

Since the symbol is \geq, the line must be solid.

We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).

Then:

0+3(0)\leq-3\\\\0\leq-3

This is false, therefore, we must shade the half that does not contain this point.

0\geq 3

This is false, so we must shade the half that does not contain this point.

The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.

8 0
3 years ago
Read 2 more answers
Which pair of angles are congruent?<br> A) 1 and 8 <br> B) 4 and 6 <br> C) 5 and 6 <br> D) 1 and 7
taurus [48]

Answer:

A

Step-by-step explanation:

because it makes more sense

6 0
3 years ago
An item originally costs $16.95 and is on sale for 22% off the original price. The sales tax is 6.5%. Find the cost of the item
olga_2 [115]

Answer:

$14.08

Step-by-step explanation:

$16.95 * 22% = $3.729

$16.95 - $3.729 = $13.221

^ to find the sale price of the item

$13.221 * 6.5% = $0.859

$13.221 + $0.859 = $14.08

^ to add on sales tax to the sale price

8 0
3 years ago
18
castortr0y [4]
18-B
I'm not so sure about 19 I know the longest someone can have a loan it's up to 7 years but I would have no idea about credit reports but I would guess they would almost be the same
hope I helped somewhat
6 0
2 years ago
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