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2 years ago

At what distance above the ground was the shot fired? Show your work.

Mathematics

1 answer:

UkoKoshka [18]2 years ago

7 0

Answer:

51.63 ft

Step-by-step explanation:

Tangent 25 = opposite / adjacent

tan 25 = height/100

Height = 100 tan 25 = 46.63 feet ABOVE the head of the victim

victim head height = 5 ft

46.63 + 5 = 51.63 ft

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Solve the system by graphing. Write the solution as an ordered pair. y = 1/3x + 2 y = –x – 2

Dima020 [189]

ANSWER

The solution is where the two graphs intersect, which is
$(-3,1).$

EXPLANATION

The given system of equations are
$y = \frac{1}{3} x + 2$
and

$y = - x - 2$

We need to graph the two equations.

Let us graph

$y = \frac{1}{3} x + 2$
first.

We need at least two points.

You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.

When
$x = 0$

$\Rightarrow \: y = \frac{1}{3} (0) + 2$

$\Rightarrow y = 0 + 2$

$\Rightarrow y = 2$

So this gives us the ordered pair,

$(0,2)$

When
$y = 0$
we get,

$0= \frac{1}{3} x + 2$

$\Rightarrow \: - 2 = \frac{1}{3} x$

$\Rightarrow \: - 2 \times 3= x$

$\Rightarrow \: -6= x$
This also gives the ordered pair

$(-6,0).$

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.

For the second line

$y = - x - 2$

We again find the intercepts and plot them.

When
$x = 0$

$y = - 0 - 2$

$\Rightarrow \: y = - 2$

This gives the ordered pair

$(0,-2)$

Also, when
$y = 0$

then we have,

$0 = - x - 2$

$2 = - x$

$x = - 2$

Then we again have the ordered pair,

$(-2,0)$

We plot these two points on the same graph sheet to obtain the red graph above.

The intersection of the two lines is
$(-3,1)$

You will get good grades so don't worry much.

4 0

3 years ago

Its like my 9 time on here

kari74 [83]

Answer:

B, 5 : 1

Step-by-step explanation:

Right : Wrong

10 : 2

Simplify (Divide both sides of the ratio by 2)

5 : 1

Hope this helps :)

6 0

4 years ago

Jack wants to abopt all kittens that weigh more than 4 ounces how many kittens will he abopt

lbvjy [14]

Yea he will
Adopt that many kittens

5 0

3 years ago

26. If the area of the rectangle shown below is given by the expression 3x + 7x - 6,

Crazy boy [7]

Answer:

D=(3x-2)

Step-by-step explanation:

Area=length×width =3x²+7x-6

thus a=3 b=7 c=-6

W=(x+3)

since c is -6 it has to be the product of 3(from W)=-2

since a=3 multiply by x (from W) 3×x=3x

=3x-2

check if its correct.

3x-2×x+3

x(3x-2)+3(3x-2)

3x²-2x+9x-6

3x²+7x-6 thus its true

6 0

4 years ago

A 12-foot long ladder is leaning against a wall. It make sure an angle of 40 degrees with the ground. write an equation that can

Olin [163]

Answer:

I think it is 11 Feet

Step-by-step explanation:

5 0

3 years ago