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jarptica [38.1K]

3 years ago

10

a man who is 6 feet tall casts a shadow that is 11 feet long. At the same time, a tree casts a shadow that is 33 feet long. What

is the height of the tree.

1 answer:

AveGali [126]3 years ago

7 0

Something that is 6ft tall with an 11ft shadow is the same relation as something that is x ft tall with a 33ft shadow. You can set up a proportion and then cross-multiply to solve for x (which is the height of the tree)

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*27 POINTS PLEASE HELP*

EleoNora [17]

To compute the slope of a segment, given its endpoints $A(A_x,A_y),\ B=(B_x,B_y)$ , you write

$m_{AB} = \dfrac{A_y-B_y}{A_x-B_x}$

Given this formula, you have the four slopes:

$m_{AB} = \dfrac{A_y-B_y}{A_x-B_x} = \dfrac{-1-2}{-4+1} = \dfrac{-3}{-3} = 1$

$m_{BC} = \dfrac{B_y-C_y}{B_x-C_x} = \dfrac{2-1}{-1-5} = \dfrac{1}{-6} = \dfrac{-1}{6}$

$m_{CD} = \dfrac{C_y-D_y}{C_x-D_x} = \dfrac{1+3}{5-1} = \dfrac{4}{4} = 1$

$m_{DA} = \dfrac{D_y-A_y}{D_x-A_x} = \dfrac{-3+1}{1+4} = \dfrac{-2}{5} = -\dfrac{2}{5}$

Now, two segments are parallel if they have the same slope. So, AB and CD are parallel, because they both have slope 1, but BC and DA are not parallel.

This means that ABCD is not a parallelogram, because in parallelograms the opposite sides are parallel.

8 0

4 years ago

Solve the system of linear equations below. x − 3y = -3 x + 3y = 9 A. x = -12, y = 7 B. x = 3, y = 2 C. x = 6, y = 1 D. x = 6, y

Eddi Din [679]

ANSWER

B. x=3,y=2

EXPLANATION

The given equations are

$x - 3y = - 3...(1)$

and

$x + 3y = 9...(2)$

We add the two equations to eliminate y.

This implies that that:

$x + x - 3y + 3y = 9 + - 3$

Simplify:

$2x = 6$

Divide both sides by 2.

$x = 3$

We put x=3 into any of the equations to find y.

Let us substitute x=3 into equation (1) to get:

$3 - 3y = - 3$

$- 3y = - 3 - 3$

$- 3y = - 6$

Divide both sides by -3 to get;

$y = 2$

The solution is therefore x=,y=2.

3 0

3 years ago

Find the slope of a line through the points (-1,5) and (7,-11)

Nikitich [7]

Answer:

8/-16

Step-by-step explanation:

rise over run

6 0

3 years ago

Simplify the given equation.

Ede4ka [16]

Answer:

Part 1) $4-7x=15$

The value of x is $-\frac{11}{7}$

Part 2) $x=27$

Step-by-step explanation:

Part 1) Simplify the given equation

we have

$6 - (3x + 10)+4(2 - x)=15$

In the left side, remove the parenthesis and apply the distributive property

Remember that

$(-1)(+1)=-1\\(-1)(-1)=+1$

so

$6 -3x-10+4(2)-4(x)=15$

$6 -3x-10+8-4x=15$

Combine like terms left side

$4-7x=15$

Adds 7x both sides

$4=15+7x$

subtract 15 both sides

$-11=7x$

Divide by 7 both sides

$x=-\frac{11}{7}$

Part 2) Solve for x.

$5(x + 1) = 4(x + 8)$

Apply distributive property both sides

$5x+5=4x+32$

Group terms that contain the same variable

$5x-4x=32-5$

Combine like terms

$x=27$

6 0

4 years ago

Please help me with this question!!!!

elixir [45]

Answer:

We know the are of the square is 7x as that squared would =49x^2 making the perimeter 28x so the last side of the triangle has to be 21x-4

5 0

4 years ago