All categories

3 years ago

Please help me Show your work

Mathematics

2 answers:

irakobra [83]3 years ago

4 0

<u>Answer:</u>

25 ft

<u>Step-by-step explanation:</u>

We are given a diagram which shows a student standing near a tree and the shadow of the student and tree end at one point.

Given the height of the student, distance between the student and end point of shadow and the distance between the tree and end point of shadow, we are to find the height of the tree.

We can use the ratio method:

$\frac{8}{40} =\frac{5}{x}$

$x=\frac{5*40}{8} =25$

Therefore, height of the tree is 25 ft.

vlabodo [156]3 years ago

3 0

Answer: x=25 feet.

Step-by-step explanation:

1. Keeping on mind simiilarity of triangles, you can calculate the height of the tree as following:

5/8=x/32

Where x is the height of the tree, as you can see in the figure attached in the problem.

2. Then, when you solve for the height, you obtain:

x=5*32/8

x=25

3. Therefore, the height of the tree is 25 feet.

You might be interested in

Assume that the lines are parallel.

alexdok [17]

Answer:

left ?= 110

right?= 70

Step-by-step explanation:

5 0

3 years ago

Anyone help me with this?

PilotLPTM [1.2K]

1 T = 2000 lb
0.5 T = 1000 lb
1.25 T = 2500 lb

Jake's trailer can have a load of 5000 -2500 = 2500 lb. Since each horse is 1000 lb, Jake can only load 2 of them into the trailer and stay under his load limit.

7 0

4 years ago

When the women's soccer team won the state championship, the parent boosters welcomed the team back to school with a balloon b

Ray Of Light [21]

Answer:

Each bouquet included 8 latex balloons and 4 foil balloons

Step-by-step explanation:

Hi there!

Let x be the number of latex balloons and y the number of foil balloons. The total cost of the balloons will be the cost of each latex balloon times the amount (x) added to the cost of each foil balloon times the amount of these balloons (y). Then:

Cost of each latex balloon = 0.14

Amount of latex balloon = x

Cost of each foil balloon = 1.96

Amount of foil balloons = y

0.14 x + 1.96 y = 161.28

We also know that each player received 12 balloons. Since there are 18 players, the number of foil and latex balloons will be 18 · 12 = 216 balloons.

Then:

x + y = 216

So we have a system of equations that we can solve because we have two equations and two unknowns. Let´s solve it!

0.14 x + 1.96 y = 161.28

x + y = 216

Let´s solve the second equation for y:

x + y = 216

y = 216 - x

Now, let´s replace y in the first equation and solve it for x:

0.14 x + 1.96 y = 161.28

0.14 x + 1.96 (216 - x) = 161.28

Apply distributive property:

0.14 x + 423.36 - 1.96 x = 161.28

-1.82 x + 423.36 = 161.28

-1.82 x = 161.28 - 423.36

-1.82 x = -262.08

x = -262.08 / -1.82

x = 144

There are 144 latex balloons

Then:

y = 216 -144 = 72

There are 72 foil balloons

If 144 latex balloons are distributed among the 18 players, each player will receive (144/18) 8 balloons.

In the same way, if the 72 foil balloons are distributed among the players, each will receive (72/ 18) 4 balloons.

Then, each bouquet included 8 latex balloons and 4 foil balloons.

7 0

3 years ago

One endpoint of a segment is located at (14,21) find the coordinates of the other ep if the midpoints coordinates are (41,50)

nydimaria [60]

$~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{14}~,~\stackrel{y_1}{21})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +14}{2}~~~ ,~~~ \cfrac{ y +21}{2} \right) ~~ = ~~\stackrel{midpoint}{(41~~,~~50)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +14}{2}=41\implies x+14=82\implies \boxed{x=68} \\\\\\ \cfrac{ y +21}{2}=50\implies y+21=100\implies \boxed{y=79}$

3 0

1 year ago

Consider the following two-person zero-sum game. Both players simultaneously call out one of the numbers f2; 3g. Player I wins i

boyakko [2]

Answer:

The pay off matrix (for numbers 1-9) is shown in the attached table.

The value of the game (expected winning per play) = $9.57

The strategy for player II is to call even numbers all the time, which guarantees a winning in every game!

The strategy for player I is to call odd numbers all the time, in case player II calls odd numbers (good luck!)

Step-by-step explanation:

The pay off matrix (for numbers 1-9) is shown in the attached table.

The payoff for player II (even wins) is 775 for 9*9 = 81 possible scenarios.

Thus the value of the game is 775/81 = $9.57 (expected winnings per play)

The strategy for player II is to call even numbers all the time, which guarantees a winning in every game!

The strategy for player I is to call odd numbers all the time, in case player II calls odd numbers (good luck!)

3 0

3 years ago