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MAVERICK [17]
1 year ago
12

George is 1.94 meters tall and wants to find the height of a tree in his yard. He started at the base of the tree and walked 10.

20 meters along the shadow of the tree until his head was in a position where the tip of his shadow exactly overlaps the end fo the tree top's shadow. He is now 5.1 meters from the end of the shadows. How tall is the tree?

Mathematics
1 answer:
Free_Kalibri [48]1 year ago
7 0
Draw a diagram to illustrate problem as shown below.

Let h = the height of the tree.

Because ΔABC ~ ΔADE, therefore
DE/BC = AD/AB

That is,
h/1.94 = (5.1 + 10.2)/5.1 = 3
h = 1.94*3 = 5.82 m

Answer: 5.82 m

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The perimeter of the school crossing sign is 102 inches what is the length of each side
Afina-wow [57]
The perimeter of the school crossing sign is 102 inches
length of each side = ?
in the question number of sides is not mentioned, so the answer may vary for the length of each side. if there is 5 sides divide 102 by 5, we get 20.4 answer so in case of 5 sides length of each side is 20.4 inches. if there is 4 sides divide 102 by 4 and we get 25.5 inches answer for the legnth each side.
6 0
1 year ago
A large ice chest holds 62 liters of water. A smaller chest holds 4/5 as much water
dedylja [7]

Answer:

Step-by-step explanation:

Since a large ice chest holds the water = 62 liters

And smaller chest holds the water = \frac{4}{5} of the larger ice chest

                                                         = \frac{4}{5}\times 62

                                                         = \frac{248}{5} liters

Therefore, fraction that represents the amount of ice water in the smaller ice chest will have 0 in the first box, 248 in the numerator and 5 in the denominator.

0\frac{248}{5}

6 0
2 years ago
If the price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings, what
Furkat [3]

Answer:

$229673.215

Step-by-step explanation:

Given : The price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings

To Find : what is the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate?

Solution:

Principal = $42000

Time = 5 years

Rate = 3% = 0.03

Formula : A=P(1+r)^t

A_1=42000(1+0.03)^1

A_1=43260

A_2=42000(1+0.03)^2

A_2=44557.8                  

A_3=42000(1+0.03)^3

A_3=45894.534                

A_4=42000(1+0.03)^4

A_4=47271.370                

A_5=42000(1+0.03)^4

A_5=48689.511            

So , Marginal cost = 43260+44557.8+45894.534+47271.370+48689.511

Marginal cost = $229673.215

Hence the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate is  $229673.215

5 0
1 year ago
The probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a vid
Stolb23 [73]

Easy! The answer is B!

8 0
2 years ago
Read 2 more answers
On a coordinate plane, a triangle has points (negative 5, 1), (2, 1), (2, negative 1).
daser333 [38]

Answer:

Step-by-step explanation:

Given a triangle has points:

(-5,1),(2,1), (2,-1)

Let us label the points:

A(2,1),

B(-5,1) and  

C(2,-1)

To find:

Distance between (−5, 1) and (2, −1) i.e. BC.

Horizontal leg AB and

Vertical leg, AC.

Solution:

Please refer to the attached diagram for the labeling of the points on xy coordinate plane.

We can simply use Distance formula here, to find the distance between two coordinates.

Distance formula :

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For BC:

x_2 = 2\\x_1 = -5\\y_2 = -1\\y_1 = 1

BC = \sqrt{(2--5)^2+(-1-1)^2} = \sqrt{63}

Horizontal leg, AC:

x_2 = -5\\x_1 = 2\\y_2 = 1\\y_1 = 1

AC = \sqrt{(2-(-5))^2+(1-1)^2} = 7

Vertical Leg,  AB:

x_2 = 2\\x_1 = 2\\y_2 = -1\\y_1 = 1

AB = \sqrt{(2-2)^2+(-1-1)^2} = 2

5 0
2 years ago
Read 2 more answers
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