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vaieri [72.5K]
2 years ago
15

Tanya wants to find the height of the tree. She walks away from the base of the tree so the tip of her shadow coincides with the

tip of the tree's shadow at point C. BE is two and a half times EC. Tanya is 5 feet, 3 inches tall. How tall is the tree in feet?
Mathematics
1 answer:
Vikki [24]2 years ago
3 0
<span><u>Answer </u>
18 feet and 4.5 inches

<u>Explanation </u>
You are going to use the concept of similar triangle.
∆CED≡∆CBA
This is because they share the angle at C and also they both have an angle of 90o.
Let EC = X, then BE = 2.5X. So, BE = (X + 2.5X) = 3.5X
The scale factor EC/BC=x/3.5x=2/7
EC/BC=ED/BA=2/7
BA=7/2×63 in
The height of the tree = 220.5 inches. This is equal 18 feet and 4.5 inches.  
</span>
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Hazel covered a box with felt. The dimensions of the box are shown in the figure below:
maria [59]

<span>$36.36 because the area of the prism is 404sq. in. , 404x0.09 (for nine cents per sq. in.) = 36.36
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Hope this helps!! :)
8 0
2 years ago
4. Priya is teaching her younger cousin to ride a bike. She wants to stay on roads that are not too steep and easy enough for a
taurus [48]

Answer:

Having 2 meters and 25 meters legs and 3 meters and 30 meters legs.

Step-by-step explanation:

Priya thinks that an angle of elevation of 7 Degrees or less will be safe for a learner of bike riding.

Now, a 7-degree elevation angle in a right triangle will have a 3 : 25 ratio of its legs.

Therefore, the list of 2 right triangles that would be safe for a new rider will be having 2 meters and 25 meters legs and 3 meters and 30 meters legs.  

I both cases the angle of elevation will be less than 7 degrees. (Answer)

4 0
2 years ago
Which of the following shows the extraneous solution to the logarithmic equation below???
avanturin [10]
Short Answer x = - 6
Remark
You gave the second best answer. 

The trick here is not to divide both sides by 2. Solve the problem this way.

log_5(x + 1)^2 = 2 Take the antilog of both sides
(x + 1)^2 = 5^2       Expand the equation
x^2 + 2x + 1 = 25   Subtract 25 from both sides.
x^2 + 2x - 24 = 0    Factor
(x + 6)(x - 4) = 0     Find the zeros.

x + 6 = 0
x = - 6  <<<<<<<< Answer. This is the extraneous root.
The reason this is an extraneous root is that x<=0 do not have a logarithem

x - 4 = 0
x = 4    This is a legitimate result to the original equation.
7 0
2 years ago
Read 2 more answers
Most states categorize possession of cocaine charges by weight. Possessing less than a gram will result in the lowest level of f
AleksAgata [21]

Answer:

  Over 2 oz. Class A-II felony

Step-by-step explanation:

One would need to carefully weigh the material.*

  0.06 kg ≈ 2.12 oz

Note that .06 kg is 1 significant figure, so this rounds to 2 oz (1 significant figure). Given the precision of the reported weight, there is insufficient precision to say the amount is actually over 2 oz.

__

If you take the numbers at face value, the suspect is in possession of over 2 oz, so will be charged with a Class A-II felony.

_____

* 2.00 ounces translates to about 0.0567 kg, which rounds to 0.06 kg.

3 0
2 years ago
Jacinta buys 4 pounds of turkey and 2 pounds of ham. She pays a total of $30, and the turkey costs $1.50 less per pound than the
marissa [1.9K]

Given

jacinta buys 4 pounds of turkey and 2 pounds of ham & pays a total of $30, turkey costs $1.50 less per pound than the ham.

find out the combined cost of 1 pound of turkey and 1 pound of ham

To proof

As given in the question

jacinta buys 4 pounds of turkey and 2 pounds of ham

total pay by jacinta = $30

let us assume that the price of the ham = x

as given in the question

turkey costs $1.50 less per pound than the ham

turkey costs becomes = x - 1.50

then the equation becomes

30 = 4 (x - 1.50) + 2x

30 = 4x + 2x - 6

36 = 6x

x = 6

thus

ham cost per pound = $6

turkey cost per pound = 6 - 1.50

                                    = $ 4.5

Now find out

cost of 1 pound of turkey + 1 pound of ham = $ 6 + $ 4.5

                                                                       = $ 10.5

Hence proved





5 0
2 years ago
Read 2 more answers
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