Answer: The answer to the question "What portion of the whole snack does each friend get?" is: Tasha 1/2 of the snack, her friends 1/4 of the snack each one.
Step-by-step explanation:
The complete snack is 1. If you say that Tasha eats half of the snack that means that you must divide 1 in 2 parts. Then, that gives us 1/2 left.
Tasha gives 1/2 of the snack to her 2 friends and shares it equally. That means that again you must divide it in 2 parts. That gives us:
1/2 ÷ 2 = 4
When you divide a fraction (1/2) into an entire number (2) you must take into account that there is a 1 below the entire number (2). Having that in mind, the next step is to multiply in cross: the 1 above the 2 (1/2) will multiply the 1 below the 2 (2/1), And the 2 below the 1 (1/2) will multiply the 2 above the 1 (2/1). The result of the first multiplication will be the number above the fraction that means 1, and the result of the second multiplication will be the number below the fraction that means 4. The final result is 1/4 (look in the picture attached).
To conclude, each of her friends received 1/4 of the snack.
Attached you may find a picture of the parts of the snack that each friend received.
x = -5 is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)
<em><u>Solution:</u></em>
Given that, we have to write the equation of line that is parallel to line x = -2 and passes through point (-5, 4)
From given,
The equation of the line in standard form is x = -2
<em><u>This is a vertical line, so the parallel line will also be a vertical line of the form:</u></em>
x = a
Since we are given that the line should pass through the point (-5, 4) then the equation of the line is:
x = -5
Thus the equation of line is found
Answer:
B) 47.1°
Step-by-step explanation:
The tangent relation is useful here.
Tan = Opposite/Adjacent
The original height of the tree is the side of the triangle that is opposite the angle of elevation:
Opposite = Adjacent × Tan
original height = (25 ft)×tan(34°) ≈ 16.863 ft
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After growing an additional 10 ft, the tree has a height of ...
16.863 ft + 10 ft = 26.863 ft
Then the angle of elevation is found from ...
tan(angle) = (26.863 ft)/(25 ft) ≈ 1.07451
angle of elevation = arctan(1.07451) ≈ 47.057°
The angle of elevation to the top of the tree is about 47.1°.
Answer:
152 
Step-by-step explanation:
We know that the total surface area of a cuboid is the sum of the surface area of all six of its faces.
We also know that each opposing side has the same surface area. Thus the total surface area is equal to:
()
