Answer:
114 ft
Step-by-step explanation:
Imagine or construct a right triangle with the 46 ft leg lying on the ground. This is the "adjacent side" of the triangle; it lies immediately adjacent to the 68 degree angle. The side opposite this angle is h, the height of the tree.
The tangent function includes angle, opp side and adj side:
tan 68 degrees = opp / adj = h / (46 ft), and so:
(46 ft)*tan (68 degrees) = opp = h
Then the height of the tree is h = (46 ft)(2.47) = 114 ft
Step-by-step explanation:
the surface area consists of 6 individual areas :
front and back (both are equal)
left and right (both are equal)
top and bottom
front and back are trapezoids.
the area of a trapezoid is
(base 1 + base 2)/2 × h
the bases are the 2 parallel sides.
in our case the area of one trapezoid is
(5 + 19)/2 × 12.1 = 145.2 ft²
front and back together then are 290.4 ft².
left and right are 8×14 rectangles:
8×14 = 112 ft²
together they are 224 ft².
the bottom is a 5×8 rectangle :
5×8 = 40 ft²
the top is a 19×8 rectangle :
19×8 = 152 ft²
so, the total surface area is
290.4 + 224 + 40 + 152 = 706.4 ft²
Answer:
7
Step-by-step explanation:
The first step to solve this problem is to convert 1h 30min into just minutes. since there are 60 minutes in 1 hour you take 60 and add it ot the 30 extra minutes to get a total of 90.
Now, this question is asking you to find how many calories <u>per</u> minute she burns. When you are asked to find ___ per___ all you have to do is divide the first number by the second one. In this case you will divide calories by minutes.
630/90=<u>7</u>
As the expression is not equal to zero on x=3, x-3 is not a factor of given expression
Step-by-step explanation:
Given expression is:
We have to check if x-3 is a factor of given expression
In order for x-3 to be a factor of expression, we have to put x-3 = 0 => x=3 in expression.
If the expression is zero at x=3 then x-3 is a factor of expression otherwise not.
So putting x=333 in expression
As the expression is not equal to zero on x=3, x-3 is not a factor of given expression
Keywords: Polynomials, expressions
Learn more about polynomials at:
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