Answer:
x ≈ 29.4 ft
Step-by-step explanation:
The model is a right triangle.
Using the tangent ratio
tan40° = =
( multiply both sides by 35 )
35 × tan40° = x , then
x ≈ 29.4 ft ( to 1 dec. place )
What percent of 60 is 15
2 answers:
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Question:
Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stopped to see how much farther he has to go. If Yan made eight stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan and climbed?
4+4+4+4
8+8+8+8
(-1)(4+4+4+4)
(-8) + (-8) + (-8) + (-8)
Answer:
Step-by-step explanation:
Given
<em></em><em> --- It is negative because he is climbing down</em>
Required
An expression for the number of rungs climbed
To do this, we simply multiply the number of rungs by the steps taken.
This can be rewritten as:
The product, when written as sum is:
Answer:
The volume is
Step-by-step explanation:
From the question ,
and
The volume of a pyramid is given as
From the question, the base of the pyramid is a square.
Hence base area is given by
This implies that the volume of the pyramid is
Let as described in the problem statement. Plugging in
and
gives us the equations
and
Since
are nonzero, we divide the second equation by the first to get
which means that
after taking the cube root. Plugging this value for
into the first equation, we now have
Solving gives
and our desired exponential equation is