Answer:
6
Step-by-step explanation:
You have everything you need to solve this:
a = 4 b = 3 c = 10
So since you are given those, you just need to fill in the equation and then solve it.
Change the a to 4
Change the b to 3
Change the c to 10
7. G
8. L
9. M
10. K
11. I
12. P
13. Q
14. N
15. J
16. H
17. S
18. R
Answer:
His weekly exercise time goal is 168 minutes.
Step-by-step explanation:
This question can be solved using a rule of three.
42 minutes is 25% = 0.25 of the total
x minutes is 100% = 1 of the total.
Then
42 minutes - 0.25
x minutes - 1
His weekly exercise time goal is 168 minutes.
<h3>
Answer: 4</h3>
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Rule:
If A+B = 90, then tan(A) = 1/( tan(B) ) and tan(B) = 1/( tan(A) )
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Since C = 90, this must mean the other two angles A and B are acute and complementary. So A+B = 90 must be the case. This allows us to use that rule above.
So,
tan(B) = 1/( tan(A) )
tan(B) = 1/( 0.25 )
tan(B) = 4
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Here's another way to think about it.
If tan(A) = 0.25, then we could have BC = 1 and AC = 4 as the opposite and adjacent sides respectively. That leads to tan(A) = opposite/adjacent = BC/AC = 1/4 = 0.25
When computing tan(B), the BC and AC sides swap roles in terms of opposite and adjacent,
tan(B) = opposite/adjacent = AC/BC = 4/1 = 4.
For any of these cases, we don't involve the hypotenuse AB.
The following are true:
<span>The graph has a relative minimum
The graph of the quadratic function has a vertex at (0,5)
The graph opens up
The axis of symmetry is x=0
It has a minimum point; there is a smallest value of y for this function. The vertex will be that minimum point, (0, 5). Since that is the vertex, that means x=0 is the axis of symmetry. It opens up because all of the other points are above the vertex.
It does not have any x-intercepts, since the lowest y-value is 5 (the vertex). The y-intercept would be at (0, 5), not (5, 0).</span>