Answer:
AH = 1 or 4
CH = 4 or 1
Step-by-step explanation:
An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...
AH/BH = BH/CH
AH·CH = BH²
The problem statement tells us AH + CH = AC = 5, so we can write
AH·(5 -AH) = BH²
AH·(5 -AH) = 2² = 4
This gives us the quadratic ...
AH² -5AH +4 = 0 . . . . in standard form
(AH -4)(AH -1) = 0 . . . . factored
This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.
Answer:
58.33%
Step-by-step explanation:
is %
-------- = ---------
of 100
Just plug in the numbers based on what it tells you.
What % = goes in the % spot
of 60 = goes in the of spot
is 35 = goes in the is spot
35 x
--------- = ---------
60 100
Cross multiply:
60 * x = 60x 35 * 100 = 3500
60x = 3500
Divide by 60 to get x by itself.
3500 / 60 = 58.33
Put the percent sign after it:
58.33%
I hope this helps.
Answer:
There are 11 different sums.
Step-by-step explanation:
When you roll two dice, the smallest number you can get is 2, and the largest 12, and you can get all in between. So 12-2 is equal to 10, but we have to add another 1 because 2 counts. So the answer is 11.
Answer:
16.7552
Step-by-step explanation:
The Area of a sector of a circle is θ/360 pi r²
so,
30/360 x 3.142 x 8 x 8
= 16.7551 to four decimal places is
