Hey there!
c² = 5c
Subtract 5c from both sides:
c² - 5c = 5c - 5c
Simplify :
c² - 5c = 0
c = 5 , c = 0
the figure moved 7 to the right and 7 down
answer is C
By comparing with a right triangle, we will see that the height of the tree is 62.12ft
<h3>
How tall is the tree?</h3>
We can compare the situation with a right triangle. Such that the hypotenuse measures 68 ft, and an angle measures 66°.
We want to get the height of the tree, which would be the opposite cathetus, then we can use the relation:
Sin(a) = (opposite cathetus)/hypotenuse.
Sin(66°) = H/68ft
Tan(66°)*68ft = H = 62.12ft
The height of the tree is 62.12ft
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
You just need to do 12 1/5 ÷ 1 4/5.
To do this, first convert both fractions to improper fractions or topheavy fractions.
12 1/5 -
15 × 5 is 60, 60 + 1 is 61 so 12 1/5 = 61/5
1 4/5 -
1 × 5 is 5 and 5 + 4 is 9. 1 4/5 = 9/5
To divide fractions, you do keep, chang, flip (keep the 1st fraction, change the ÷ to ×, and flip the 2nd fraction)
the question starts as 61/5 ÷ 9/5 and becomes 61/5 × 5/9
multiplication in fractions is literally just numerator × numerator / denominator × denominator.
61 × 5 is 305. 5 × 9 is 45. the fraction is 305/45.
however, we need a whole number. 305/45 converted into a decimal is 6.7777778 (6.7 recurring). obviously you can't put a fraction of a book onto a shelt, so you round it down to the nearest whole number, which is 6.
final answer: 6
One hour and forty-five minutes
From 4:30 to 5:00 it's 30 minutes, from 5:00 to 6:00 it's one hour (we are at 1 hour and 30 minutes now), and from 6:00 to 6:15, it's 15 minutes.
In total, it's 30 minutes+1 hour+15 minutes which can be rearranged to say
1 hour+30 minutes+15 minutes that you can simplify to 1 hour+45 minutes or
1 hour and 45 minutes
