Answer:
A.
Step-by-step explanation:
tan x= 6/8
usually tan θ = perpendicular / base
So,
we get perpendicular = 6, base = 8
Now using Pythagorean Theorem to find hypotenuse
hyp² = base² + Perp²
hyp² = 8² + 6²
hyp²= 64 + 36
hyp²=100
Taking sq root on both sides
hypotenuse = 10
Now
sin θ = Perpendicular / Hyp
sin x = 6 / 10
Now
cos θ = base / Hyp
cos x = 8 / 10
Answer:
They are even numbers (divisible by two)
Step-by-step explanation:
The number column starts from 2 and is incremented by two for every number in the column. The remainder of the division of each number in the sequence is zero and the result of the division is sequence 1,2,3,4,5,6,7...
Therefore, the numbers in the column are even numbers.
Answer and Explanation:
Since this is an isosceles right triangle, you can use the ratio of side lengths specific to this type of triangle where both legs are the hypotenuse over root 2:
u = v = 164√2 / √2 = 164
so:
u = 164
v = 164
Answer:
So I'm not entirely sure about this one, but I believe he gained 0.21 pounds each day for 30 days
Step-by-step explanation:
Since Cam was born weighing 8.6 pounds and after 30 days weighed 14.9, subtract 14.9-8.6 to find how much he gained.
14.9 - 8.6 = 6.3
Now that we know how much he gained, we have to find out how much he gained per day for 30 days. To do this, divide 6.3 by 30
6.3 / 30 = 0.21
To make sure this answer is correct, multiply 0.21 by 30 and add that to 8.6. It should equal 14.9.
I hope this helps!
Answer:
At 7% $54,000
At 9% $156,000
Step-by-step explanation:
Let x be the amount invested at 7%, Then 2x + 48000 will be the amount invested at 9%
We know that:
7% = 0.07 & 9% = 0.09
So we can write the interest equation as follows:
0.07x + 0.09 (2x + 48000) = 17820
0.07x + 0.18x + 4320 = 17820
0.25x + 4320 = 17820
Subtracting 4320 from both sides of the equation we get:
0.25x = 17820 - 4320
0.25x = 13500
Dividing both sides of the equation by 0.25 we get:
x = 13500 / 0.25
x = $54,000 invested at 7%
&
2 x 54000 + 48000
= $156,000 invested at 9%
Hence the amount invested at 7% is $54,000.
& the amount invested at 9% is $156,000.
