Answer:
JL ≈ 32
Step-by-step explanation:
The triangle JKL has a side of JK = 24 and we are asked to find side JL. The triangle JKL is a right angle triangle.
Let us find side the angle J first from the triangle JKM. Angle JMN is 90°(angle on a straight line).
using the cosine ratio
cos J = adjacent/hypotenuse
cos J = 18/24
cos J = 0.75
J = cos⁻¹ 0.75
J = 41.4096221093
J ≈ 41.41°
Let us find the third angle L of the triangle JKL .Sum of angle in a triangle = 180°. Therefore, 180 - 41.41 - 90 = 48.59
Angle L = 48.59
°.
Using sine ratio
sin 48.59
° = opposite/hypotenuse
sin 48.59
° = 24/JL
cross multiply
JL sin 48.59
° = 24
divide both sides by sin 48.59
°
JL = 24/sin 48.59
°
JL = 24/0.74999563751
JL = 32.0001861339
JL ≈ 32
If you would like to simplify (3x^2 - 2) * (5x^2 + 5x - 1), you can calculate this using the following steps:
(3x^2 - 2) * (5x^2 + 5x - 1) = 3x^2 * 5x^2 + 3x^2 * 5x - 3x^2 * 1 - 2 * 5x^2 - 2 * 5x + 2 * 1 = 15x^4 + 15x^3 - 3x^2 - 10x^2 - 10x + 2 = 15x^4 + 15x^3 - 13x^2<span> - 10x + 2
</span>
The correct result would be 15x^4 + 15x^3 - 13x^2<span> - 10x + 2.</span>
Answer:
it will be 19, 23, 27
Step-by-step explanation:
all you have to do is check the pattern the sequence uses to progress. in this sequence it increases by adding 4 to a previous number.
so;
3 + 4= 7
7 + 4= 11
11 + 4= 15... and so on
i hope this helps
Answer:

Step-by-step explanation:
They are just asking you to compare
to
.
What constant values are in the place of
.


