Answer:
1. sine = opposite / hypotenuse = 30 / 34 = 15 / 17
cosine = adjacent / hypotenuse = 16 / 34 = 8 / 17
tangent = opposite / adjacent = 30 / 16 = 15 / 8
2. you have to use the law of sines function
the formula for law of sines is
sin of angle A / side A = sin of angle B / side B = sine of angle C / side C
The information we know is sin of a and side a which is 90 degrees and side A length of 20
we don't know Side B and C
we know sin of angle B = 45 degrees
all we have to do is ratios
now divide both sides by sin(90
left side both cancel and on right side 14.14/ sin(90 = 14.14 is the answer
Step-by-step explanation:
Answer:
3$
Step-by-step explanation:
18 - 3 = 15 divided by 5 = 3
The answer is
This is because a negative exponent creates a fraction (not a negative number) so 6^-1 becomes 1/6, but the answer is negative because the negative sign is outside the brackets. <span />
Answer:
Option (D)
Step-by-step explanation:
Area of a rectangle = Length × width
Area of large rectangle = (3x - 1)(3x + 7) square units
= (9x² + 21x - 3x - 7)
= 9x² + 18x - 7
Area of small rectangle = (2x + 5)x
= (2x² + 5x) square units
Area of the shaded region = Area of large rectangle - Area of small rectangle
= (9x²+ 18x - 7) - (2x² + 5x)
= (9x² - 2x²) + (18x - 5x) - 7
= (7x² + 13x - 7) square units
Therefore, Option (D) will be the correct option.
If you would like to know what is the solution to the system of equations, you can calculate this using the following steps:<span>
2d + e = 8
d - e - 4 = 0 ... d = e + 4
___________________
</span>
<span>2d + e = 8
</span><span>2 * (e + 4) + e = 8
2e + 8 + e = 8
3e = 0
e = 0
d = e + 4 = 0 + 4 = 4
(d, e) = (4, 0)
The correct result would be: C. The solution is (4, 0).</span>