Answer:
1) 27.374
2)9.177
Step-by-step explanation:
1) To get the value of x , we use the appropriate trigonometric ratio
From what we are given;
we have the hypotenuse ( the side facing the right angle) and the adjacent
The trigonometric identity to use here is the cos
The cos of an angle is the ratio of the adjacent to the hypotenuse
cos 64 = 12/x
x = 12/cos 64
x = 27.374
2) Here, we are given the hypotenuse and the opposite
The trigonometric ratio to use here is the sine
the sine of an angle is the ratio of the opposite to the hypotenuse
thus, we have it that;
sin 35 = x/16
x = 16 sin 35
x = 9.177
Step-by-step explanation:
m < QRS = m < URS + m < QRU
30x - 4 = 60° + 15x - 4
15x = 60°
X = 4°
<u>m < QRS</u> = 30 * 4 - 4 = <u>116°</u>
<span> sorry it's such a long answer 111.278928823</span>
Answer:
The slope is -0.89 and the y-intercept is (0, -3.05).
Step-by-step explanation:
To find the slope and y-intercept, convert the equation to y=mx+b where m=slope and b=y-intercept.
Convert the equation by rearranging the terms using inverse operations.
-1.7x - 1.9y = 5.8 Add 1.7x to both sides.
+1.7x +1.7x
------------------------------------
-1.9y = 5.8 + 1.7x Divide both sides by -1.9.
y= - 0.89 x - 3.05
This is now in y=mx+b and m=-0.89 and b=-3.05.
The slope is -0.89 and the y-intercept is (0, -3.05).
Answer:
20-(4(3)+7)=20 or 20-C=G
Step-by-step
The money allowed is $20 so the cost of everything subtracted from 20 is equal to the amount of change received a.k.a G
