Answer:
The answer is C. 11/29
Step-by-step explanation:
Simplify the left side.
29a - 5 = 6
Move all terms not containing a to the right side of the equation.
29a = 11
Divide each term by 29 and simplify.
a
= 11
/29
9514 1404 393
Answer:
arc AC = 63°
Step-by-step explanation:
Arc BC is twice the measure of inscribed angle BAC, so is ...
arc AC = 2×89° = 178°
The remaining arc of the circle is the difference between 360° and the sum of the other two.
arc AC = 360° -119° -178°
arc AC = 63°
Answer:
He needs 3.75 lbs of sugar and 1.25 lbs of water.
Step-by-step explanation:
Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.
Note
5 lbs - 100%
x lbs - 75%
Write a proportion:

Cross multiply:

So, he needs 3.75 lbs of sugar and 5 - 3.75 = 1.25 lbs of water.
Answer:
5 = side a
3 = side c
angle B = 62 degrees
JK is side b
Use the Law of Cosines to find the length of side b.
b^2 = a^2 + c^2 − 2ac cos(B)
b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)
b^2 = (25 + 9) − 30 x 0.469
b^2 = 34 - 30 x 0.469
b^2 = 34 - 14.084
b^2 = 19.916
b = √19.916
b = 4.463
Rounded to the nearest tenth is 4.5 mm.
Hope this helps!
Step-by-step explanation:
$10 dollars because she made 5 dollars in 30 minutes so you would take it times 2