Answer:
D. 58
Step-by-step explanation:
The multiplication and division are performed first.
... 32 +6·5 -7 +12/4
... = 32 +30 -7 +3
Then, the Order of Operations tells you to do the addition/subtraction left to right. Of course, if you keep the sign with the number, you can do the addition in any convenient order.
... = 62 -7 +3
... = 55 +3
... = 58
To solve this expression, we need to plug r into the equation.
1 + (5)2 - (5)
= 1 + 10 - 5
= 11 - 5
= 6
Hope this helps!
Answer:
A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.
17°
27°
63°
73°
Step-by-step explanation:
Answer:
Option B
Step-by-step explanation:
Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides
Area of the triangular sides = 2(Area of the triangular base)
= ![2[\frac{1}{2}(\text{Base})(\text{Height})]](https://tex.z-dn.net/?f=2%5B%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BBase%7D%29%28%5Ctext%7BHeight%7D%29%5D)
= 10 × 12
= 120 ft²
Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)
= (10 + 13 + 13)(15)
= 36 × 15
= 540 ft²
Surface area of the prism = 120 + 540
= 660 square feet
Option B will be the answer.
Answer:
y = 3
Step-by-step explanation:
Solve for y:
y + 3 = 9 - y
Add y to both sides:
y + y + 3 = (y - y) + 9
y - y = 0:
y + y + 3 = 9
y + y = 2 y:
2 y + 3 = 9
Subtract 3 from both sides:
2 y + (3 - 3) = 9 - 3
3 - 3 = 0:
2 y = 9 - 3
9 - 3 = 6:
2 y = 6
Divide both sides of 2 y = 6 by 2:
(2 y)/2 = 6/2
2/2 = 1:
y = 6/2
The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:
Answer: y = 3
