Answer:
A: 7 + 3 (negative 4) (2)
Step-by-step explanation:
Just as a rule of thumb, whenever you multiply or divide one negative number and one positive number, the outcome is always negative. However, whenever you multiply or divide two negative numbers OR two positive numbers, the outcome is always positive.
Now, let's first convert all these words into simple mathematical expressions and then solve them:
A) "7 + 3 (negative 4) (2)" = 7 + 3 * (-4) * 2 = 7 + (-24) = -17
B) "Negative 2 Left-bracket 12 divided by (negative 3) Right-bracket" =
-2 * [12/(-3)] = -2 * (-4) = 8
C) "(15 minus 7) minus (9 divided by 3)" = (15 - 7) - (9/3) = 8 - 3 = 5
D) "Negative 5 Left-bracket 7 + (negative 14) Right-bracket minus 30" =
-5 * [7 + (-14)] - 30 = -5 * (-7) - 30 = 35 - 30 = 5
The only expression that produces a negative value is the first one, A.
Hope this helps!
Answer:
Step-by-step explanation:
volume=1/3×πr²h
=1/3π×(11.2/2)²×5.9
=1/3×22/7×(5.6)²×5.9
≈1/3×22×5.6×8×5.9
≈1938.3 in³
No more than in terms of math means less than or equal to.
P = 2l + 2w
{96 ≤ 2l + 2w
{L ≥ w - 4
Here we see a system of linear inequality in two variables.
You finish.
Answer:
60°
Step-by-step explanation:
Through point B draw a line m || AY || CX and take two points say E and F on left and right side of point B respectively.
Therefore,
m∠FBC + m∠XCB = 180°..(By interior angle property)
m∠FBC + 130° = 180°
m∠FBC = 180° - 130°
m∠FBC = 50°....(1)
Next,
m∠ABF = m∠BAY... (Alternate angles)
m∠ABC + m∠FBC = 110°
(since, m∠ABF = m∠ABC + m∠FBC)
m∠ABC + 50° = 110° (From equation 1)
m∠ABC = 110° - 50°
