Answer:
The rope is 24 yards.
Step-by-step explanation:
1 yard = 3 feet
therefore
72 ft / 3 = 24
Answer:
-4h < - 14
We solve for h by applying the inverse operations;
The inverse operation of multiplication is division, so we divide by -4 on both sides;
/-4 /-4
h < 3.5, it could be <u>3.4, 3.3, 3.2 3.123, 2.4, 2.576</u>, there are tons of numbers below 3.5.
<u>So anything below 3.5 would best be suitable for the equation.</u>
Factor by grouping. Group up the terms into pairs, factor each pair, then factor out the overall GCF.
x^3 + 2x^2 - 16x - 32
(x^3 + 2x^2) + (-16x-32) ... pair up terms
x^2(x + 2) + (-16x - 32) ... factor x^2 from the first group
x^2(x + 2) - 16(x + 2) ... factor -16 from the second group
(x^2 - 16)(x + 2) .... factor out (x+2)
(x - 4)(x + 4)(x + 2) .... Use the difference of squares to factor x^2-16
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The original expression completely factors to (x - 4)(x + 4)(x + 2)
The three factors are x - 4 and x + 4 and x + 2
Answer:
In order to do so, we need to use basic algebra. The angles in a kite add up to 360 degrees. so we form the following equation.
x + y + y + 16 = 360
x + y + y = 344 <----(360 -16)
Each letter or variable represents an angle measure. the measures of the three angles left. The 16 degrees is on the bottom of the kite and the angle opposite is the top angle. the two side angles will be the same measure that's why they are both y.
x + 2y = 344
The two side angles will be 90 or greater because there is only 1 acute angle. 90 is the smallest number that can be chosen. so we do the following.
Step-by-step explanation:
x + 2(90) = 344
x + 180 = 344
x = 344-180
x = 164
THE MAXIMUM WHOLE NUMBER MEASURE OF THE ANGLE OPPOSITE OF THE 16 DEGREE ACUTE ANGLE IS 164 DEGREES*
