The area of a rectangle is 28 square miles. The length is 7 miles.What is the width of the rectangle?
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the width of the rectangle is 4 miles
4 mi. because L times W = H
What is bigger 11/14 or 3/4?
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Step 1: Reduce (simplify) entered fractions to lowest terms, if the case: Fraction: 3 / 4 it's already reduced to lowest terms Fraction: 11 / 14 it's already reduced to lowest terms
Step 2: Calculate LCM (lowest common multiple) of the reduced fractions' denominators, it will be the common denominator of the compared fractions: Denominator 4, factored = 22 Denominator 14, factored = 2 * 7 LCM (4, 14) = 22 * 7 = 28
Step 3: Calculate each fraction's expanding number (LCM divided by each fraction's denominator): For fraction: 3 / 4 is 28 : 4 = (22 * 7) : 4 = 7 For fraction: 11 / 14 is 28 : 14 = (22 * 7) : 14 = 2
Step 4: Expand fractions to bring them to the common denominator (LCM): 3 / 4 = (7 * 3) / (7 * 4) = 21 / 28 11 / 14 = (2 * 11) / (2 * 14) = 22 / 28
All ball is thrown into the air with an upward velocity of 24 ft/s. Its height h in feet after t seconds is given by the function h=-16t^2+24t+7. a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball's maximum height?
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//I'm going to use differentiation to show you how to do this, although I would normally use mechanics.
dh/dt = -32t + 24 -32t + 24 = 0 when maximum 32t = 24 t = 24/32 t = 3/4
//To find the maximum height just substitute "t" in
h = -16 (9/16) + 24(3/4) + 7 h = -9 + 18 + 7 h = 16ft
Answer:
0.75 s; 16 ft
Step-by-step explanation:
The endpoints of on are located at O(1, 2) and N(3, 1). Using slope-intercept form, write the equation of line on.
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y = -1/2x +2 1/2 General equation; y = mx + c
Calculating the slope; Change in y/ (change in x) = gradient m
(2-1)/(1-3) = - 1/2
Replacing m gives; y= -1/2x + c
Calculating the value of c take point (1,2) above and replace y with 2 and x with 1 2=-1/2 *1 +c c = 2 1/2 Equation then is y = -1/2x +2 1/2
A countertop is 16 feet long and 3 feet wide. what is the area of the countertop in square meters
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The area of the countertop is (16-ft x 3-ft) = 48 feet² .
1 foot = 0.3048 meter (rounded)
(1 foot)² = (0.3048 meter)² = 0.0929 meter²
48 feet² = (48 x 0.0929) = 4.459 meter² (rounded)
Simplify and identify and x-values for which the expression is undefined. 4x-8 divided by x^2-2x