Answer:
Step-by-step explanation:
The formula that is used to calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width.
You know that the area of that rectangle is:
And, according to the exercise, its lenght is 7 more than its width; then:
Then, you can make the corresponding substitution into the formula :
Simplify:
Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.
Then, you get:
The width of the rectangle is the positive value:
Then, the lenght is:
Answer:
Step-by-step explanation:
Given
Required
Determine the expression for s
The speed is calculated as:
Substitute S for speed
Let the number of books be b and the time be m.
The expression becomes
Hence, the expression for the scenario is:
Answer: 4
Step-by-step explanation:In geometry a quadrilateral is a four-sided polygon, having four edges and four corners. The word is derived from the Latin words quadri, a variant of four, and latus, meaning side
9514 1404 393
Answer:
r = 14.5
Step-by-step explanation:
AD is the perpendicular bisector of chord EC, so is the diameter of the circle. The radius is half the diameter.
r = AD/2 = (AB +BD)/2 = (25 +4)/2 = 29/2
r = 14.5
__
Segments BE and BC are 10 = √(25·4)
Answer:
Hulian's age is 7.
Thomas's age is 22.
Step-by-step explanation:
Let Hulian = h
Let Thomas = t
Set the system of equation:
h = t - 15
h + t = 29
Plug in t - 15 for h in the second equation:
(t - 15) + t = 29
Simplify. Combine like terms:
2t - 15 = 29
Isolate the variable, t. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 15 to both sides:
2t - 15 (+15) = 29 (+15)
2t = 44
Divide 2 from both sides:
(2t)/2 = (44)2
t = 44/2
t = 22
Plug in 22 for t in one of the equations:
h = t - 15
h = 22 - 15
h = 7
Hulian's age is 7.
Thomas's age is 22.
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