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Answer:
The length of each side of the square is (2a-5)units
Step-by-step explanation:
4a^2 - 20a +25
= (2a)^2 - 20a + (-5)^2
=(2a - 5)^2
Since the length of a square given a l produces an area l^2 then the length of the side l is the square root of the area l^2
length of side is therefore square root of (2a -5)^2 which is (2a-5)
The area of a rectangle whose one side is x and the other is y is xy, the product of x and y.
(9a^2 - 16b^2)
= (3a)^2 - (4b)^2 this is the difference of two squares, the factors are therefore
= (3a + 4b) * (3a - 4b)
The dimensions of the rectangle are:
one pair of opposite sides are 3a + 4b
and the other pair of opposite side perpendicular to the first pair is 3a - 4b
Answer:
x = 9.9 or 10
Step-by-step explanation:
to find missing angle -->
90 + 61 + z = 180
151 + z = 180 *subtract 151 from both sides*
z = 29
to find x -->
tan (29) = x/18 *put tan(29) over 1 then cross multiply*
x = 18 (tan(29))
x = 9.97 --> round up to 10
Answer:
B.
Step-by-step explanation:
The answer is B because 3/5 of 1/2 is less than 1/2. The equation that represents this problem is
3/5 x 1/2 = 3/10
3/10 < 1/2
Therefore, 3/5 is less than 1/2!
Applying the Pythagorean theorem, the height of the building is: 24.9 m.
<h3>How to Apply the Pythagorean Theorem?</h3>
Where c is the length of the hypothenuse of a right triangle, and a and b are the legs of the right triangle, the Pythagorean theorem states that:
c = √(a² + b²).
The diagram of the building and its shadow form a right triangle as shown in the image below, where:
a = height of the building
b = 26
c = 36
Applying the Pythagorean theorem, we will have:
a = √(36² - 26²)
a = √(36² - 26²)
a = 24.9 m
Learn more about the Pythagorean theorem on:
brainly.com/question/343682
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