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Answer:
11 m and 14 m
Step-by-step explanation:
Legs: x and y
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1/2xy= 77 ⇒ xy= 154
√x²+y²= √317 ⇒ x²+y²=317
x²+y²+2xy= (x+y)²= 2*154+317= 625 ⇒ x+y= √625= 25
x= 25-y
xy=154 ⇒ y(25-y)= 154 ⇒ 25y- y²=154 ⇒ y²- 25y +154=0 ⇒ y=11 and y=14
x= 25-y= 14 and 11
If the triangle is increased to twice the base and the height the size will increase by 48 ft²
<h3>How to find the area of a triangle?</h3>
The area of a triangle can be described as follows;
area of a triangle = 1 / 2 bh
where
Therefore, the total area of the garden is 16 square feet.
Hence,
16 ft² = 1 / 2 bh
Hence, if the the triangle is increased to twice the base and the height the size will be as follows;
area = (1 / 2) × 2b × 2h
area = 4 × (1 / 2 bh)
area = 4 × 16
area = 64 ft²
Therefore,
difference in area = 64 ft² - 16 ft²
difference in area = 48 ft²
Therefore, if the the triangle is increased to twice the base and the height the size will increase by 48 ft²
learn more on triangle here: brainly.com/question/9593766
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Answer: (I am not a maths moderator)
x=4
Step-by-step explanation:
Multiply the exponents
(2x-4)^12=(4^2)^6 (exponents multiply so)
(2x-4)^12=4^12
4^12 = 16777216
(2x-4)^12= 16777216
Take the 1/12 exponent for both sides
that will remove the ^12 exponent from the left side and will take the 12th root for the right.
2x-4=4
add 4 to both sides
2x=8
divide both sides by 2
x=4