Length of segment HJ is 5√3 units
Step-by-step explanation:
Here, apply the Pythagorean relationship where sum of squares of the sides equals the square of the hypotenuse.
Given that the hypotenuse, c= 10 units, and one of the side, a=5 units, then the other side can be calculated as;
a²+b²=c²
5²+b²=10²
b²=10²-5²
b²=100-25
b²=75
b=√75 = √3*25 = √3 *√25 = √3 *5 = 5√3
Length of segment HJ is 5√3 units
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Pythagorean relationship:brainly.com/question/14532944
Keywords :triangle, right-angle, side, hypotenuse,line segment
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Answer:
James's monthly income is $1250.
Step-by-step explanation:
If the budget accounts for James's entire monthly income, the sum of the cost of all the items on the budget is his total monthly income.
Income = 300 + 175 + 125 + 200 + 250 + 50 + 25 + 125 = $1250
Answer:
Jake scored more on the spelling quiz. 80% is more than 68% so therefore he scored more on the quiz. To find 80% and 68%, you can use a percent of proportion or divide and multiply by 100.
Step-by-step explanation:
To find the percent of a score, you divide.
17/25 (division) = 0.68
0.68 is a decimal so to make it a percent you multiply by 100 = 68%
Or you can do it with fractions:
17/25 = ?/100: 68
16/20 = 0.8
Again, 0.8 times 100 = 80%
Or you can do it with fractions:
16/20 = ?/100: 80
He scored more on the spelling quiz, I hope this helps (justification on the answer).
Answer:
Choice C.
Step-by-step explanation:
You already have two sides and two angles. Now you need the other two sides that include the angle. Choice C is correct.
Answer:
(5x - 3y)(25x² +15xy + 9y²)
Step-by-step explanation:
125x³ - 27y³ is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²)
Given
125x³ - 27y³
= (5x)³ - (3y)³
= (5x - 3y)((5x)² + (5x)(3y) + (3y)²)
= (5x - 3y)(25x² + 15xy + 9y²)
