3. If the legs of an isosceles right triangle are 10 inches long, approximate the length ofthe hypotenuse to the nearest whole number
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Answer:
Using the Pythagorean theorem for isosceles right triangle, the length of the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in
Hope this helps!
:)
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Every square meter of solar paneling produces 0.2 kilowatts of electricity. Which of the following models this situation?
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b) Use the Quadratic Formula to solve the equation. Write the solution in terms of i.
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From their sum, the numbers are ' x ' and ' 8 - x ' .
From their product, x(8 - x) = 80 .
When you massage and manipulate this equation into the standard
quadratic form, you have
x² - 8x + 80 = 0 .
Applying the quadratic formula to tease out the solutions of this equation,
we find that they are
x = 4 + 64 i
and
x = 4 - 64 i
Final answer:
The two numbers are represented by x and 8 - x. By setting x * (8 - x) = 80, we obtain a quadratic equation which can be solved using the Quadratic formula to find x = 2 and x = -40. However, we ignore the negative solution as we're dealing with positive numbers, resulting in 2 and 6 as the two numbers.
Explanation:
First, let's identify the two numbers. Let's let x represent one of these numbers. Because we're told that the sum of the two numbers is 8, we can express the second number as 8 - x.
Next, let's use this information to write our equation. We're told that the product of our two numbers is 80. In terms of x, we can write this as: x * (8 - x) = 80. Simplify this to obtain the quadratic equation: -x^2 + 8x - 80 = 0.
From this, we can apply the Quadratic Formula, which is x = [-b ± sqrt(b^2 - 4ac)] / (2a). Substituting a = -1, b = 8, and c = -80 into the formula, we find the solutions are x = 2 and x = -40. However, since we're dealing with positive numbers here, we can ignore the negative solution, leaving us with the two numbers as 2 and 6.
Learn more about Quadratic Equation here:
#SPJ11
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Answer:
6 training sessions.
Step-by-step explanation:
Let there be x training sessions at both the gyms.
At silver gym,
Total cost = membership + personal training session
= 25+45x ...(1)
At Fit Factor,
Total cost = 85+35x ....(2)
If the total cost at the two gyms equal,
25+45x=85+35x
Taking like terms together,
45x-35x=85-25
10x=60
x = 6
Hence, Sarah must buy 6 training sessions.
Please explain :)
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Answer:
m=2/3.
Step-by-step explanation:
the equation for slope is y=mx+b, where m is slope. So, 2/3 is your slope.
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You expect to make 208 free throws.
Hope this helps. - M
Answer:
208
Step-by-step explanation:
i got it right on ttm
4
undefined
- 7
4
0
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(y-y')= m (x-x')
(8-1)= m {-2 -(-2)}
7 = m (-2+2)
7 = m x 0
m= (7÷0)
so m is undefined.
so; the slope of the line is undefined... :)