9514 1404 393
Answer:
C - 24 square root of 2
Step-by-step explanation:
In case you haven't memorized the fact that the diagonal of a square is √2 times the side length, you can figure it from the Pythagorean theorem.
d² = s² + s² . . . . square of hypotenuse is sum of squares of sides
d² = 2s²
d = s√2 = (24 ft)√2 = 24√2 ft
Answer:
4. 75
Step-by-step explanation:
To find the area of a triangle, use the formula A = 1/2*b*h. For #4 the base is 15 and the height is 10. So the area is A = 1/2*10*15 = 5*15 = 75.
The area is 75.
Repeat this process with each triangle.
Answer: choice A
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Explanation:
The graph shown is the inequality x > 10
So we need to see which answer choice solves to get that inequality.
Let's go through each choice one by one
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Choice A
x/5 - 6 > -4
x/5 - 6+6 > -4+6
x/5 > 2
5*(x/5) > 5*2
x > 10
So we found the answer on the first try. Let's see what the other answer choices say.
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Choice B
x/5 - 5 > 45
x/5 - 5+5 > 45+5
x/5 > 50
5*x/5 > 5*50
x > 250
This can be eliminated
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Choice C
x/5 - 6 < -4
x/5 - 6+6 < -4+6
x/5 < 2
5*x/5 < 5*2
x < 10
This is close to choice A, but the inequality sign has been flipped
This choice can be eliminated
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Choice D
x/5 + 5 > -45
x/5 + 5-5 > -45-5
x/5 > -50
5*x/5 > 5*(-50)
x > -250
This answer choice can be eliminated
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Choice A is the only answer.
Answer:
d. 4x^2-20x-25
Step-by-step explanation:
So, we have to multiply (2x-5) by itself. That gives:
(2x-5) (2x-5) = 2x (2x-5) - 5 (2x-5) = 4x² - 10x -10x + 25
so, the correct answer is 4x² - 20x + 25
It's just important to multiply each component carefully by using the distributive property.
X=17 since
X+95+4x=180
5x+95=180
Subtract 95
5x=85
X=17