Answer:
50-25 2/3 - 9 3/4 - 8 1/2 = 6 1/12
Step-by-step explanation:
To do this without a calculator you need to get common denominator
a good choice would be 12 for the common denominator
50 x 12 = 600
25 x 12 = 300
convert to 2/3 to x/12, multiply top and bottom by 4
2/3 x 4 = 8/12
add this to the 300 to get 308/12
same with the other terms
9 x 12 = 108
convert 3/4 to x/12, multiply top and bottom by 3
3/4 x 3 = 9/12
add this to the 108 to get 117/12
and do the same for the 8 1/2
8x 12 = 96
convert 1/2 to x/12, multiply top and bottom by 6
1/2 = 6/12, add this to the 96
do the subtraction and simplify
Answer:
y = 2x - 7
Step-by-step explanation:
Looks like we already have the slope of this line: It is 2. Working with the point (1, -5), we have x = 1 and y = -5 and can from this info easily find the y-intercept, b:
y = mx + b becomes
y = 2x + b, which in turn becomes
-5 = 2(1) + b, or
b = -7,
and so the desired equation is y = 2x - 7
just add them up. ans:14 1/4 pounds
Answer:
a. segment DE and segment EF are congruent to each other but not to segment DF, and their slopes are not related.
Step-by-step explanation:
In order for a triangle to be isosceles, two of the line segments must be congruent. (eliminates choices C and D)
If the slopes of the congruent segments are negative reciprocals of each other, the triangle is a right triangle, not an acute triangle. (eliminates choice B)
With choices B, C, D eliminated, we are left with choice A.
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However, <em>that necessary description is not sufficient</em> to constrain the triangle to be an acute triangle. In order for the triangle to be acute, the third side must be less than √2 times the length of either of the congruent sides.
The correct answer is "none of the above."
Answer:
19.625
Step-by-step explanation:
If the square's diagonal is 5 and the circle is inscribed in it, that means that the radius is 2.5
2.5^2*3.14
=19.625
