If we have a square measuring 8 inches along every side, when we cut from corner to corner, we have 2 congruent triangles with base measures of 8 inches and height measures of 8 inches. We need to find the measure of the hypotenuse which we can find using Pythagorean's Theorem:
and
and
s0
c = 11.3
Answer:
10 cans
Step-by-step explanation:
Number of servings to be prepared = 32
Weight of each pound = 3 oz
Yield factor per can = 0.8
Now,
Total weight of the cans = 32 × 3 = 96 oz
Actual weight required with yield factor 0.8 = 
= 120 oz
Therefore,
The number of 12 oz cans required = 
= 10 cans
Since congruence and similarity for polygons is posted in a specific order, we know that angle A=angle F, side A=side F, die B=side G, and so on. Therefore, we have that angle C=angle H = 9x-7=5x+13. Subtracting 5x from both sides to separate the x using the subtraction property of equality, we get 4x-7=13. Next, we can add 7 to both sides to get 4x=20, and divide both sides by 4 to isolate the x and get x=5. Plugging that into angle C or angle H, we get that 9x-7=9*5-7=45-7=38=5*5+13.
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Answer:
10 + 0.05m; m = 350 minutes
Bob's phone bill will be $27.50
Step-by-step explanation:
$10 + ($0.05 x 350 minutes) = $27.50
Answer:
<em>D = 41</em>
Step-by-step explanation:
y = ax² + bx + c
The discriminant D = b² - 4ac tells the types of roots the equation has.
If D < 0 , then quadratic equation has no real roots, has two imaginary roots.
If D = 0 , then quadratic equation has one real root.
If D > 0 , then quadratic equation has two distinct real roots.
~~~~~~~~~~~~
x² + 5x - 4
a = 1, b = 5, c = - 4
<em>D </em>= 5² - 4(1)(- 4) = 25 + 16 =<em> 41</em>
