Answer:
A) 6.32 in.
B) 71.56°
C) 36.88°
Step-by-step explanation:
To solve each part of the problem, let's pay attention to the triangle ABC shown in the figure.
A) The slant height (l) of the cone is the hypotenuse of the right triangle ABC, then, to calculate it you can apply the Pythagorean Theorem:
B) The angle asked is the angle ∠A, then, you have:
∠
°
C) The angle formed between the segments (which you can call α) that represent the slant heights is twice the angle ∠C.
By definition, the sum of the interior angles of a triangle is 180°,so you can calculate the angle ∠C as following:
∠
Then:
°
Answer:
1.625 kilograms
Step-by-step explanation:
Since total weight of pears and apples is 6.5 kilograms and 3/4 of this weight is pears, the weight of the pears is
→ 6.5 x 3/4 = 4.875 kilograms
Since the weight of the pears is 4.875, we can subtract it from the total weight to find the weight of the apples
→ 6.5 - 4.875 = 1.625 kilograms
Answer:
no
Step-by-step explanation:
A portion of the Quadratic Formula proof is shown. Fill in the missing statement. Statements Reasons x squared plus b over a times x plus the quantity b over 2 times a squared equals negative 4 times a times c all over 4 times a squared plus b squared over 4 a squared Find a common denominator on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Add the fractions together on the right side of the equation the quantity x plus b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Rewrite the perfect square trinomial on the left side of the equation as a binomial squared x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 4 times a squared Take the square root of both sides of the equation ? Simplify the right side of the equation x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 4 times a x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a squared x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over a
Let us assume that the total number of shares (also called the total holdings) held by Live Fund in Marks Brothers is 
.
Then obviously half the holdings (or half the number of shares) of Live Fund will be 
.
Thus, if each share is valued at $5000, then the total value of the number of shares sold (which is will be:
dollars or $
.
Thus, Live Fund will receive $ if they sold half their holding in Marks Brothers.
