He would need 5 1/4 cups of flour because 1 3/4*3/1 or 7/4*3/1 would equal
5 1/4
Answer:
(a) and (a)
Step-by-step explanation:
In both questions the denominator of the rational functions cannot be zero as this would make them undefined. Equating the denominators to zero and solving gives the values that x cannot be.
Given

solve (3 - x)(2 + x) = 0
Equate each factor to zero and solve for x
3 - x = 0 ⇒ x = 3
2 + x = 0 ⇒ x = - 2
x = 3 and x = - 2 are excluded values → (a)
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Given

solve
6x² + 10x - 4 = 0 ← in standard form
(x+ 2)(6x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
6x - 2 = 0 ⇒ 6x = 2 ⇒ x = 
x =
and x = - 2 are excluded values → (a)
Answer:
Area = 12.82 miles²
Step-by-step explanation:
Area of a triangle with two adjacent sides and the inscribed angle between these side is given by,
Area = ![\frac{1}{2}ab[\text{sin(C)}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dab%5B%5Ctext%7Bsin%28C%29%7D%5D)
By substituting the values of sides a, b and the angle C,
Area = ![\frac{1}{2}(5.7\times 9.3)[\text{sin}(14^{\circ})]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%285.7%5Ctimes%209.3%29%5B%5Ctext%7Bsin%7D%2814%5E%7B%5Ccirc%7D%29%5D)
= 12.82 square miles
Answer:
15/10 and 21/14
Step-by-step explanation:
Simplify:
9/5 and 19/10
Simplified; not proportional.
Simplify:
4/6 and 10/16
2/3 and 5/8
Simplified; not proportional.
Simplify:
25/35 and 20/24
5/7 and 5/6
Simplified; not proportional.
Simplify:
15/10 and 21/14
3/2 and 3/2
Simplified; proportional.
Answer:
h = 15 cm.
Step-by-step explanation:


Hope this helps