The least common denominator of 5 and 15 is 15.
Answer:
The length of the side opposite the 60 degree angle 'c' = 4
Step-by-step explanation:
<u>Step(i)</u>:-
Given data ∠A = 90° , ∠B = 60° and ∠C = 30°
Given data the length of the side opposite the 30 degree angle is 8
let 'a' = 8
<u><em>step(ii)</em></u>:-
<em>By using sine rule formula in properties of triangle</em>
<em></em>
<em></em>
<em></em>
<em></em>
cross multiplication , we get
<em></em>
<em>we know that trigonometry formulas</em>
<em>sin 30° = </em>
<em> and sin 90°= 1</em>
<em>C = 8 X 1/2 = 4</em>
<u><em>conclusion</em></u>:-
<em>The length of the side opposite the 60 degree angle 'c' = 4</em>
<em></em>
Answer:
3x−1
Step-by-step explanation:
1 Split the second term in 6{x}^{2}+x-16x
2
+x−1 into two terms.
\frac{6{x}^{2}+3x-2x-1}{4{x}^{2}-1}
4x
2
−1
6x
2
+3x−2x−1
2 Factor out common terms in the first two terms, then in the last two terms.
\frac{3x(2x+1)-(2x+1)}{4{x}^{2}-1}
4x
2
−1
3x(2x+1)−(2x+1)
3 Factor out the common term 2x+12x+1.
\frac{(2x+1)(3x-1)}{4{x}^{2}-1}
4x
2
−1
(2x+1)(3x−1)
4 Rewrite 4{x}^{2}-14x
2
−1 in the form {a}^{2}-{b}^{2}a
2
−b
2
, where a=2xa=2x and b=1b=1.
\frac{(2x+1)(3x-1)}{{(2x)}^{2}-{1}^{2}}
(2x)
2
−1
2
(2x+1)(3x−1)
5 Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)a
2
−b
2
=(a+b)(a−b).
\frac{(2x+1)(3x-1)}{(2x+1)(2x-1)}
(2x+1)(2x−1)
(2x+1)(3x−1)
6 Cancel 2x+12x+1.
\frac{3x-1}{2x-1}
2x−1
3x−1
My final answer is automatic 588
STEP 1:
Add up all cups of ingredients
=15 + 6 + 1 + 1
= 23 cups of ingredients
STEP 2:
convert cups to quarts
4 cups= 1 quart
=23 ÷ 4
divide total cups by # of cups in 1 quart
= 5 quarts (with 3 cups left)
STEP 3:
find number of pints with 3 cups left
2 cups= 1 pint
= 3 ÷ 2
divide total cups left by # cups in 1 pint
= 1.5 pints
*Add the number of pints in step 3 to the number of quarts in step 2.
ANSWER: He can fill 5 quarts and 1.5 pints.
Hope this helps! :)
