Answer:
3/10 liter
Step-by-step explanation:
Assuming your statement indicates that in 4/3 liters of punch, there is 2/5 liters of water, then the proportion of water in the punch is calculated as:
(2/5)/(4/3) = (2/5)(3/4) = 3/10
So, 3/10 of a liter of water is included in each liter of punch.
Answer: 5
Explanation step-by-step: There are six boxes stacked between the top of the third box and the bottom of the tenth box.
Since each box measures 10 inches in height, the combined height of these six boxes is 60 inches.
Given that 12 inches equals 1 foot,
60 inches corresponds to 5 feet.
How to find the answer:
Let "y" represent the unknown length in feet.
12 inches = 1 foot
60 inches = y
Using cross multiplication:
> 12 × y = 60 × 1
> 12y = 60
Divide both sides by 12 to solve for "y":
> 12y ÷ 12 = 60 ÷ 12
After simplification, we get:
> y = 5
Given that we have all three sides of the triangle, we can classify this as a Side-Side-Side (SSS) triangle. To find the angle, we start by applying the Law of Cosines specifically to the side opposite the angle of interest, which is angle W, opposite side XV:
XV² = XW² + WV² - 2(XW)(WV)cos W
Plugging in the known values:
116² = 96² + 89² - 2(96)(89)cos W
Calculating W
13,456 = 9,216 + 7,921 - 17,088 cos W
13,456 = 17,137 - 17,088 cos W
13,456 - 17,137 = 17,137 - 17,088 cos W - 17,137
-3,681 = -17,088 cos W
(-3,681)/(-17,088) = (-17,088 cos W)/(-17,088)
0.215414326 = cos W
cos W = 0.215414326
To find W:
W = cos^(-1)(0.215414326)
Calculating with a calculator:
W ≈ 77.56016397°
Rounded to one decimal place:
W ≈ 77.6°
Answer: The third option, 77.6°
Which expression corresponds to 100 n2 − 1? (10n)2 − (1)2 (10n2)2 − (1)2 (50n)2 − (1)2 (50n2)2 − (1)2
Regroup:
100n^2-1
=10^2n^2-1
=(10n)^2-1^2
Thus, the correct answer is :
(10n)^2-1^2
To begin factoring a polynomial with four or more terms that lacks a common factor, first organize it into groups. Each group can potentially be factored separately, and any resulting expressions may allow for additional factorization if a greatest common factor<span> or special form is established.</span>
