<h3><u>The length is equal to 13.</u></h3><h3><u>The width is equal to 8.</u></h3>
l = 2w - 3
2l + 2w = 42
Because we have a value for l, we can plug it into the second equation to solve for w.
2(2w - 3) + 2w = 42
Distributive property.
4w - 6 + 2w = 42
Combine like terms.
6w - 6 = 42
Add 6 to both sides.
6w = 48
Divide both sides by 6.
w = 8
Now that we have a value for w, we can solve for the exact value of l.
l = 2(8) - 3
l = 16 - 3
l = 13
Answer:
The number of distinct arrangements is <em>12600</em><em>.</em>
Step-by-step explanation:
This is a permutation type of question and therefore the number of distinguishable permutations is:
n!/(n₁! n₂! n₃! ... nₓ!)
where
- n₁, n₂, n₃ ... is the number of arrangements for each object
- n is the number of objects
- nₓ is the number of arrangements for the last object
In this case
- n₁ is the identical copies of Hamlet
- n₂ is the identical copies of Macbeth
- n₃ is the identical copies of Romeo and Juliet
- nₓ = n₄ is the one copy of Midsummer's Night Dream
Therefore,
<em>Number of distinct arrangements = 10!/(4! × 3! × 2! × 1!)</em>
<em> = </em><em>12600 ways</em>
<em />
Thus, the number of distinct arrangements is <em>12600</em><em>.</em>
Complete Question
In ΔUVW, w = 9 cm, v = 22 cm and ∠V=136°. Find all possible values of ∠W, to the nearest 10th of a degree.
Answer:
16.5°
Step-by-step explanation:
In ΔUVW, w = 9 cm, v = 22 cm and ∠V=136°. Find all possible values of ∠W, to the nearest 10th of a degree.
We solve using Sine rule formula
a/sin A = b/sin B
We are solving for angle W
∠V=136°
Hence:
22 /sin 136 = 9 /sin W
Cross Multiply
22 × sin W = sin 136 × 9
sin W = sin 136 × 9/22
W = arc sin [sin 136 × 9/2.2]
W = 16.50975°
W = 16.5°
Answer:
6) 102
7) 58
NOTE: Supplementary add to 180° and Complementary add to 90°
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You need 1/4 of sugar per cup of flour. So you need 4 cups of flour for every one cup of sugar
