I just answered this question. Here's my answer
Given:
Perimeter of KLMN = 42
h1 = 5
h2 = 6
Based on the given figure here are my assumptions.
1) KLMN is a parallelogram
2) h1 and h2 are long legs of right triangles.
3) the right triangles are similar but not congruent.
Perimeter of a parallelogram = 2(a+b)
a = KL ; b = LM
Area of a parallelogram = bh
b = LM ; h = h1
We need to find the values of a and b to solve for the Area of KLMN.
LM and KL are hypotenuse of its own right triangle. Similar triangle means that their proportion are equal.
P = 2(a+b)
42 = 2(a+b) → 42/2 = a+b → 21 = a + b → 21 - a = b
hypotenuse/long leg
a/5 = b/6 → a/5 = (21-a)/6 → a*6 = 5(21-a) → 6a = 105 - 5a
6a + 5a = 105 → 11a = 105 → a = 105/11 → a = 9.55
b = 21 - a → b = 21 - 9.55 → b = 11.45
Area of parallelogram = bh
A = 11.45 * 5
<span>A = 57.25 square units.</span>
Answer:
288 m^3
Step-by-step explanation:
V=(1/3)Bh, where B is base, and h is height
The base will use the equation A=(1/2)bh
B = (1/2)12x9
B = 54
the height is given: 16m
substitute into Volume equation:
V=(1/3)54x16
V=288
Be
P = (21, 12)
Q = (19, -8).
The vector u will be given by
u = PQ = Q-P = (19, -8) - (21, 12) = (- 2, -20)
The magnitude of this vector is
u = ROOT ((2 ^ 2) + (20 ^ 2)) = 20.1
Therefore, the vector v as it is in the opposite sense to u will be given by
v = 0.4i + 4j.
Its magnitude is
v = Root((0.4^2)+(4^2))=4.02
Dividing both magnitudes it is verified that the magnitude of u is five times greater than that of v
20.1 / 4.02 = 5.
Finally, the correct answer is
v = 0.4i + 4j
6*10^10 would equal 60000000000 and 3*10^6 would equal 3000000
hope this helps
It can be deduced that the probability of having 4 or more correct guesses will be 0.0296.
<h3>How to calculate the probability</h3>
From the given information, the null hypothesis is p = 1/7 and the alternate hypothesis is p>1/7. In this case, the mind reader gets a 4 out of 9 chances.
In order to test the hypothesis, simulations for 10000 cases were run with a probability of the correct answer being 1/7.
In this case, the p-value is the probability of correct answers that are greater than 4, assuming the null hypothesis is true. Here the p-value is 0.0296.
Also, the significance level to reject the hypothesis is less than 0.01. Since p > 0.01, we then fail to reject the hypothesis. Therefore the null hypothesis stands and Joao is not a mind reader.
Learn more about probability on:
brainly.com/question/24756209