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4 years ago

Please answer this question now

Mathematics

1 answer:

inn [45]4 years ago

6 0

Answer:

t = 17.3

Step-by-step explanation:

The following data were obtained from the question:

Angle T = 87°

Opposite T = t =?

Opposite V = v = 14

Opposite U = u = 11

The value of t can be obtained by using cosine rule formula as shown below:

t² = v² + u² – 2vu CosT

t² = 14² + 11² – 2 × 14 × 11 × Cos87°

t² = 196 + 121 – 308 × Cos87°

t² = 317 – 16.119

t² = 300.881

Take the square root of both side

t = √300.881

t = 17.3

Therefore, the value of t is 17.3

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4 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.

marissa [1.9K]

<u>Question Completion</u>

(b) Use the possibility diagram to calculate the probability that the product of the two numbers is

I) A prime number

ii) Not a perfect square

iii) A multiple of 5

iv) Less than or equal to 21

v) Divisible by 4 or 6

Answer:

I) 0.125 (ii)0.828125 (iii)0.234375 (iv) 0.625 (v)0.65625

Step-by-step explanation:

The sample space for an 8-sided fair die rolled twice is:

$[(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)]\\$

(a) The possibility diagram of the product of the two numbers appearing on the die in each throw

$1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64$

(b)

I) A prime number

Number of Products which are prime numbers = 8

$P$(Product is a prime number)=\dfrac{8}{64}= \dfrac{1}{8}\\=0.125$

ii) Not a perfect square

Number of products which are perfect squares =11

$P$(Product is Not a perfect square)=\dfrac{64-11}{64}= \dfrac{53}{64}\\=0.828125$

iii) A multiple of 5

Number of Products that are multiples of 5=15

$P$(A multiple of 5)=\dfrac{15}{64}\\=0.234375$

iv) Less than or equal to 21

Number of products less than or equal to 21=40

$P$(Less than or equal to 21)=\dfrac{40}{64}=\dfrac{5}{8}\\=0.625$

v) Divisible by 4 or 6

Products Divisible by 4 or 6= 42

$P$(Divisible by 4 or 6)=\dfrac{42}{64}=\dfrac{21}{32}\\=0.65625$

5 0

4 years ago

When Adrian commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 24 minutes and a

Annette [7]

Answer:

(13.5, 34.5)

Step-by-step explanation:

The empirical rule states that for a normal distribution, the data will fall within three standard deviations of the mean. 68% of the data falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

Given that mean (µ) = 24 and standard deviation (σ) = 3.5

Using empirical rule, the interval that represents the middle 99.7% = (µ ± 3σ) = (24 ± 3*3.5) = (13.5, 34.5)

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3 years ago

The diagonal of kite Kite intersect at . p if mZkip =46 and mZkep =34 , find IKT.

natima [27]

Someone already had this question and I had answered it here's my answer.
It would be 44 degrees because you are given the measure of KIP. Also all the angles at point p are equal to 90 degrees. You are looking for the measure of K in angle IKT (the letter in the middle is always the measure of the angle).KIP: K=? I= 46 P=90 K= 180-(46+90) K=44

3 0

3 years ago