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3 years ago

Let vector u = (a, b) and vector v = (c, d). If the vectors are located as shown in the graph, then

Mathematics

1 answer:

AlekseyPX3 years ago

6 0

We have the following vectors:
u = (a, b)
v = (c, d)
We observe that the vectors form an angle of 90 degrees.
Therefore, the product u.v is equal to zero.
We have then:
u.v = (a, b). (c, d) = 0
u.v = ac + bd = 0
ac = -bd
Answer:
B) ac = -bd

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Determine whether the pair of triangles below are similar. If they are similar, write the similarity criterion that can be used

Ugo [173]

Answer:

Cannot be determined

Step-by-step explanation:

The information given for the triangles are not enough to evaluate them for similarity. How ever they are both equilateral triangles given the angle measures.

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3 years ago

Help math beats me up in dark alleys

andriy [413]

Replace x with 3:

f(x) = 20(0.5)^x

f(3) = 20(0.5)^3

First do 0.5^3 = 0.125

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20 x 0.125 = 2.5

f(3) = 2.5

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3 years ago

41 out of 120 people chose their favourite fruit as bananas. Calculate the angle you would use for bananas on a pie chart

Sergio039 [100]

41/120= 0.3416
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3 years ago

Read 2 more answers

Y = f(x) = -1<br> Find f(x) v/hen x = 3.

-Dominant- [34]

Answer:

f(x) is equal to -1 when x=3

Step-by-step explanation:

we have

$y=f(x)=-1$

This is a constant function

we know that

A <u>constant function</u> is a function whose output value is the same for every input value

therefore

when x=3 (input value)

The value of the function is y=-1 (output value)

6 0

3 years ago

Suppose medical records indicate that

Kay [80]

Answer:

Step-by-step explanation:

Let x be the random variable representing the the length of newborn babies (in inches). Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 20 inches

σ = 2.6 inches

the probability that a given infant is between 14.8 and 25.2 inches long is expressed as

P(14.8 ≤ x ≤ 25.2)

For x = 14.8,

z = (14.8 - 20)/2.6 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 25.2

z = (25.2 - 20)/2.6 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(14.8 ≤ x ≤ 25.2) = 0.98 - 0.23 = 0.75

3 0

3 years ago