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4 years ago

How are the two angles related 60 120

Mathematics

1 answer:

MatroZZZ [7]4 years ago

3 0

The sum of the 2 angles is 60°+120° = 180°

Then the 2 angles are supplentary

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A parabola is given by the equation y = x^2 + 4x + 4.

insens350 [35]

Y = x² + 4x + 4.. Since the coefficient of x² =1, is positive, then this parabola opens upward & has a minimum.

Its axis of symmetry is = -b/a = -4/1 = 4 (so x=4)

1) When x=4, y= 4²+4(4)+4 => y=36 so the VERTEX has a minimum is at (4,36)

2)FOCUS.: To be able to calculate the focus, rewrite the equation in a standard form: y-k =a(x-h)² & y = x² + 4x + 4 could be written y=(x+2)², this means that k=0 & h=-2.
Now p being the distance between the VERTEX & the FOCUS, we apply the formula (x-2)² = 4P (y-k) , but k=0 & h=2 then (x-2)² = 4P(y-0) then P =1/4

3) DRECTRICE : y=k-P = 0-1/4 ==> y=-1/4 is the directrix

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3 years ago

The perimeter of a square ground is 147.2m. Find it's length.<br><br>Please help me find the length

nikklg [1K]

Answer:

l= p/4..because p=4l

so l= 36.8

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3 years ago

What is the area of the triangle shown below?

bearhunter [10]

Answer:

Step-by-step explanation:

5 0

3 years ago

The museum admission is $14 and a student is 10$ how much will it cost for one class

Dmitriy789 [7]

Well how many students are there in the class??<span />

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3 years ago

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. 27% of the possible Z values are grea

inessss [21]

Answer:

27% of the possible Z values are greater than 0.613

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 0, \sigma = 1$

27% of the possible Z values are greater than

The 100 - 27 = 73rd percentile, which is X when Z has a pvalue of 0.73. So X when the z-score is 0.613.

$Z = \frac{X - \mu}{\sigma}$

$0.613 = \frac{X - 0}{1}$

$X = 0.613$

27% of the possible Z values are greater than 0.613

6 0

3 years ago