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3 years ago

5

How do we know the angle of 45 degrees is always equal to the square root of 2 over 2?

1 answer:

stellarik [79]3 years ago

8 0

The question is not correct, you mean the the sine and cosine of 45 degrees is always square root 2 over 2.

Well you need to know how the sine and cosine are calculated. I would search in google for "sine and cosine in a unit circle". There is a very good Khan academy video that explains this in 10 minutes. Watch and learn :-)

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Which ordered pairs are solutions to the inequality y−4x≥−5

Crank

You have to do substitution in both sides e) (-4,2)

3 0

3 years ago

A map has a scale of 1 cm : 20 km. Two cities are 2.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actu

Pachacha [2.7K]

50 Km

1 cm → 20 Km

2.5 cm → 20 × 2.5 = 50 Km

6 0

3 years ago

An article presents voltage measurements for a sample of 66 industrial networks in Estonia. Assume the rated voltage for these n

kramer

Answer:

We accept the null hypothesis and conclude that voltage for these networks is 232 V.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 232 V

Sample mean, $\bar{x}$ = 231.5 V

Sample size, n = 66

Sample standard deviation, s = 2.19 V

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 232\\H_A: \mu \neq 232$

We use Two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n-1}} }$ Putting all the values, we have

$t_{stat} = \displaystyle\frac{231.5- 232}{\frac{2.19}{\sqrt{66}} } = -1.8548$

Now,

$t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = \pm 1.9971$

Since,

$|t_{stat}| > |t_{critical}|$

We accept the null hypothesis and conclude that voltage for these networks is 232 V.

4 0

3 years ago

4x + y for x = 2.8 and y = 5

GrogVix [38]

Answer:

16.2

Step-by-step explanation:

4*2.8+5=

4 0

3 years ago

Read 2 more answers

Thomas bought 80 tickets for rides at a amusement park. Each ride cost 5 tickets, and Thomas has been on x rides so far. Select

Inessa05 [86]

Answer:

Step-by-step explanation:

80-5x

6 0

3 years ago