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2 years ago

Verify that (sinx -cosx)^2=1-2sin(x)cos(x)

Mathematics

2 answers:

Artist 52 [7]2 years ago

6 0

Answer:

See below.

Step-by-step explanation:

Left side = (sinx -cosx)^2 = sin^2 x + cos^2x - 2sinx cosx

Now sin^2 x + cos^2 x = 1 so we have:

1 - 2 sinx cosx = right side.

Nataly_w [17]2 years ago

5 0

<h3>(sinx - cosx)^2 = (sinx)^2 + (cosx)^2 - 2sinxcosx = 1-2sinxcosx</h3>

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Nate is 4 years older than 2 times his brother’s age. Write a rule that represents Nate’s age “n” as a function of his brother’s

IRINA_888 [86]

Answer:

n = 2b + 4

Step-by-step explanation:

4 years older = +4

2 times his brother = 2b

n= 2b+4

6 0

2 years ago

The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 mont

navik [9.2K]

Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the parameters are given as follows:

$\mu = 48, \sigma = 8, Z = -3$ .

Hence:

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

$-3 = \frac{X - 48}{8}$

X - 48 = -24

X = 24.

The life span of an appliance that has a z-score of –3 is of 24 months.

More can be learned about the normal distribution at brainly.com/question/24663213

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6 0

1 year ago

7 ∙ 15 can be written as _____. 5(7 + 10) 10(7 + 5) 7(10 + 5)

Bogdan [553]

Both side multiply by one number.

8 0

2 years ago

Read 2 more answers

Kevin sold 2 unicycles and 1 bicycle for a total of $110. Greg sold 4 unicycles and 3 bicycles for a total cost of $268. What is

RSB [31]

Simultaneous Equations

2u + b = $110
4u + 3b = $268

(x2) 4u + 2b = $220
(x1) 4u + 3b = $268

If both the matching coefficients are the same, we subtract equation 2 from equation 1

2b - 3b = -b
$220 - $268 = $-48
-b = -$48
b = $48

If you want to find out what a unicycle costs...
Substitute b = $48 into the first equation
2u + $48 = $110
Balance the equation, whatever happens on one side, happens on the other.
2u + $48 (-$48) = $110 (-$48)
2u = $62
2u(/2) = $62(/2)
u = $31

4 0

2 years ago

Question 21 on this pictured math sheet please. Have a great day!

Yuki888 [10]

Answer:

Step-by-step explanation:

$f(x) = 2x - 1.....(1) \\ g(x) = 3x + 5....(2) \\ plug \: x = 5 \: in \: (2) \\ g(5) = 3 \times 5 + 5 = 15 + 5 = 20 \\ \therefore \: f(g(5)) = 2 \times 20 - 1 = 40 - 1 = 39 \\ \\ \huge \red{ \boxed{\therefore \: f(g(5)) =39}}$

7 0

2 years ago