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3 years ago

Please please help me

Mathematics

1 answer:

Anarel [89]3 years ago

8 0

so you are going to use the Pythagorean theorem on the smaller triangle to find the connecting side's length

${5}^{2} = {3}^{2} ( {b}^{2} ) \\ b = 4$

now you can find the bigger triangle's hypotenuse

${6}^{2} + {4}^{2} = {c}^{2} \\$

c=4

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Cos x cos (-x) -sin x sin (-x) = 1. Verify the Identity. Please Show All Steps.

umka21 [38]

Answer:

cos x cos (-x) -sin x sin (-x) = 1 ⇒ proved down

Step-by-step explanation:

* Lets revise the angles in the four quadrants

- If angle x is in the first quadrant, then the equivalent angles to it are

# 180 - x ⇒ second quadrant (sin (180 - x) = sin x , cos (180 - x) = -cos x

tan (180 - x) = -tan x)

# 180 + x ⇒ third quadrant (sin (180 - x) = -sin x , cos (180 - x) = -cos x

tan (180 - x) = tan x)

# 360 - x ⇒ fourth quadrant (sin (180 - x) = -sin x , cos (180 - x) = cos x

tan (180 - x) = -tan x)

# -x ⇒fourth quadrant (sin (- x) = -sin x , cos (- x) = cos x

tan (- x) = -tan x)

* Lets solve the problem

∵ L. H .S is ⇒ cos x cos (-x) - sin (x) sin (-x)

- From the rules above cos x = cos(-x)

∴ cos x cos (-x) = cos x cos x

∴ cos x cos (-x) = cos² x

- From the rule above sin (-x) = - sin x

∴ sin x sin (-x) = sin x [- sin x]

∴ sin x sin (-x) = - sin² x

∴ cos x cos (-x) - sin (x) sin (-x) = cos² x - (- sin² x)

∴ cos x cos (-x) - sin (x) sin (-x) = cos² x + sin² x

∵ cos² x + sin² x = 1

∴ R.H.S = 1

∴ L.H.S = R.H.S

∴ cos x cos (-x) -sin x sin (-x) = 1

8 0

3 years ago

The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This dist

alexira [117]

<h3>Answer: 83.85%</h3>

This value is approximate.

==========================================================

Explanation:

Let's compute the z score for x = 40

z = (x-mu)/sigma

z = (40-47)/7

z = -1

We're exactly one standard deviation below the mean.

Repeat these steps for x = 68

z = (x-mu)/sigma

z = (68-47)/7

z = 3

This score is exactly three standard deviations above the mean.

Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.

34+34+13.5+2.35 = 83.85

<u>Roughly 83.85%</u> of the one-mile roadways have between 40 and 68 potholes.

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2 years ago

The weather man announced that there was a temperature drop Of 8 degrees from yesterday to today. How would this be represented

uysha [10]

that will be not so shore of what will you think but if you used a thermometer and you see how it will change

8 0

3 years ago

Is (2,0) a solution to y<2x+4?

Tema [17]

Yes, (2,0) is a solution to y<2x+4

4 0

3 years ago

the surface area of the rectangular prism is given by formula S=2 (ab+bh+ah) find the value of h when a = 10, b=6 and s=440

lorasvet [3.4K]

Answer:

Step-by-step explanation:

440=2(60+6x+10x)

220=60+16x

160=16x

x=10

h=10

8 0

2 years ago