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2 years ago

Find the angles fora=?b=?c=?

Mathematics

1 answer:

elena55 [62]2 years ago

4 0

53+44=97
180-97=83
C=83 degrees
b=180-83
b is 97 degree
180 because straight line btw
28+97=125
180-125=55
a=55 degrees
Angles in triangle add up to 180 degree s

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The spray from a spinning lawn sprinkler creates a circle with a radius of 50 feet.

grandymaker [24]

A because it can’t be 100 and it can’t be 625 and it can’t be 50 so it has to be A

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2 years ago

A sequence is represented by the formula an=-5+a(n-1). If a4 = 20, what is the 6th term in the sequence?

Citrus2011 [14]

Answer:

10

Step-by-step explanation:

Formula :

aₙ = -5 + aₙ₋₁

Finding a₅ :

a₅ = -5 + a₄
a₅ = -5 + 20
a₅ = 15

Finding a₆ :

a₆ = -5 + a₅
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a₆ = 10

4 0

1 year ago

<img src="https://tex.z-dn.net/?f=%5Clim_%7Bx%5Cto%20%5C%200%7D%20%5Cfrac%7B%5Csqrt%7Bcos2x%7D-%5Csqrt%5B3%5D%7Bcos3x%7D%20%7D%7

salantis [7]

Answer:

$\displaystyle \lim_{x \to 0} \frac{\sqrt{cos(2x)} - \sqrt[3]{cos(3x)}}{sin(x^2)} = \frac{1}{2}$

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

L'Hopital's Rule

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

We are given the limit:

$\displaystyle \lim_{x \to 0} \frac{\sqrt{cos(2x)} - \sqrt[3]{cos(3x)}}{sin(x^2)}$

When we directly plug in x = 0, we see that we would have an indeterminate form:

$\displaystyle \lim_{x \to 0} \frac{\sqrt{cos(2x)} - \sqrt[3]{cos(3x)}}{sin(x^2)} = \frac{0}{0}$

This tells us we need to use L'Hoptial's Rule. Let's differentiate the limit:

$\displaystyle \lim_{x \to 0} \frac{\sqrt{cos(2x)} - \sqrt[3]{cos(3x)}}{sin(x^2)} = \displaystyle \lim_{x \to 0} \frac{\frac{-sin(2x)}{\sqrt{cos(2x)}} + \frac{sin(3x)}{[cos(3x)]^{\frac{2}{3}}}}{2xcos(x^2)}$

Plugging in x = 0 again, we would get:

$\displaystyle \lim_{x \to 0} \frac{\frac{-sin(2x)}{\sqrt{cos(2x)}} + \frac{sin(3x)}{[cos(3x)]^{\frac{2}{3}}}}{2xcos(x^2)} = \frac{0}{0}$

Since we reached another indeterminate form, let's apply L'Hoptial's Rule again:

$\displaystyle \lim_{x \to 0} \frac{\frac{-sin(2x)}{\sqrt{cos(2x)}} + \frac{sin(3x)}{[cos(3x)]^{\frac{2}{3}}}}{2xcos(x^2)} = \lim_{x \to 0} \frac{\frac{-[cos^2(2x) + 1]}{[cos(2x)]^{\frac{2}{3}}} + \frac{cos^2(3x) + 2}{[cos(3x)]^{\frac{5}{3}}}}{2cos(x^2) - 4x^2sin(x^2)}$

Substitute in x = 0 once more:

$\displaystyle \lim_{x \to 0} \frac{\frac{-[cos^2(2x) + 1]}{[cos(2x)]^{\frac{2}{3}}} + \frac{cos^2(3x) + 2}{[cos(3x)]^{\frac{5}{3}}}}{2cos(x^2) - 4x^2sin(x^2)} = \frac{1}{2}$

And we have our final answer.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

6 0

2 years ago

48% of 8? 3% of 119? 26% of 280?

OLga [1]

X% of y
x%=x/100
'of' means multiply
x% of y=x/100 times y so

48% of 8=48/100 times 8=384/100=3.84

3% of 119=3/100 times 119=357/100=3.57

26% of 280=26/100 times 280=7280/100=72.8

8 0

3 years ago

Evaluate the expression 3(2x - 8) /7x when x= -3

sineoko [7]

Answer:

Step-by-step explanation:

..............

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2 years ago

Find the angles fora=?b=?c=?​

Find the angles fora=?b=?c=?