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3 years ago

Please can anyone help me with this question? I'm really struggling with it

Mathematics

1 answer:

xenn [34]3 years ago

7 0

Answer:

83.9°

Step-by-step explanation:

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

a= 13 cm

a2= 169cm

b= 4cm

b2=16 cm

a2+b2= 185cm (c2)

c=13.6cm

after wards use the law of cosines and c= 83.9°

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Slope intercept of 3x-2y=-16

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2 years ago

Burger King sells burgers for $3.50 per burger. On Fridays, you can buy 2 burgers and get 1 free. They sold 500 burgers in 1 wee

faust18 [17]

Answer:

More information is needed, maximum weekly profit is $1750.

Step-by-step explanation:

The maximum profit would assume Burger King does not sell any burgers on Friday, therefore all 500 burgers were sold at $3.50. 500*$3.50 = $1750 in maximum earnings for the week. More information is needed about the split between the burgers sold over the week.

Maybe the question was trying to say 500 burgers were sold on Friday. In that case, assuming every customer got three burgers, 500/3 = 166.6 customers, rounding down because you cannot have half a customer, 166 customers on Friday. Each customer paid for two burgers 166*2*$3.50 = $1162 in earnings on Friday.

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2 years ago

If there is 37 cars and 10 are speeding, what percentage of cars is speeding?

Helen [10]

27.03% is your answer

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2 years ago

(–9) • (8) – (9) • (–9)

elena-s [515]

Answer:

Step-by-step explanation:

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3 years ago

Find f'(x) and state the domain of f': f(x) = In (2x^2+1)

-Dominant- [34]

Answer:

$f'(x) = \frac{4x}{2x^2+1}$

Domain: All Real Numbers

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

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

Derivative: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

f(x) = ln(2x² + 1)

Step 2: Differentiate

Derivative ln(u) [Chain Rule/Basic Power]: $f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}$
Simplify: $f'(x) = \frac{1}{2x^2+1} \cdot 4x$
Multiply: $f'(x) = \frac{4x}{2x^2+1}$

Step 3: Domain

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

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2 years ago