All categories

3 years ago

Instructions: Find the Measure of the indicated angle to the nearest degree.

Mathematics

1 answer:

motikmotik3 years ago

7 0

Answer:

? = 35

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan ? = opp /adj

tan ? = 33/48

Take the inverse tan of each side

tan ^ -1 ( tan ? ) = tan ^ -1 ( 33/48)

? =34.50852299

? = 35

You might be interested in

Raul's pet store has a play area that can fit up to 30 cats and dogs. His son is allergic to cats so the pet store never has mor

a_sh-v [17]

Answer:

Step-by-step explanation:

Let :

C = number of cats

D = number of dogs

Raul's pet store has a play area that can fit up to 30 cats and dogs.

C + D = 30

The pet store never has more than 8 cats in the play areas.

(there can never be 9 or more cats)

As or the number of dogs :

C + D = 30

C = 30 - D

Since we know that C < 9. To get the number of dogs allowed, we just plug in 30 - D for C.

30 - D < 9

30 - 9 < D

(dogs have to be 22 or more)

5 0

2 years ago

Help please with this question.

alexandr1967 [171]

Answer:

the classmate is incorrect

Step-by-step explanation:

when you do the math for both inequalities they are equal to each other, despite the fact that one has multiplication and the other has addition.

7 0

3 years ago

Read Fred's conclusion. If the sum of the digits of a number is a multiple of 3. then the number is a multiple of 6. Which state

kolezko [41]

Answer:

the answer would be a because 42÷6=7 and 42÷3=14.

7 0

3 years ago

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

-Dominant- [34]

Answer:

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

Domain: All Real Numbers

General Formulas and Concepts:

<u>Algebra I</u>

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

<u>Calculus</u>

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:

<u>Step 1: Define</u>

f(x) = ln(2x² + 1)

<u>Step 2: Differentiate</u>

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

<u>Step 3: Domain</u>

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.