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4 years ago

D/dx (5x4) - (2x³) - (x²)

Mathematics

1 answer:

My name is Ann [436]4 years ago

5 0

$\bf y=5x^4-2x^3-x^2\implies \cfrac{dy}{dx}=20x^3-6x^2-2$

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part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.

Nat2105 [25]

Answer: $\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}$

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse

$9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}$

Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12

$10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}$

Note: 12² + opposite² = 20² → opposite = 16

$11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: adjacent² + 5² = 6² → adjacent = √11

$12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}$

Note: adjacent² + 7² = (13√2)² → adjacent = 17

5 0

3 years ago

Hawick is 15 miles south of Abbotsford, and Kelso is 17 miles east of Abbotsford.

vazorg [7]

You are gonna use a^2 + b^2 = c^2 because the cities make a right triangle and you are trying to find the hypotenuse (c). C^2 ends up being 517 and the square root, your answer, is 22.7 miles

6 0

3 years ago

Read 2 more answers

A local technical school has 856 students. They expect 700 guests for a special speaker. The custodian has set up 1,500 chairs.

Delicious77 [7]

Answer:

56 chairs

Step-by-step explanation:

856+700=1556 <--- expected count

chairs set up= 1500

1556-1500= 56 more chairs

4 0

3 years ago

Read 2 more answers

(5x-1) -(2-8x) for x = 0.75

Eva8 [605]

6.75 is the answer to your question

4 0

2 years ago

My teacher didn’t really teach this and um how do I do this

Lorico [155]

Answer:

Step-by-step explanation:

1. 3.8 x 10^5 + 5.5 x 10^5 = 930,000 or 9.3 x 10^5

You just have to solve the equation and shorten the answer. For number one the answer is 930,000, so you have to make it into a number with decimals since a scientific notation number can not be equal to 10 or be greater. So you have to round the number to 9.3 not 93. To "round" it to 9.3 you have to move the decimal at the end of 930,000 to be in between the numbers 9 and 3. How many times you move the decimal to the left or right, that is the exponent of 10. So for 930,000 you moved the decimal 5 times to the left so the exponent for 10 is positive 5.

6 0

3 years ago