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3 years ago

What is the coefficient of a term that consists of a single variable

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

6 0

The numerical value that comes before the variable or, if none, the coefficient is 1

hope it helps(:

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Find the measure of each acute angle in a right triangle where the measure of one acute angle is 3 times the sum of the measure

expeople1 [14]

Answer:

α = 20.5

β = 69.5

c = 90

Step-by-step explanation:

we have to make 2 equations one for the relationship between the angles and another for the sum of all the angles

β and α are the acute angles

β = 3α + 8

α + β + 90 = 180

we replace in the second equation the value of β by (3α + 8)

α + β + 90 = 180

α + (3α + 8) + 90 = 180

a + 3a = 180 - 90 - 8

4a = 82

a = 82/4

a = 20.5

now we replace the value of b in the other equation

β = 3α + 8

β = 3 * 20.5 + 8

β = 69.5

6 0

2 years ago

Use the inverse function-inverse cofunction

vivado [14]

Answer:

$arccot(x)'=-\frac{1}{1+x^2}$

Step-by-step explanation:

Use implicit differentiation:

$y=arccot(x)$

$cot(y)=x$

$\frac{1}{tan(y)}=x$

$\frac{cos(y)}{sin(y)}=x$

$\frac{dy}{dx}(\frac{cos(y)}{sin(y)})=\frac{dy}{dx}(x)$

$\frac{sin(y)(-sin(y))-cos(y)cos(y)}{sin^2(y)}*\frac{dy}{dx}=1$ (Quotient Rule: $\frac{d}{dx}(\frac{f(x)}{g(x)})=\frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}$ )

$\frac{-sin^2(y)-cos^2(y)}{sin^2(y)}*\frac{dy}{dx}=1$

$\frac{-(sin^2(y)+cos^2(y))}{sin^2(y)}*\frac{dy}{dx}=1$

$\frac{-1}{sin^2(y)}*\frac{dy}{dx}=1$

$-csc^2(y)\frac{dy}{dx}=1$

$\frac{dy}{dx}=\frac{1}{-csc^2(y)}$

$\frac{dy}{dx}=-sin^2(y)$

$\frac{dy}{dx}=-sin^2(arccot(x))$

See the attached picture to understand how to evaluate the mixed composition of trig functions using a right triangle.

Therefore, the derivative of arccot(x) is $-\frac{1}{\sqrt{1+x^2}}$ .

4 0

1 year ago

box contains 15 items,4 of which are defective and 11 are good. Two items are selected. What is probability that the first is go

allsm [11]

The probability of the first item being good is 11/15.
Since we have taken 1 item out the remaining total is now 14, so the probability of getting a defective item is now 4/14.
Now you multiply the probabilities together to get (11/15)(2/7)=22/105

3 0

3 years ago

If f(x)=2x^2+3 then f(x-1)=2x^2+4x+5 true or false

TEA [102]

Hello from Hello from MrBillDoesMath!

Answer:

False.

Discussion:

See attached file for discussion.

Thank you,

MrB