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1 year ago

Point D is the incenter of triangle BCA. If m∠FDG = 128°, what is the measure of ∠FHG?

Mathematics

1 answer:

ANEK [815]1 year ago

5 0

Answer:

Step-by-step explanation:

I found the answer to the question online by searching up what you wrote. Apologies if it is wrong but that's my guess.

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find the range of the function f(x) = 4x - 1 for the domain {-1, 0, 1, 2, 3}. {-5, -3, 0, 7, 11} {-5, -4, -3, -2, -1} {-11, -7,

Papessa [141]

Range = {4(-1) - 1, 4(0) - 1, 4(1) - 1, 4(2) - 1, 4(3) - 1} = {-4 - 1, 0 - 1, 4 - 1, 8 - 1, 12 - 1} = {-5, -1, 3, 7, 11}

5 0

2 years ago

Solve the equation for all real values of x. cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

Step-by-step explanation:

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

2 years ago

A coach for a sport picks the initial lineup of seven out of eleven players for a game. The first two are always numbers seven a

Cerrena [4.2K]

Answer:

add 11 and 7 togive you 18 and it is over 2.therefore the answer is 1/9

3 0

2 years ago

Plz, help!!!! :[ I don't know the answer look at the pic

otez555 [7]

Answer:

174 in²

Step-by-step explanation:

(A1)= 9(5)= 45 in²

(A2)= 3(5)=15 in²

(A3)= 3(5)=15 in²

(A4)= 9(3)= 27 in²

(A5)= 9(5)= 45 in²

(A6)= 9(3)= 27 in²

(totalA)= 45+15+15+27+45+27= 174 in²

6 0

2 years ago

When 1480 is divided into 12 equal parts, the remainder is 4. What is a correct way to write the quotient? (3 points)

In-s [12.5K]

Answer:

Depending on what type of math class you are in, or how your teacher taught it, it could be either 12 R:4 or 12 + 1/370.

Step-by-step explanation:

Remainders can be written in two ways, R: [remainder] or the whole number quotient + [remainder number]/[dividend]. For this problem you would have to simplify 4/1480 to 1/370 because 1480/4 equals 370. So, your final answer would be 12 + 1/370 or 12 R:4.

3 0

3 years ago