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3 years ago

9

I NEED HELP PLEASE ! :)

1 answer:

defon3 years ago

7 0

A theorem called "inscribed angle theorem," states that angle θ is half of that of angle 2θ that subtends an identical arc on the circle.

So, ∠ABC = center angle * 1/2

The center angle is 192°, so substitute with that number and solve.

∠ABC = 192 * 1/2

∠ABC = 96°

Therefore, the answer is 96°

Best of Luck!

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Show that f(x) f(y) - f(x+y), where f(x)= [cos x - sin x o] [sin x cos x o] [o o 1]

Naddik [55]

Answer:

The answer is below

Step-by-step explanation:

Show that f(x) f(y) = f(x+y)

From trigonometric:

sin(x + y) = sinxcosy + cosxsiny

sin(x - y) = sinxcosy - cosxsiny

cos(x + y) = cosxcosy - sinxsiny

cos(x - y) = cosxcosy + sinxsiny

$f(x)=\left[\begin{array}{ccc}cosx&-sinx&0\\sinx&cosx&0\\0&0&1\end{array}\right] ,f(y)=\left[\begin{array}{ccc}cosy&-siny&0\\siny&cosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cosxcosy-sinxsiny&-cosxsiny-sinxcosy&0\\sinxcosy+cosxsiny&-sinxsiny+cosxcosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\$

$f(x+y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\Therefore\ f(x)f(y)=f(x+y)$

4 0

2 years ago

I really need help asap!!

Firdavs [7]

Given:

A figure of a parallelogram.

The vertex angles are $(12b+8)^\circ,(5b+2)^\circ,2a^\circ$ .

To find:

The values of a and b.

Solution:

We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.

$(12b+8)^\circ+(5b+2)^\circ=180^\circ$ (Supplementary angles)

$(17b+10)^\circ=180^\circ$

$17b+10=180$

Subtract 10 from both sides.

$17b=180-10$

$17b=170$

Divide both sides by 17.

$b=\dfrac{170}{17}$

$b=10$

Now,

$(5b+2)^\circ=(5(10)+2)^\circ$

$(5b+2)^\circ=(50+2)^\circ$

$(5b+2)^\circ=52^\circ$

And,

$(5b+2)^\circ+2a^\circ=180^\circ$ (Supplementary angles)

$52^\circ+2a^\circ=180^\circ$

$2a^\circ=180^\circ-52^\circ$

$2a^\circ=128^\circ$

Divide both sides by 2.

$a^\circ=\dfrac{128^\circ}{2}$

$a^\circ=64^\circ$

$a=64$

Therefore, the value of a is 64 and the value of b is 10.

5 0

3 years ago

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Svetradugi [14.3K]

Answer:

176=12

Step-by-step explanation:

8 0

2 years ago

Select an expression that is equivalent to <img src="https://tex.z-dn.net/?f=4%5Csqrt%7Bx%5Cfrac%7B2%7D%7B3%7D%20%7D" id="TexFor

qwelly [4]

Maybe A I’m not one hundred percent sure but good luck

7 0

3 years ago

Read 2 more answers

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Maru [420]

Answer:

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Step-by-step explanation:

150/185 = 30/37 ≈ 0.81 (rounded to the nearest hundredth)

0.81 is 81%

7 0

1 year ago