Over which interval on the x-axis is there a negative

What is the arc length when Θ = 4 pi over 7 and the radius is 5 cm?

xxTIMURxx [149]

$\bf \textit{arc's length}\\\\
s=r\theta \qquad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
r=5\\
\theta =\frac{4\pi }{7}
\end{cases}\implies s=5\cdot \cfrac{4\pi }{7}$

8 0

2 years ago

Write as an expression and simplify:

Bad White [126]

Answer:

(a) The product of the sum of a and b and their difference.

$(a+b)\times{(a-b)}\\=a^2-b^2$

(b) The tripled product of 6a and b².

$3(6a\times{b^2})\\=3(6ab^2)\\=18ab^2$

(c) The difference of the squares of 2m and 7n.

$(2m)^2-(7n)^2\\=4m^2-49n^2$

5 0

2 years ago

Can somebody please help me with this math question please

kondaur [170]

Answer:

Step-by-step explanation:

isosceles triangles are ones that have two equal sides and angles. this would mean that ab is equal to bc. then you substitute the values in for AB=BC, 3x-4=5x-10. you bring the variables to one side and you flip everything which is then 2x=6 and then divide by 2. this would be x=3. then you have to figure out the AB. 3(3)-4=5. then you can always check for BC, 5(3)-10=5. and they are equal! hope i helped!

4 0

2 years ago

can someone explain to me how you figure out if a triangle is obtuse, acute or a right angle? i will give 20 points

dezoksy [38]

Answer:

Right angle is 90 degrees, belowe 90 degrees is acute, and above 90 degrees is obtuse

Step-by-step explanation:

Right angle = 90degrees

Acute angle = <90degrees

Obtuse angle = >90degrees

5 0

2 years ago

Read 2 more answers

Find the exact values of cos 3 pi/4 radians sin 3 pi/4 radians.

Liula [17]

If you consult the unit circle, you will see that:

$cos(\frac{3\pi}{4}) = -\frac{\sqrt{2}}{2}\\\\sin(\frac{3\pi}{4}) = \frac{\sqrt{2}}{2}$

3pi/4 in degrees is 3pi/4 * 180/pi = 3/4 * 180 = 135 degrees. And please refer to the attachment to how you can obtain the values above.

Now, lets multiply it together.

$-\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2} =\\\\-\frac{2}{4} =\\\\ \boxed{\bf{-\frac{1}{2}}}$

So, <span>cos(3pi/4)sin(3pi/4) = -1/2</span>

7 0

2 years ago