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RoseWind [281]
4 years ago
10

Circle A has a radius of 6 cm and arcs RC, CS, and SM are congruent.

Mathematics
1 answer:
algol [13]4 years ago
4 0
Given that the 3 arcs are congruent, it means they have the same angle.
A circle measures 360 degrees, thus, let us divide it into three parts to get the arc length of the 3 arcs RC, CS, and SM which is in Circle A.
360 degrees / 3 = 120 degrees
Again, the three arcs are congruent so the length of arc RC is 120 degrees,  same with arcs CS and SM.
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Complete the table by writing the fraction as a decimal and as a percent
aniked [119]

Answer:

Decimal = 0.6

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Step-by-step explanation:

Let's simplify the fraction.

\frac{120}{200}  =  \frac{60}{100}  = 0.6

Hence the Decimal is 0.6

To express 120/200 in percentage , we have to multiply the fraction with 100.

\frac{120}{200}  \times 100 =  \frac{120}{2}  = 60\%

Hence the percentage value is 60%

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Find the unit vector in the direction of u = (-3,2).
DENIUS [597]
\bf \textit{unit vector for }(a,b)\implies \left( \cfrac{a}{\sqrt{a^2+b^2}}~~,~~\cfrac{b}{\sqrt{a^2+b^2}} \right)\\\\
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(-3,2)\qquad \stackrel{unit~vector}{\implies }\qquad \left( \cfrac{-3}{\sqrt{(-3)^2+2^2}}~~,~~\cfrac{2}{\sqrt{(-3)^2+2^2}} \right)
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\left( -\cfrac{3}{\sqrt{13}}~~,~~ \cfrac{2}{\sqrt{13}}\right)\\\\
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\bf \textit{and now let's \underline{rationalize} the denominator for each}
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-\cfrac{3}{\sqrt{13}}\cdot \cfrac{\sqrt{13}}{\sqrt{13}}\implies -\cfrac{3\sqrt{13}}{13} \qquad \qquad \qquad \qquad  \cfrac{2}{\sqrt{13}}\cdot \cfrac{\sqrt{13}}{\sqrt{13}}\implies \cfrac{2\sqrt{13}}{13}
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\textit{and written in \underline{ai+bj form}}\qquad -\cfrac{3\sqrt{13}}{13}i~~~~+~~~~\cfrac{2\sqrt{13}}{13}j
7 0
3 years ago
Which evidence from the text best supports the idea that women astronauts are not unusual anymore?
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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please answer asap if u know the answer!!!! completing a square. thank you!!!!
Tema [17]

Answer:

D

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form using the method of completing the square.

Given

f(x) = 3x² - 24x + 10

We require the coefficient of the x² term to be 1 , thus factor out 3

3(x² - 8x) + 10

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

= 3(x² + 2(- 4)x + 16 - 16) + 10

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= 3(x - 4)² - 48 + 10

= 3(x - 4)² - 38, thus

f(x) = 3(x - 4)² - 38 ← in vertex form

3 0
4 years ago
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