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2 years ago

14

The radius of the larger circle is 5m. The radius of the smaller circle is 2.5m. What’s the approximate area of the shaded regio

n of the larger circle?

1 answer:

viktelen [127]2 years ago

5 0

Answer: C

Step-by-step explanation:

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Find the value of i77.<br> A) 1 <br> B) i <br> C) −1 <br> D) −i

Colt1911 [192]

assuming you mean $i^{77}$ where $i=\sqrt{-1}$

ok, notice a pattern in the exponent

$i^1=i=\sqrt{-1}$

$i^2=-1$

$i^3=-\sqrt{-1}=-i$

$i^4=1$

$i^5=i=\sqrt{-1}$

hum, so it goes 1,2,3,4, then repeats

ok, so every 4, the cycle repeats

how far up is 77 from a multipule of 4?

4*19=76

76 is 1 away from 77

so $i^{77}=(i^{76})(i^1)=$

$(i^4)^{19}(i)=(1)^{19}i=i$

the answer is B

8 0

3 years ago

Read 2 more answers

In the calm waters of an inlet, Manon's boat moves with a velocity (speed and direction) vector \vec{b_1} = (3,4) b 1 =(3,4)

andrew-mc [135]

Answer with Step-by-step explanation:

We are given that

$b_1=(3,4)$

$b_2=(1,1)$

We have to find the speed of river's current and the direction of current flowing.

$b=b_2-b_1=(1,1)-(3,4)=(-2,-3)$

Speed of river's current= $\mid b\mid$

Speed of river's current= $\sqrt{(-2)^2+(-3)^2}$

Speed of river's current= $\sqrt{13} m/s$

By using the formula

$\mid r\mid =\sqrt{x^2+y^2}$

Direction of current flowing, $\theta=tan^{-1}(\frac{y}{x})$

$\theta=tan^{-1}(\frac{-3}{-2})=56.3^{\circ}$

The angle lies in third quadrant therefore

$\theta=180+56.3=236.3^{\circ}$

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3 years ago

What is the value of a?

Annette [7]

Answer:

<h2>a = 16</h2>

Step-by-step explanation:

Look at the picture.

The formula of an area of a trapezoid is:

$A=\dfrac{b_1+b_2}{2}\cdot h$

$b_1,\ b_2$ - bases

$h$ - height

We have:

$A=128,\ b_1=a+2,\ b_2=a-2,\ h=8$

Substitute:

$128=\dfrac{a+2+a-2}{2}\cdot8\\\\128=\dfrac{2a}{2}\cdot8$

$128=8a$ <em>divide both sides by 8</em>

$16=a\to a=16$

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3 years ago

Please help me with this question

raketka [301]

A squared equals c.

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2 years ago

62 and a half divided by 150

alex41 [277]

It is 0.4166 (The 6 is repeating)

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3 years ago