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2 years ago

The diagram shows 3 identical circles inside a rectangle.

Mathematics

1 answer:

Leya [2.2K]2 years ago

3 0

one side is 12 as the radius is 2 so x 2 for diameter which is 4. there are 3 circles so times it by 3 which = 12.

the other side is 4 as one circle daimeter is 4.

4 x 12 = 48.

I am not exactly sure how to do the second part but i hope this helps u

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consider the figures below which of the following statements are true given angle S is congruent to angle J and angle N is con

Vsevolod [243]

Answer:

A C D E F

Step-by-step explanation:

Might be wrong

7 0

2 years ago

What’s the angle it’s looking for ?

Law Incorporation [45]

Given:

m(ar KN) = 2x + 151

m(ar LN) = 61°

m∠NMK = 2x + 45

To find:

m∠NMK

Solution:

By property of circle:

<em>If a tangent and a secant intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$$\Rightarrow m\angle NMK=\frac{1}{2} (m \ ar(KN) - m\ arLN))$

$$\Rightarrow 2x+45=\frac{1}{2} (2x + 151-61)$

$$\Rightarrow 2x+45=\frac{1}{2} (2x + 90)$

Multiply by 2 on both sides, we get

$$\Rightarrow 2\times (2x+45)=2\times \frac{1}{2} (2x + 90)$

$$\Rightarrow 4x+90=2x + 90$

Subtract 90 from both sides.

$$\Rightarrow 4x+90-90=2x + 90-90$

$$\Rightarrow 4x=2x$

Subtract 2x from both sides.

$$\Rightarrow 4x-2x=2x-2x$

$$\Rightarrow 2x=0$

$$\Rightarrow x=0$

Substitute x= 0 in m∠NMK.

m∠NMK = 2x + 45

= 2(0) + 45

= 45

Therefore m∠NMK = 45.

8 0

2 years ago

$1.12 for 8.2 ounces? Unit Rate

Reil [10]

That is around 13 or 14 cents. The specific answer is 13.65853659 cents, but you can either round up to 14 or round down to 13 (rounding up to 14 is the correct way to do it.)

First you divide 1.12 by 8.2 to get the unit rate because It takes $1.12 to buy 8.2 ounces. 1.12/8.2=13.65853659

4 0

2 years ago

Use a calculator to find the values of the inverse trigonometric functions. Round to the nearest degree. sin–1 = __° tan–1(4) =_

elena-s [515]

Solution:

As 360°= 2 π Radian

1 Radian = $\frac{180 degree}{\pi }$