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3 years ago

6

One circle has a circumference of 12π cm. Another circle has a circumference of 32π cm. What is the ratio of the radius of the s

maller circle to the radius of the larger circle?
Options:
A: 3:8
B: 8:3
C: 1:3
D: 3:1

1 answer:

Virty [35]3 years ago

6 0

3:8

The ratio of small circle

12:32

If we divide both of them by 4 we get 3:8

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Please help me with this

oksano4ka [1.4K]

Answer:

m∠1=80°, m∠2=35°, m∠3=33°

Step-by-step explanation:

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

step 1

Find the measure of angle 1

In the triangle that contain the interior angle 1

∠1+69°+31°=180°

∠1+100°=180°

∠1=180°-100°=80°

step 2

Find the measure of angle 2

In the small triangle that contain the interior angle 2

∠2+45°+(180°-∠1)=180°

substitute the value of angle 1

∠2+45°+(180°-80°)=180°

∠2+45°+(100°)=180°

∠2+145°=180°

∠2=180°-145°=35°

step 3

Find the measure of angle 3

In the larger triangle that contain the interior angle 3

(∠3+31°)+69°+47°=180°

∠3+147°=180°

∠3=180°-147°=33°

3 0

3 years ago

What is the perimeter of parallelogram HIJK? Round to the nearest hundredth.

bixtya [17]

Answer:

Perimeter of the parallelogram = 26.64 units

Step-by-step explanation:

The perimeter of parallelogram = 2(a + b)

Here a = KJ = 7 units.

b = HK

We need to find the HK using the distance formula.

Distance formula = $\sqrt{(x2 - x1)^2 + (y2 - y1)^2}$

H = (-4, 3) and k = (-2, -3)

Now plug in x1 = -4, y1 =3, x2 = -2, y2 = -3 in the distance formula

HK = $\sqrt{(-2 -(-4))^2 + (-3 - 3)^2}$

= $\sqrt{(-2 +4)^2 + (-6)^2}$

= $\sqrt{4 + 36}$

= $\sqrt{40}$

HK = b = 6.32 units

Now plug in a = 7 and b = 6.32 in the perimeter formula, we get

Perimeter = 2(7 + 6.32)

= 2(13.32)

= 26.64 units

Thank you.

6 0

3 years ago

Question in the attached below. @grujan50

denpristay [2]

The first answer is ''Linear pair postulate''

The second answer is ''Definition of suplementary''

The third answer is ''m∡ACB+45=180''

The fourth answer is ''Subtraction Property of Equality''

The fifth answer is ''∡ACB is obtuse''

The sixth answer is ''Definition of obtuse triangle''

Good luck!!!

7 0

4 years ago

Please help me i need to solve for x

butalik [34]

Answer:

1.732i (complex form)

its weird, at high-school level complex shouldn't come, its considered mistake in the question. But the mathematically its all correct

Step-by-step explanation:

4 0

2 years ago

Bernard is 5 times older than Victor. Victor is five years older than Peter. If the sum of their ages is 65 years, how old will

Iteru [2.4K]

Answer:

Victor's age after 7 years = 10+7

=> 17 years

7 0

3 years ago