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3 years ago

Please double-check for me :)

Mathematics

1 answer:

frosja888 [35]3 years ago

8 0

<em>I think your answer is fine</em>

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An angle measures 18.6° less than the measure of its complementary angle. What is the measure of each angle?

weeeeeb [17]

Answer:

X = 35.7 Y=54.3

Step-by-step explanation:

Let the 2 angles be called X and Y were X is the smaller angle

we know that both angles are complementary therefore
X+Y=90

X = Y - 18.6 ( Given )

Y - 18.6 + Y = 90 ( substitution)

2Y = 90 + 18.6

Y = 108.6/2

Y=54.3

X= Y-18.6= 54.3-18.6 = 35.7

Check : X + Y = 35.7+54.3=90

6 0

2 years ago

The volume of a sphere can be described by the following formula, where V = volume and r = radius of the sphere.

Anika [276]

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Step-by-step explanation:

Given formula for volume of a sphere is:

$V = \frac{4}{3}\pi r^3$

We have to make r the subject of the formula

Multiplying equation by 3/4

$\frac{3}{4}V = \frac{4}{3} * \frac{3}{4} \pi r^3\\\frac{3}{4}V = \pi r^3$

Dividing both sides by pi

$\frac{3}{4\pi}V =\frac{ \pi r^3}{\pi}\\\frac{3V}{4\pi} = r^3$

Taking cube root on both sides

$\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }$

Hence,

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Keywords: Volume, Sphere

Learn more about volume at:

#LearnwithBrainly

5 0

3 years ago

33 1/3% of 360 please help I don’t understand

Mars2501 [29]

Answer:

33 1/3% of 360 is 120

Step-by-step explanation:

33 1/3 can be converted to 33.333% or simply just 1/3, divide 360 by 3 to get your answer which is 120.

3 0

2 years ago

Read 2 more answers

Worth 21 points and giving brianliest!!!! Please help ASAP

Schach [20]

Answer:

Step 3

Step-by-step explanation:

This is the right one because you are adding two thing in step two which lead to step 3

5 0

2 years ago

In a figure, OB is the radius of a big semicircle and XB is the radius of the small semicircle. Given that OX = 14 cm, Calculate

oee [108]

Answer:

perimeter of the shaded region = 88 +44+28 =160 cm

Step-by-step explanation:

perimeter of shaded region = length AO + arc OB + arc AB

length AO = radius of bigger circle

radius of bigger circle = OX + OB = 2×radius of smaller circle = 2×14 cm = 28 cm

therefore AO = 28 cm

length of arc oB= half of circumference of smaller circle = $\pi$ ×14 = 44 cm

length of arc ab = half of circumference of bigger circle = $\pi$ ×28 = $\frac{22}{7}$ ×28= 88

therefore perimeter of the shaded region = 88 +44+28 =160 cm

area of the shaded region = half of area of bigger circle - half of area of smaller circle

= $\frac{1}{2} \pi 28^{2} -\frac{1}{2} \pi 14^{2}$

= $\frac{\pi }{2} (28^{2} -14^{2} )$

solving we gen area of shaded region = 924

7 0

3 years ago