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3 years ago

The

Mathematics

1 answer:

m_a_m_a [10]3 years ago

4 0

Answer:

F) standard form

Step-by-step explanation:

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Find the area of the segment (unshaded area) of Circle G with radius 4in. Round to the nearest tenth.

Romashka [77]

Angle is 90°

The sector is 1/4 th of circle

Area of sector

πr²/4
π(4)²/4
4πin²

Triangle is right angled

Area

1/2(4)²
16/2
8in²

Area of unshaded region

4π-8
4(π-2)
4(3.14-2)
4(1.14)
4.56in²

4 0

2 years ago

Read 2 more answers

The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l

sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

$A=\frac{\sqrt{3} }{4} x^2$

(c)

$A=\frac{3\sqrt{3} }{2} x^2$

(d)

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

$=\frac{\sqrt{3} }{4} b^2$

h=3x

b=x

now, we can plug values

$A=\frac{\sqrt{3} }{4} x^2$

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

$=6\times \frac{\sqrt{3} }{4} x^2$

$=\frac{3\sqrt{3} }{2} x^2$

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

$=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)$

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

3 0

4 years ago

Read 2 more answers

Which ratios form a proportion?

LekaFEV [45]

I would say D. 10/16, 5/8
Hope This helps :)

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3 years ago

Round each addendum to the nearest ten. 478 + 112

Amiraneli [1.4K]

500 and 100 because if you see the seven right, seven is the judge and so as the one. Make it 500 and the next number 100. So you'll have en estimate of 600. Ur welcome.

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4 years ago

The expression 9/2 = 3 is the same as

sergey [27]

The answer is C 9/2 x 1/3

5 0

3 years ago