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3 years ago

A sector with a radius of 15 cm has a central angle measure of 8pie/5

Mathematics

1 answer:

Citrus2011 [14]3 years ago

3 0

Answer:

The area of the sector is $180\pi \ cm^2$ .

Step-by-step explanation:

We have,

Radius of circle is 15 cm

Central angle is $\dfrac{8\pi}{5}\ \text{radian}$

It is required to find the area of the sector. The formula used to find the area of sector is given by :

$A=\dfrac{1}{2}r^2\theta$

Plugging all the values in above formula as :

$A=\dfrac{1}{2}\times 15^2\times \dfrac{8\pi}{5}\\A=180\pi \ cm^2$

So, the area of the sector is $180\pi \ cm^2$ .

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PLEASE HELP . ILL MAKE BRAINLIEST !! PLEASE

asambeis [7]

Answer:

Step-by-step explanation:

add

and then mutupy them together

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3 years ago

I don’t understand what to solve.

White raven [17]

Well since it gives you 2 gas stations it wants you to compare prices

Als gas station will be A
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since station A has $3.259/ gallon I assume
and B has $3.199/ gallon

just subtract them

so 3.259 -3.199 = 0.06

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for the next one if you bought gallon of gas at the cheaper station you'd be saving $0.06/gallon since we got the difference from subtracting them.

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4 years ago

Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of t

MariettaO [177]

Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6. $\overline 6$

Given that 6. $\overline 6$ > 0, we have;

At the maximum volume, the width of the block, w = 6. $\overline 6$ cm ≈ 6.7 cm

The maximum volume, $V_{max}$ , is therefore given when w = 6. $\overline 6$ cm = 20/3 cm as follows;

V = 10·w² - w³

$V_{max}$ = 10·(20/3)² - (20/3)³ = 4000/27 = 148. $\overline {148}$

The maximum volume, $V_{max}$ = 148. $\overline {148}$ cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

5 0

3 years ago

Can you please Simplify 4a+7b+5a-b

vovangra [49]

Answer:

9a+6b

Step-by-step explanation:

4a+7b+5a-b

First figure out the a's 4a + 5a = 9a

Then do b's (Remember, if there is no number by the letter then it is 1)

7b - 1b = 6b

So for this to be simplified the answer is 9a+6b

7 0

3 years ago

The average grain of salt is 0.0003 meters wide. Rhinovirus, which causes the common cold, is 0.00000003 meters wide. How many t

algol [13]

Answer:

$1\times 10^4\ times$

Step-by-step explanation:

Given:

Width of average grain of salt is, $w=0.0003\ m$

Width of Rhinovirus is, $W=0.00000003\ m$

Now, expressing each width in scientific notation form, we get:

$w=0.0003\ m = 3\times 10^{-4}\ m\\\\W=0.00000003\ m = 3\times 10^{-8}\ m$

Now, in order to get how many times 'W' is wider than 'w', we divide the two widths. This gives,

$\frac{W}{w}=\frac{3\times 10^{-4}\ m}{3\times 10^{-8}\ m}\\\\\frac{W}{w}=1\times 10^{-4-(-8)}=1\times 10^{-4+8}=1\times 10^4\\\\\therefore W=1\times 10^4\times w$

Therefore, the grain of salt is $1\times 10^4\ times$ wider than Rhinovirus.

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4 years ago