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4 years ago

Find the surface area Sphere: area of the great circle ~ 28.6 in2

1 answer:

6 0

Area of a circle is πr².

Therefore we can get the radius of the great circle (and thus the sphere) by doing √(A / π).

√(28.6 / π) = 3.017 to 3DP.


Surface area of a sphere is 4πr².

4π(3.017)² = 114.4 to 1DP

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If h(x) = f<img src="https://tex.z-dn.net/?f=h%28x%29%20%3D%20f" id="TexFormula1" title="h(x) = f" alt="h(x) = f" align="absmidd

sertanlavr [38]

Answer:

g(x) = x+1

Step-by-step explanation:

f(x) = $\sqrt[3]{x+2}$

h(x) = $\sqrt[3]{x+3}$

h(x)= (fog)(x)= f(g(x))= $\sqrt[3]{g(x)+2}$

so $\sqrt[3]{x+3}$ = $\sqrt[3]{g(x)+2}$

cubing both sides ,we get

x+3 = g(x) +2

solving for g(x) ,we get

g(x) = x+1

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3 years ago

Which set of ordered pairs represents y as a function of x? O {(-8,3), (0,7), (2,-4), (-3,7)} O {(-4,0), (-1,3), (-9,-3), (-4,-8

Arada [10]

Answer:

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Step-by-step explanation:

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8 0

3 years ago

Write an exponential function whose graph passes through the points (0,-2) and (2,-50)

solniwko [45]

Answer:

first sub in (0,-2) to get

-2 = ab^0, but b^0 = 1

so a=-2

so far we have

y = -2b^x

now use the other point (2,-50)

-50 = -2(b^2)

b^2 = 25

b= ±5

however in exponentional equations the base is usually positve, so now you have

y = -2(5^x)

sub in x=-2 and you got it.

Step-by-step explanation:

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8 0

3 years ago

HELP I NEED HELP ASAP

Maksim231197 [3]

Answer:

Step-by-step explanation:

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6 0

3 years ago

How do I solve this

xz_007 [3.2K]

Let, the number of books I can buy = x

Selling price for 1 book = $5.99

So, selling price for x books = $(5.99x)

Given 7.5% is the sales tax.

To find sales tax we have to find 7.5% of $(5.99x)

7.5% of $(5.99x) = (5.99x) × 7.5/100 = (5.99x) × (0.075) = (0.44925x)

So the amount of sales tax = $(0.44925x)

The total cost for buying books including sales tax

= $(5.99x) + $(0.44925x)

=$(6.43925x)

Now given, the shipping cost is 10% of the price.

So to find the shipping cost we have to find 10% of $(6.43925x)

10% of $(6.43925x) = (6.43925x) × (10/100) = (6.43925x) ×(0.1) = (0.643925x)

Shipping charge = $(0.643925x)

So the total cost including shipping charge

= $(6.43925x) + $(0.643925x)

= $(7.083175x)

Now given, there is $50 to spend on books. So to find the number of books we can equate them.

7.083175x = 50

To get x, we have to divide both sides by 7.083175

(7.083175x)/7.083175 = 50/7.083175

x = 7.05898

As we are finding the number of books, so we will take the nearest whole number. Here the nearest whole number is 7.

So the required answer is 7 books.

3 0

4 years ago