Work out the area of a circle with a radius 6.2cm, take n/pi to be 3.142 and give your answer to 2 decimal places.

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

3 0

Answer:

Step-by-step explanation:

Area is pi times r squared. I don't know how to write that on the keyboard. Take your pi(3.142) times the radius(6.2)squared. Pemdas tell us to do exponents first, so 6.2 squared is 38.44. To square a number, just multiply it times itself. So now, we have pi(3.142) times the squared radius(38.44). So, 3.142X38.44=

120.778 Second place is seven followed by eight. Round up. 120.78

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The volume of a prism is area of the base times height.
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Find the area of the triangle and multiply by the height of the prism.

V = volume of the prism
A = area of the base
H = height of the prism
h = height of the triangle
b = base of the triangle

V = AH

V = (1/2)bhH

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How to find (c,d,e)<br>Please do a step by step working.Thank you.

Natasha2012 [34]

(a)
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y
   $\frac{t + 1}{2}$ = y
Answer for (a): $g^{-1}(t)$ = $\frac{t + 1}{2}$

(b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y: $y =\frac{t - 3}{4}$

Answer for (b): $h^{-1}(t)$ = $\frac{t - 3}{4}$

(c)
$g^{-1} ( h^{-1}(t)) = g^{-1} (\frac{t - 3}{4})$
replace all t's in the $g^{-1}(t)$ equation with $\frac{t - 3}{4}$
$g^{-1} (\frac{t - 3}{4})$ = $\frac{ \frac{t-3}{4} + 1}{2}$
= $\frac{ \frac{t-3}{4} + \frac{4}{4}}{2}$ = $\frac{ \frac{t - 3 + 4}{4}}{2}$ = $\frac{ \frac{t + 1}{4}}{2} = \frac{t + 1}{8}$
Answer for (c): $g^{-1} ( h^{-1}(t))$ = $\frac{t + 1}{8}$

(d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1

(e)
h(g(t)) = 8t - 1
   y = 8 t - 1
   t = 8y - 1
t + 1 = 8y
$\frac{t + 1}{8}$ = y
Answer for (e): inverse of h(g(t)) = $\frac{t + 1}{8}$

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3 years ago

GIVING 20 POINTS What is the product?

natta225 [31]

Answer:

Step-by-step explanation:

4^3 × 4^-3

Apply the law of exponents.

4^(3+-3)

4^(0)

Any base with the exponent of 0 is equal to 1.

= 1