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2 years ago

11

A circular plate has circumference 33.3 inches. What is the area of this plate? Use 3.14 for pi

1 answer:

slamgirl [31]2 years ago

5 0

Answer:
≈
52.56
square inches
Explanation:
∙
circumference (C ) of a circle is
C
=
2
π
r

×
x
where r is the radius
⇒
2
π
r
=
25.7
←
solve for r
divide both sides by
2
π
2
π
r
2
π
=
25.7
2
π
⇒
r
=
25.7
2
π
←
exact value
∙
area (A )
=
π
r
2
⇒
A
=
π
×
(
25.7
2
π
)
2
≈
52.56 )
=
π
r
2
⇒
A
=
π
×
(
25.7
2
π
)
2
≈
52.56
to 2 dec. hope I helped bruh...

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2 years ago

Solve for x write the exact answer using either base -10 or base-e logarithms

jeka57 [31]

<u>Given</u>:

The given expression is $2^{x+5}=13^{2 x}$

We need to determine the value of x using either base - 10 or base - e logarithms.

<u>Value of x:</u>

Let us determine the value of x using the base - e logarithms.

Applying the log rule that if $f(x)=g(x)$ then $\ln (f(x))=\ln (g(x))$

Thus, we get;

$\ln \left(2^{x+5}\right)=\ln \left(13^{2 x}\right)$

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Expanding, we get;

$x \ln (2)+5 \ln (2)=2 x \ln (13)$

Subtracting both sides by $5 \ln (2)$ , we get;

$x \ln (2)=2 x \ln (13)-5 \ln (2)$

Subtracting both sides by $2 x \ln (13)$ , we get;

$x \ln (2)-2 x \ln (13)=-5 \ln (2)$

Taking out the common term x, we have;

$x( \ln (2)-2 \ln (13))=-5 \ln (2)$

$x=\frac{-5 \ln (2)}{\ln (2)-2 \ln (13)}$

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6 0

2 years ago

X - 32.2 = 18.5 how do you solved this

Salsk061 [2.6K]

x-32.2= 18.5

Add 32.2 to both sides

x-32.2+32.2 = 18.5 + 32.2

x = 50.7

I hope that's help !

Check your answer

replace x by its number

50.7-32.2= 18.5

18.5 = 18.5

so the answer is good .

Please let me know if you have question(s) !

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2 years ago