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3 years ago

The circumference of a circle is10π feet what is the radius

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

8 0

Answer:

r = 5 ft

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

We are given the circumference

10 *pi = 2 * pi *r

Divide each side by 2 *pi

10 pi/ 2 pi = 2*pi*r/2pi

5 =r

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Can someone plz help me with this one problem plzzz!!!

tresset_1 [31]

so, you just use the x's from the table and plug them into the equation to find the y.

y=(1)+9

y=10

y=(2)+9

y=11

y=(3)+9

y=12

y=(4)+9

y=13

i hope this helps :)

6 0

3 years ago

If A and B are independent events with P(A) = .5 and P(B) = .2, find the following:a) P(A U B)b) P(A^c ? B^c)c) P(A^c U B^c)**No

Effectus [21]

If A and B are independent, then $P(A\cap B)=P(A)P(B)$ .

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=P(A)+P(B)-P(A)P(B)$

$P(A\cup B)=0.5+0.2-0.5\cdot0.2$

$\boxed{P(A\cup B)=0.6}$

b. I'm guessing the ? is supposed to stand for intersection. We can use DeMorgan's law for complements here:

$P(A^c\cap B^c)=P(A\cup B)^c=1-P(A\cup B)$

$P(A^c\cap B^c)=1-0.6$

$\boxed{P(A^c\cap B^c)=0.4}$

c. DeMorgan's law can be used here too:

$P(A^c\cup B^c)=P(A\cap B)^c=1-P(A\cap B)=1-P(A)P(B)$

$P(A^c\cup B^c)=1-0.5\cdot0.2$

$\boxed{P(A^c\cup B^c)=0.9}$

4 0

3 years ago

What is the simple interest of a note that has a face value of $12,000, a rate of 8%, and a term of 1 year?

Tju [1.3M]

Solution:

Given:

$\begin{gathered} P=\text{ \$}12,000 \\ R=8\text{ \%} \\ T=1year \end{gathered}$

Using the simple interest formula,

$\begin{gathered} I=\frac{PTR}{100} \\ I=\frac{12000\times1\times8}{100} \\ I=\text{ \$}960 \end{gathered}$

Therefore, the simple interest is $960.

8 0

1 year ago

Which graph correctly solves the system of equations below? y = −x2 + x + 7 y = x2 + 3x + 7

antiseptic1488 [7]

Answer:

(-1.703, 2.396)

(1.37, 6.493)

Step-by-step explanation:

We can easily solve this question by using a plotting tool or any graphing calculator,

The solution to the system of equation is given by the intersection points between the graphs of

y1 = −x^2 + x + 7

y2 = x^2 + 3x + 7

Please, see attached picture below.

The solutions are:

(-1.703, 2.396)

(1.37, 6.493)

5 0

3 years ago

Write -0.18 as a fraction in simplest form

balandron [24]

Answer:

-9/50

Step-by-step explanation:

4 0

3 years ago