FREEEEE POINTS FOR THE FIRST PERSON THAT ANSWERS.

Is 5 a rational number or an irrational number?

nasty-shy [4]

Answer:

It is a rational number

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Tommy finished 3/5 of the race in 6 hour. how long was the entire race?

lesya692 [45]

Hello there,

Well to find the total time you would have to set up a proportion...

6 / 3/5 = x / 1

Now you crosss multiply and divide...

6 * 1 = 6

6 / 3/5 =30/3 = 10

Answer: 10 hours

Hope I helped!!

-Char

7 0

2 years ago

The cosine of 23° is equivalent to the sine of what angle

Archy [21]

Answer:

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

Anyways co-functions have this identity:

$\cos(90^\circ-x)=\sin(x)$

or

$\sin(90^\circ-x)=\cos(x)$

You can prove those drawing a right triangle.

I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:

The sum of the angles is 180.

So 90+x+(missing angle)=180.

Let's solve for the missing angle.

Subtract 90 on both sides:

x+(missing angle)=90

Subtract x on both sides:

(missing angle)=90-x.

So the missing angle has measurement (90-x).

So cos(90-x)=a/c

and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

cos(x)=b/c

sin(90-x)=b/c

This means sin(90-x)=cos(x).

So back to the problem:

cos(23)=sin(90-23)

cos(23)=sin(67)

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

6 0

2 years ago

the diameter of the circle base of a storage container 18.8 m circumference of the base is approximately 59 m which of these cou

ozzi

Answer:

Estimate the value of pi =3.14

Step-by-step explanation:

The diameter of the circle base of a storage container 18.8m

The diameter of the circle 'd' = 2r

Given data 'd' = 2r = 18.8m

The circumference of the circle = 2πr

Given data of circumference of the circle = 59 m

given 2πr = 59

2r(π) = 59

18.8 π = 59 ( by using 2r =18.8)

π = 59/18.8

π = 3.13829

π = 3.14

Conclusion:-

Estimate the value of pi =3.14

6 0

3 years ago

The table gives the relative frequencies of recipes that contains sugar and salt, contain at least one of those ingredients, or

tigry1 [53]

Answer-

The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%

Solution-

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

$P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}$

$P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}$

$P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67$

Putting these values,

$P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%$

5 0

3 years ago