Express 0.68888888888.... as a rational number.

Answers

Answer 1

Answer:

Answer:

688/999.

Step-by-step explanation:

To express the repeating decimal 0.68888888888... as a rational number, you can set it up as an equation and solve for the fraction.

Let x = 0.68888888888...

Now, we want to remove the repeating part by multiplying x by an appropriate power of 10. In this case, we'll multiply by 10 to the power of the number of decimal places in the repeating part:

1000x = 688.88888888...

Now, we'll subtract x from 1000x to eliminate the repeating part:

1000x - x = 688.88888888... - 0.68888888888...

999x = 688

Now, divide both sides by 999 to isolate x:

x = 688 / 999

So, the repeating decimal 0.68888888888... can be expressed as the rational number 688/999.

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For the right triangle shown, which expression represents the length of CA? a. 5cos(25°)
b. 5tan(25°)
c. 5/sin(25°)
d. sin(25°)/5

Answers

Answer:

b. 5tan(25°)

Step-by-step explanation:

The tangent function gives the ratio between the side opposite and the side adjacent to the angle. That is ...

tan(25°) = ?/5

Multiplying by 5 solves the equation:

? = 5·tan(25°)

Answer:

Step-by-step explanation:

I did it one usatestprep

What is -5/8 + 3/4 ?

Answers

Answer:

0.125

Step-by-step explanation:

Two equations are given below:a – 3b = 16
a = b – 2

What is the solution to the set of equations in the form (a, b)? (5 points)

(–2, –6)
(–7, –9)
(–11, –9)
(–12, –10)

Answers

Asking the Math Gods...

a=-11
b=-9

Since a = b - 2, we can substitute this value into the other equation to find the value of b. Once we have a value for b, we substitute it back into one of the equations to find the value for a.

a - 3b = 16
b - 2 - 3b = 16
-2 - 2b = 16
-2b = 18
b = -9

Now substitute back into the equation

a = b - 2
a = -9 - 2
a = -11

Solution set in the form (a, b) is...

(-11, -9)

What is th smallest number that can be made using these digits 4278

Answers

the smallest number would be 2,478

Find the volume of the cone.Either enter an exact answer in terms of or use 3.14 for radius is 6 height is 8

Answers

Answer:

Hey there!

Cone formula: $\pi$ hr^2/3

Plugging in the values, we get the volume is 301.59

Let me know if this helps :)

Answer:

96π

301.59

Step-by-step explanation:

The volume of a cone can be calculated using the following formula:

$V=(1)/(3)bh$

b is the base and h is the height. The base formula for a circle (area):

$b=\pi r^2$

Insert this value into the formula:

$V=(1)/(3)\pi r^2h$

Simplify the formula:

$V=(\pi r^2h )/(3)$

Now insert the known values:

$V=(\pi(6)^2(8) )/(3)$

Simplify:

$V=(\pi*36*8 )/(3)\n\nV=(288\pi )/(3)\n\nV=96\pi$

The volume is 96π units³ or 301.59 units³.

:Done

tyler mixed 1 1/2 cups of flour with 3/4 cup of sugar. What is the total amount of flour and sugar tyler mixed?

Answers

Hello! try simplifying those two numbers so that they have the same denominators. You can see that you can convert 11/2 of flour so that you can add it with 3/4 of sugar and get the total amount together.

To convert multiply the top and bottom by 2 $(11)/(2) &* (2)/(2) = (22)/(4)$ :

Now add across the top numbers $(3)/(4) + (22)/(4) = (25)/(4)$ :

And finally simplify the fraction to get your final answer. You can pull out 24 out of 25 as the common factor for 4 and 6 $(25)/(4)=6 (1)/(4)$ and the remainder will be in the numerator.

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