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Ber [7]
3 years ago
11

The sides of a triangle measures 6 inches, 8inches, and 10inches. The triangle has one 90 degree angle. What type of triangle is

it?
Mathematics
1 answer:
IrinaVladis [17]3 years ago
5 0
It's a right triangle as it has the 90 degree corner and 3 different lengths

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What is the probability that a group of five friends all have different birthdays? Show all of your work for full credit.
patriot [66]

Answer: 0.98630136986

Step-by-step explanation:

There are 365 possible birthdays. The key to assigning the probability is to think in terms of complements: “Two (or more) people share a birthday” is the complement of “All people in the group have different birthdays.” Each probability is 1 minus the other. What is the probability that any two people have different birthdays? The first person could have any birthday (p = 365÷365 = 1), and the second person could then have any of the other 364 birthdays (p = 364÷365). Multiply those two and you have about 0.9973 as the probability that any two people have different birthdays, or 1−0.9973 = 0.0027 as the probability that they have the same birthday. If you have a group of five, it would mean your equation would have to be (p=360÷365)

8 0
2 years ago
(½) (6x + 3) = 7 – (3x + 1)
erastovalidia [21]

\tt Step-by-step~explanation:

To solve for x, we have to remember to isolate the variable.

\tt Step~1:

For 1/2, we can make that 0.5, since their values are equivalent. Our equation:

\tt (0.5)(6x+3)=7-(3x+1)

Let's distribute the 0.5 first.

\tt 0.5*6x=3x\\0.5*3=1.5

\tt Step~2:

Now, let's simplify the right side of the equation. We have to distribute the negative to 3x and 1.

\tt -1*3x=-3x\\-1*1=-1

Then, we simplify the entire expression.

\tt 7-3x-1=-3x+6

\tt Step~3:

Our equation now:

\tt 3x+1.5=-3x+6

Let's add 3x to the right and 3x to the left to simplify the -3x on the right side of the equation.

\tt 3x(+3x)+1.5=-3x (3x)+6\\6x+1.5=6

\tt Step~4:

Let's do the same thing we did in Step 3 to 1.5. Subtract 1.5 on both sides of the equation.

\tt 6x+1.5(-1.5)=6(-1.5)\\6x=4.5

\tt Step~5:

Finally, we divide both sides by 6 to isolate x.

\tt \frac{6x}{6} =x\\\frac{4.5}{6}= 0.75~or~\frac{3}{4}

\large\boxed{\tt Our~final~answer:~x=0.75~(or~\frac{3}{4})}

8 0
3 years ago
A container shaped as a rectangular prism can hold 840 wooden cube blocks with edge lengths of
asambeis [7]
First, fidn the volume of the little cubes that the rectangular prism can hold instide of itself. The formula for volume is length x width x height. This means you have to multiply 1/2 x 1/2 x 1/2. 1/2 x 1/2 x 1/2 = 1/8. Now, since the rectangular prism can hold 840 of these cubes, you need to multiply each cube's volume, 1/8, by 840. 1/8 x 840 = 105.

Your answer should be: 105 ft.^3
4 0
3 years ago
Read 2 more answers
Use the Rational Root Theorem to list all possible rational roots for the equation.
kicyunya [14]
The answer would be B and here’s the steps :)

5 0
2 years ago
In Chicago, IL, the average wind speed is 10.4 miles per hour. In Great Falls, MT, the average wind speed is 13.1 miles per hour
Fed [463]
I think Great Falls' average wind speed is greater than Chicago's by 2.7 miles
8 0
3 years ago
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