Would a triangle with the sides of 16 m, 30 m, and 34 m make a right triangle?

Mathematics

1 answer:

mafiozo [28]3 years ago

4 0

Answer:

Yes, it would make a right triangle.

Step-by-step explanation:

A right triangle must follow the equation: a^2 + b^2 = c^2

16^2 + 30^2 = 34^2

256 + 900 = 1156

1156 = 1156

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Sarah rolls a die twice. What is the probability that she rolls a 3 and then an even number?

vekshin1

Answer:

A) 1/12

Step-by-step explanation:

The sample space of rolling a die is { 1,2,3,4,5,6}

P (getting 3)= The number of "3"'s in the sample space over the number of items in the sample space

P (getting a 3} = 1/6

P (getting even)= The number of evens in the sample space over the number of items in the sample space

P (getting an even} = 3/6= 1/2

Since these are independent events, we multiply the probabilities

P(3, even) = 1/6 * 1/2 = 1/12

6 0

3 years ago

Read 2 more answers

Write a number or expression in each blank space to create true equations.

Rina8888 [55]

Answer:

$7(3+5)=7(3)+7(5)\\15-10=5(3-2)$

Step-by-step explanation:

Both expressions are examples of the distributive property, which basically says "if I have this many groups of some size and that many groups of the same size, I've got this + that groups of that size altogether."

To give an example, if I've got 3 groups of 5 and 2 groups of 5, I've got 3 + 2 = 5 groups of 5 in total. I've attached a visual from Math with Bad Drawings to illustrate this idea.

Mathematically, we'd capture that last example with the equation

$5(3)+5(2)=5(3+2)$ . We can also read that in reverse: 3 + 2 groups of 5 is the same as adding together 3 groups of 5 and 2 groups of 5; both directions get us 8 groups of 5. We can use this fact to rewrite the first expression like this: $7(3+5)=7(3)+7(5)$ .

This idea extends to subtraction too: If we have 3 groups of 4 and we take away 1 group of 4, we'd expect to be left with 3 - 1 = 2 groups of 4, or in symbols: $4(3)-4(1)=4(3-1)=4(2)$ . When we start with two numbers like 15 and 10, our first question should be if we can split them up into groups of the same size. Obviously, you could make 15 groups of 1 and 10 groups of 1, but 15 is also the same as 3 groups of 5 and 10 is the same as 2 groups of 5. Using the distributive property, we could write this as $15-10=3(5)-2(5)=5(3-2)$ , so we can say that $15-10=5(3-2)$ .