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jeyben [28]
3 years ago
8

Find the missing side length of a right triangle length 6 height 8 and hypotenuse unknown

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
6 0

The answer would be 10 units.

I hope this helped!

netineya [11]3 years ago
4 0

Answer: 10

Step-by-step explanation:

You need to apply the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle.

Since you need to calculate the value of the hypotenuse, you need to solve for "a":

a=\sqrt{b^2+c^2}

You know the lenght of two sides of the right triangle (6 and 8) Then, you can  substitute these values into a=\sqrt{b^2+c^2}.

Therefore, the hypotenuse of this right triangle is:

 a=\sqrt{6^2+8^2}

 a=10

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Mary is rolling a standard six-sided die and spinning on a spinner with the number 1-8.
Readme [11.4K]

Answer:

a) Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

b) \frac{1}{48} probability of her rolling a 4 and spinning an 8.

c) \frac{1}{8} probability of her rolling an even number and spinning a number less than 3.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A) Are her dice rolls and spinning outcomes independent or dependent?

Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

B) What is the probability of her rolling a 4 and spinning an 8?

Since the events are independent, we find each separate probability and multiply them.

Probability of rolling a 4:

One side out of 6 on the dice. So

P(A) = \frac{1}{6}

Probability of spinning an 8:

One side out of 8 on the spinner. So

P(B) = \frac{1}{8}

Probability of rolling a 4 and spinning an 8:

P(A \cap B) = P(A)P(B) = \frac{1}{6} \times \frac{1}{8} = \frac{1}{48}

\frac{1}{48} probability of her rolling a 4 and spinning an 8.

C) What is the probability of her rolling an even number and spinning a number less than 3?

Since the events are independent, we find each separate probability and multiply them.

Probability of rolling an even number:

2, 4 or 6(3 sides out of 6). So

P(A) = \frac{3}{6} = \frac{1}{2}

Probability of spinning a number less than 3:

Two numbers(1 or 2) out of 8 on the spinner. So

P(B) = \frac{2}{8} = \frac{1}{4}

Probability of rolling an even number and spinning a number less than 3:

P(A \cap B) = P(A)P(B) = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8}

\frac{1}{8} probability of her rolling an even number and spinning a number less than 3.

8 0
2 years ago
PLEASE SOLVE, ITS REALLY EASY, AND IM ON A TIMER..... EEEEEEE
mart [117]

Answer:

What are the choices? How are we supposed to solve it? Seriously man

Step-by-step explanation:

7 0
3 years ago
Which of the following is the function for the graph below and shows the end behavior of the function as x ⟶ +∞?
sladkih [1.3K]

The simplest solution:

y - intercept of the function on the graph is (0; 6).

Only function f(x) = (4x^2 - 7x - 2)(2x - 3) has that y-intercept

f(0) = (4 · 0² - 7 · 0 - 2)(2 · 0 - 3) = (-2)(-3) = 6

Other functions have y - intercept equal (0; -6).

f(0) = (0 ... - 2)(0 + 3) = (-2)(3) = -6 or f(0) = (0 ... + 2)(0 - 3) = (2)(-3) = -6

6 0
3 years ago
Read 2 more answers
Re-write the quadratic function below in Standard Form y= -9(x+3)2+2
disa [49]

Answer:

18x+y=-52

Step-by-step explanation:

we all know and love(being 100% sarcastic here)the standard form  as

ax+by=c

y=-9(x+3)*2+2----This is weird and not so nice

so lets make it nice by distributing the 9::::

y=(-9x-27)2+2

and now the 2:

y=-18x-54+2

y=-18x-52

oops this is NOT in S.F we got to switch the -52 and y

52=-18x-y

-18 cant be neg. so we have to divide by -1 on both sides

-52=18x+y

18x+y=-52

HOPE THIS HELPS

7 0
3 years ago
Read 2 more answers
Which of the following numbers is irrational?
Juliette [100K]

Answer:

4

Step-by-step explanation:

the square root of 2 is an irrational number.

3 0
3 years ago
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