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3 years ago

12

find the missing side of the triangle below. please round your final answer to the nearest tenth. Be sure to show all work! Use

pythagorean theorem

1 answer:

AleksandrR [38]3 years ago

5 0

I believe x=10.25 because of the pythagorean theorem.

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Help me please i dont understand this n im in a quizz

noname [10]

Answer:

i think its the last one

Step-by-step explanation:

7 0

3 years ago

Addison is 3 times as old as Bailey, and Bailey is 2.5 times as old as Christopher. If the sum of their ages is 66 , how old is

stepan [7]

Answer:

6 years old

Step-by-step explanation:

First, turn the information given in words as equations. Use variables to represent the people:

let A be Addison's age

let B be Bailey's age

let C be Christopher's age

A = 3B (Addison is 3 times as old as Bailey)

B = 2.5C (Bailey is 2.5 times as old as Christopher)

A + B + C = 66 (the sum of their ages is 66) (sum means addition)

Start with the equation for the sum of their ages (A + B + C = 66). You have other equations that can replace the variables in this equation.

A + B + C = 66

(3B) + B + C = 66 Replace A with 3B (because A = 3B)

4B + C = 66 Collect like terms (3B + B = 4B)

4(2.5C) + C = 66 Replace B with 2.5C (because B = 2.5C)

10C + C = 66 Collect like terms (10C + C = 11C)

11C = 66 Isolate "C"

11C/11 = 66/11 Divide both sides by 11 to cancel out 11 on the left side.

C = 6 Christopher's Age

Therefore Christopher is 6 years old.

3 0

3 years ago

What is the probability that all the roots of x2 + bx + c = 0 are real? [0,1]?

notsponge [240]

$x^2+bx+c$ will have real roots when the discriminant of the quadratic, $\Delta=b^2-4c$ , is non-negative, i.e.

$b^2-4c\ge0\implies b^2\ge4c$

Your question about probability is currently impossible to answer without knowing exactly what the experiment is. Are you picking $b,c$ at random from some interval? Is the choice of either distributed a certain way?

I'll assume the inclusion of "[0,1]" in your question is a suggestion that both $b,c$ are chosen indepently of one another from [0, 1]. Let $B,C$ denote the random variables that take on the values of $b,c$ , respectively. I'll assume $B,C$ are identical and follow the standard uniform distribution, i.e. they each have the same PDF and CDF as below:

$f_X(x)=\begin{cases}1&\text{for }0$

$F_X(x)=\begin{cases}0&\text{for }x$

where $X$ is either of $B,C$ .

Then the question is to find $P(B^2\ge4C)$ . We have

$P(B^2\ge4C)=P\left(C\le\dfrac{B^2}4\right)$

and we can condition the random variable $C$ on the event of $B=b$ by supposing

$P\left(C\le\dfrac{B^2}4\right)=P\left(\left(C\le\dfrac{B^2}4\right)\land(B=b)\right)=P\left(C\le\dfrac{B^2}4\mid B=b\right)\cdot P(B=b)$

then integrate over all possible values of $b$ .

$=\displaystyle\int_{-\infty}^\infty P\left(C\le\dfrac{b^2}4\right)f_B(b)\,\mathrm db$

$=\displaystyle\int_{-\infty}^\infty F_C\left(\dfrac{b^2}4\right)f_B(b)\,\mathrm db$

$=\displaystyle\int_0^1\dfrac{b^2}4\,\mathrm db=\frac1{12}$

4 0

3 years ago

Melissa made 164 fluid ounces of

abruzzese [7]

Answer:

c

Step-by-step explanation:

6 0

3 years ago

13. Simplify: (-5-√3)^2

Brilliant_brown [7]

I hope this helps you

(-5)^2+2. (-5)(-square root of 3)+('square root of 3)^2

25-10square root of 4+3

28-10square root of 3

4 0

3 years ago

Read 2 more answers