All categories

2 years ago

Find the value of the variables.

Mathematics

1 answer:

Ksju [112]2 years ago

5 0

Answer:

d=8√2 = 11.31

x=3√3 = 5.20

y=6√3 = 10.39

Step-by-step explanation:

d²=8²+8²

d²=64+64

d²=128

d=√128

d=√64*2

d=8√2 = 11.31

30-60-90 triangle

x-x√3-2x

x√3=9

x=9/√3

x=3√3

y=2x

y=2 * 3√3

y=6√3

You might be interested in

Move numbers to the blanks to show a meaning of 5×2 = 10

MrRissso [65]

Answer:

The expression 5 × 2 = 10 means:

10 is 5 times as many as 2.

Step-by-step explanation:

Given the expression

5 × 2 = 10

From the expression, it is clear that we can determine that when we multiply 2 by 5 to get 10.

In other words, we can determine the value 10 by:

2+2+2+2+2 = 10

It means 10 is 5 times as many as 2.

Therefore, the expression 5 × 2 = 10 means:

10 is 5 times as many as 2.

6 0

3 years ago

Enter the equation of the line in slope-intercept form.

raketka [301]

Answer:

y = 5x-14

Step-by-step explanation:

We should use point-slope form to form our equation:

y-1 = 5(x-3)

y-1 = 5x-15

y = 5x-14

Our equation is now in slope-intercept form.

HTH :)

4 0

3 years ago

The prices of three t-shirts styles are $24, $30 and $36. the probability of choosing a $24 t-shirt is 1/6. the probability of c

Slav-nsk [51]

$\text{Answer} : \text{The expected value of a t-shirt is \$31.}$

Explanation:

Since we have given that

The prices of three t-shirts styles i.e $24, $30, $36 with their probability is given by

$\frac{1}{6}, \frac{1}{2},\frac{1}{3}$

As we know that,

$E(X)= \sum_{1}^{3}x_iP(x_i)$

$\text{where} x_i \text{ is the prices of t- shirts styles}$

Now,

$x_1= \$24 , x_2=\$30 , x_3=$36$

and

$P(x_1)=\frac{1}{6},P(x_2)=\frac{1}{2}, P(x_3)=\frac{1}{3}$

So,

$E(X)= 24\times \frac{1}{6}+30\times\frac{1}{2}+36\times \frac{1}{3}\\=4+15+12\\=31$

So, the expected value of a t-shirt = $31.

4 0

3 years ago

Rabbits in a colony breed and give birth to baby rabbits. What model best describes the total number of rabbits in the colony ov

zimovet [89]

Answer: A) Exponential Function

Step-by-step explanation:

Hi, an exponential function describes best the total number of rabbits in the colony over time, because the population tends to multiply by a specific rate over time.

An exponential function can be described as a growth function, for example in the form:

A = P (1 + r) t

Where:

p = original population

r = growing rate (decimal form)

t= years

A = population after t years

8 0

3 years ago

Select all the correct answers. Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If th

mojhsa [17]

Answer: T = 4c + 4t + 3s

Step-by-step explanation:

Stocks contains:

4-legged chairs

4-legged tables

3-legged stools

So, 1 chair has legs = 4

So, c chairs has legs = 4c

1 table has legs = 4

So, t tables has legs = 4t

1 stool has legs = 3

So, s stools has legs = 3s

Let T denotes the total no. of legs

So, the total number of furniture legs in aisle 2 :

T = 4c + 4t + 3s

6 0

3 years ago