a right triangle has side lengths of 6, 10, and x. find x if it is the hypotenuse

Answer:

dependent

Step-by-step explanation:

because when x decreases y has to also decrease, so they are dependent on eachother

The equation is in direct variation and have constant of variation is 2.

According to the statement

we have given equation is 3x - 6y = 0 and find that the equation is direct variation of not.

Direct variation is the mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

So, to find the direct variation equate the given equation equal to zero and solve it.

So, 3x - 6y = 0

3x=6y

or

x/ y=2 or x=2⋅y

here x is directly proportional to the y by 2 times.

∴x∝y

So, this equation in direct variations and constant of variation is 2.

From above this is clear that the equation is in direct variation and have constant of variation is 2.

Learn more about the Equation here https://brainly.com/question/2972832

#SPJ1

Answer: 77 degrees

mLON is the total angle. mLOM is part of the angle, and is 55 degrees. To find the missing degree, subtract the part we know from the part the whole. In this case, subtract 55 from 132. mMON is 77 degrees.

After the tax and the tip are counted, we conclude that each friend must pay $30.

We know that the meal cost is $72.50.

Now, there is a 6.75% sales tax and a 15% tip on the waiter (we assume that the tip is based on the total meal cost, after the tax is applied).

Then the total meal cost is:

C = $72.50*( 1 + 6.75%/100%) = $72.50*(1 + 0.0675) = $77.39

Now we also need to add the tip, which is a 15% of that, so the total cost with the tip included is:

C' = $77.39*(1 + 15%/100%) = $88.998 = $90

(Where we rounded up).

Then, if there are 3 friends, each one must pay:

$90/3 = $30

Each friend must pay $30.

If you want to learn more about taxes:

https://brainly.com/question/1775528

#SPJ1

The sequence pattern for 3¹/₃, 3¹/₄, 3¹/₅, ...... is; f(n) = 3 + 1/(2 + n)

We are given the sequence;

3¹/₃, 3¹/₄, 3¹/₅, ......

Now, we can see that;

First term is 3¹/₃.

However, for the second term, 1 has been added to the denominator.

Thus, we can suggest that the sequence pattern here is;

f(n) = 3 + 1/(2 + n)

where n is the nth term.

Read more about sequence pattern at; https://brainly.com/question/6561461

#SPJ1

Answer:

c

Step-by-step explanation:

because I had a test on these

Answer:

$31,341.81

Step-by-step explanation:

The compound amount equation is A = P(1 + r/n)^(nt), where P is the unknown principal, r is the annual interest rate, n is the number of compounding periods per year and t is the number of years.  We want to solve this for P:

       A

------------------- = P

(1 + r/n)^(nt)

Substituting the given numerical values;

     $45,000

 ---------------------------  =  P

   (1+0.073/4)^(4*5)

Using a calculator, we evaluate this expression, obtaining:  $31,341.81

Answer:

1st option

Step-by-step explanation:

given the graph of f(x) then the graph of f(x) ± c is a vertical translation of f(x)

• if - c then a shift down of c units

• if + c then a shift up of c units

then for f(x) + 4 is a shift up of 4 units

The effective sizes for parametric tests, non parametric tests and chi square tests are as detailed below.

11) Parametric t-tests are statistical tests that assume the data approximately follows a normal distribution. Now, when trying to check for parametric t-tests, the effective size we use is Cohen's d which is an appropriate effect size for the comparison between two means.

12) Nonparametric t-tests are those statistical tests that don’t assume anything about the distribution followed by the data, and hence are also known as distribution free tests.

In non - parametric t - tests, we calculate effect size by using the formula;

r = z/√N

where;

r is effect size

z is z value

N is Observation number.

13) In the chi-square test, the effect size index (w) is calculated by dividing the chi-square value by the number of scores and taking the square root.

The effective size is considered small if w = 0.10, Considered medium if w = 0.30, and large if w = 0.50.

Read more about Statistics test size at; https://brainly.com/question/17203075

#SPJ1

Answer:

10 inches

Step-by-step explanation:

15 days/3 days =5

5 x 2 =10

Answer:

11

Step-by-step explanation:

(3x-28) + (3x-30) + x = 33

7x - 58 = 33

7x = 91

x = 13

DE = 3x - 28 = 3*13 - 28 = 11

The equation of the function g(x) is g(x) = 7^(3x) + 1

The function f(x) is given as:

f(x) = 7^x  1

When compressed horizontally by a factor of 1/3.

We have:

g(x) = f(3x)

This implies that:

g(x) = 7^(3x) + 1

Hence, the equation of the function g(x) is g(x) = 7^(3x) + 1

Read more about function transformation at:

https://brainly.com/question/13810353

#SPJ1

Answer:

30 cans

Step-by-step explanation:

cross multiply

14x = 28 * 15

14x = 420

x = 420/14

x = 30 cans

There are 7 pounds in 112 ounces

There is 1 pound in 16 ounces

So, the number of pounds in 112 ounces is

Pounds = 116 ounces/16 ounces

Remove the unit

Pounds = 112/16

Evaluate the quotient

Pounds = 7

Hence, there are 7 pounds in 112 ounces

Read more about metric units at:

https://brainly.com/question/2004114

#SPJ1

Answer:

A)

x + y = 80

y = x + 20

B) x = 30 minutes

C) No. If Pam dances for 60 minutes, and dances for 20 minutes longer than she does math, then she does math for 40 minutes. This means she spends 100 minutes total. 100 minutes is not 80 minutes, thus this is not possible.

Step-by-step explanation:

A)

x + y = 80

y = x + 20

B) x = 30 minutes

Replacing y with x + 20 in the first equation ->

x + x + 20 = 80

2x + 20 = 80

2x = 60

x = 30

C) No. If Pam dances for 60 minutes, and dances for 20 minutes longer than she does math, then she does math for 40 minutes. This means she spends 100 minutes total. 100 minutes is not 80 minutes, thus this is not possible.

The ordered pairs of the function are (0,1), (1,2), (2,5), (3,10) and (4,17)

The function is given as:

y = x^2 + 1

the ordered pairs are the x and y values of the function

So, we stet x = 0, 1, 2, 3 and 4

y = 0^2 + 1 = 1

y = 1^2 + 1 = 2

y = 2^2 + 1 = 5

y = 3^2 + 1 = 10

y = 4^2 + 1 = 17

Hence, the ordered pairs of the function are (0,1), (1,2), (2,5), (3,10) and (4,17)

Read more about ordered pairs at:

https://brainly.com/question/1528681

#SPJ1

Answer: 4n - 7 = 21, n = 7

Step-by-step explanation:

A difference indicates subtraction of two terms. Four times a number indicates that a number of any value has to be multiplied by 4.

Hence, the equation that is represented by the question is

[tex]4x - 7 = 21[/tex]

We can also solve this equation (i.e., find the value of x that makes this equation true).

Adding 7 to both sides, we get

[tex]4x - 7 + 7 = 21 + 7[/tex]

Since the -7 and 7 add to 0, the equation becomes

[tex]4x = 28[/tex]

To get x by itself, we can divide both sides by 4, making the equation

[tex]x=7[/tex]

Hence, x must be 7 to make the equation true, or 7 is a solution to the equation.

Answer:

119°

Step-by-step explanation:

the angles of a triangle make 180° (so does a straight line) therefore

180 (triangle) = a + c + 51

to find c:

180 (straight line) = 112 + c

c = 180 - 112

c = 68°

now we have

180 (triangle) = a + 68 + 51

to find a:

a = 180 - (68 + 51)

a = 180 - 119

a = 61°

to find b:

180 (straight line) = 61 + b

b = 180 - 61

b = 119°

Answer:

16/25

Step-by-step explanation:

(at least 1 prime selected)=1−(no primes selected)

There are 3 numbers in the set that are not prime (6,8,9)

(no primes selected)=(35)2=925

(at least 1 prime selected)=1−925

=1625

Answer:

0

Step-by-step explanation:

By the remainder theorem, this is the same as finding f(-1/2), which is equal to 0.

Answer:

x=5

Step-by-step explanation:

Resolvamos tu ecuación paso a paso.

4+x=9

Paso 1: simplifica ambos lados de la ecuación.

x+4=9

Paso 2: Resta 4 de ambos lados.

x+4−4=9−4

x=5

Answer:

4+x=9

or, x=9-4

or, x=5

the value of x is 5

Answer:

2/5

Step-by-step explanation:

20 ounces in all - 12 ounces drank = 8 ounces left

8 ounces left/20 ounces in all = 4/10 = 2/5 = 0.4

The portion of water remaining is 2/5 if the client is instructed to drink 20 ounces of water for 1 hour.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

A client is instructed to drink 20 ounces of water for 1 hour. The client has only been able to drink 12 ounces.

The remaining portion =  20 ounces  -  12 ounces drank

The remaining portion = 8 ounces left

As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

The fraction:

= 8 ounces left/20 ounces in all = 4/10 = 2/5 = 0.4

= 8/20

= 2/5

Thus, the portion of water remaining is 2/5 if the client is instructed to drink 20 ounces of water for 1 hour.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

The equation of the asymptote is y = 3x - 5. The correct answer is option C

The distance from a point and the distance to a line in hyperbola is known as asymptote. The general equation is [tex]x^{2}/ a^{2} - y^{2}/b^{2} = 1[/tex]

From the given equation of hyperbola, which is

[tex]\frac{(x - 2)^{2}}{4}[/tex]  - [tex]\frac{(y - 1)^{2} }{36}[/tex] = 1

The center (h , k) of the hyperbola = C(2, 1)

a = 2

b = 6

Where C = [tex]\sqrt{a^{2} + b^{2} }[/tex]

C = [tex]\sqrt{4 + 36}[/tex]

C = [tex]\sqrt{40}[/tex]

C = [tex]2\sqrt{10}[/tex]

The equation of the asymptote will be y - K = +/-(b/a)(x - h)

That is,

y - 1 = +/-(6/2)(x - 2)

y - 1 = +/-3(x - 2)

y - 1 = +/-3x - 6

y = +/-3x - 6 + 1

y = +/- 3x - 5

Therefore, the equation of the asymptote is y = 3x - 5.

Learn more about Asymptote here: https://brainly.com/question/4138300

#SPJ1

Answer:

6.2 rounds

Step-by-step explanation:

since 1 kilometer is 0.62 miles

10 kilometers is 6.2 miles

so about 6 and 1/5 rounds

Using translation concepts, it is found that g(x) is positive on the following interval:

(3, ∞)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Function [tex]g(x) = \sqrt[3]{x - 3}[/tex] is a shift right of 3 units of [tex]f(x) = \sqrt[3]{x}[/tex], which is positive on the interval (0, ∞), hence g(x) is positive on the interval (3, ∞).

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Solving a quadratic equation, the correct option is given by:

Yes, they intersect at the coordinates (0, 8) and (6, 26).

A quadratic function is given according to the following rule:

y = ax² + bx + c

The solutions are:

x1 = (-b + sqrt(Delta))/2a

x2 = (-b - sqrt(Delta))/2a

In which:

Delta = b² - 4ac

The equation for this system if:

-x² + 9x + 8 = 3x + 8

x² - 6x = 0

x(x - 6) = 0

Then:

Which means that the correct option is:

Yes, they intersect at the coordinates (0, 8) and (6, 26).

More can be learned about quadratic equations at https://brainly.com/question/28061776

#SPJ1