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Allushta [10]
3 years ago
15

I’ll give the crown Which triangle’s unknown side length measure 53 units

Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0
The orange (second) one. Using Pythagorean theorem the side is sqrt(100-47) which is sqrt(53)
You might be interested in
F(x)= x-2/ x-4
hodyreva [135]

Answer:

The discontinuity is x = 4

There no holes

The equation of the vertical asymptote is x = 4

The x intercept is 2

The equation of the horizontal asymptote is y = 1

Step-by-step explanation:

* Lets explain the problem

∵ f(x)=\frac{x-2}{x-4}

- To find the point of discontinuity put the denominator = 0 and find

 the value of x

∵ The denominator is x - 4

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

* The discontinuity is x = 4

- A hole occurs when a number is both a zero of the numerator

 and denominator

∵ The numerator is x - 2

∵ x - 2 = 0 ⇒ add 2 to both sides

∴ x = 2

∵ The denominator is x - 4

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

∵ There is no common number makes the numerator and denominator

   equal to 0

∴ There no holes

- Vertical asymptotes are vertical lines which correspond to the zeroes  

  of the denominator of the function

∵ The zero of the denominator is x = 4

∴ The equation of the vertical asymptote is x = 4

- x- intercept is the values of x which make f(x) = 0, means the

 intersection points between the graph and the x-axis

∵ f(x) = 0

∴ \frac{x-2}{x-4}=0 ⇒ by using cross multiplication

∴ x - 2 = 0 ⇒ add 2 to both sides

∴ x = 2

* The x intercept is 2

- If the highest power of the numerator = the highest power of the

 denominator, then the equation of the horizontal asymptote is

 y = The leading coeff. of numerator/leading coeff. of denominator

∵ The numerator is x - 2

∵ The denominator is x - 4

∵ The leading coefficient of the numerator is 1

∵ The leading coefficient of the denominator is 1

∴ y = 1/1 = 1

* The equation of the horizontal asymptote is y = 1

6 0
3 years ago
Find the percent of increase from 40 gallons to 89 gallons. Round to the nearest tenth of a percent if necessary.
fredd [130]

Solution

- 89 gallons contains 40 gallons twice such that:

89=40+40+9

- This means that we can find at least 200% of 40 gallons in 89 gallons. This gives us what to expect.

- To get the percentage we are looking for, we should use the formula:

\frac{\text{new}}{\text{old}}\times100\text{ \%}

New, in this case, is 89 gallons, Old is 40 gallons.

- Thus, we can calculate the percentage as follows:

\begin{gathered} \frac{89}{40}\times100 \\ =2.225\times100 \\ =222.5\text{ \%} \end{gathered}

Thus, the answer is 222.5%

8 0
1 year ago
Jane's Ice Cream Shoppe has 33 ice cream flavors, 5 syrups, and 11 toppings. How many different ways can you construct a sundae
matrenka [14]

Answer:

18 combinations

Step-by-step explanation:

thank u

3 0
3 years ago
Xander has a board that is 3 yards long he wants to cut pieces that are 3/4 yard to make shelves How many pieces can he cut​
babymother [125]

Answer:

4 pieces for the shelves

Step-by-step explanation:

3/4×4=3

6 0
3 years ago
Read 2 more answers
Hugo lifted a total of 72 pounds in 9 attempts. Hugo lifted the same number of pounds in each attempt. how many pounds did he li
valkas [14]
8 attempts

72 divided by 9 equals answer

3 0
3 years ago
Read 2 more answers
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