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Scrat [10]
3 years ago
11

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer:

x = 14.25

Step-by-step explanation:

Start with a^2 + b^2 = c^2

a = 11

b = x

c = 18

plug in and solve

11^2 + x^2 = 18^2

121 + x^2 = 324 - Simplify

x^2 = 203 - subtract 121 from both sides

x = 14.247 rounds to 14.25 - square root on both sides

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the slope of a line passing through h (-2, 5) is -3/4. Which ordered pair represents a point on this line? ​
rosijanka [135]

Answer:

A

Step-by-step explanation:

Calculate the slope of the given points with the point (- 2,  5 )

If the slope is - \frac{3}{4} then the point is on the line

Calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (6, - 1)

m = \frac{-1-5}{6+2} = \frac{-6}{8} = - \frac{3}{4} ← point (6, - 1) is on the line

Repeat with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (2, 8)

m = \frac{8-5}{2+2} = \frac{3}{4} ← point (2, 8) is not on the line

Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 5, 1)

m = \frac{1-5}{-5+2} = \frac{-4}{-3} = \frac{4}{3} ← point (- 5, 1) is not on the line

Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (1, 1)

m = \frac{1-5}{1+2} = - \frac{4}{3} ← point (1, 1) is not on the line

Thus the point on the line is (6, - 1 ) → A

4 0
3 years ago
An entity with two multivalued attributes will be mapped as how many relations
grigory [225]
There are so many relationships between the original entity and new relation. 
The relation mapped from an entity involved in a 1:1 unary relationship contains a foreign key that correspond to its own primary key. 1 to one foreign key will be unique.
5 0
3 years ago
How to solve this problem
guapka [62]
2193 x 10(little 37) over 79

or

≈2.77595 x 10(little 38)

6 0
3 years ago
The slope of a line is the ratio of rise to run for any two points on a line. Is this a true statement? Explain in two to four s
Blizzard [7]

Answer:

True

Step-by-step explanation:

The slope is the ratio of rise to run for any two points on a line.

The rise is the change in vertical axis, y

Rise = y2 - y1

The run is the change in the horizontal axis, x

Run = x2 - x1

Slope is the ratio of both:

Rise / Run = (y2 - y1) / (x2 - x1)

8 0
3 years ago
Find the height of the triangle in which A=192 cm^2
romanna [79]

Step-by-step explanation:

one second 12345678910

6 0
2 years ago
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