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Artyom0805 [142]
3 years ago
15

If tan a = 1, find a.

Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Answer:

a=45

Step-by-step explanation:

tan a= 1

tan a= tan45

a=45

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Which pair of undefined terms is used to define a ray?
Zigmanuir [339]

Answer:

A point and a line.

Further explanation:

Ray is part of the line with one endpoint. Ray is an endless straight path in one direction from a starting point, e.g., .

The arrow above the point shows the direction of the longitudinal beam. The length of the ray cannot be calculated.

Undefined terms are basic figure that is not defined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.

These key terms cannot be mathematically defined using other known words.

A point represents a location and has no dimension (size).  It is labeled with a capital letter and a dot.

A line is an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.

A plane is a flat surface that contains many points and lines.  A plane extends infinitely in all four directions.  It is two-dimensional.  Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.

3 0
3 years ago
A 5-meter ladder is leaning against the side of a house. The foot of the ladder is pulled away from the house at a rate of 0.4 m
Flura [38]
<h2>The top of the ladder is descending at 0.3 m/s.</h2>

Step-by-step explanation:

By Pythagoras theorem we know that

              Hypotenuse² = Base² + Perpendicular²

                   h² = b² + p²

We have for ladder

                        h = 5 m

                        b = 3 m

                        5² = 3² + p²

                        p = 4 m

                        \frac{db}{dt}=0.4m/s\\\\\frac{dh}{dt}=0

Differentiating h² = b² + p² with respect to time

                    2h\times \frac{dh}{dt}=2b\times \frac{db}{dt}+2p\times \frac{dp}{dt}\\\\5\times 0=3\times 0.4+4\times \frac{dp}{dt}\\\\\frac{dp}{dt}=-0.3m/s

The top of the ladder is descending at 0.3 m/s.

3 0
3 years ago
Matt earns $5 for each lawn he does. He wants to earn at least $100. Which inequality represents his situation?
romanna [79]

Answer:

$100 is less than or equal to x

7 0
3 years ago
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Michael pays $30 to enter a state fair, plus $4 for each ride. Which of the following
lawyer [7]

Answer:

The required equation is:

y=4x+30

So, Option C is correct option.

Step-by-step explanation:

Entry fee for fair = $30

Cost of one ride = $4

Cost of x rides = $4x

If y represents the total cost the equation will be sum, of entree fee and cost of x rides i.e

y=4x+30

The required equation is:

y=4x+30

So, Option C is correct option.

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3 years ago
Find the perimeter of a square with area 64 cm/2
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The answer is 32cm :))))))
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