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2 years ago

Is cos theta=cos(-theta)

Mathematics

1 answer:

saul85 [17]2 years ago

4 0

Answer:

TRUE

Step-by-step explanation:

An even function is a function that satisfies that f(x) = f(-x). Also, we know that cosine is an even function, therefore cos(theta) equals cos(-theta).

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Todd Has 3/4 of a pizza. Mary has 6/10 of a pizza. How much do they have together?

Naily [24]

Answer:

They have 1 7/20 pizza together.

3 0

2 years ago

Read 2 more answers

Find two consecutive integers such that one fifth of the first less one-ninth of the second is 3. Pls answer.

mart [117]

Answer:

35 and 36

Step-by-step explanation:

To solve this problem, we must interpret it line by line;

We are dealing with consecutive integers; these are integers with a difference of 1 between them.

let the first number = x

second number = x + 1

one - fifth of first;

$\frac{1}{5}$ x

one - ninth of the second;

$\frac{1}{9}$ (x + 1)

for the "less" ;

$\frac{1}{5}$ x - $\frac{1}{9}$ (x + 1) = 3

Multiply through by 45

45( $\frac{1}{5}$ x) - (45) $\frac{1}{9}$ (x + 1) = 3 x 45

9x - 5(x + 1) = 135

9x - 5x -5 = 135

4x = 135 + 5

4x = 140

x = 35

Now, x+1 = 35 + 1 = 36

The consecutive integers are 35 and 36

4 0

3 years ago

How many cups in a gallon

Bogdan [553]

1 gallon = 16 cups

Hope it helps you.

5 0

2 years ago

WILL MARK BRAINLIEST

dsp73

<h3>Refer to the diagram below</h3>

Draw one smaller circle inside another larger circle. Make sure the circle's edges do not touch in any way. Based on this diagram, you can see that any tangent of the smaller circle cannot possibly intersect the larger circle at exactly one location (hence that inner circle tangent cannot be a tangent to the larger circle). So that's why there are no common tangents in this situation.
Start with the drawing made in problem 1. Move the smaller circle so that it's now touching the larger circle at exactly one point. Make sure the smaller circle is completely inside the larger one. They both share a common point of tangency and therefore share a common single tangent line.
Start with the drawing made for problem 2. Move the smaller circle so that it's partially outside the larger circle. This will allow for two different common tangents to form.
Start with the drawing made for problem 3. Move the smaller circle so that it's completely outside the larger circle, but have the circles touch at exactly one point. This will allow for an internal common tangent plus two extra external common tangents.
Pull the two circles completely apart. Make sure they don't touch at all. This will allow us to have four different common tangents. Two of those tangents are internal, while the others are external. An internal tangent cuts through the line that directly connects the centers of the circles.

Refer to the diagram below for examples of what I mean.