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3 years ago

Doe anyone know this? At least someone have to

Mathematics

1 answer:

Paul [167]3 years ago

4 0

Answer:

While I will not give you an answer, I will tell you how to find it. Don't get scared! I promise it's not complicated. You basically only need to do subtraction.

Concept Explanation:

Okay, so let's start off by defining "complement" and "supplement":

"Complement" - complementary angles: two angles whose sum equals 90°

"Supplement" - supplementary angles: two angles whose sum equals 180°

So, this question is asking you what the other angle is. Based on whether they ask you for the complement or supplement, you only need to subtract the first angle they give you from 90° (if it's asking for the complement) or 180° (if it's asking you for the supplement).

Here are some examples if you're still confused!

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- What is the complement of a 32° angle?

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Since they're asking for the complement, we will subtract 32° (the angle they give us) from 90° (because it's a complement)

↓

90 - 32 = 58

↓

So our answer is: 58°

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Now let's do a supplement one.

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- What is the supplement of an 84° angle?

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Because they're asking for the supplement, we will subtract 84° (the angle they give us) from 180° (because it's a supplement)

↓

180 - 84 = 96

↓

Then our answer will be: 96°

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That's all! It's just some subtraction once you know what the vocabulary means. Please comment if you have any other questions.

If you want me to check your answers once you try your problem, I can do that as well!

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2 years ago

For the graphed function f(x) = (4)x − 1 + 2, calculate the average rate of change from x = 1 to x = 2.

lorasvet [3.4K]

Average rate of the function: 3

Step-by-step explanation:

The function in this problem is

$f(x)=4^{x-1}+2$

The average rate of change of a function over an interval $(x_1,x_2)$ is given by

$r=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

where

$f(x_1),f(x_2)$ are the values of the function calculated in $x_1,x_2$ respectively

For the function in this problem we have:

$x_1=1$ , so

$f(x_1)=f(1)=4^{1-1}+2=4^0+2=1+2=3$

$x_2=2$ , so

$f(x_2)=f(2)=4^{2-1}+2=4^1+2=4+2=6$

So, the average rate of change is

$r=\frac{6-3}{2-1}=\frac{3}{1}=3$

Learn more about rate of change:

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3 years ago

point b on the ground is 5 cm from point E at the entrance to Ollie's house. He is 1.8 m tall and is standing at Point D, below

enot [183]

Point B on the ground is 5 cm from point E at the entrance to Ollie's house.

Ollie is at a distance of 2.45 m from the entrance to his house when he first activates the sensor.

The complete question is as follows:

Ollie has installed security lights on the side of his house that is activated by a sensor. The sensor is located at point C directly above point D. The area covered by the sensor is shown by the shaded region enclosed by triangle ABC. The distance from A to B is 4.5 m, and the distance from B to C is 6m. Angle ACB is 15°.