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Oksanka [162]
2 years ago
9

On a hot day, a fan has a mark on the tip of one blade. The equation y

Mathematics
1 answer:
stellarik [79]2 years ago
8 0
<h3>Answer:  5 cm</h3>

===================================================

Explanation:

Recall that the range for cosine is from -1 to 1, including both endpoints. The smallest cosine value is what we're after, since we want the height to be as small as possible (to allow the blade be closest to the table).

Effectively, this means we replace the cos(x) with -1 so that it's as small as possible. Then we compute to get:

20*cos(x)+25

20*(-1) + 25

-20 + 25

5

The height of the fan tip is 5 cm when it is the closest to the table.

Side note: On the flip side, the furthest away the fan tip can get is 20*(1) + 25 = 45 cm. Therefore, the range of y values is 5 \le y \le 45

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Y= 4x + 2<br> where the domain is the set of all of<br> the positive even numbers<br> less than 10.
inysia [295]

The range of the function y = 4x + 2 where the  domain is the set of all of

the positive even numbers  less than 10 is {10, 18, 26, 34}

The given equation is:

y  =  4x  +  2

The domain is the set of all of  the positive even numbers  less than 10.

That is, x = {2, 4, 6 ,8}

To get the range, find the values of y for x = 2, 4, 6, and 8

For x = 2:

y = 4(2)  +  2

y  =  8  +  2

y   =  10

For x = 4:

y = 4(4)  +  2

y  =  16  +  2

y   =  18

For x = 6:

y = 4(6)  +  2

y  =  24  +  2

y   =  26

For x = 8:

y = 4(8)  +  2

y  =  32  +  2

y   =  34

Therefore, the range = {10, 18, 26, 34}

Learn more here: brainly.com/question/18479953

5 0
2 years ago
A music store is receiving a shipment of Ipads. Each box comes with 12 white, 12 black and 24 grey
Mars2501 [29]

Answer:

<u>142 Grey, 83 white, 76 black</u>

Step-by-step explanation:

If you were to take 5 boxes and put 24,12,12 in each, then multiply each number by 5 you wpuld get 120 Grey, 60 white and 76 black. Then you would add what they already have 120 Grey + 22 Grey is 142 grey, 60 white + 23 white is 83 white, and 60 black + 16 black is 76 black.

3 0
3 years ago
Reagan used 1,297 sq ft of wrapping paper to wrap gifts for everyone in her class. If each gift used the same amount of wrapping
seraphim [82]
She used 54.04 sq ft of wrapping paper
5 0
3 years ago
The difference of two numbers is 16 and the sum of their squares is 130. What are the numbers.
Korvikt [17]
x - y = 16
x^2 + x^2 = 130

----------------
x^2 - y^2 = 256
+(x^2 + y^2 = 130)
2x^2 = 386
x^2 = 193
x = <span>13.892 (3DP)
----
</span>x - y = 16
13.892 - y = 16
-y = 2.108
y = -2.108
The numbers are: 13.892 and -2.108
4 0
3 years ago
What is the value of the expression below?
lozanna [386]

Answer:

25x10^18/4   or    6.25x10^18

Step-by-step explanation:

2.5x10^33x5x10^-15/2

12.5x10^18/2

6 0
3 years ago
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