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Viktor [21]
3 years ago
12

A spotlight can be adjusted to effectively light a circular area of up to 6 meters in diameter. To the nearest tenth, what is th

e maximum area that can be effectively lit by the spotlight? Use 3.14 for pi.
Mathematics
1 answer:
Inga [223]3 years ago
5 0

i know im late but i will still grab these points

Answer: 28.27 m

Step-by-step explanation: A = 1/4 π d2= 1/4 * π * 6*2 ≈ 28.27

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Peter processed two catering orders at the sandwich shop where he works. The first order was for 7 trays of club sandwiches and
timama [110]
So if one tray of vegetarian sandwiches cost $10, that means that 10 trays of vegetarian sandwiches would cost $100 (10x10)

Going back to the first order, if we know that 10 trays of vegetarian sandwiches costs $100, then we can subtract that from our overall of $149, leaving us with the cost of 7 trays of club sandwiches

$149 - $100 = $49

therefore, $49 is the cost of 7 trays of club sandwiches

to find the cost of 1 tray, we need to divide $49, by 7

$49 / 7 = $7

therefore, one tray of club sandwiches costs $7 and one tray of vegetarian sandwiches costs $10

hope that was helpful :)




4 0
3 years ago
Use the key features of the polynomial f(x) = −4x4 + 4x3 + 9x2 − 12x + 10 to describe its end behavior.
Aleks04 [339]

Answer:

The end behavior of a polynomial is determined by its grade, if it's an odd polynomial or an even polynomial. Also, another important characterstic is the leading coeffcient, because if it's positive, then the function will open to positive territory, this apply the most to even polynomials.

The given expression is

f(x)=-4x^{4} +4x^{3}+9x^{2}  -12x+10

As you can notice, the polynomial function has a grade of 4, that means it's an even function, with negative leading coefficient.

Therefore, the given function open towards negative side, that means it's end behavior is downside.

The image attached shows the graph of the function, there you can observe the end behavior we determined.

3 0
3 years ago
Nina is bouncing on the trampoline her fourth bounce is 6 feet high each bounce afterwards it's 2/3 as high as the bounce before
Helen [10]
Okay. So Nina's fourth bounce is 6 feet high. The following bounces will be 2/3 as high as the previous. That is also similar to exponential decay. 6 is 2 away from 4. For this, we will raise 2/3 to the 2nd power. We can basically just multiply it together. 2/3 * 2/3 is 4/9. Now, we multiply that fraction by 6. 6 is 6/1 as a fraction. 6/1 * 4/9 is 24/9 or 2 2/3 in simplest form. There. Nina's sixth bounce will be 2 2/3 feet high.
3 0
3 years ago
Got another hard question. ​
Kamila [148]

Answer:

D) 1/2

Step-by-step explanation:

<u>Dilation</u> : a type of transformation that makes the figure larger or smaller.

<u>Scale factor</u> : number or the conversion factor which is used to change the size of a figure without changing its shape.

Scale factor = dimensions of the new shape ÷ dimensions of the original shape

Given:

  • Length of new figure P'Q' = 3 units
  • Length of original figure PQ = 6 units

Therefore, scale factor = 3 ÷ 6 = 1/2

7 0
2 years ago
Read 2 more answers
I need help plsss i will give 15 pts and brainliest
Veseljchak [2.6K]

Answer:

1: 9.2 ÷ 100 = 0.092

2: 9.2 ÷ 10 = 0.92

5 0
3 years ago
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