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Mice21 [21]
3 years ago
15

HELP!!!!!!!! PLZ!!!!!!!!WILL GIVE BRAINLIEST!!!!!!!! :)

Mathematics
1 answer:
marta [7]3 years ago
3 0
(1) r+y<=15 
<span>r>=5 </span>
<span>8r+12y>=120 </span>
<span>(3) assuming she will work 15 hours, y = 15-r </span>
<span>so </span>
<span>8r + 12(15-r) >= 120 </span>
<span>8r+180-12r>=120 </span>
<span>-4r+180>=120 </span>
<span>-4r >= -60 </span>
<span>r <= 15 </span>
<span>looks like she could work all 15 hours and still make 120 dollars </span>
<span>(4) r= 5 required hours in the restaurant then </span>
<span>8r + 12(15-r)= 160</span>
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3 years ago
Find the function value of cos^2 (7pi/8)
Kamila [148]
\cos^2\dfrac{7\pi}8=\dfrac12\left(1+\cos\dfrac{7\pi}4\right)
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7 0
3 years ago
A circle with radius of \greenD{3\,\text{cm}}3cmstart color #1fab54, 3, start text, c, m, end text, end color #1fab54 sits insid
Zolol [24]

Answer:

The area of the shaded region is 125.664 square centimetre

Step-by-step explanation:

Area of the shaded region  =  area of the circle with radius 7 cm - area of the circle with  radius 3 cm----------------(1)

<u>Step 1:  Finding the area of the circle with radius 7 cm</u>

Area of the circle A = \pi r^2

On substituting the value of the radius, we get

Area of the circle A =\pi(7)^2

Area of the circle A = 49 \pi square centimetre----------------(2)

<u>Step 2:  Finding the area of the circle with radius 3 cm</u>

Area of the circle a = \pi r^2

On substituting the value of the radius, we get

Area of the circle a  = \pi (3)^2

Area of the circle a  = 9 \pi square centimetre ----------------(3)

<u>Step 3:  Finding the area of the shaded region</u>

Area of the shaded region  = 49 \pi - 9\pi

= 40 \pi

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6 0
3 years ago
The sum of the first 200 terms of the arithmetic sequence with initial term 2 and common difference 3 is
Svetradugi [14.3K]

Answer: D. 60100

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 200 terms

a = 2

d = 3

Therefore, the sum of the first 200 terms, S200 would be

S200 = 200/2[2 × 2 + (200 - 1)3]

S200 = 100[4 + 597)

S200 = 100 × 601 = 60100

8 0
4 years ago
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