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White raven [17]
3 years ago
14

The cost of painting a circular traffic sign is $3.50 per square foot. How much, to the nearest dollar, will it cost to paint th

e sign if its diameter measures 36 in?
Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0
A = pi(r^2)

1. Calculate radius:
r = d/2, so r = 18

2. Enter variable into equation
a = pi(r^2)
becomes a = 3.14(18^2)

3. Solve
a = 3.14(324)
a ~= 1018 in2

4. Convert to feet
1018/12 = 84 ft2

5. Multiply by unit rate
84(3.5) = $294

It will cost $294 to paint the sign.






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WILL GIVE BRAINLIEST!!
Stels [109]

Hello,

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4 0
3 years ago
Two squares overlap. The area of the overlapped region is 1/4 of the small square's area and is 2/9 of the large square's area.
guajiro [1.7K]

Answer:

Step-by-step explanation:

.25+.24+2^=1.8-25/2=12

7 0
3 years ago
In a triangle, two sides that measure 8 centimeters and 11 centimeters form an angle that measures 82°. to the nearest tenth of
Gwar [14]
We can use the Сosine formula to solve this problem.
<span>First we must find the third side (АС) of the triangle:
</span>
AC^2=AB^2+BC^2-2*AB*BC*cos82^o \\ AC^2=8^2+11^2-2*8*11*0.1392 \\ AC^2=64+121-24.4992= 160.508 \\ AC= \sqrt{160.508} \approx  12.67 \ cm
<span>
The smallest angle of the triangle lies opposite the smallest side, so we need to find m</span>∠C.

cosC= \frac{AC^2+BC^2-AB^2}{2*AC*BC}  \\  \\ cosC= \frac{12.67^2+11^2-8^2}{2*12.67*11}= \frac{160.53+121-64}{278.74} = \frac{217.53}{278.74} \approx  0.7804

Now we can use Bradis's Table (I don't know the name in English, maybe Trigonometric Table?) to find m∠C:

m∠С = 38°42' = 38.7°

Answer: 38.7°


<span>I hope this helps</span>

7 0
3 years ago
A line passes through the point (-4,6) and has a slople of 3/2. Write an equation in point-slope form for this line.
Gennadij [26K]

Answer:

Step-by-step explanation:

point-slope formula is asked for [y-y1 = m(x-x1]

where the given point,  P=(x1,y1) = (-4,6)

and the slope , m is given as 3/2

so plug those into the formula

y-6=3/2(x-(-4))

y-6=3/2(x+4)

voila .. you are done :)

4 0
3 years ago
Giving right answer a branleist
Marta_Voda [28]

Answer:

yes, (8×10) - (8×3)

hope this helps :)

6 0
2 years ago
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