Answer:
C (circumference) =2×π×r
we've got a 30-60-90 triangle
which means 9=d√3, d=5.19 exact inches
or ≈5.20 inches
d=2r, r=5.20÷2≈2.60 inches
C=2×3.14×2.60≈16.328
Answer is 174 ft2.
Area of triangle: 24 ft2
First, find the horizontal side of the triangle (using pythagorus).
16-10=6
root10^2 - 6^2 = 8 ft
Then work out the area of the triangle.
(8 x 6)/2 = 24 ft2
Secondly, find the area of the rectangle.
10 x 15 = 150 ft2
Then add up the area of the triangle and rectangle.
150+24= 174 ft2
The <em><u>correct answers</u></em> are:
7 mugs on each shelf; and 7 shelves for blue and 8 shelves for red.
Explanation:
To find the number of mugs that will fit on each shelf, we find the GCF (greatest common factor) of 49 and 56. To do this, we find the prime factorization of each:
49 = 7(7)
56 = 7(8)
8 = 2(4)
4 = 2(2)
56 = 2(2)(2)(7)
The only common factor is 7, so this is the GCF. This means that she needs to put 7 mugs on each shelf.
Since there are 49 blue mugs, she needs 49/7 = 7 shelves for them.
Since there are 56 red mugs, she needs 56/7 = 8 shelves for them.
You're already given the slope, so the first step you must take is to find the y-intercept. To do this, you substitute the values of the coordinate M into y = 5x + c, with the x value substituting x and the y value substituting y. This gives us:
2 = (5 × 1) + c
2 = 5 + c
- 5
-3 = c
So now you know that the y-intercept is -3, you can see that your final answer must be the first option, y = 5x - 3.
I hope this helps!
Place the pantomino on 5 numbers they must equal 490 so to check if it would work just add them first if it's not possible explain how it's not possible
