There will be 72 flowers in total in the large arrangement.
Step-by-step explanation:
No. of red flowers in vase = 4
No. of white flowers in vase = 5
Ratio of red flowers to white flowers = 4:5
No. of red flowers in large arrangement = 32
No. of white flowers in large arrangement = w
Ratio of red flowers to white flowers = 32:w
Using proportion;
Ratio of red flowers to white flowers :: Ratio of red flowers to white flowers
Product of extreme = Product of mean
Dividing both sides by 4
Total flowers in large arrangement = Red flowers + white flowers
Total flowers in large arrangement = 32 + 40 =72
There will be 72 flowers in total in the large arrangement.
Keywords: ratio, proportion
Learn more about ratios at:
#LearnwithBrainly
Answer:
86
Step-by-step explanation:
<u>Perimeter of WXY = WSY+WRX+XY</u>
<em>--> WSY = SY x 2</em>
--> WSY = 16 x 2 = 32
<em>Since it is an isosceles triangle, WRX = WSY</em>
--> WRX = 32
<em>--> Draw a straight line from W to XY to divide it into two halves assuming it to be point A. This would form a right angle triangle of WAX.</em>
<em>--> Solve it using the cos theta rule</em>
--> Angle = Angle X = 70°
Hypotenuse = WRX = 32
Adjacent = WA = ?
<em>--> Cos (Angle) = Adjacent/Hypotenuse</em>
Cos (70) = WA/32
WA = 10.9 rounded off to 11
--> WA=AY= 11
--> XY = WA + AY = 11+11 = 22
<em>--> Perimeter = WSY+WRX+XY</em>
Perimeter = 32+32+22
Perimeter = 86
Therefore, the perimeter of WXY is 86.
Which relation is displayed in the table? {(3,3), (3, 7), (5, 8), (9,0)} {(3,3), (7, 3), (8, 5), (0,9)} {(3,3), (3, 7), (5, 9)
bulgar [2K]
Answer:
{(3,3), (3, 7), (5, 8), (9,0)
Step-by-step explanation:
The first number of an ordered pair is the x value and the second number is the y value.
9514 1404 393
Answer:
180 days
Step-by-step explanation:
The formulas for the volume of a cone and a cylinder are ...
V = πr²h . . . . . volume of a cone
V = (1/3)πr²h . . . . . volume of a cylinder
Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.
V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³
When the corn is used at the rate of 170 ft³/day, it will last ...
(30752.5 ft³)/(170 ft³/day) ≈ 180.96 days
The corn will last 180 days.
_____
<em>Additional comment</em>
In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.
Answer:
<u>x = 50°</u>
Step-by-step explanation:
2x = 140 - 40
2x = 100
x = 100/2
<u>x = 50°</u>
