Answer:
10
Step-by-step explanation:
From past data:
Fraction of lily sold :
Total flowers / number of lily
Total flowers = 14
Number of lily = 7
Fraction of lily = 14 /7 = 1/2
Going by these ;
Expected number of lilies in the next 20 bouquets sold :
Fraction of lily * number of flower in bouquet
1/2 * 20
= 10 lilies
Answer:
15,872 mm³
Step-by-step explanation:
given:
A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.
Find:
the exact volume of the solid
solution:
volume of square base pyramid = (base area)² * h/3
where total h = 12 cm
height of top pyramid (ht)= 6 cm
height of bottom pyramid (hb) = 6 cm
bottom volume = total volume - the volume on top
so,
total volume = 1/3 (base area)² h
= 1/3 (8*8)² * 12
= 16,384 mm³
volume on top = 1/3 (top base area)² h
= 1/3 (4*4)² * 6
= 512 mm³
finally: get the bottom volume:
bottom volume = total volume - the volume on top
bot. vol = 16,384 mm³ - 512 mm³
= 15,872 mm³
therefore,
the volume of the cut pyramid base = 15,872 mm³
Answer:
<em>Dimensions : 1 by 1 by 2 feet,</em>
<em>Volume ⇒ 2 ft^3</em>
Step-by-step explanation:
Here, I can only assume that this rectangular prism is assigned to have dimensions 1 foot by 1 foot by 2 feet;
I can tell that these types of boxes have height and width as the same lengths, so given that;
<em>Dimensions : 1 by 1 by 2 feet,</em>
Volume ⇒ 1 * 1 * 2 ( by definition ) ⇒ 2 ft^3
In other words, <em>Volume ⇒ 2 ft^3</em>
Hey there! :)
To find an equation of a line that passes through (5, 1) and has a slope of 2, we'll need to plug our known variables into the slope-intercept equation.
Slope-intercept equation : y = mx + b ; where m=slope, b=y-intercept
Since we're already given the slope, all we really need to do is find the y-intercept.
We can do this by plugging our known values into the slope-intercept equation.
y = mx + b
Since we're trying to find "b," we need to plug in "y, m, x" into our formula.
(1) = (2)(5) + b
Simplify.
1 = 10 + b
Subtract 10 from both sides.
1 - 10 = b
Simplify.
-9 = b
So, our y-intercept is 9!
Now, we can very simply plug our known values into slope-intercept form.
y = mx + b
y = 2x - 9 → final answer
~Hope I helped!~
