<span>
1/4 n (-24+8m-100p)
= -24n/4 + 8mn/4 - 100np/4
= -6n + 2mn - 25np
answer
</span>A. -6n + 2mn - 25np
Answer:
51.63m^3
Step-by-step explanation:
The figure is made up of a rectangle, triangle and a semi circle
Area of the figure = Area of triangle + rectangle + semicircle
Area of the triangle = 1/2 * base * height
Area of the triangle = 1/2 * 3 * 5
Area of the triangle = 15/2
Area of the triangle = 7.5m^3
Area of the rectangle = Length * Width
Area of the rectangle = 6 * 5
Area of the rectangle = 30m^2
Area of the semicircle = πr²/2
Area of the semicircle = π(3)²/2
Area of the semicircle = 3.14(9)/2
Area of the semicircle = 3.14 * 4.5
Area of the semicircle = 14.13m^2
The area = 30 + 14.13+7.5
Area of the figure = 51.63m^3
Answer:
The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy
Step-by-step explanation:
step 1
<em>Find out the unit rate of a regular tube of toothpaste</em>
we know that
To find out the unit rate, divide the total cost by the total weight
so
step 2
<em>Find out the unit rate of a travel size tube of toothpaste</em>
we know that
To find out the unit rate, divide the total cost by the total weight
so
step 3
Find out the percent of increase
we have that
The unit rate 
represent the 100%
so by proportion
Find out what percentage represent the difference ($0.83-$0.78=$0.05 per ounce)
therefore
The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy
<span>Let the height of tree be denoted as AB and the shadow cast by the tree be BE. ABE is the triangle formed the tree, rays and the ground. Let the height of the person be CD and the length of his shadow be DE. CDE is the triangle formed by the person, rays and the ground.
We have two triangles. Both the person and the tree stand vertically over the horizontal ground, therefore they make 90 degrees with the ground. The angle formed at the ground is the same for the both the triangles. Therefore, by AA similarity the two triangles are similar.
We know that if two triangles are similar, then their sides are proportional.
Therefore,
AB/CD =BE/DE
AB/6 = 143/11
AB= (143/11) *6
AB = 78 ft.</span>
