Answer:
2x+12=22
Step-by-step explanation:
the side we don't know is x and there are 2 and there are 2 lengths the same in a rectangle. we know one of them and it is 6 so we do 6 x 2 which is 12.
Hey so yeah this can be a challenging problem, Vol (V) is much easier to solve than surface area (SA), but I'll show you how it's done, my friend.
First of all, V (prism) = area of base (B) × h
We know that the height (h) of this prism is given, which we'll need later on: h = 5 ft, and area of base (B) is given as 60 ft2
So V = 60 ft2 × 5 ft = 300 ft3
So now for the hard part... how to calculate the SA of this prism
IF YOU DON'T NEED SA FOR THIS TYPE OF PROBLEM, DO NOT PROCEED!!!
[VERY DETAILED]
means solving the dimensions (sides) of that pesky polygon base (B) or lid.
The most important things about polygons are:
1) is it regular (same angle ° and side length)??
2) How many sides or angles??
This has to be regular, because they give you no other info so it has to be, in order to solve. And then it has 5 sides and angles = regular pentagon. ("penta" means 5).
Now there are 360° in any circle, so:
take the central angles of where the sides meet at the center forming triangles (see drawing above), each of those (5) central <'s = 360/5 = 72°
Now the apex of each of these triangles = 72°
but with our 5 triangles, we need to find the height of each triangle -- which is the midpoint of the side (base (b) of triangle), and h is perpendicular to this b. By bisecting that apex angle of 72, it forms 2 equal right triangles of
72/2 = 36°. So each right triangle has 36, 90, and?? 180-36-90 = 90-36 = 54°
let's call the base (b) = 1 side of pentagon
= side (s)
Therefore (see 2nd image drawn above) tangent (tan) of € = opposite/adjacent, or
tan (54) = h÷1/2b --> h = [tan (54)]×(1/2)b
1/2b = h/[tan (54)] = h/1.38
Also the area of each of the larger 5 triangles A(t) = 1/2b×h, and that area A(t) × 5 = area of whole pentagon base A(B)
So now after all that... our A(B) given at beginning = 60ft2. let's put it all together:
1/2b = h/[tan (54)] = h/1.38
A(t) = 1/2b×h, and A(B) = 5×A(t)
which means that A(B) = 5×(1/2b×h)
AND since the other calculation shows that 1/2b = h/1.38, plug that value into the A(B) formula...
.
.
.
now that we have height (h) of each triangle, we can go back to our tan equation for the triangle: tan (54) = 1.38 = h/(1/2b)
--> 1/2×b = h/1.38 --> base (b) = 2h/1.38
b = 2(4.06 ft)/1.38 = 8.12 ft/1.38 = 5.90 ft, for which b us also the width of each rectangular side panel (w)
length (l) of these sides was given as height of the whole prism = 5 ft
NOW FINALLY... THE FINAL SURFACE AREA OF THE PRISM (SA) = (2×A(B)) + (5×rectangular side)
SA = (2×60 ft2) + (5×(l×w)) = 120 ft2 + 5×5ft×5.9ft
SA = 120 ft2 + 147.62 ft2 = 267.62 ft2
Answer:
$25.20
Step-by-step explanation:
10%= 2.4 because you divide 24 by 10
So 5%= half 2.4= 1.2
24+1.2=25.20
Answer:
Step-by-step explanation:
Numer 1: The answer to this problem is 4 pounds
Numer 2: 13 cups
Explanation:
Four jars of sauce with 26 oz would be a total of 104 ounces
4 x 26 = 104
1 cup contains 8 ounces.
104 oz x 
=13 cups
Numer 3: Since, 1 quartz = 33.307 ounces ( approx )
⇒ 3 quartz = 99.921 ounces
If the total number of players = 16,
And, the given fluid is divided equally among these players,
Then the total quantity of fluid each player get
=
=6.24505625= 6.245
Hence, each player will get around 6.245 ounces of the drink.
Number 4:
36 inches or 3 feet is the correct answer
Number 5 ;
The correct answer for the question that is being presented above is this one: "10 pounds." An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in the case. If each box of pencils weighs 2.5 ounces, then...
There are:
64 boxes of pencils
1 box weighs 2.5 ounces
Find its total weight in pounds.
1 ounce = 0.0625 pounds
64 boxes * 2.5 ounces = 160 ounces
160 ounces * 0.0625 pounds/1 oz = 10 pounds.
The 64 boxes of pencils weigh 10 pounds.
Answer:
Step-by-step explanation:
A rectangular prism is also know as a cuboid.
The dimensions of the rectangular prism shaped bath tub are 5½ ft * 2½ ft * 2¾ ft.
The volume of a cuboid (rectangular prism) is given as:
V = L * B * H
Hence, the volume of the bath tub is:
V = 5½ * 2½ * 2¾
V = 11/2 * 5/2 * 11/4
V = 605 / 16 =
The volume of the bath tub is
