A crate has the shape of a rectangular prism. The area of the base of the crate is 252 square inches. The length of the crate is 4 inches greater than the width. The height is 2 inches less than the width.What is the volume of the crate in cubic inches?
Answers
Answer:
3024 in^3
Step-by-step explanation:
let width=x
length=x+4
height=x-2
A=W×L
252=(x)(x+4)
252=x^2 +4x
0=x^2 +4x -252
use quadratic formula
x=14
W=14
L=18
H=12
V=W×L×H
V=(14)(18)(12)
V=3024 in^3
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Jolly measured the cake. Then she calculated that it has a circumference of 15cm. what is the cake's diameter? Use 3.14 for pi.Will mark brainlest.
Answers
Answer:
angle M = 60
angle Q = 70
Step-by-step explanation:
M 180/3 = 60
Q 180-40 = 140/2 = 70
Answers
In order to find the measure of angle AOC, let's start looking at point A.
Point A is in position 180, if we look in the upper numbers, and in position 0, if we look in the lower numbers.
Since it's easier to find the angle if one vertex is at position 0, let's consider position 0° for A.
Then, looking at point C, it is in position 130° in the upper numbers and 50° in the lower numbers.
Since we choose the lower numbers for A, we need to do the same for C.
Therefore A is in position 0° and C is in position 50°.
To find angle AOC, let's subtract both measurements/positions:
Therefore angle AOC measures 50°, and the correct option is C.
Answers
Answer:
-60
hope it helps
Answers
The state will issue 4,56,97,354 plates
What is exponents and powers?
When anumber is multiplied by itself a finite number of times, the number being multiplied is called the base number, and the number of times it is being multiplied is called the exponent. Suppose a number is being multiplied by itself n number of times, then this expression is called the nth power of the given number.
- An exponent is the number of times a given number is being multiplied by itself.
- The expression when a number is being multiplied by itself n number of times is called the nth power of the given number.
Given:
Number of letters = 4
Number of numerals = 3
As 246 letter arrangements are not allowed.
So, we have total 26 letters.
and numbers from 0 to 9.
So, the number of plates will be
= 26*26*26*26*10*10
=(26)^4 * (10)^2
= 45697600
Now, deducted those 246 letter arrangements which are not allowed
= 45697600 - 246
= 4,56,97,354
Hence, the state will issue 4,56,97,354 plates.
Learn more about this concept here:
#SPJ2
Answers
Answer: -5, 6
Step-by-step explanation:
(a) How many gallons does each tower contain after 5
minutes? Show your work.
Answers
9514 1404 393
Answer:
- Tower #1: 1550 gallons
- Tower #2: 670 gallons
Step-by-step explanation:
After 5 minutes, the amount of water that has flowed is ...
(20 gal/min)(5 min) = 100 gal
That amount has flowed out of Tower #1, so it now has ...
1650 -100 = 1550 . . . gallons in Tower #1
That amount has flowed into Tower #2, so it now has ...
570 +100 = 670 . . . gallons in Tower #2