Matthew has 30 stamps in his collection. Matthew's father has 10 times stamps as Matthew. How many stamps does Matthew's father
1 answer:
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Answer:
Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.
Step-by-step explanation:
Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.
- A cuboid has 6 faces.
- A cuboid contains 8 vertices.
- A cuboid contains 12 edges .
- The total surface area of a cuboid is
= 2(length×breadth+breadth×height+length×height) square units
- The dimension of a cuboid is written as length×breadth×height.
- The volume is( length×breadth×height) cubic units
Given that the volume of the box is 192 cubic inches.
Let x inches be the width of the cuboid.
Since the length is twice as long as its width.
Then length = 2x inches
Again height is 2 inches longer than width.
Then height = (x+2) inches.
Therefore the volume of the cuboid is
cubic inches
cubic inches
cubic inches
According to the problem,
Therefore x=4
Since the all zeros of x²+6x+24 =0 is negative.
Therefore breadth = 4 inches
length=(2×4) inches=8 inches
and height = (4+2)inches = 6 inches.
Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.
Answer:
If AB = BA = I, then B is inverse of A and vice-versa.
Step-by-step explanation:
Given: AB = BA = I
To find: The relation between matrix A and B.
If AB = BA = I, then B is called the inverse matrix of A and is denoted by .
In that case, A is said to be invertible.
Also, if B is the inverse of A, then A is also the inverse of B.
Hence, the relation between A and B is that both are inverse of each other.
Answer:
given you are asked to simplify
Step-by-step explanation:
You have to multiply the numerator and denominator by the denominator's conjugate.
The conjugate of a+bi is a-bi.
When you multiply conjugates, you just have to multiply first and last.
(a+bi)(a-bi)
a^2-abi+abi-b^2i^2
a^2+0 -b^2(-1)
a^2+-b^2(-1)
a^2+b^2
See no need to use the whole foil method; the middle terms cancel.
So we are multiplying top and bottom of your fraction by (-3+4i):
So you will have to use the complete foil method for the numerator. Let's do that:
(-3+5i)(-3+4i)
First: (-3)(-3)=9
Outer:: (-3)(4i)=-12i
Inner: (5i)(-3)=-15i
Last: (5i)(4i)=20i^2=20(-1)=-20
--------------------------------------------Combine like terms:
9-20-12i-15i
Simplify:
-11-27i
Now the bottom (-3-4i)(-3+4i):
F(OI)L (we are skipping OI)
First:-3(-3)=9
Last: -4i(4i)=-16i^2=-16(-1)=16
---------------------------------------------Combine like terms:
9+16=25
So our answer is