Answer:
148.5 meters^3
Step-by-step explanation:
The volume of a rectangular prism can be found using the following formula.
V=l*w*h
The length is 6 meters. The height is 4.5 meters. The width is 5.5 meters. Substitute these values into the formula.
V=6*5.5*4.5
Multiply all the values together
V=33*4.5
V=148.5
Add appropriate units. Volume uses units^3 and the units are meters.
V=148.5 meters^3
The volume of the rectangular prism is 148.5 cubic meters.
Answer: you just flip it. It would be the opposite.
Step-by-step explanation:
When you flip it, what’s the difference? It’s still the same.
Answer:
a = -2
b = 1
c = 5
Step-by-step explanation:
Given:
2a + 4b + c = 5 ............(1)
a - 4b = - 6
or
a = 4b - 6 .............(2)
2b + c = 7
or
c = 7 - 2b ...........(3)
substituting 2 and 3 in 1, we get
2(4b - 6 ) + 4b + (7 - 2b) = 5
or
8b - 12 + 4b + 7 - 2b = 5
or
10b - 5 = 5
or
b = 1
substituting b in 2, we get
a = 4(1) - 6
or
a = -2
substituting b in 3, we get
c = 7 - 2(1)
or
c = 5
thus,
a = -2
b = 1
c = 5
Answer:
145°
Step-by-step explanation:
There are a couple of ways you can get there:
1. ∠ACB is a right angle, 90°. Hence, ∠BAC is the complement of ∠ABC, so is ...
... ∠BAC = 90° -∠ABC = 90° -55° = 35°
Then, ∠BAC and ∠BAD are a linear pair, so total 180°. That makes ∠BAD the supplement of ∠BAC, so ...
... ∠BAD = 180° -35° = 145°
2. ∠BAD is the exterior angle at A for the triangle ABC. It will have a measure that is the sum of the opposite interior angles: given ∠ABC = 55° and right angle ACB = 90°.
... ∠BAD = 55° +90° = 145°
Step-by-step explanation:
x²+7x+12
x²+4x+3x+12
x(x+4)+3(x+4)
(x+3)(x+4)
hope it helps
