Answer:
D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
its b on ed 2020
Answer:
Parallel
Step-by-step explanation:
orthogonal: dot product of u times v= 0 degrees
utimesv= 7x21+2x6=147+12=159
Parallel: cos (u,v)=1
cos (u,v)=(u·v)/ IuI·IvI
cos (u,v)= 159/ (sqrt 7^2+2^2)·(sqrt 21^2 +6^2)
159/(sqrt 49+4) ·(sqrt 441+36)
159/(sqrt 53)·(sqrt 477)=
159/159
=1; therefore it is parallel
B. A cube with side lengths of 3 feet has a volume of 27 cubic feet.
C. 3 sides of the cube have a total length of 27 feet.
D. 3 of these cubes will have a total volume of 27 cubic feet.
we know that
The volume of a cube is equal to
where
s is the length side of the cube
In this problem we have
The volume is equal to
therefore
the answer is the option B
A cube with side lengths of 3 feet has a volume of 27 cubic feet
The height of the office building is 99.2 meters
The given parameters are:
The above parameters can be represented using the following equivalent ratio
Express as fraction
So, we have:
Multiply both sides by 170
Rewrite as:
Hence, the building is 99.2 meters tall
Read more about equivalent ratios at:
Answer:
99.17m
Step-by-step explanation:
In the diagram, Marquis is at Point A and the flag pole is length DE, the building is of length BC.
Triangles ADE and ABC are therefore similar right triangles.
Applying this,
[TeX]\frac{|DE|}{|AE|}=\frac{|BC|}{|AC|}[/TeX]
[TeX]\frac{35}{60}=\frac{|BC|}{170}[/TeX]
|BC|=170*35÷60
|BC|=99.17m
Answer: 3.47
Step-by-step explanation:
Absolute value is distance from zero.
$984.58
b.
$4,280.00
c.
$11,815.00
d.
$14,417.92
A) 2x+10
B) 5x-15
C) 8x+6
D) 12x-8
Factorization of an algebraic expression means to write the given expression as a product of its factors.
The factorized form are:
A) 2x+10 = 2 ( x + 5 )
B) 5x-15 = 5 ( x - 3 )
C) 8x+6 = 2 ( 4x + 3 )
D) 12x-8 = 4 ( 3x - 2 )
Factorization of an algebraic expression means to write the given expression as a product of its factors.
These factors can be numbers, variables, or algebraic expressions.
We have,
A) 2x + 10
we have a common factor of 2.
= 2x + 10
= 2 ( x + 5 )
B) 5x - 15
We have a common factor of 5.
= 5x - 15
= 5 ( x - 3 )
C) 8x + 6
We have a common factor of 2.
= 8x + 6
= 2 ( 4x + 3 )
D) 12x - 8
We have a common factor of 4.
= 12x - 8
= 4 ( 3x - 2 )
Thus the factorized form are:
A) 2x+10 = 2 ( x + 5 )
B) 5x-15 = 5 ( x - 3 )
C) 8x+6 = 2 ( 4x + 3 )
D) 12x-8 = 4 ( 3x - 2 )
Learn more about factorization here:
#SPJ2
Step-by-step explanation:
A .2x+10
2(x+5)
B. 5x-15
5(x-3)
C. 8x+6
2(4x+3)
D. 12x-8
4(3x-2)