(3x+2) (x-7)
FOIL
first 3x*x = 3x^2
outer 3x*-7 = -21x
inner = 2*x = 2x
last 2*-7 = -14
add them together = 3x^2 -21x+2x -14
combine like terms 3x^2 -19x -14
Use trigonometry.
sinQ = 14/50 = 0.28
-> angle Q = sin^-1(0.28) = approx 16 degrees
-> cosQ = A/H -> cos16 = PQ/50
=> PQ = 50*cos16 = approx 48.06
So yea.
Answer:
622.27
Step-by-step explanation:
- $87.45 + (- $24.76) + (-17.29) = $-129.5
$143.87 + $348.90 = $492.77
492.77 - (-129.5) = 622.27
Answer:
x=
1/2
Step-by-step explanation:
6x+9=12
Step 1: Subtract 9 from both sides.
6x+9−9=12−9
6x=3
Step 2: Divide both sides by 6.
6x/6=
3
/6
And Your Answer Will Be:
x=
1/2
The volume of the resulting prism is 3.375 times of original volume.
<h3>
What is a dilation or scale factor?</h3>
The factor by which the dimensions of an object are enlarged is called the scale factor.
Let us take the base area of Prizm = a²
Height of the prism = h
Enlarged area = (scale factor)² * previous area
Enlarged area = 1.5²*a² = 2.25a²
Enlarged height = 1.5h
So, enlarged volume = enlarged area* enlarged height
Enlarged volume= 2.25a²*1.5h = 3.375a²h
Enlarged area/previous area = 3.375a²/a² = 3.375
Therefore, the volume of the resulting prism is 3.375 times of original volume.
To get more about dilation visit to:
brainly.com/question/10253650