Answer:
a) x = -10
b) x = 7
Step-by-step explanation:
a)
2(x + 3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
x = -10
b)
4(5x - 2) = 2(9x + 3)
20x - 8 = 18x + 6
20x - 18x = 6 + 8
2x = 14
x = 7
Answer:
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct
Step-by-step explanation:
step 1
Find the area of the base of the rectangular pyramid
we know that
The volume of the rectangular pyramid is equal to
where
B is the area of the base
H is the height of the pyramid
we have
substitute and solve for B
step 2
Find the volume of the rectangular prism with the same base area and height
we know that
The volume of the rectangular prism is equal to
we have
substitute
therefore
The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct
Answer:
RS 14400
Step-by-step explanation:
Given the following :
Principal sum = RS 40000
Rate = 2 paisa per 2 rupee per month
Interest at the end of 3 years
1 rupee = 100 paisa
2 Paisa per 2 rupee per month :
2/200 per month = 1 / 100 per month,
Hence rate = 0.01 = 1% monthly
Annual rate = 1% × 12 = 12 % = 0.12
Simple interest :
Principal × rate × time
40000 × 0.12 × 3
40000 × 0.36
= RS 14,400
Answer:
5 units
Step-by-step explanation:
±√(- 2 - 1)^2 + (- 1 - 3)^2 = ±5 (rej - 5 since distance > 0)
Apply distance formula
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Based on the above:
The slope of P'Q' is = -3/2
The length of P'Q' is approximately =
<h3>What is the polygon about?</h3>
The slope of P'Q'
= -6/4 = -3/2
The length of P'Q' =
P'Q' =
=
=
Therefore;
P'Q' =
P'Q' = x
=
Learn more about polygon from
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