A plastic box is 15.3 centimeters long 9.0 centimeters wide and 4.5 centimeters high what is its volume. includes units and your answer
Answers
Answer:
619.65 cm³
Step-by-step explanation:
V= L x w x h = 15,3 x 9.0 x 4.5 = 619.65 cm³
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3-5(x+4)=8(2x-3) how to solve this equation
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hope this helps!
Answers
The length and width of the rectangle is 12 feet and 5.5 feet respectively given that the area of a rectangle is 66 feet², and the length of the rectangle is 1 feet more than twice the width. This can be obtained by finding algebraic expression for length by assuming width to be b and solving the quadratic equation formed after substituting it in the formula of area of rectangle.
What is the formula of area of a rectangle?
Area of a rectangle,
A= l × b, where A is the area, l is the length and b is the width.
Find algebraic expression for length:
Let us assume that width of the rectangle is b.
Given that, length of the rectangle is 1 feet more than twice the width
⇒ l = 2b+1 is the required expression.
Calculate the length and width:
Given that A= 66 feet²
In the formula, A= l × b we can substitute the expression for length.
66=(2b+1)b
2b²+b=66
⇒ 2b²+b-66=0
The quadratic equation can be solved using splitting the middle term,
2b²+12b-11b-66=0
2b(b+6)-11(b+6)=0
(2b-11)(b+6)=0
b=11/2 or b= - 6
Taking positive value of b, b=11/2⇒b=5.5 feet
Substitute for length, l = 2b+1 = 2(11/2)+1=11+1 =12 ⇒l = 12 feet
Hence the length and width of the rectangle is 12 feet and 5.5 feet respectively given that the area of a rectangle is 66 feet², and the length of the rectangle is 1 feet more than twice the width.
Learn more about solving quadratic equation here:
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w = n
l = 2n+1
w*l = 66
n(2n+1) = 66
2n^2 + n =66
2n^2 + n - 66 = 0
using quadratic equation
n = 11/2
width = 11/2 = 5.5
length = 11 + 1 = 12
Answers
Principal: 19,200
term: 5 years
a) Interest compounded annually:
A = 19,200 (1 + 0.036)^5
A = 19,200 (1.036)^5
A = 19,200 (1.1934)
A = 22,913.28
b) Simple Interest
I = 19,200 * 0.038 * 5
I = 3,648.38
19,200 + 3,648.38 = 22,848.38
c) Interest compounded annually
A = 19,200 (1 + 0.034)^5
A = 19,200 (1.034)^5
A = 19,200 (1.182)
A = 22,694.40
d) Interest compounded quarterly
A = 19,200 (1 + 0.032/4)^4*5
A = 19,200 (1 + 0.008)^20
A = 19,200 (1.008)^20
A = 19,200 (1.173)
A = 22,521.60
Answers
But width = 4/5 x length
so 320 = length x 4/5length
Rearranged, 320 = 4/5(length)(length)
length x length = length^2
Divide both sides by 4/5
400 = (length)^2
Square root both sides
20 = length
So now you know the length, you can calculate the width.
Width = 4/5 x length
= 4/5 x 20
= 16
Length = 20ft, Width = 16ft
b) Arc AN =
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Answer:
a. x = 36
b. ∠(AN) = 144°
Step-by-step explanation:
All the angle in the circle should add up to 360°.
x + x + 4x + 4x = 360
2x + 8x = 360
10x = 360
x = 36
∠(AN) = 4x
∠(AN) = 4(36)
∠(AN) = 144°
a.
54°
b.
59°
c.
75°
d.
83°
Answers
The reason is because the shape is a Pentagon and the interior angles of a Pentagon are 540 degrees. So add up all the angles which are given to you and you subtract that answer by 540 and that gives you the end answer.