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Gnom [1K]
3 years ago
8

the volume of a box is represented by the roduct (x^2+5x+6) times (x+4). Give the polynomial that represents the length of the b

ox.
Mathematics
1 answer:
dimaraw [331]3 years ago
3 0

Answer:

Step-by-step explanation:

x²+5x+6=x²+3x+2x+6=x(x+3)+2(x+3)=(x+3)(x+2)

so Volume=(x+3)(x+2)(x+4)

V=lwh

one of the factors is the length.

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Twelve and three tenths more than five and thirteen thousandths of a number d is equal to fifteen and three hundred two thousand
Masja [62]
12 and 3/10 more than 5 and 13/1000 of d equals 15 and 302/1000
12 and 3/10+(5 and 13/1000 times d)=15 and 302/1000
convert to improper fractions
12 and 3/10=123/10
5 and 13/1000=5013/1000
15 and 302/1000=15302/1000

123/10+(5013/1000 times d)=15302/1000
subtract 123/10 from both sides
123/10=12300/1000
(15302-123000)/1000=2698/1000
5013/1000 times d=2698/1000
multiply both sides by 1000/5013 to clear fraction
d=2698/5013

7 0
3 years ago
The height of a triangle is 4 m less than it's base. The area of the triangle is 48m^2. Find the length of the base.
laila [671]
The answer is choice C.
6 0
3 years ago
Read 2 more answers
Nancy also has a mirror that measures 20.32 centimeters long. What is the length of Nancy’s mirror in inches?
tino4ka555 [31]

Answer:

C: 8.00

Step-by-step explanation:

1 in = 2.54 cm

l = 20.32 × 1/2.54

l = 8.00 in

The length of Nancy’s mirror is 8.00 in.

3 0
3 years ago
If alpha beta are the roots of the equation
Vikki [24]

Answer:

Step-by-step explanation:

Hello, I believe that we can consider a different from 0.

By definition of the roots we can write.

ax^2+bx+c=a(x-\alpha)(x-\beta)=a(x^2-(\alpha + \beta)x+\alpha \cdot \beta)\\\\\text{So we can say that:}\\\\\alpha + \beta = \dfrac{-b}{a}\\\\\alpha \cdot \beta=\dfrac{c}{a}\\\\\text{So the expected quadratic equation is}\\\\(x+\dfrac{b}{a})(x-\dfrac{c}{a})=0\\\\ \Large \boxed{\sf \bf \ (ax+b)(ax-c)=0 \ }

Thank you

8 0
3 years ago
Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side BC at point M
a_sh-v [17]

Answer:

16 mm  

Step-by-step explanation:

Since ABC is an equilateral triangle, all three sides are the same length.  The perimeter is found by adding together all of these equal sides; letting x represent the length of a side of the triangle, this gives us

x + x + x = 96

Combining like terms,

3x = 96

Dividing both sides by 3,

3x/3 = 96/3

x = 32

Since AM is a perpendicular bisector, it splits BC into two congruent sections. This means the length of MC, half of BC, will be 32/2 = 16.

3 0
3 years ago
Read 2 more answers
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