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zloy xaker [14]
1 year ago
11

If a rectangle has a length of 5in, a width of 4in, and a height of 8in.Evaluate the volume using the formula: V=LWH 20 inches c

ubedO 40 inches cubed60 inches cubed0 160 inches cubed
Mathematics
1 answer:
ozzi1 year ago
5 0

Substitute the numbers in the equation:

V=LWH

Since L=5in, W=4in and H=8in:

\begin{gathered} V=(5in)(4in)(8in) \\ =160in^3 \end{gathered}

Therefore, the volume is equal to 160 inches cubed.

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Simply the expression (x^3/2)^6
qaws [65]

Answer:

x**9

Step-by-step explanation:

(x**3/2)**6 = x**18/2 = x**9

6 0
2 years ago
A factory makes rectangular sheets of cardboard, each with an area of 2 1 2square feet. Each sheet of cardboard can be cut into
hodyreva [135]

Answer:

2 1/7 pieces

Step-by-step explanation:

A factory makes rectangular sheets of cardboard, each with an area 2 1/2 square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 1/6 square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?

Each sheet of cardboard = 2 1/2 square feet

Each smaller pieces of cardboard = 1 1/6 square feet

Number of smaller pieces of cardboard per sheet of cardboard = Each sheet of cardboard ÷

Each smaller pieces of cardboard

= 2 1/2 square feet ÷ 1 1/6 square feet

= 5/2 ÷ 7/6

= 5/2 × 6/7

= (5*6) / (2*7)

= 30/14

= 15/7

= 2 1/7 pieces

Number of smaller pieces of cardboard per sheet of cardboard = 2 1/7 pieces

6 0
3 years ago
Find the solution of the differential equation that satisfies the given initial condition. dy/dx=x/y , y(0)=-1
Charra [1.4K]

Separating variables, we have

\dfrac{dy}{dx} = \dfrac xy \implies y\,dy = x\,dx

Integrate both sides.

\displaystyle \int y\,dy = \int x\,dx

\dfrac12 y^2 = \dfrac12 x^2 + C

Given that y(0)=-1, we find

\dfrac12 (-1)^2 = \dfrac12 0^2 + C \implies C = \dfrac12

Then the particular solution is

\dfrac12 y^2 = \dfrac12 x^2 + \dfrac12

y^2 = x^2 + 1

y = \pm\sqrt{x^2 + 1}

and because y(0)=-1, we take the negative solution to accommodate this initial value.

\boxed{y(x) = -\sqrt{x^2+1}}

7 0
2 years ago
(Help!!!!!PLEASE!!!!!) The circumference of circle A is four times the circumference of circle B. Which statement about the area
lyudmila [28]

Answer:

B

Step-by-step explanation:

3 0
2 years ago
Please help me with these?? Work needs to be shown.
Y_Kistochka [10]

Answer:

Step-by-step explanation:

7) Area = 615.75 sq. km

πr² = 615.75

3.14*r² = 615.75

r² = 615.75/3.14 = 196

r = √196

r = 14 km

8) circumference = 15.71 yards

πd = 15.71

3.14*d = 15.71

d = 15.71/3.14  = 5 yards

9)Area = 415.48 sq.inches

πr² = 415.48

3.14*r² = 415.48

r² = 415.48/3.14 =  132.31

r = √132.31

r = 11.5 inches

diameter = 11.5*2 = 23 inches

8 0
3 years ago
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