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3 years ago

Find the Volume of the shape below. V = yd³

Mathematics

1 answer:

Ganezh [65]3 years ago

3 0

Answer:

$v = \frac{b \times h \times l}{2} \\ \frac{12 \times 6 \times 14}{2} \\ = 504$

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A sandbox in the shape of a rectangular prism is 2 feet deep and 6 feet wide. Filled to the top it can hold 72 cubic feet of san

Sedbober [7]

Answer:

height=6 ft

Step-by-step explanation:

-The volume of a rectangular prism is given by the formula:

$V=lwh$

#We make h the subject of the formula the solve for it:

$V=lwh\\\\\frac{V}{lw}=h\\\\\therefore h=\frac{V}{lw}$

#Substitute to solve for height:

$h=\frac{V}{lw}\\\\=\frac{72}{2\times 6}\\\\=6\ ft$

Hence, the prism has a height of 6 ft.

6 0

3 years ago

What is the derivative of the following function? f(x) = 4x^6/cos^5(x)

KIM [24]

Answer:

$f'(x) = \frac{24x^{5} \cos x + 20x^{6}\sin x}{\cos^{6}x }$

Step-by-step explanation:

We have to find the derivative of the following function:

$f(x) = \frac{4x^{6} }{\cos^{5} x }$

Now, differentiating both sides with respect to x we get,

$f'(x) = \frac{\cos^{5}x (24x^{5}) - 4x^{6}(5\cos^{4}x )(- \sin x)}{(\cos^{5}x )^{2}}$

⇒ $f'(x) = \frac{ 24x^{5} \cos x + 20 x^{6}\sin x}{\cos^{6}x }$ (Answer)

{Since, we know that, $\frac{d(mx^{n} )}{dx} = m \times n x^{(n - 1)}$ and $\frac{d(\cos^{n} x)}{dx} = n \cos^{(n - 1)} x(- \sin x)$ }

5 0

3 years ago

a school bus traveled at an average speed of 35 miles per hour for 45 minutes . what distance did the school bus travel

rodikova [14]

45/60=0.75. Speed*time=distance. 35(0.75)= 26.25 miles

5 0

3 years ago

Read 2 more answers

MIDDLE SCHOOL MATH BRAINLEIST AND 5 STARS AS SOON AS YOU ANSWER!!!!!!!! PLEASE HELP AND THANKS SO MUCH IM SUPER GRATEFUL!!!!!!!!

antoniya [11.8K]

Answer:

1.76

Step-by-step explanation:

The formula is l x w x h

2 x 2.2 x 0.2 = 0.88

The prisms are the same so

0.88 + 0.88 = 1.76

7 0

3 years ago

A straight line has a slope of 2.08. Calculate the angle that the line makes with the x (horizontal) axis.

zubka84 [21]

Answer:

The angle that the line makes with x-axis of of 64.3º.

Step-by-step explanation:

Equation of a line, and angle with the x axis:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope.

The angle that the line makes with the x axis is given by the angle which has tangent m, that is, $a = \tan^{-1}{m}$ .

In this question:

We have that $m = 2.08$ . So

$a = \tan^{-1}{2.08} = 64.3$

The angle that the line makes with x-axis of of 64.3º.

4 0

3 years ago