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3 years ago

What is the surface area for this design?

Mathematics

1 answer:

Umnica [9.8K]3 years ago

8 0

Answer:

Surface Area = 157 in^2

Step-by-step explanation:

Surface area is the area of each side added together.

Front = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5

2 2

Back = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5 27.5

2 2 27.5

Right = Rectangle = l * w 6.4 * 5 = 32 32

Left = Rectangle = l * w 5 * 5 = 25 25

Bottom = Rectangle = l * w 9 * 5 = 45 45

Top = Rectangle = l * w 5 * 5 = 25 25

157 in^2

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A second particle, Q, also moves along the x-axis so that its velocity for 0 £ £t 4 is given by Q t cos 0.063 ( ) t 2 v t( ) = 4

Vladimir79 [104]

Answer:

The time interval when $V_Q(t) \geq 60$ is at $1.866 \leq t \leq 3.519$

The distance is 106.109 m

Step-by-step explanation:

The velocity of the second particle Q moving along the x-axis is :

$V_{Q}(t)=45\sqrt{t} cos(0.063 \ t^2)$

So ; the objective here is to find the time interval and the distance traveled by particle Q during the time interval.

We are also to that :

$V_Q(t) \geq 60$ between $0 \leq t \leq 4$

The schematic free body graphical representation of the above illustration was attached in the file below and the point when $V_Q(t) \geq 60$ is at 4 is obtained in the parabolic curve.

So, $V_Q(t) \geq 60$ is at $1.866 \leq t \leq 3.519$

Taking the integral of the time interval in order to determine the distance; we have:

distance = $\int\limits^{3.519}_{1.866} {V_Q(t)} \, dt$

= $\int\limits^{3.519}_{1.866} {45\sqrt{t} cos(0.063 \ t^2)} \, dt$

= By using the Scientific calculator notation;

distance = 106.109 m

4 0

3 years ago

Solve for A, need this done in under a half hour please ;-;

jasenka [17]

Answer:

x=30, and angle A equals 132°.

Step-by-step explanation:

Since the angles are alternate-interior, both angles A and B equal the same amount. To figure out the value of x, you'd need to set up your equation like this:

5x-18°=3x+42°

You would need to solve for x, which should equal to 30.

Once you get your x, you need to plug it in into the equation of angle A, which is 5x-18°:

5(30)-18°

150-18°

Angle A = 132°.

3 0

3 years ago

What is the answer to this maths watch question? Look at screenshot attached. Thank you.

forsale [732]

14-x=9

14=x+9

x=14-9

x=5

14+5=19

x+y=19

x-y=(-5)

Adding both equations,

We get,

x+y=19

x-y=(-5)

2x=14

x=7

x+y=19

7+y=19

y=12

3 0

2 years ago

Read 2 more answers

A book is in the shape of a right rectangular prism. It measures 8 1/2 inches tall, 7 inches wide, and 2 1/2 inches thick. What

Alenkasestr [34]

Hello!

The formula for volume of a rectangular prism is:

V = lwh

Let's convert the dimensions to decimals, and then use the formula to solve.

8 1/2 = 8.5 as a decimal.

7 = 7 as a decimal.

2 1/2 = 2.5 as a decimal.

Multiply:

V = 8.5 × 7 × 2.5

V = 59.5 × 2.5

V = 148.75

148.75 = 148 3/4 as a fraction because if you convert 3/4 to a decimal by dividing the numerator by the denominator, it equals 0.75.

ANSWER:

The volume of the book is 148 3/4 inches cubed.

6 0

3 years ago

Read 2 more answers

In terms of significant figures, when doing division and/or multiplication, the answer should reflect the number in the problem

frosja888 [35]

THE STATEMENT IS TRUE.

MULTIPLICATION AND DIVISION: When multiplying or dividing numbers, count the NUMBER OF SIGNIFICANT FIGURES. The answer cannot CONTAIN MORE SIGNIFICANT FIGURES THAN THE NUMBER BEING MULTIPLIED OR DIVIDED with the LEAST NUMBER OFSIGNIFICANT FIGURES.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

5 0

3 years ago