1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bekas [8.4K]
2 years ago
6

Find the volume of the prism. 13ft 7ft

Mathematics
1 answer:
madreJ [45]2 years ago
5 0

Answer:

the volume of the prism is <em>VOL</em><em>UME</em><em>=</em><em>BASE</em><em>*</em><em>HEI</em><em>GHT</em>

Step-by-step explanation:

SO it's ,

13*7=91ft

You might be interested in
The diagram below shows the dimensions of two identical rectangular prisms joined together. What is the combined volume of the t
ale4655 [162]

Answer:

1100

Step-by-step explanation:

(5)(11)(10)=550

repeat and add

6 0
2 years ago
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the d
nikdorinn [45]

Answer:

R = 7,34 km

Ф = 63,43° north of east

Step-by-step explanation:

Let´s analyze each movement and find its perpendicular components. Then, we are going to add the components along the x and y axes to get the resultant and finally to calculate its magnitude and direction.

To determine the perpendicular components, we will use right triangles trigonometrics ratios.

Please see images for each displacement in attached file.

  • <u>Displacement A: 2.50 km and 45° north of west</u>

Ax= AcosФ = 2.50cos45° = 1.77 km (neg. direction)

Ay= AsenФ = 2.50sen45° = 1.77 km (pos. direction)

  • <u>Displacement B: 4.70 km and 60° south of east</u>

Bx= BcosФ = 4.70cos60° = 2,35 km (pos. direction)

By= BsenФ = 4.70sen60° = 4,07 km (neg. direction)

  • <u>Displacement C: 1.30 km and 25° south of west </u>

Cx= CcosФ = 1.30cos25° = 1,18 km (neg. direction)

Cy= CsenФ = 1.30sen25° = 0.55 km (neg. direction)

  • <u>Displacement D: 5.10 km due east (0°)</u>

Dx= DcosФ = 5.10 km (pos. direction)

Dy= DsenФ = 0 km

  • <u>Displacement E: 1.70 km and 5° east of north</u>

Ex= EsenФ = 1.70sen5° = 0,15 km (pos. direction)

Ey= EcosФ = 1.70cos5° = 1.69 km (pos. direction)

  • <u>Displacement F: 7.20 km and 55° south of west</u>

Fx= FcosФ = 7.20cos55° = 4.13 km (neg. direction)

Fy= FsenФ = 7.20sen55° = 5.90 km (neg. direction)

  • Displacement G: 2.80 km and 10° north of east

Gx= GcosФ = 2.80cos10° = 2.76 km (pos. direction)

Gy= GsenФ = 2.80sen10° = 0.49 km (pos. direction)

Now, we add the components along the x- and y- axis to find the components of the resultant (R):

Rx = Ax + Bx + Cx + Dx + Ex + Fx + Gx

Ry = Ay + By + Cy + Dy + Ey + Fy + Gy

Therefore,

Rx= (-1.77)+(2.35)+(-1.18)+(5.10)+(0.15)+(-4.13)+(2.76)

Ry= (1.77)+(-4.07)+(-0.55)+(0)+(1.69)+(-5.90)+(0.49)

<em>Note: minus (-) symbol to negative directions</em>

Rx = 3.28 km

Ry = - 6.57 km

Let´s use the Theorem of Pythagoras to find the magnitud ot the resultant:

R = \sqrt{Rx^{2} +Ry^{2} }

R =\sqrt{(3.28)^{2}+(-6.57)^{2} }

R = 7,34 km

To find the direction of the resultant:

tanФ = \frac{Ry}{Rx}

tanФ = \frac{6.57}{3.28}

tanФ = 2.00

Ф = tan-1 (2.00)

Ф = 63,43° north of east

Download pdf
3 0
3 years ago
What is 6 divided by 2
Pani-rosa [81]
Answer: 3
To check:
2 * 3 = 6
7 0
3 years ago
Read 2 more answers
Find the slope <br> The slope is —-??,
Darya [45]

Answer:

The slope is undefined.

Step-by-step explanation:

All vertical segments are undefined. All horizontal segments are 0.  

7 0
2 years ago
Read 2 more answers
M is directly proportional to r3<br>When r = 4, M = 160<br>a) Work out the value of M when r = 2.​
Natali [406]

Answer:

M = 20

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, that is

160 = k × 4³ = 64k (divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of proportion

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the coordinate of the midpoint of GH with endpoints G(-5,4) and H (-5,8)
    5·1 answer
  • The price of a lawn mower is x dollars. The store is having a 75% end of summer clearance sale. Which expression can be used to
    8·2 answers
  • Someone please help me
    12·2 answers
  • i need a answer quickly! solve the division problem using a model a boy scout has 3 meters of rope ​he cuts the rope into cords
    11·1 answer
  • Need help! 20 points!<br> No links please
    7·1 answer
  • A boy spent 2/7 of his pocket money on transport and 1/5 on sweet. if he left with 20. what is the amount of money in the boys p
    13·1 answer
  • How does the shape of the parabola change when you move the focus toward the vertex?
    10·2 answers
  • Please help with 3 thank you!
    5·1 answer
  • {[8-3)×2]+[(5×6)-5]}÷5​
    9·1 answer
  • Hey can someone help me
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!