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
aivan3 [116]
3 years ago
10

The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum?

Mathematics
2 answers:
Serjik [45]3 years ago
6 0

Answer:

2√5

Step-by-step explanation:

Using the formula for calculating resultant

R = √Fx + Fy

\sum Fx = -2sin 45 + 4 cos 45

\sum Fx =  2cos45

\sum Fx = 2(1/√2)

\sum Fx   = 2/√2

Similarly;

\sum Fy = 2 cos 45 + 4 sin45

\sum Fx  = 2(1/√2) + 4(1/√2)

\sum Fx = 6/√2

Magnitude = √(2/√2)²+6/√2)²

Magnitude = √4/2 + 36/2

Magnitude = √2+18

Magnitude = √20

Magnitude = 2√5

Hence the magnitude of their sum is 2√5

Allisa [31]3 years ago
3 0

Answer:

2√5

Step-by-step explanation:

You might be interested in
Anna's math test grade was 7 points less than her science test grade. The average grade was 91.5%. What did she get on each test
denis23 [38]

Answer:

84.5%

Step-by-step explanation:

6 0
3 years ago
Two stands at a craft fair sell cone-shaped candles. They are made by pouring wax into a mold. Booth A sells a candle with a rad
frez [133]
In order to compare the amount of wax, you have to calculate the volume of both candles.

Candle of booth A = πr² h/3
A = π * 4² * 6/3
A = π * 16 * 2
A = 32π

Now, Candle of Booth B = π * 5² * 5/3
B = π * 25 * 5/3
B = 41.6π

In short, Booth B sells the candle with more wax.

Hope this helps!
6 0
3 years ago
A rectangular pyramid measures three feet by four feet at the base, and has a height of seven feet. Find its volume. A. 21 ft3 B
sweet-ann [11.9K]

Answer:

C. 28 ft³

Step-by-step explanation:

The general formula for the volume of a pyramid:

V = \frac{1}{3}Bh, where B = the area of the base and h = height of the pyramid

Since the base is a rectangle, we can find area using the formula:

A = l x w or A = 3 x 4 = 12 ft²

Using B = 12 and h = 7:

V = \frac{(12)(7)}{3}

V = 28 ft³

3 0
3 years ago
Winter is coming, so Sasha decides to buy new outdoor gear. She has a coupon good for 25% off. She buys a coat with an original
Gemiola [76]

Answer:

B. boots

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Diane has a rope that is 8 meters long. She cuts away a piece that is 1.67 meters long. How long is the remaining piece of rope?
Readme [11.4K]

Answer:

6.33 m

Step-by-step explanation:

Total length of the rope = 8 m

Cut length of the rope = 1.67 m

We need to find the remaining piece of the rope.

Remaining piece = Total length - cur length

= 8 m - 1.67 m

= 6.33 m

So, 6.33 m is the remaining piece of the rope.

3 0
3 years ago
Other questions:
  • Approximate √52 to the tenths place
    15·2 answers
  • What is the answer to y=x+2
    11·1 answer
  • Convert 150K to C degrees
    11·2 answers
  • The surface area of the rectangular prism can be found using the expression 6x exponent 3 + 4x exponent 2 + 12x. if the value of
    11·1 answer
  • What is the area of the parallelogram?​
    9·2 answers
  • What’s the value of X?
    7·1 answer
  • Myles said that 5x0.13 is 6.5. Do you agree? Explain
    13·1 answer
  • If the width of the rectangle is three times the lengthAnd a perimeter is 72 feet What are the length and width of the rectang
    7·1 answer
  • Natalia paid $38.95 for three medium-sized pizzas and a salad. if Natalia paid $11.98 for the salad, which equation can be used
    11·2 answers
  • <img src="https://tex.z-dn.net/?f=9%20%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B4%7D%2012" id="TexFormula1" title="9 \times \frac{3}{4
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!