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
grin007 [14]
3 years ago
15

Question 1(Multiple Choice Worth 2 points)

Mathematics
2 answers:
adelina 88 [10]3 years ago
8 0

Answer:

1.

2.

3.

4.

5., \sqrt{73}

6.132.47 pounds at 121.87°

Step-by-step explanation:

<u>Question 1</u>

Find 4u and 3v seperately by simply multiplying the constant with each part of the vector:

4u = <28,-12>

3v = <-27,15>

Then, 4u - 3v =  <55,-27>

<u>Question 2</u>

Add the two vectors together:

u + v = <-3-3,-5+1>

u + v = <-6,-4>

<u>Question 3</u>

Consider vector u as a triangle of which the short sides have lengths of 3 and 4. Using Pythagoras, the length of the vector(the hypotenuse of the triangle) can be calculated as 5. A unit vector has a length of 1 along its hypotenuse. To convert the vector to a unit vector, everything has to be divided by five.

u=

<u>Question 4</u>

Multiply both components of the vector by 8:

8u=

<u>Question 5</u>

Vector PQ has two end points, P=(5,9) and Q=(13,12)

The vector is basically a line drawn between the two points

Thus, the lengths in both the x and y direction can be found by subtracting one from the other:

PQ=<13-5,12-9>

PQ=<8,3>

The magnitude is considered as the hypotenuse of a traingle with short sides of 8 and 3. Using Pythagoras the magnitude can be solved:

L_{pq}^{2} = 8^{2} + 3^{2} \\L_{pq}^{2} = 73\\L_{pq} = \sqrt{73}

<u>Question 6</u>

See attached image.

y_{2} =-150sin(30)=-75\\x_{2} =-150cos(30)=-129.9\\y_{1} =-75sin(30)=-37.5\\x_{1} =75cos(30)=64.95\\\\F_{1}+F_{2}  =\\\\F_{mag} =\sqrt{64.95^{2} +112.5^{2} } \\F_{mag}=132.47\\sin(\alpha )=\frac{112.5}{132.47} \\\alpha =58.13^{o} \\\\180-58.13=121.87^{o}

TEA [102]3 years ago
6 0

Answer:

(55,-23)

Step-by-step explanation:

You multitiply it and then divied it by that number.

You might be interested in
In the circle below, DB = 22 cm, and m&lt;DBC = 60°. Find BC. Ignore my handwriting.​
Karo-lina-s [1.5K]

Answer:

BC=11\ cm

Step-by-step explanation:

step 1

Find the measure of the arc DC

we know that

The inscribed angle measures half of the arc comprising

m\angle DBC=\frac{1}{2}[arc\ DC]

substitute the values

60\°=\frac{1}{2}[arc\ DC]

120\°=arc\ DC

arc\ DC=120\°

step 2

Find the measure of arc BC

we know that

arc\ DC+arc\ BC=180\° ----> because the diameter BD divide the circle into two equal parts

120\°+arc\ BC=180\°

arc\ BC=180\°-120\°=60\°

step 3

Find the measure of angle BDC

we know that

The inscribed angle measures half of the arc comprising

m\angle BDC=\frac{1}{2}[arc\ BC]

substitute the values

m\angle BDC=\frac{1}{2}[60\°]

m\angle BDC=30\°

therefore

The triangle DBC is a right triangle ---> 60°-30°-90°

step 4

Find the measure of BC

we know that

In the right triangle DBC

sin(\angle BDC)=BC/BD

BC=(BD)sin(\angle BDC)

substitute the values

BC=(22)sin(30\°)=11\ cm

6 0
3 years ago
What’s 3 times 6 over 7 **MULTIPLY
Amanda [17]

Would it be 2.5??? I think it would but not completely sure

7 0
3 years ago
Read 2 more answers
18. You are standing beside the Colorado River, 400 feet
Veseljchak [2.6K]
<h3>Answer: B. 781.6 feet approximately</h3>

=======================================================

Work Shown:

The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965

Use the pythagorean theorem

a^2+b^2 = c^2

566^2+x^2 = 965^2

x^2 = 965^2 - 566^2

x = sqrt( 965^2 - 566^2 )

x = 781.58108984289 which is approximate

x = 781.6 feet when rounding to one decimal place

6 0
3 years ago
A quarter back is sacked for loss of 5 yards. Then the team gains 12 yards. What integer can be used to explain the net gain or
bonufazy [111]
The integer is obviously 12
7 0
3 years ago
What is the y intercept of the line 2x + 3y - 9 = 0
Sindrei [870]
\hbox{y-intercept: } x=0 \\&#10;2 \times 0+3 y -9=0 \\&#10;3y-9=0 \\&#10;3y=9 \\&#10;y=\frac{9}{3} \\&#10;\boxed{y=3}
4 0
3 years ago
Other questions:
  • HURRY PLEASE HELPPPPPPP
    10·1 answer
  • Need help finding X​
    8·2 answers
  • Farmer John sells a dozen of eggs for $1.56. What is the unit cost per egg?
    7·2 answers
  • A water tank holds 18,000 gallons. How long will it take for the water level to reach 6,000 gallons if the water is used at an a
    9·1 answer
  • Each of 8 students reported the number of movies they saw in the past year. This is what they reported: 16, 12, 13, 14, 19, 13,
    6·2 answers
  • Log4(7t+2)=2 can someone help me with this? I got it wrong and I do not know why or how to do this.
    8·1 answer
  • 4x - 5 = 7 solve for X
    9·2 answers
  • Please help!
    14·1 answer
  • What is 64 divisible by?​
    5·1 answer
  • Angle larger than 90 degrees but less than 180?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!