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
What is the slope of line a? <br><br>​
emmainna [20.7K]
<h3>Answer:  -1/4  (choice C)</h3>

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

Explanation:

Start at the point (0,1). This is the y intercept, which is where the graph crosses the y axis.

Then move down 1 and over to the right 4 spaces. We arrive at (4,0) which is the x intercept.

The process of "down 1, over to the right 4" can be thought of like this

rise/run = -1/4

rise = -1

run = 4

A rise of -1 indicates we go down 1 unit

The run of 4 means we move to the right 4 units

So that's why slope = rise/run = -1/4

-------------------------------------------------------

Here's another approach using the slope formula:

m = (y2-y1)/(x2-x1)

m = (0-1)/(4-0)

m = -1/4

I used the two points (0,1) and (4,0) as (x1,y1) and (x2,y2) respectively. This formula basically says "subtract the y coordinates, subtract the x coordinates in the same order, then divide the differences y over x".

-------------------------------------------------------

Side note: The line moving downhill, as we read from left to right, indicates a negative slope.

5 0
2 years ago
What is the solution to -4|-2x+6| = -24
Arte-miy333 [17]
X = 0.  Since the absolute value of -2x+6 is 2x+6, the absolute value sign acts as () so it would be -4(2x+6) = -24.  That would come out to be           -8x -24 = -24.  Using proper algebra, the answer would come out to be 0
7 0
3 years ago
A restaurant needs to build a wheelchair ramp for its customers. The angle 2 of elevation for a ramp is recommended to be 5 degr
melomori [17]

Answer:

Step-by-step explanation:

An escalator at a shopping center is 200.75 feet long and rises at an angle of 15⁰. What is the vertical rise of the escalator? Round to hundredths place

3 0
2 years ago
One serving of Gooey Gushers provides 12% of the daily value of vitamin C. Tim ate 312 servings of Gooey Gushers.
Studentka2010 [4]

Answer:

a) Given expression,

12% of 312

Since 100% of 312 = 312

⇒ 10% of 312 = 31.2,

⇒ 1% = 3.12

⇒ 2% = 2 × 3.12 = 6.24

So, 12% of 312 = 10% of 312 + 2% of 312

= 31.2 + 6.24

= 37.44

b) Given,

Total number of servings = 312,

The percentage of vitamin C in each serving = 12%,

Thus, the total amount of the vitamin C in 312 servings = 12% of 312

=\frac{12\times 312}{100}

=\frac{3744}{100}

= 37.44,

Hence, the question can be asked about the total amount of the vitamin C.

6 0
3 years ago
Put in simplest form 8/15 × 5/6
algol13
8/15 x 5/6
•multiply across the numerator and denominator.

= 40/90
• then find a common factor that will go into both the numerator and denominator equally.

Common factor: 5

= 8/18
•there is another common factor, which is 2

Simplified:

=4/9
6 0
3 years ago
Other questions:
  • The point, (-4, 2) is a solution to the following system.<br> y&gt; 3x-2<br> y21<br> True<br> False
    15·2 answers
  • Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at lea
    15·1 answer
  • The width of a rectangle is 3 feet shorter than its length. The perimeter is 306 feet. Let x equal the length of the rectangle.
    15·1 answer
  • What are two factors that equal 400 and add up to 8?
    5·1 answer
  • If 1 and -1 are the zeroes of the polynomial p(x) = ax 3 + x 2 − 2x + b, find the values of a and b
    13·1 answer
  • Marc is sending his sister a parcel through the post. the parcel weighs 2.451kg. round this to 1 decimal place​
    12·1 answer
  • !!! PLEASE HELP RN !!! <br><br> 3 (4 + 5) - 12 + 2
    5·2 answers
  • -0.8(q - 0.5)= - 2.6 what is a
    12·1 answer
  • Please answer my question
    5·1 answer
  • Solve for x. 3(x−7)=6(x−10) Enter your answer in the box. x =
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!