Consider vectors u = ⟨2, 1⟩ and v = ⟨4, –1⟩ with the angle between them equal to 40°. What are the scalar projections uv and vu?
a) uv = 1.33 and vu = 1.33
b) uv = 1.33 and vu = 3.16
c) uv = 1.71 and vu = 1.33
d) uv = 1.71 and vu = 3.16
Answer:
D. uv = 1.71 and vu = 3.16
Step-by-step explanation:
The scalar projections are uv = 1.71 and vu = 3.16
The correct option is (D)
What is meant by scalar projection?The definition of scalar projection is the length of the vector projection.
Given: u = ⟨2, 1⟩, = ⟨4, –1⟩, and θ = 40°
Proj u_v = |u| cosθ
= 2.25 * cos 40
= 2.25 * 0.7660
=1.72
and, Proj v_u = |v| cosθ
= 4.123 * cos 40
= 4.123 * 0.7660
= 3.16
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Find the measure of each interior angle of A ABC, where m m Fill in the blanks: m ,,m ____,m
The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if it had a bill of $71.80? 479 645 454 312
Answer:
The answer is 312.
Step-by-step explanation:
Because you would start with 71.80 minus 25 to get 46.8 then do 46.8 divided by 0.15 to get 312.
Answer:
312
Step-by-step explanation:
can a pentagon have interior angles that measure 120°, 105°, 65°, and 95°? explain.
Answer:
No
Step-by-step explanation:
because firstly, pentagon is five sided figure and secondly, the sum of interior angled of a pentagon is 540°
No, the given angles can not be the measure of the pentagon angles.
What is the pentagon?A pentagon is a polygon having five sides connected to each other to form a closed figure. The sum of the angles of the pentagon is equal to 540 degrees.
Given angles are 120°, 105°, 65°, and 95°. Here as we know that the pentagon is a polygon having five sides. The number of angles formed by all the sides of the pentagon is also five.
Here we have only four angles that are 120°, 105°, 65°, and 95°. But to form a pentagon there must be five angles and the sum of the angles should be 540 degrees.
Therefore, the given angles can not be the measure of the pentagon angles.
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The diagram shows a triangle.
3a
95°
34°
What is the value of a?
3. Simplify 315-217+45 - 28 . (1 point)
2/12
O 212
O 615-417
6/10 -4114
The answer might be (45/29).
Beth cooks 2 pounds of pasta. She serves 5 pound of pasta on each plate.
What is the total number of plates Beth serves with the 2 pounds of pasta?
Answer:
2/5
Step-by-step explanation:
The earth spins 360 degrees about its axis in 24h. How many degrees does it spin in 10h?
Answer:
150
Step-by-step explanation:
To figure out how far it turns in one hour divide 360 and 24= 15, now to find out how much it turns in 10 hours multiply 10x15=150
please answer i need it quick
Answer:
Step-by-step explanation:
3x^4+2x^3
Find the rate of change of the following table.
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The rate of change is measured by the slope of the line in this linear table.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{3}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (3, 2) ← 2 ordered pairs from the table
m = [tex]\frac{2-0}{3+3}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex] ← rate of change
Parellel lines it says 75 degrees and on another line it says 11x-2 what's the answer?
Answer:
x = 7
Step-by-step explanation:
Parallel lines so their the same
11x - 2 = 75
add 2 to both sides
11x = 77
divide both signs with 11
x = 7
Answer:
The answer to the equation below is also 75 degrees. X equals 7
Step-by-step explanation:
Assuming that the lines are parallel, we can confirm that the two angles are corresponding because they are cut by a traversal (corresponding means that they occupy the same relative position). Knowing that the are corresponding use the equation 11x-2= 75 to find x. You are welcome and I hope you get the best grade possible :). Have a nice day!
3x + 2 = 3x + 2 pls help me I do not understand
Answer:
3x+2=3x+2 because, you have to combine your like terms, so here is an example..
3x + 2
there are no like terms to combine here so the problem stays how it was, so there saying 3x+2 = 3x+2 because they're stating the problem then saying that the answer is the same because there is no like terms her to combine.
Hope this helps,
Each deli sandwhiches made uses 8/8 pound of roast beef.Marisa started with 5 pounds of roast beef and now has 2 3/4 pounds left. How many del sandwhiches did she make
Answer:
Marisa has made 6 sandwiches.
Step-by-step explanation:
The pounds of roast beef required to make each sandwiches is [tex]\frac{3}{8}[/tex], and not [tex]\frac{8}{8}[/tex] as erroneously typed in the question.
Given that each deli sandwiches made, uses [tex]\frac{3}{8}[/tex] pounds of roast beef.
Marisa started with 5 pounds, and had 2[tex]\frac{3}{4}[/tex] pounds left.
Thus,
pounds of roast beef used = 5 - 2[tex]\frac{3}{4}[/tex]
= 5 - [tex]\frac{11}{4}[/tex]
= [tex]\frac{20 - 11}{4}[/tex]
= [tex]\frac{9}{4}[/tex]
= 2[tex]\frac{1}{4}[/tex]
Marisa had used 2[tex]\frac{1}{4}[/tex] pounds of roast beef. So that;
the number of del sandwiches made = 2[tex]\frac{1}{4}[/tex] ÷ [tex]\frac{3}{8}[/tex]
= [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{3}{8}[/tex]
= 6
Therefore, the number of sandwiches made by Marisa is 6.
A sweater originally marked $80.00 went on sale for $45. What was the percent of change?
Answer:
43.75%
Step-by-step explanation:
80-45=$35 off
35 is 43.75% of 80
Help ill give brainlist
Answer:
x=2
Step-by-step explanation:
Ian has 3/4 of an hour to work on math problems before he leaves for track practice each problem takes 1/12 of an hour how many problems will ian be able to finish before leaving
Answer:
9
Step-by-step explanation:
Since Ian has 3/4 of an hour that is 45 minutes left till practice and it takes 5 minutes per question so he will have 9 questions finished
9514 1404 393
Answer:
9 problems
Step-by-step explanation:
The number can be found by dividing the time by the rate.
(3/4 h)/(1/12 problems/h) = (9/12)/(1/12) problems = 9/1 problems
= 9 problems
Ian can finish 9 problems before leaving.
The area of a rectangle is 221 square meters. If the length of the rectangle is 4m longer than its width, find the dimensions.
Let w be the width of the rectangle in meters.
First find the width of the rectangle by solving for w.
Answer:
w=13 (take only the positive value)
i hope this helps
1.4 – ( ___ ) = 2
Pls hurry plz
Answer: The answer is –0.6, wait a second, did you duplicate your question?
Step-by-step explanation:
3 x 3 = 9 x 3 = 27 x 3 = ____x 3
Will Give Brainliest
Suppose a triangle with angles measuring 30°, 35°, and 115º is translated 1 unit left and 1 unit up on a coordinate grid.
Which would be the measure of an angle of the resulting triangle?
25°
35°
55°
65°
Answer:
35
Step-by-step explanation:
The triangle just moved. To translate an object doesn't change anything, it just changes the positioning.
Ex. Moving a box 1 foot forward and 1 foot to the left. I did nothing to the box, therefore the answer is 35 degrees since that is the only question there
The selling price for a used car at Smith's Auto Market was $17,700. Smith marks up the buying price by 18%. What was the buying price of the car?
$
Answer:
$20,886
Step-by-step explanation:
17,700/100=3186
3186+17,700=20,886
write an equivalent expression for 6x + 18.
Answer:
6x + 18 = 6x + 6 × 3 = 6 ( x + 3 )
Step-by-step explanation:
6x + 18
= 6x + 6 × 3
= 6 ( x + 3 )
What is the value of x in x = inverse of sine (negative one-half)?
Negative StartFraction 2 pi Over 3 EndFraction
Negative StartFraction pi Over 6 EndFraction
StartFraction 2 pi Over 3 EndFraction
StartFraction 7 pi Over 6 EndFraction
Answer:
-pi over 6 or B.
Step-by-step explanation:
I plugged it into desmos and this is what I got
Using the inverse of the sine function, it is found that the value of x is:
[tex]x = -\frac{\pi}{6}[/tex]
What is the inverse sine function?It is the function described by:
[tex]y = \arcsin{x}[/tex]
And means that sine of y is equals to x, that is:
[tex]x = \sin{y}[/tex]
In this problem, the function is:
[tex]x = \arcsin{-\frac{1}{2}}[/tex]
Which means that we have to solve for x, considering that the sine of x is of -1/2. Hence:
[tex]\sin{x} = -\frac{1}{2}[/tex]
[tex]x = -\frac{\pi}{6}[/tex]
Hence, the value of x is given by:
[tex]x = -\frac{\pi}{6}[/tex]
More can be learned about inverse trigonometric functions at https://brainly.com/question/1143565
the sum of renting bowling shoes for $6 and $3 per game
Answer:
9
Step-by-step explanation: 6+3=9
The rent is $9
Lilian makes $10.50 per hour and earned $252 last week. The equation 252 = 10.50h can be used to determine how many hours Lilian worked. How many hours did lilian work last week ? answer please !
Lilian worked 24 hours last week
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
ac - ad + bc - bd - 9e
Step-by-step explanation:
Evaluate the expression when x = 9.2 and y = 3.4.
5xy
need answers asap rnn
Answer: of each shape? 3 & 4?
Step-by-step explanation:
Plz help this is worth 30 points
Answer:
Choice A
Step-by-step explanation:
HELP NEED THIS BADLY five ninths minus two sixths correct answer=branliest
Answer:
0.222 as a decimal
111/500 as a fraction
22.2 as a %