Two vectors with magnitudes of 6 and 9 have a dot product equal to –27. Find the angle between the vectors.
Answer:
120°
Step-by-step explanation:
From the question,
The expression for the dot product of two vector is given as
a.b = abcosθ................... Equation 1
make θ the subject of the equation
θ =cos⁻¹ (a.b/ab)......................... Equation 2
Where θ = angle between the vector.
Given: a.b = -27, a = 6, b = 9
Substitute these values into equation 2
θ = cos⁻¹[-27/(6×9)]
θ = cos⁻¹(-27/54)
θ = cos⁻¹(-0.5)
θ = 120°.
Hence the angle between the vector is 120°
Answer:
B
Step-by-step explanation:
Edge 2021
The center of a circle bs located at 3,9), and the evde hesa vedles that to sustain What the parengtame een hee)
0 #4 - 6 = 46 + 6 = ()
7* 9-6-167-15-6
0676x* 167 18-0
D. ** *64*167-15-0
Answer:
The general equation of a circle is x2 + y2 - 6x - 16y + 48 = 0
Step-by-step explanation:
George is required to produce 500 frames for an art gallery. He spent $100 on the wood required for all these frames. He also spent $50 in polishing all the final frames. He rented two floors of an art gallery for about $700. What selling price should George charge the art gallery if he wants to break even?
Answer:
George should charge 1.70$ for each frame to break-even.
Step-by-step explanation:
Variable cost for the frames:
Wood + polishing = $100 + $50 = $150
Variable cost per frame would be:
$150/ 500 = $0.30
The fixed cost of the operation is $700.
George has to make 500 frames.
Fixed cost / (Selling price per unit – variable cost per unit) = 500
$700 / (Selling price per unit - $0.30) = 500
700 = 500 (Selling price per unit – 0.30)
700 = 500 * Selling price – 500 * 0.3
700 = 500 * Selling price – 150
(700 + 150) / 500 = Selling price
850 / 500 = 1.7
24 divided my 6 + 4 to the power of 2
Answer:
.24
Step-by-step explanation:
Which 2 variables are most likely to show a negative correlation when represented on a scatter plot?
Answer:
Water level and temperature
Step-by-step explanation:
Scatter plots are used to graph linear data containing to two variables, with the independent variable on the x - axis and the dependent variable on the y-axis. Linear data graphed on a scatter plot may be positive or negative depending on the type of relationship which exists between the two variables. Positive relationships are represented by positive slopes, with x increasing as y increases. Negative relationship on the other hand results in a reduction in Y as X increases and vice versa. Examples of negative correlation include the association between water level and temperature. ; water level will usually decrease as temperature rises. Therefore, any association between variables whereby a increase in one leads to a corresponding decrease on the other is tagged as a negative correlation.
Write the x-intercept of the graph of 2x − y = 5.
a) Find the value of 1 + 3x when x = 1
b) Find the value of 7 - 2x when x = -3
I need help with this question
Answer:
8 or 9^8
Step-by-step explanation:
You have to add the exponents when they are being multiplied without parenthesis which means 3+5=8 so it's 9 to the 8th power.
The volume of a cylinder is 471 cm? If the
height is 6 cm, calculate the radius.
Someone plz help
Answer:
Step-by-step explanation:
Formula for volume of a circle: V=πr²
If you multiply the circle by height, it becomes a cylinder.
Formula for volume of a cylinder: V=πr²h
Plug in the numbers and get r by itself:
471 = πr²(6)
Divide both sides by 6:
78.5 = πr²
Divide both sides by π:
25 = r²
Square root both sides:
[tex]\sqrt{25}[/tex] = [tex]\sqrt{r} \\[/tex]²
5 = r
Radius is 5 cm
Draw a square ABCD with A(0,6), B(4,6), C(0,10), and D(4,10)
Reflect it on the vertical line through 6 on the horizontal axis to get
A'B'C'D'. Write the coordinates of the image.
Answer:A’(12,6) B’(8,6) C’(12,10) D’(8,10)
Step-by-step explanation:
17x(8-5)x5 plz help me by solving this plz
Answer:
255
Step-by-step explanation:
so you first do the bracket so 8- 5 = 3
then 17 × 3 =51
and 51× 5 = 255
PLEASE HELP ASAP I HAVE 10 MINUTES
Answer:
4, -3
Step-by-step explanation:
I believe it'd be 4, -3 due to the shape moving seven units downwards, though I've only messed with triangles so I may be wrong. Sorry if I am.
Help I need to do that I don’t even know what it is I’ll
Give brianliest
Answer:
Step-by-step explanation:
1. f(x) = 5x² + 3x - 1
a. f(0) = 5·0² + 3·0 - 1 = -1
b. f(-1) = 5(-1)² + 3(-1) - 1 = 1
Do the same for f(2), f(√2), f(a+2), and f(a).
Then do the same thing for the next function.
2. f(x) = x/(1-x)
a. f(0) = 0/(1-0) = 0
Do the same for f(-1), f(2), f(√2), f(a+2), and f(a).
Write the word sentence as an inequality.
The sum of a number n and
n
is no less
less than
than 55
An inequality is
What is the inequalities
#6thgrademath plz help
Answer:
Check pdf
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
40,404x40=1,616,160
57,616x40=2,304,640
2,304,640-1,616,160=688,480
whats the y-intercept of the graph
Answer:
8
Step-by-step explanation:
it should be because its the only one touching the y-axis
Answer:
(0, 0)
Step-by-step explanation:
The y-intercept is the point where the line crosses the y axis. From looking at the graph, that point seems to be at (0, 0).
Two friends shop for fresh fruit. elena buys a watermelon for $7.65 and 4 pounds of cherries. taniy buys a pineapple for $2.25 and 3 pounds of cherries. use the variable p to represent the price, in dollars, per pound of cherries.
Answer:Answer: 5.2-p
Step-by-step explanation:
Let p be the price, in dollars, per pound of cherries.
Given : .Jackson buys a watermelon for $7.65 and 5 pounds of cherries.
Cost of 5 pounds of cherries = 5p
Now,
Cost of fruits to Jackson = 7.65+5p (in dollars)
Tim buys a pineapple for $2.45 and 4 pounds of cherries.
Cost of 4 pounds of cherries = 4p
Now,
Cost of fruits to Tim = 2.45+4p (in dollars)
Amount spent by Jackson more than Tim = (Cost of fruits to Jackson)-(Cost of fruits to Tim)
= 7.65+5p -(2.45+4p)
= 7.65+5p -2.45 - 4p
= 5.2-p
Hence , the required expression in terms of p = "5.2-p"
Step-by-step explanation:
I have 5 mins to get this done.
PLEASE HELP ILL GIVE YOU BRAINLIST !!! I DONT UNDERSTAND THIS
Answer:c=2 √1129 or c=−2 √1129
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
c^2=4516
Step 2: Take square root.
c=±√4516
c=2√1129 or c=−2√1129
Identify the first step when evaluating the expression 11 – 10 ÷ 2 + 6 × 1
Answer: use cymath
Step-by-step explanation:
Answer:
6.5
Step-by-step explanation:
i think
Hi, I have a question: Is 1.2 and 1.20 the same?
Answer:
yes
Step-by-step explanation:
0 is just a place holder
Answer: yes
Step-by-step explanation:
Trailing zeros with no numbers of value after them are just place holders.
How many outcomes are in the sample space when rolling a standard number cube and spinning a spinner with 4 equal sections?
Answer: 24
Step-by-step explanation: A standard cube has 6 sides. The spinner has 4 sections. For any section of the spinner you land on, you can land on one of 6 sides of the dice.
4*6
Multiply (8x^4)(7x^2). What is the product?
Answer:
200,704x
Step-by-step explanation:
(4,096x)(49x)
=200,704x
Function Notation: f(x)= -4+22; f(12)
Answer:
f(x)=-4x+22
f(12)=-4×12+22=-48+22=-26 if your
Step-by-step explanation:
question is f(x)=-4x+22
ltfdeyuhcfdgxtsrt867uojl,
Answer:
2q=8
q=4
Step-by-step explanation:
hope that helped you
Answer:
8q + 1 = 6q + 9
2q + 1 = 9
2q = 8
q = 4
what is the surface area? PLEASE HELP WILL MARK BRAINLY
Answer:
Hiya!
Are there any answers I can choose from?
Thank you muchly,
Pandora
Step-by-step explanation:
Please help !!
Select the correct answer.
Factor the expression.
(49x^2 - 16) | (Choices in the picture.)
Answer:
B.
Step-by-step explanaBtion:
The answer would be B
(7x+4)(7x-4)
you can tell because when you expand it e.g.
49x^2 +28x - 28x -16
simplify
49x^2 - 16
equals the expression
Answer:
The answer would be B: (7x+4)(7x-4)
A triangle has a side lengths of 34in., 28in., and 42in. is the triangle an acute, right, or obtuse?
What happens when a triangle is dilated using one of the vertices as the center of the dilation? Complete
the explanation.
The sides of the triangles adjacent to the center of dilation will be collinear. The third sides of the pre-
image and image will be ?
The vertex used as the center of dilation will be in
Answer:
The sides of the triangles adjacent to the center of dilation will be collinear. The third sides of the pre-
image and image will be “parallel”
The vertex used as the center of dilation will be in “the same location in both triangles”
need help asap will give brainly
Answer:
False
Step-by-step explanation:
please brainlist
Answer: 0.125 meters / 1 I think