Answer:
Option C.
Step-by-step explanation:
We know that for two vectors:
A = 〈a₁, a₂, a₃ 〉and B =〈b₁, b₂, b₃〉.
The dot product between A and B is:
A.B = IAI*IBI*cos(θ)
Where θ is the angle between the vectors.
And the dot product can be also written as:
A.B = a₁*b₁ + a₂*b₂ + a₃*b₃
With that, we can find the angle between our vectors.
In this case, the vectors are:
A = 〈6, –3, 1〉 and B = 〈8, 9, –11〉
The modules are:
IAI = √( 6^2 + (-3)^2 + 1^2) = 6.78
IBI = √( 8^2 + 9^2 + (-11)^2) = 16.31
And the dot product between A and B is:
A.B = 6*8 + (-3)*9 + 1*(-11) = 10
Then we have that:
10 = IAI*IBI*cos(θ) = ( 6.78)*(16.31)*cos(θ)
10/(6.78*16.31) = cos(θ)
Now remember the inverse cosine function, Acos(x), this function has the property:
Acos(cos(x)) = x
If we apply this to both sides, we get:
Acos(10/(6.78*16.31)) = Acos(cos(θ)) = θ = 84.8°
The correct option is C.
Ryan works as a waiter at a local restaurant. For each dish he breaks, he has $2.15 deducted from his weekly pay. On a Monday night, Ryan broke 8 dishes, but he broke no more dishes the rest of that week. Which equation shows a way to calculate how much he had to pay for the broken dishes that week?
A. 8 * $2.15 = $17.20
B. 8+ (-$2.15) = $5.85
C. -8- (-$2.15) = -$5.85
D. 8 + $2.15 = $10.15
The answer would be A.
Step-by-step explanation:
8 x $2.15= $17.20
Find the volume of the cylinder. Either enter an exact answer in terms of T or use 3.14 for T. 6 for height 8 for width
nvm I got it it was 384
Answer:
The volume of the cylinder is equal to 1205.76 cubic units.
Step-by-step explanation:
Given that,
Height of the cylinder, h = 6
Radius of the cylinder, r = 8
We need to find the volume of the cylinder. The formula for the volume of a cylinder is given by :
[tex]V=\pi r^2 h\\\\V=3.14\times 8^2\times 6\\\\V=1205.76\ units^3[/tex]
So, the volume of the cylinder is equal to 1205.76 cubic units.
Find the value of x and y that will make each quadrilateral a parallelogram.
Answer:
to solve for x. So, x = 4 and y = 3. COORDINATE GEOMETRY Graph each quadrilateral with the given vertices. Determine
A teenager can wash 2 tables per minute. Write an expression for how many tables they can wash in m minutes. *
Answer:
2m = x
x being the number of tables
Step-by-step explanation:
2 tables = 1 minute
x tables = m
(cross multiply)
2m = x
x being the number of tables
which transformation(s) must map the square exactly onto itself? choose all that apply.
Answer:
Step-by-step explanation:
The first four
Please help me ASAP!!
Answer:
n = 6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
you can create this proportion:
18/n = n/6
cross-multiply:
n² = 108
n = [tex]\sqrt{108}[/tex]
[tex]\sqrt{108}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{9}[/tex]·[tex]\sqrt{3}[/tex] = 2·3·[tex]\sqrt{3}[/tex] or 6[tex]\sqrt{3}[/tex]
11 to the power of negative 4 / 11 to the power to 8
Answer:
11^-12 or 11 to the power or negative twelve
Step-by-step explanation:
11^-4 / 11 ^ 8
according to the laws of indices, when dealing with powers, division is subtraction. so:
-4 - 8 = -12
answer = 11^ -12
Answer:
Hello There!
Your answer is:
2.2This is rounded, since you get this: 2.2094836e-42If this helps, please give me a thanks!!
- abakugosimp
find the value of the variable and the length of each chord. round your answers to the nearest tenth
Answer:
x = 3, JL = 17, MN = 13
Step-by-step explanation:
Given 2 intersecting chords in a circle , then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
14x = 7 × 6 = 42 ( divide both sides by 14 )
x = 3
Then
JL = x + 14 = 3 + 14 = 17
MN = 6 + 7 = 13
Diego predicts that his basketball team has a 23 probability of winning each of their next 7 games. Select two ways Diego could accurately simulate the number of games his team will win.
Answer:
(c) and (e)
Step-by-step explanation:
Given
[tex]Pr = \frac{2}{3}[/tex]
Required
Which 2 options can be used to simulate the given probability.
The two options are (c) and (e)
The proof is as follows;
Option (c)
We have:
[tex]Rolls = 7[/tex]
A cube has 6 faces. So:
[tex]S = \{1,2,3,4,5,6\}[/tex]
[tex]n(S)=6[/tex]
The probability of getting ones, twos, threes, and fours is:
[tex]Pr = \frac{n(1,2,3,4)}{n(S)}[/tex]
In: [tex]S = \{1,2,3,4,5,6\}[/tex]
[tex]n(1,2,3,4) = 4[/tex]
So:
[tex]Pr = \frac{4}{6}[/tex]
Simplify
[tex]Pr = \frac{2}{3}[/tex]
Option (e)
We have:
[tex]White = 10[/tex]
[tex]Red = 5[/tex]
[tex]Count = 7[/tex]
Record the probability of white.
This is calculated as:
[tex]Pr = \frac{White}{Total}[/tex]
[tex]Pr = \frac{White}{White + Red}[/tex]
[tex]Pr = \frac{10}{10+5}[/tex]
[tex]Pr = \frac{10}{15}[/tex]
Simplify
[tex]Pr = \frac{2}{3}[/tex]
2/7 done! If it’s right I will put brainliest!
Answer:
The name of the marked angle is (angle BAD)
Step-by-step explanation:
solve for x and y x+y=a;x-y=b
Answer:
x = a + b - a/ 2
y = - b - a/ 2
Step-by-step explanation:
17 cm
17 cm
8 cm
3 What is the surface area of the triangular
prism shown?
A 1,430 cm?
B 2,360 cm?
35 cm
C 2,480 cm?
D 4,200 cm
I
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Boubacar sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
120 visitors purchased no costume.
235 visitors purchased exactly one costume.
3 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase no costume as a percent to the nearest whole number.
Answer:
Step-by-step explanation:
p[p
Answer: 34%
Step-by-step explanation:
(Trust me)
Kayla has 16 cups of trail mix that she wants to give to her friends. She decides to divide it into cup portions. How many portions can she make?
[?] portions
Answer:
16
Step-by-step explanation:
Which relationship is always true for the angles x, y, and z of triangle ABC? (4 points)
x + z = y
y + z = x
x + y + z = 180 degrees
x + y + z = 90 degrees
Answer:
y + z = x
Step-by-step explanation:
Help help help help help help help
Answer:
Negative
Positive
Negative
Positive
Step-by-step explanation:
AnswerNegative ,Positive, Negative, Positive
Step-by-step explanation:
the dot plot shows the number of hours that 40 students studied each week make a statement that describes the overall pattern of the data in the plot. support your statement by describing clusters,gaps and/or peaks
Answer:
ther is no dot plot
Step-by-step explanation:
Suzanne pours 260 mL of milk into her glass.
Which expression shows how Suzanne could find this amount of milk in liters?
Answer:
1 L = 1000 mL
Step-by-step explanation:
B. 260 × 100
In the diagram, mZJ = 39.59. Find mJK.
H
K
a. MJK 101°
b. JK = 799
C.
JK = 140.5°
JK = 50.5°
d.
Answer:
a) 101°
Step-by-step explanation:
arc HK = 2(39.59°) = 79.18°
arc JH = 180°
arc JK = 360° - 180° - 79.18° = 100.82°
JK = 101°
The correct answer is option (A) 101°
What is an inscribed angle?"It is an angle in a circle formed by two chords that have a common end point on the circle."
For given example,
m ∠J = 39.59°
We know, the measure of an inscribed angle in a circle equals half the measure of its intercepted arc.
⇒ m(∠J) = (1/2) × arc KH
⇒ arc KH = 2 × 39.59°
⇒ arc KH = 79.18°
Also, arc HJ = 180°
We know for given figure,
⇒ arc JK + arc KH +arc HJ = 360°
⇒ arc JK + 79.18° + 180° = 360°
⇒ arc JK + 259.18° = 360°
⇒ arc JK = 100.82°
⇒ mJK ≈ 101°
Therefore, mJK = 101°
The correct answer is option (A) 101°
Learn more about the inscribed angle here:
https://brainly.com/question/15899344
#SPJ2
2х - 7y = 14
Find the x and y- intercepts then graph them.
Help please no links or I’ll report
Answer:
8x+16
Step-by-step explanation:
i used an app and its never wrong
Answer:
I hate the links too so just look up that exact question and youll prolly get the right answer
I think the answer it gave was 8
Determine which translations would map Figure K into Figure L.
Answer:
Right; 5 Units
Down; 3 Units
Step-by-step explanation:
Self explanitory, please correct me if I made a typo, mistake in answer, etc.
Answer:
right 5 units and down 3
Step-by-step explanation:
just take a point and count how many spaces it goes moving it to its corresponding point on the new image
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
In the first one answer is r²
In second one answer is 3
Step-by-step explanation:
Yes it is Algebra with different powers
In first one (6r4+4r) +(__- 2r4 + 3r) = 4r4 + r2 + 7r
Like terms are added:
6r^4- 2r^4 + 4r + 3r +____ = 4r^4 + r2+ 7r
4r^4+7r +___ = 4r^4 + r^2 + 7r
Therefore ___ = r^2
In second one:
(__ -8x - x^2)-(4x^2 -7 +6x) = -5x^2 +14x +10
Open the brackets
__ -8x - x^2-4x^2 +7 -6x = -5x^2 +14x +10
Add like terms
__ -14x -5x^2 + 7= -5x^2 +14x +10
Therefore
___ + 7 = 10
___ = 10 -7 = 3
HELP PLSSSSSSS
NO LINKS
Answer:
Is there anything else to this like a description or a sentence?
Step-by-step explanation:
Sorry I need more than this
Suppose that an individual has a body fat percentage of 13.6% and weighs 189 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
HELPPPPPP!!!!!!!!!!
Answer:
25.7 lbs
Step-by-step explanation:
189/100=1.89
1.89*13.6=25.704
25.7 lbs
Answer:
25.7
Step-by-step explanation:
You need to do 13.6 percent of 189 which is 25.704 without rounding
Round that to the nearest tenth and you have 25.7
Hope I helped :)
PLZ HELPPP
What is the radius of a cylinder that has a volume of 500 fts and that is 10 ft tall?
Answer:
4ft
Step-by-step explanation:
500=pir^2h
r^2=500/(10*pi)
r=3.989ft
Which of the following is a vertex of the figure shown below after a reflection in the y axis?
Answer:
A.
Step-by-step explanation:
( 5,0)
When x axises is a reflection in the y axis
HELP I HAVE 5 MIN
what is x?
Answer:
x = 42
Step-by-step explanation:
i hope this helps :)
Which of the following are binomiola? Check oll that apply
A. x + 2
B. x+3/x
C-x^10
D. x^7
E x^2 + 18
F.x
a Binomial is 2 terms
so the solution is
A
B
E
Answer:
A, B, and E
Step-by-step explanation:
Binomials are equations that consist of two terms.
Jovan spent 2/3 of his savings on a watch. He also spent of 1/5 his savings on a bag. (a) What fraction of his savings was left? (b) How much did he spend on both the items? Tell me the steps to get the answer please, Thanks... Have A Good Day/ Night.. :D
Answer:
2/15
13/15
Step-by-step explanation:
Amount spent = sum of amount spent on watch and bag
[tex]\frac{2}{3} + \frac{1}{5}[/tex]
[tex]\frac{10 + 3}{15}[/tex]
= [tex]\frac{13}{15}[/tex]
Fraction left = 1 - amount spent
1 - 13/15
2/15
