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.
I've got 5 questions and I'm very stuck so I yall can pls HELP and answer them for me pls, thank you
Answer:
1. 11cm
2. 31.2cm
3. 20m
4. 11cm
5. 314feet
Step-by-step explanation:
1. 5.5 × 2 = 11cm
2. 15.6 × 2 = 31.2cm
3. 40m ÷ 2 = 20m
4. From the centre of a circle to the edge is the radius of a circle.
5. Circumference = πD
D = 2r = 2 × 50 = 100
π × 100 = 314feet
for brainiest:):):):):):):):):):):):)
Answer:
P: 15 Area: 8
Step-by-step explanation:
Use the line to split the shape. For P add all the numbers and add a 4 and a 1 too. For the area, you have to multiply 2 by 2 because of the cube, then mulitply 4 by 1 because 2+2=4 and the other number is one. REMEMBER TO SHOW YOUR WORK AND DOUBLE-CHECK!
3.
If the researchers add food in the simple maze such that the probability of each mouse turning left is now 0.7, what
is the probability that only one of the two mice will turn left?
Answer:
0.49
Step-by-step explanation:
Pls mark brainliest if correct!
Algebra 2 functions. Will mark Brainliest!
Answer:
f-1(x) is just the opposite of f(x) therefore -x(x-2) =f-1(x)
Step-by-step explanation:
If the degree of a term is negative, the term is still a monomial.
A. True
B. False
Answer:
a
Step-by-step explanation:
Answer:
B) false
Step-by-step explanation:
degree cant be negative because if it was then the trioxians of the neutrino would implode to a sub zero quantum ordinate and the multiverse would incenerate itself and turn into a meca black hole...and that is why we dont want monomials to have a negative degree
what is the next step in solving this equation
a. -5x-8=9
b. -13x=9
c. 11x-24=9
d. -21x-24=9
Factorise using the sum and product method with all the steps!
British curriculum
No links or websites please !
Answer:
(2x+3)(x-5)
Step-by-step explanation:
Given the expression 2x²-7x-15
Factorize
2x²-10x+3x-15 =0
2x(x-5)+3(x-5)
(2x+3)(x-5)
Hence the factored form of the expression is (2x+3)(x-5)
HI thts way tooo much to answer but ye
can someone please help me with this question??
Answer:
90
Step-by-step explanation:
radius = 6/2 = 3
(3x3x3x10)/3 = 270/3 = 90
At a car wash fundraiser, $168 was raised for washing 24 cars. The next day, $280 was raised for washing 40 cars. Are the rates equivalent? Explain your reasoning.
Step-by-step explanation:
168/24 = 7 dollars per car
280/40 = 7 dollars per car
the rates are equivalent.
Select the correct answer. Which is the minimum or maximum value of the given function?
A. The function has a maximum value of -3.
B. The function has a minimum value of -3.
C. The function has a maximum value of -4.
D. The function has a minimum value of -4.
Answer:
The answer is D I believe
Step-by-step explanation:
If you look at the lowest point it lands on -4
Mike wants to pull as much juice as possible in his cup.His cup is 10.2 inches tall and has a 2.6 inch radius. How much juice can mike pour in his cup
Answer: [tex]V=216.64\ in.^3[/tex]
Step-by-step explanation:
Given
Height of cup [tex]h=10.2\ inch.[/tex]
radius of cup [tex]r=2.6\ inch.[/tex]
assume the cup is in the shape of a cylinder
The volume of the cylinder is [tex]\pi r^2h[/tex]
Put the values
[tex]\Rightarrow V=\pi \times 2.6^2\times 10.2\\\Rightarrow V=216.64\ in.^3[/tex]
Directions: Select all the correct answers.
Yvette needs 5/8 of a teaspoon of salt, 2/3 of a tablespoon of baking soda, and 3/4 of a cup of sugar to bake a cake.
The order of the measurements from least to greatest are 5/8 < 3/4 < 2/3.
The order of the measurements from least to greatest are 5/8 < 2/3 < 3/4.
The numbers 5/8 and 3/4 are terminating decimals while 2/3 is a non-terminating decimal.
The numbers 5/8 and 2/3 are terminating decimals.
The number 5/8 is a terminating decimal while 3/4 and 2/3 are non-terminating decimals.
The number expands to 0.75 while expands to 0.6.
The number 5/8 expands to 0.625 while 3/4 expands to 0.75.
The order of the measurements from least to greatest are 2/3 < 5/8 < 3/4
Answer:
The order of the measurements from least to greatest are 5/8 < 3/4 < 2/3.
Step-by-step explanation:
Answer:
The numbers 5/8 and 2/3 are terminating decimals.
The order of the measurements from least to greatest are .
2/3<,5/8,<3/4
Step-by-step explanation:
study island
Answer this please i am stuck
Answer:
no one knows i think
Step-by-step explanation:
Answer:
junkijunki
Step-by-step explanation:
Please answer correctly
KLJ= 125º
Hope this helps!!
please help it's the last question
Answer:
1 is the answer
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
option 1!
Step-by-step explanation:
it started at 15 and ended at 23. also when u look at the sequence, 19 is in the middle. which shows in the graph that 19 is matching the line. but u might be confused since option 2 also has 19 matching the line... but look carefully. the square started at 17, but the sequence does not have 17 in it.
i hope this helped :D
Two decimals numbers, to the thousandths, that have a sum of about 5 and a difference of about 3. Then do the math to prove it works.
Answer:
The numbers are approximately: 4.000 and 1.000
Step-by-step explanation:
The given parameters can be expressed as:
[tex]\frac{x}{1000} + \frac{y}{1000} \approx 5[/tex]
[tex]\frac{x}{1000} - \frac{y}{1000} \approx 3[/tex]
Required
Determine the numbers
In each of the equations, multiply by 1000
[tex]1000 * [\frac{x}{1000} + \frac{y}{1000} \approx 5][/tex]
[tex]x + y \approx 5000[/tex]
[tex]1000 * [\frac{x}{1000} - \frac{y}{1000} \approx 3][/tex]
[tex]x-y \approx 3000[/tex]
So, we have:
[tex]x + y \approx 5000[/tex]
[tex]x-y \approx 3000[/tex]
Add the two equations
[tex]x + x + y - y \approx 5000 + 3000[/tex]
[tex]2x \approx 8000[/tex]
Solve for x
[tex]x \approx 8000/2[/tex]
[tex]x \approx 4000[/tex]
Substitute [tex]x \approx 4000[/tex] in [tex]x + y \approx 5000[/tex]
[tex]4000 + y \approx 5000[/tex]
[tex]y \approx 5000 - 4000[/tex]
[tex]y \approx 1000[/tex]
Using:
[tex]\frac{x}{1000} + \frac{y}{1000} \approx 5[/tex]
We have:
[tex]\frac{4000}{1000} + \frac{1000}{1000} \approx 5[/tex]
[tex]4.000 + 1.000 \approx5[/tex]
This implies that, the numbers approximates to 4.000 and 1.000, respectively.
The first play in a football game starts at the
50-yard line and results in a gain of 25 yards for
Team A. On the next play, Team B has a gain of
25 yards in the opposite direction. Where is the
ball after the second play?
Which are possible employers in the Financial career cluster? Check ALL that apply.
-private company
-government
-nonprofit organization
-bank
-stock market
Answer:
pretty sure its
government
nonprofit organization
bank
Step-by-step explanation:
doing exam thingy
Answer:
hes right
Step-by-step explanation:
Use the law of sines to find the value of a.
B
95°
D
40°
a
4.7 cm
С
sin(A)
a
sin(B)
Law of sines:
sin(C)
C
Answer:
Step-by-step explanation:
''he Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.''
The best approximation value of a by using sine rule is 3.0cm. so option C is correct.
What is sine rule?The sides and angles of non-right triangles are related according to the Law of Sines.
The relationship between the angles and lengths of the sides:
a/sinA = b/sinB = c/sinC
We know according to law of sines:
a/sinA = b/sinB = c/sinC
by putting the values we can write,
a/sin40° = 4.7/sin95°
a = (4.7 ×sin40°)/sin95°
= 3.032
by putting the value of Sin40° and Sin95°.
we get a = 3.03cm.
Approximation value of a is 3.0cm.
To know more about sine rule check:
https://brainly.com/question/26952873
#SPJ7
The complete question:
what is the best approximation of the value of a?
2.4 cm
2.7 cm
3.0 cm
3.3 cm
Given triangle ABC with ∠BAC=40°, ∠ABC=95°,AC = 4.7cm, BC = a cm.
TIME REMAINING
43:34
A department store is hiring for the positions of manager, associate manager, and assistant manager. If 15 people have applied for all the positions and are equally qualified for each position, in how many ways can the positions be filled?
Answer:
The positions can be filled in 2730 ways
Step-by-step explanation:
The number of all posible ways is equal to the number of possibilities of who can become the manager, times the number of possibilities of who can become the associate manager, times the number of possibilities of who can become the assistant manager.
Now...
The number of possibilities of who can become the associate manager = 15
The number of possibilities of who can become the associate manager = 14
(it decrease by one because one person already got the position of manager)
The number of possibilities of who can become the assistant manager = 13
(based on the same logic as for the number of who can become the associate manager)
So now we know the number of ways equals...
15 x 14 x 13 = 2730
From the set {7, 15, 18), which of the values can be substituted for c to make the
equation true.
90 - 2c = 60
A. 7
B. 18
C. none of these
D. 15
Answer:
7-2=5
18-2=16
15-2=13
90-20=70
Is 4.53 a real number?
yes or no
Answer:
yur
Step-by-step explanation:
Answer:
yeah it's a decimal so yes
**NO LINKS** Only need part D
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
well you know it's a 90° so do you know what Sin(90) is? you should :D
I think this is kinda a trick question too b/c Opp here is also Hyp
so it would like like sin(90) = Opp / Hyp but that's 427/427 for this question. seems kinda confusing why ask it that way.. huh :/
sin(90) = 1
Suppose a sample of 256 was taken from a population with a standard deviation of 64 centimeters. What is the margin of error for a 68% confidence interval?
A. 6
B. 8
C. 10
D. 4
The correct margin of error for a 68% confidence interval is option D 4 centimeters.
Let's calculate the margin of error correctly for a 68% confidence interval.
To calculate the margin of error, we need to determine the critical value associated with a 68% confidence interval. For a normal distribution, the critical value is approximately ±1 standard deviation.
Given that the standard deviation is 64 centimeters, the margin of error can be calculated as:
Margin of Error = 1 * (Standard Deviation / √Sample Size)
= 1 * (64 / √256)
= 1 * (64 / 16)
= 1 * 4
= 4
Therefore, the correct margin of error for a 68% confidence interval, based on the given information, is 4 centimeters. The correct answer is option D.
Know more about interval here:
https://brainly.com/question/30460486
#SPJ8
Answer:
D
Step-by-step explanation:
Just took the test
Find the are of the triangle below in square units
(The triangle is in the picture, please help! :,))
Answer:
252
Step-by-step explanation:
14 x 6 x 12 = 1008/2 = 504/2 = 252
In circle J with mZHLK = 21°, find the angle measure of minor arc HK .
K
H
L
Answer: m HK
Submit Answer
attempt 2 out of 2
PLZ HELP
Answer:
HK=42°
Step-by-step explanation:
because the arc of HK is two time bigger than HLK measurement
HLK=1/2HK
21°=1/2HK cross production
HK=2×21°
HK=42°
Pythagorean theorem level 2 delta math
The third side is [tex]\sqrt{42}[/tex]
So Pythagorean's theorem is the following
[tex]Short^2 + Long^2 = Hypotenuse^2[/tex]
From here we can input the following information that we know
[tex]Short^2 + 4\sqrt{3}^2 = 8^2\\Short^2 + 12 = 64\\Short^2 = 64 - 12\\Short^2 = 42\\Short = \sqrt{42}\\[/tex]
5 tons of fertilizer cost $14,100.00. What is the price per pound?
Answer:
$2,820
Step-by-step explanation:
$14,100.00 / 5= $2,820
It takes Lauren 13 minutes to walk 1 mile. How many miles can
Lauren walk in 52 minutes?
Answer:
4
Step-by-step explanation:
if it takes her 13 mins to walk 1 mile and we need to know how many miles she can walk in 52 mins than the equation for this word problem would be: 52÷13=4
If you place a 40-foot ladder against the top of a building and the bottom of the ladder is 17 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
no se ingles pero, alguien me puede ayudar?
Answer:
The building is 36.2 ft tall.
Step-by-step explanation:
i got it right on the deltamath