We will see that for the given vectors:
a) v.w = -5b) The angle between the vectors is 116.57°How to find the dot product?
Remember that the dot product between two vectors:
a = (x₁, y₁) and b = (x₂, y₂) the dot product is:
a.b = x₁*x₂ + y₁*y₂ = |a|*|b|*cos(θ).
a) We have:
v = (3,-4) and w = (1,2)
The dot product will give:
v.w = 3*1 + (-4)*2 = 3 - 8 = -5
b) We will have:
|v|*|w|*cos(θ) = -5
Where:
|v| = √(3^2 + (-4)^2) = 5|w| = √(1^2 + 2^2) = √5Then we have:
5*√5*cos(θ) = -5
cos(θ) = -1/√5
θ = Acos(-1/√5) = 116.57°
The angle between the two vectors is 116.57°.
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What is the most inexpensive way to measure heart rate during exercise?
A. Doing a rate of perceived exertion
B. Taking your pulse
C. Wearing a heart rate monitor
D. None apply
Answer:
C
Step-by-step explanation:
Taking your own heart rate is the most inexpensive, but it is also accurate if you can measure it correctly.
In circle XX, m\angle YXZ=100^\circ∠YXZ=100
∘
and the length of \overset{\LARGE\frown}{YZ} = 5\pi
YZ
⌢
=5π. Find the length of \overline{XY}
XY
delta math
The length XY of the circle X is the radius of the circle
The length of XY is 9 units
How to determine the length of XY?The parameters are given as:
Length of arc, YZ = 5πCentral angle, YXZ = 100°The length of arc is calculated using:
L = Ф/360 * 2πr
Where:
L = YZ = 5πФ = YXZ = 100°Radius, r = XYSo, we have:
5π = 100/360 * 2πr
Evaluate the quotient
5π = 5/9 * πr
Divide both sides by 5π
1 = 1/9 * r
Multiply both sides by 9
r = 9
This means that
XY = r = 9
Hence, the length of XY is 9 units
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The dimensions of Mr.Tai's living room are 10 feet x 18 feet x 8 feet, and the dimensions of his family room are 14 feet x 20 feet x 8 feet. What is the total volume, in cubic feet, of the 2 rooms?
{I might not need help but i want to see ur answers :)}
Answer:
3,680 cubic feet
Step-by-step explanation:
Spinner has 7 pieces, 1 black, 2 gray, 4 white, what is the probability that I would land on a gray piece?
Answer:
2/7
Step-by-step explanation:
there are 2 gray prices out of 7
Financial algebra -
Charles is 45 years old, and makes $40,000 per year. If he were to die, how
much would the beneficiaries of his life insurance policy receive if they can
get by on 60% of his income?
Answer: The Beneficiaries will get 24,000 dollars in total
Step-by-step explanation:
1.) Step one is you would have to divide 40,000 by 60 because that will be how much they would get
2,) Step two is box you answer
pls answer i need help
Step-by-step explanation:
xcos60 = 5root3/3
1/2x = 5root3/3
x = 10root3/3
Choice C
Find the Volume.
9- in
in
2 in
1
3 in
Step-by-step explanation:
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
[tex]3 \frac{1}{2} \times 2 \times 9 \frac{1}{3} \\ = 45.5556[/tex]
mark it Brainiest please
how many solutions does 2a-5a=-3a have
Answer:
Step-by-step explanation:
2a-5a = -3a, combine like terms
-3a = -3a , this is true all the time so ...
The equation 2a-5a = -3a has infinite many solution.
In the above figure, m∠A = 26° and m∠B = (2x + 16)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A. x = 24, m∠B = 64°
B. x = 50, m∠B = 64°
C. x = 69, m∠B = 154°
D. x = 24, m∠B = 48°
Answer:
A. x = 24, m∠B = 64°
Hope this helps!
You pick a card at random. Without putting the first card back, you pick a second card at random.
3
4
5
What is the probability of picking a 5 and then picking a 5?
Write your answer as a fraction or whole number.
Answer:1/169 i think
Step-by-step explanation:
Because you have to get a 5 twice in a row your first probability for one would be 4/52 or 1/13 but because you have to do it twice in a row you multiply the odds together 1/13*1/13=1/169
Use a ruler and a protractor to determine
whether or not it is possible to draw a
triangle with a 75° angle, a 115° angle, and a
side of 4 inches between the two angles. If
so, draw the triangle. If not, explain why.
Answer:
It is not possible.
Step-by-step explanation:
The triangle is impossible to create because of the Triangle Angle Sum Therom, which states that all 3 angles in a triangle must = 180 degrees. As they haven given us 75 degrees, and 115 degrees 75+115=190 Which is more then 180, Hence it is not possible.
whats the lcm for 5678
Answer:
28390
Step-by-step explanation:
If you take 10*5678=28390
Answer:
840.
Step-by-step explanation:
LCM of 5 6 7 and 8,
Write out the prime factors of each number.
5 = 5
6 = 2*3
7 = 7
b = 2*2*2
So the LCM = 2*2*2*3*5*7
= 840.
PLEASE HELP ME!!! 20 points!
Answer: C
Step-by-step explanation:
hope this helps
A bedroom door has a perimeter of 26 feet and an area of 36 square feet. What are the dimensions of the door?
NEED HELP ASAP WILL MARK BRAINLEST!!
Does it tell you to make up your own problem situation or to choose from, if it asks you to choose from the provided then you didnt send the screenshot properly send it again and I will help you answer it but in case it asked you to make upyour own problem situation heres the answer:
Step-by-step explanation:
John has built houses on 59.48 acres of land, his dad had given him 300 acres of land before passing, john plans on building a lot more houses this year. X is the amount of acres of land he will use to build the house in addition to the 59.48 acres of land already used to build houses previously, combined they can equal a maximum of 300 acres because thats all he has.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP when u answwer dont come bck tho
Answer:
i belive it is c. -5.4
Step-by-step explanation:
because as the temperature increases in the negative zone you are also decreasing the momentary value of that number so -3.4 is greater than -5.4 (facts)
How to tell if an equation is a porabilula
Answer:
Parabolas have a plane-curve shape, like the one shown in the picture.
a blank is a transformation that changes the slope of a line
Answer:
I'm pretty sure its Stretches and Compressions.
Step-by-step explanation:
A train travels 71 km in 28 minutes. what is its speed in kilometers per hour? 
Simplify: (-4ab^2)(-3b^2c) (5a)
Answer:
[tex]60a^{2} b^{4} c[/tex]
Step-by-step explanation:
just multiply first paranthesis with second one. They are each 1 unit as there are no addition or subtraction inside the parantehsis so DON'T distribute. It's more simple.
(12ab^4c)*(5a)
now multiply these 2 paranthesis, again just 2 units to multiple.
60a^2b^4c
Find BC.
Round to the nearest tenth.
What number is 35% of 675?
Answer:
236.25
Step-by-step explanation:
35/100x675=945/4 = 236.25
please i really need help right now 25 points
Answer:
C
Step-by-step explanation:
f(x) are 6; 2; -3; 4, finalle the answer C is correct.
How many pounds is 3/12 and 1/12?
Answer:
Step-by-step explanation:
Remark
This is just a matter of adding 2 fractions and reducing the result
Givens
f1 = 3/12
f2 = 1/12
Equation
Answer = f1 + f2
Solution
answer = 3/12 + 1/12
The denominators are the same. The answer will have the same denominator
Answer = (3 + 1)/12
Answer = 4 / 12
The answer has a common factor in both the top and bottom of the fraction (4 is the common factor).
Therefore divide the top and bottom by 4
Answer = 4/4 // 12/4
Answer = 1 / 3
If you have 5 blue marbles, 8 yellow marbles, and 2 green marbles. What is the probability of pulling a yellow marble?
Answer: 8/15
Step-by-step explanation: take all the color of marbles and add them together. There is where you get your denominator of 25. Next, since you are finding for yellow marbles, take the number of yellow marbles (8) and that will be your numerator.
At Garcia's Bike Rentals, it costs 31 to rent a bike for 7 hours. How many hours of bike use does a customer get per dollar?
[tex]\tt \dfrac{7}{31}=0.226~hours/dollar[/tex]
Giving brainliest to who can help!
Answer:
BELOW
Step-by-step explanation:
OK so AC is 18, since both of those sections are 9, and 9+9=18.
But for AG im kind of stuck. At first I thought it was 11 but then just by looking at it you can see that they aren't the same length(I mean AG and GC) so I don't know about that one.
heres what I THINK it could be
GF and GD COULD BE the same length, considering that this is a 3d shape.
So, since AGF is a right triangle, we can use pythagorem. theorem.
7^2+9^2=x^2
49+81=x^2
130=x^2
x==11.40
MAYBE AG=11.40.
i tried my best sorry
find the least perfect square that is exactly divisible by each of the numbers 5 , 18 , 25 and 27 .
In other words , the LCM of 5 , 18 , 25 and 27 can be made a perfect square if it is multiplied by 2 × 3 .
The least perfect square greater that the LCM ,
☞︎︎︎ 2 × 3³ × 5² × 2 × 3
☞︎︎︎ 2² × 3⁴ × 5²
☞︎︎︎ 4 × 81 × 85
☞︎︎︎ 100 × 81
☞︎︎︎ 8100
8100 is the least perfect square which is exactly divisible by each of the numbers 5 , 18 , 25 , 27 .
What number represents 8 times as many as 2
answer: 16
explanation: 8*2=16
The number that represents 8 times as many as 2 is 16.
The times in the question is nothing but multiplying a number with another number.
To find the number that represents 8 times as many as 2.
we need to multiply 2 by 8.
Two times eight is equal to sixteen.
2 × 8 = 16
Therefore, the number that represents 8 times as many as 2 is 16.
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Combine the like terms to create an equivalent expression
Answer:
y is the same as 1y. so 9y + 1y = 10y
Answer:
Step-by-step explanation:
Like terms have same variable with same power.
If so, just combine the coefficient of the variables.
9y + y = (9 + 1)y
= 10y