Answer:
The magnitude is definitely sqrt 61
Step-by-step explanation:
I am unsure how to mathematically solve for the direction angle but my educated guess would be C magnitude of sqrt 61 and direction angle equal to approximately 40° because the vector is below halfway of the 90 degree angle.
The magnitude and the direction of vector a are √61 and 40°. Then the correct option is C.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
From the graph, we can see that the coordinate points of the vector that is given as (0, 0) and (5, 6)
Let a be the vector.
Then the magnitude of the vector will be
[tex]\rm \overrightarrow{a} =\sqrt{(6-0)^2 + (5-0)^2 } \\\\\overrightarrow{a} =\sqrt{6^2 + 5^2 }\\\\\overrightarrow{a} =\sqrt{36 + 25}\\\\\overrightarrow{a} =\sqrt{61}[/tex]
The direction will be
[tex]\rm \theta = tan^{-1} \dfrac{5}{6}\\\\\theta = tan^{-1} 0.833\\\\\theta = 39.80 \approx 40^o[/tex]
The magnitude and the direction of vector a are √61 and 40°. Then the correct option is C.
More about the vector link is given below.
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The mean mass of 5 boys is 62 kg. When the mass of a boy is excluded, the mean mass of the remaining 4 boys becomes 64 kg. Find the mass of the boy that has been excluded
Answer:
54 kg
Step-by-step explanation:
x - regular boy
y - special boy who's weight we're counting
The mean mass of 5 boys:
(4x+y)÷5=62
The mean mass of 4 boys:
4x÷4=64
x=64kg
the mass of y boy:
(4×64+y)÷5=62
(256+y)÷5=62 |×5
256+y=310
y=310-256
y=54
On average, Cody runs 5 miles in 48
minutes. How fast should he plan to
run a 10 miles race if he maintains this
pace?
Answer:
6.25 Miles per hour speed
Find the missing quantity in the double number line.
The missing quantity is 100 books in the double number line.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".
Let the missing quantity be x in the double number line.
According to the given condition, we can write the proportion would be as:
40 books : 2 boxes = x books : 5 boxes
⇒ 40 / 2 = x / 5
Apply the cross-multiplication operation,
⇒ 40 × 5 = 2x
⇒ 2x = 200
⇒ x = 200/2
⇒ x = 100
Therefore, the missing quantity is 100 books in the double number line.
Learn more about the proportion here:
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If the domain of the function y =2x + a
is the set of all real numbers except x = 5, find the value of a.
Answer:
a=-10
Step-by-step explanation:
y=2x+a ,at x=5
y=2(5)+a
y=10+a
where y=0
10+a=0
a= -10
In △RST, TR ≅ ST, m∠T=142∘. Find m∠S.
Answer:
m∠S = 142°
Step-by-step explanation:
If TR ≅ ST, then...
T≅S
R≅T
Answer:
19Step-by-step explanation:
A cheetah's speed was timed overa
100-yard distance. The cheetah was
(PLEASE HELP ME)clocked running 70 miles per hour. Which
equation shows the relationship between
the distance, y, and time, x, the cheetah
runs?
Answer:
y = 70x
Step-by-step explanation:
Note that d = rt where d is the distance, r is the rate/speed, and t is the time. Since we are given that the variable x is the time, 70mph is the speed, and the variable y is the distance, we can substitute these into d = rt, which we get y = 70x.
I hope this helps! :)
plz help in to cool bro
Veronica is buying a new pair of Hollister jeans for $50.00. They are on sale for 25% off.
a. What is the sale price of the jeans?
b. If the sales tax is 6%, how much wil Veronica pay for the jeans after the discount and
taxes?
Answer:
a- $37.50
b- $39.75
Step-by-step explanation:
Hope this helped!
Answer:
a) 37.5
b) 39.75
Step-by-step explanation:
a) 50 (price of jeans) x 0.75 (amount after redution sale 100% - 25%) = 37.5
b) 37.5 (price of jeans after sale) x 1.06 (total price x 6%) = 39.75
Help ASAP I will give u a lot of points
A spinner has five sections ( a,b,c,d,e,) the spinner is spun 84 times what is the experimental property landing on a round to the nearest percent
Answer:
17%
Step-by-step explanation:
Suman sells a house and receives Rs. 14,25,000 after giving 5%
commission. What is the price of his house?
Step-by-step explanation:
selling p= X(let)
commission=5%
here commission amount= X*5/100
did I get this answer right?
Answer:
Yes
Step-by-step explanation:
Yes
Answer:
No, the answer is suppose to be 9.
Step-by-step explanation:
if you did 54 divided by 18 you would get 3. so if you do 54 divided by 3 you would get 18. then if you do 27 divided by 3 it would equal 9.
so therefore your answer will be 9.
please mark as brainly.
quick!! write an equation in slope intercept form using points (-3,0) (3,-4) !
Answer:
i dunno but the slope is -4/6
Step-by-step explanation:
what is 2 divided by 6
Answer:
2.333 repeating
Step-by-step explanation:
you divide 2 by 6 (srry i neede more characters)
you can do the repeat symbol by placing a slash over top of the 3rd 3
In ΔMNO, m = 89 inches, n = 30 inches and o=71 inches. Find the measure of ∠M to the nearest degree.
Answer:118
Step-by-step explanation:
Trust me
In triangle MNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
To find the measure of angle ∠M, we need to use the law of cosines, which states that:
c² = a² + b² - 2ab cos(C)
To find ∠M, which is opposite to side m, so we can use the law of cosines as follows:
m²= n² + o² - 2no cos(∠M)
Substituting the given values, we get:
89² = 30² + 71² - 2(30)(71) cos(∠M)
Simplifying and solving for cos(∠M), we get:
cos(∠M) = (30²+ 71² - 89²) / (2(30)(71))
cos(∠M) = -0.4402
To find the measure of ∠M, we need to take the arccosine of cos(∠M) using a calculator:
∠M = 118.7 degrees
Hence, in ΔMNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees
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write 3/4 as a decimal. Use method 1
Answer:
0.75
Step-by-step explanation:
If x=−1 and y=−3, then 5(x2−7+y)=
Answer:
-60
Step-by-step explanation:
5(-1 times 2 -7 -3) = 60
The value of [tex]5(x^2-7+y)[/tex] at [tex]x=-1,y=-3[/tex] is [tex]-45[/tex].
Important information:
The given expression is [tex]5(x^2-7+y)[/tex].The given values are [tex]x=-1,y=-3[/tex].Value of expression:Substitute [tex]x=-1,y=-3[/tex] in the given expression.
[tex]5((-1)^2-7+(-3))=5(1-7-3)[/tex]
[tex]5((-1)^2-7+(-3))=5(-9)[/tex]
[tex]5((-1)^2-7+(-3))=-45[/tex]
Therefore, the value of [tex]5(x^2-7+y)[/tex] at [tex]x=-1,y=-3[/tex] is [tex]-45[/tex].
Find out more about 'Value of expression' here:
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Jane is studying the weather in Alaska. She has recorded the temperature for four days in January, in degrees Fahrenheit, as shown in the table.
I have attached an image of the complete question.
Answer:
Options A & F are correct
Step-by-step explanation:
From the image attached, we have the following recorded temperature for 4 days in January.
Monday: -5° F
Tuesday: -1° F
Wednesday: 3° F
Thursday: 5° F
Option A is correct because the temperature on Monday and Tuesday is negative and thus below zero.
Option B is not correct because the temperature on Monday and Thursday are not the same since they are -5° F and 5° F respectively
Option C is not correct because the temperature on all days was not above zero since on Monday and Tuesday had negative temperatures
Option D is not correct because the lowest temperature below zero is on Monday and not Thursday
Option E is not correct because the temperature on Wednesday and Thursday are positive and not below zero.
Option F is correct because Monday had a temperature of -5° F which is the lowest gotten below zero
The temperature on Monday and Tuesday is negative and thus below zero.
The temperature on Monday had a temperature -5F which is the lowest value below zero.
Given,
Jane recorded temperature for 4 days in January.
Monday: -5° F
Tuesday: -1° F
Wednesday: 3° F
Thursday: 5° F
According to the question,
Compare the temperature from the given value of the temperature.
This statement is the correct because the temperature on Monday and Tuesday is negative and thus below zero.This statement is not correct because the temperature on Monday and Thursday are not the same since they are -5° F and 5° F respectively. This statement is not correct because the temperature on all days was not above zero since on Monday and Tuesday had negative temperatures.This statement is not correct because the lowest temperature below zero is on Monday and not Thursday This statement is not correct because the temperature on Wednesday and Thursday are positive and not below zero.This statement is correct. because the temperature on Monday had a temperature -5F which is the lowest value below zero.For more information about statement comparison click the link given below.
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need a quick answer please
im board !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
same
Step-by-step explanation:
Answer:
same
Step-by-step explanation: same free coins ;)
asal and jovana call a taxi.the taxi driver charges $1.00 flag fall when they get in the car. the charge is then $2.00 for each kilometer they travel. they have $23 between them. how far can they travel.
Please help me find the y-intercept! :(
At midnight there were 5 inches of snow on the ground. Since then, snow has been falling at the rate of ½ inch per hour. Identify the y-intercept.
Order the numbers from least to greatest.
54%, 2/5, -0.45
SHOW YOUR WORK!
Answer:
-0.45, 2/5, 54%
Step-by-step explanation:
54%=54/100
=87/50
2/5=20/50
-0.45 must be the smallest as it is negative
if f(x)= -3x2 -5x, what is the value of f(-3)? (the 2 is to the second power )
Answer:
-12
Step-by-step explanation:
-3x^2-5x x is -3
-3(-3)^2-5(-3)
-27+15
What is the approximate area of the circle shown below?
OA. 30 cm2
OB. 39 cm2
DC. 121 cm2
OD. 19.5 cm2
Please help ASAP!
Answer:
C. 121cm2
Step-by-step explanation:
The area of a circle is pir^2.
Let pi be rounded to 3.14 and r = 6.2cm
6.2^2*3.14 = 120.76, which rounds to 121cm2
Answer:
C) 21 cm²Step-by-step explanation:
area of a circle = π r²
= π (6.2)²
≈ 21 cm²
What is the value of the expression
1/2 (m-4) • n
A 1/2
B 1
C 2
D 7/2
Answer:
b. 1
Step-by-step explanation:
you lised m = 12 and n = 1/4 so...
1/2(12-4) x 1/4
4 x 1/4 = 4/4 = 1
How can 14 x 50 help you find 14 x 49?
Answer/Explanation:
It might not help you figure out the exact answer, but it definitely helps you estimate. By knowing that 14x50=700, you can guess that 14x49 equals something close to 700.
Hope this helps! Have an amazing day ❤
Write the following in standard form:
2x*3x^2
Answer
1296
Step-by-step explanation:
The explanation is 2x is written as 2*2 = 4
then 3x is written as 3*3 = 9 so
so you do 4*9 = 36 * 2 = 1296
Answer:
The answer to your problem is: 6x³
Find the area of the trapezoid. Please help!
Answer:
Area = 1/2 (a + b )h
area = 1/2 ( 22.2 + 8.52 ) 9.86
area = 1/2 ( 30.72) 9.86
area = 1 x 30.72 x 9.86 ÷ 2
area = 151. 4496cm²
Answer:
The area of the trapezoid is 151.45cm sq
Point C is located at (1, 2), and point D is located at (-4,-2). Find the point that is the distance from point C
to point D. (1 point)
a. (-0.25, 1)
b. (-1.5,0)
c. (-0.5, 1.5)
d. (0.25, 2.25)
Answer:
The answer would be c
Step-by-step explanation:
i choosed c because u have da negative sign in front of 4 and 2 and positive numbers with 1 and 2
Answer:
b
Step-by-step explanation:
I think this means to find the mid-point(?) of the line which by doing that you take both x-values and you add them and then divide by two, and then you take both y-values and add them and then divide by two. So you have: (1+-4)=-3, (-3/2)=-1.5
-1.5=x
(2+-2)=0, (0/2)=0
0=y
(-1.5, 0)