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.
https://brainly.com/question/13188123
14 ft
48 ft
What is the length of the hypotenuse?
Answer:
50ft
Step-by-step explanation:
use the Pythagorean theorem 14 squared + 48 squared equals 2500 square root of 2500 equals c squared the square root of 2500 is 50
Answer:
50
the Pythagorean theorem states that the hypotenuse of a triangle squared is equal to the sums of the other 2 sides squared.
it can be expressed as so:
c^2=a^2+b^2
therefore
c^2=14^2+48^2
C^2= 196+2304
c^2=2500
square root of 2500 is 50
50=the hypotenuse.
Step-by-step explanation:
I WILL MAKE BRAINIEST AND GIVE EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!
Mrs. Garcia's math test is worth 50 points. If you answer all questions and extra credit correctly, you can score 55 points. How do you represent this situation as a fraction, a decimal, and a percent?
Will give brainliest... Please I need this answer so badly
What is the slope of the line with equation y-3=-1/2(x-2)?
-2
-1/2
1/2
2
Answer: m=-1/2
Step-by-step explanation:
Solve: -1/2x +2=-x+7
Answer:
x = 10
Step-by-step explanation:
-1/2x + 2 = -x + 7
multiply by 2 so that -1/2x becomes -x
(-1/2x + 2 = -x + 7)2
-x + 4 = -2x + 14
subtract 4 from both sides
-x = -2x + 10
add -2x to both sides
x = 10
pls help because im awful at math
Answer:
8/4
Step-by-step explanation:
because 8 is x and x goes first and y is 4 and y goes last
hope this helps!
Work out (5X10^3) x (9X10^7) answer in standard form plz
Answer:
4.5×10¹¹
Answer:
[tex](5 \times 10 {}^{3} ) \times (9 \times 10 {}^{7} )[/tex]
i) use the commutative property to rearrange the terms: a+b = b+a
[tex](5 \times 9) \times (10 {}^{3} \times {10}^{7} )[/tex]
ii) multiply the number in the 1st bracket
[tex]45 \times ( {10}^{3} \times 10 {}^{7} )[/tex]
iii) multiply the 2nd bracket by adding their exponents
[tex]45 \times 10 {}^{3 + 7} [/tex]
[tex]45 \times 10 {}^{10} [/tex]
iv) write the answer in standard form
[tex]4.5 \times 10 {}^{10 + 1} [/tex]
[tex]4.5 \times {10}^{11} [/tex]
The given equation that should be in the standard form should be like a [tex]4.5\times 10^{11}[/tex].
Equation in standard form:Since
The equation is [tex](5\times 10^3) \times (9\times 10^7)[/tex]
Now here we use the commutative property
So,
[tex]45 \times (10^3 \times 10^7)\\\\45 \times 10^{10}\\\\4.5 \times 10^{11}[/tex]
Here, we multiply the number in the 1st bracket, then add, it and then finally in standard form.
Learn more about an equation here: https://brainly.com/question/24271130
Give the coordinate of the point where the line crosses the (a) y-axis and (b) the x-axis for the equation y=3x+1 *
Answer:
y = 3x -1
Step-by-step explanation:
There are 30 students in Ms. Prema's history class. 18 of these students turned in an extra credit project at the end of the semester.
Answer:
12 students didnt turn in a extra credit project at the end of the semester.
Step-by-step explanation:
HELP HELP HELP PLEASE
A line has a slope of 1/4. The line passes through the point (4, 6). The line also passes through the point (12, k). What is the value of k?
write the formula of mode for grouped data,and explain each term in it.
Answer:
Mode =Li+[f1-f0/2f1-f0-f2] *h
Li=lower limit.
F1= first frequency
F0= upper frequency of first frequency.
F2= second frequency.
H= difference between class intervals.
Hope it is helpful
If x = 7, which equations are true?
Step-by-step explanation:
We need the attatchments..
Answer:
you did not attach a picture
Step-by-step explanation:
How much will her mother donate
Random variation in a process indicates __________; whereas non-random variation indicates process __________.
Answer: b. Stability/instability
Step-by-step explanation:
Random variation in a process indicates stability; whereas non-random variation indicates process instability.
When there is random variation in a process, it means that the process is stable and under control such that the only variations are those expected to be in the process.
When the variation is non-random however, it points to instability in process because this variation is special and not inherent in the process.
8) The midsegment of an equilateral triangle measures 6 yards. What is the perimeter of the equilateral
triangle?
A) 18 yards
B) 36 yards
C) 6 yards
D) 9 yards
For f(x) = -3x + 8 , find f(x) when x = -2
(x-10)-(x-20)
simplify this
=======================
Work Shown:
(x-10)-(x-20)
x-10-x+20
(x-x)+(-10+20)
0x+10
0+10
10
A waiter had fifty-seven customers. If twenty-three left, how many customers would the waiter still have?
Answer:
34
Step-by-step explanation:
Answer:
34 customers.
Step-by-step explanation:
57-23=34
HURRY
A bucket holds 10 white golf balls, 3 pink golf balls, and 5 yellow golf balls. Jason selects 1 golf ball from the bucket at random.
What is the probability that the golf ball he selects is white or pink?
5/54
5/13
13/18
13/5
Answer:
I would have to say 5/13 and if I'm wrong I'm sorry just trying to help you out
If R is the midpoint of TS, TR = 5x - 12, and RS = 3x + 8, find TS.
Answer:
5x -12 = 3x +8 (set the two = each other because they are the same length)
2x- 12= 8 (subtract 3x from both sides)
2x = 20 (add 12 to both sides)
x=10 (what x= for both expressions)
5(10) -12 (plug it into the first one to see what the length is and to see they're =
50 - 12 ( I already multiplied, now subtract)
38 (what the length of TR is)
3(10) +8 (plug it in again but into the other expression)
30+8 (multiply and add)
38 (the two have the same answer, so the x-value is correct.)
38+38= 76 (add the lengths of RS and TR and you get the length of TS)
Step-by-step explanation:
I hope this helps :)
Applying the segment addition theorem, the value of TS is: 76
Given:
TR = 5x - 12
RS = 3x + 8
If T is the midpoint of TS, therefore we would have the following equation:
TR = RS
Plug in the expressions5x - 12 = 3x + 8
Add like terms together5x - 3x = 12 + 8
2x = 20
Divide both sides by 2x = 10
TS = TR + RS (segment addition theorem)
SubstituteTS = 5x - 12 + 3x + 8
Plug in the value of xTS = 5(10) - 12 + 3(10) + 8
TS = 50 - 12 + 30 + 8
TS = 76
Learn more about segment addition theorem on:
https://brainly.com/question/1397818
a dozen roses costs $21 at this rate, how much would you expect for four roses
Answer:
$7
Step-by-step explanation:
Divide 21 by 12 which equals 1.75. Multiply by 4 and it's 7.
The cost of four roses is $7.
Given that, a dozen roses costs $21.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
We know that, in one dozen there will be 12 roses.
Now, cost of one rose = 21/12
= $1.75
So, cost of 4 roses = 4×1.75
= $7
Therefore, the cost of four roses is $7.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
Can you help me please?
Answer:
Exponent - Division - Multiplication - Addition - Subtraction
You can burn about 450 calories if you run 5 miles.
How many miles will you need to run to burn 630
calories?
Justify your reasoning.
Answer:
6 miles
Step-by-step explanation: 450 divided by 5 is 90 and if you add 450 plus 90 thats 640 calories which is more then 630!
Natasha invests $600 in a different bank, she gets $60 after two years workout the interest rate that the bank pay
Answer:
hope this helps....... anyways try this
How many solutions does 46x– 23 = 46x + 23 have
Answer:
no solution
Step-by-step explanation:
Let's first try to solve this.
Notice that there is a 46x term on both sides, so we can subtract both sides by 46x, leaving us with:
-23 = 23
Well... this is a false statement: -23 does not equal 23.
Thus, this as no solution.
Answer:
No solutions found
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
46*x - 23 - (46*x + 23) = 0
Equations that are never true
Solve : -46 = 0
This equation has no solution.
A non-zero constant never equals zero.
Which point is a reflection of M(-5, -6) across the y-axis?
Y
8
7
6
5
4
3
2
0
-6 -5 -4 -3 -2
0 1
3
4
5
6
- 2
-3
-4
-5
-6
-8
-9
Answer:
point R
Step-by-step explanation:
reflection rule for the y-axis
p(x, y)->p'(-x, y)
therefore:
M(-5, -6)->R(5, -6)
Noah and his sister are making gift bags for a birthday party. Noah
puts 3 pencil erasers in each bag. His sister puts x stickers in each
bag. After filling 4 bags, they have used a total of 44 items. What is x
Answer:
x=8
Step-by-step explanation:
sorry if thatś not what your looking for
MERRY CHRISTMAS!!!
Answer:
12 bags, 2 pencils, 3 stickers.
Step-by-step explanation:
what is 3085 divided by 2 with the remainder
Answer:
1542 1/2
Step-by-step explanation:
Answer:
1542.5
Step-by-step explanation:
1542.5 can be in one group and the other 1542.5 can be in another group.
What is the coefficient for 6y2−2x+10
Answer:
6
Step-by-step explanation:
because 6 has the highest value of square
3 = 3 + 7k + 7 whats the anwser and steps
Answer: what does they K stand for
Step-by-step explanation:maybe I can help you
9514 1404 393
Answer:
k = -1
Step-by-step explanation:
Subtract 10 and simplify. We choose this value so the constants on the right add up to give 0.
3 -10 = 3 + 7k + 7 -10
-7 = 7k
Divide by 7.
-7/7 = 7k/7
-1 = k