Given :
Magnitude of vector is 30 units.
Direction of vector from x-axis is 116°.
To Find :
The component form of the vector.
Solution :
We know, vector in component form is given by :
[tex]\vec{v} = (Acos\ \theta) \hat{i} + (Asin\ \theta)\hat{j}[/tex]
Putting given values,
[tex]\vec{v} = (30\times cos\ 116^o) \hat{i} + (30\times sin\ 116^o)\hat{j}\\\\\vec{v} = -13.15 \hat{i} + 0.90 \hat{j}[/tex]
Hence, this is the required solution.
How are finding the volume of a rectangular prism and a triangular prism alike
Answer:
the triangular prism is ⅓ the size of the rectangular prism. they have the same concept equation of:
rectangular prism - length×width×height
triangular prism - ½×length×width×height
they both have to multiply the base and height to find the volume
Answer:
Finding the volume of a rectangular and triangular prism are alike, one way is they use similar formula base x length x height. Another way is They both have rectangle in the prism.
Step-by-step explanation:
14m + 51 - 6s + 75 - 81 + 115 - 95 - 41 + 10p - 3p + 51
what is the coefficient of m?
Answer:
[tex]14is \: coefficient \: of \: m[/tex]
create an expression that when combined equals 5x+2y
(must be at least 3 terms)
how to evaluate 5a + 3 ?
Answer:
15a
Step-by-step explanation:
Multiply
3
by
5
=
15
a
Look at the picture
Which of the numbers shown in the box below is the
largest?
Answer:
13/2
Step-by-step explanation:
19/3 = 6.33333...
31/5= 6.2
13/2 = 6.5
25/4 = 6.25
Therefore 13/2 is the answer. Hope this helps!
Help me plsssssss????
Answer:
CBD is 120 degrees
Step-by-step explanation:
x=30
4x30+30+30=180
Answer: 120°
Step-by-step explanation:
x + 4x + x = 180° (Since the sum of a straight line is 180°)
6x = 180°
x = 30°
To find the angle of 4x, we need to multiply 4 x 30°
120°
Help me please I don't understand
Answer:
Q1: E N W G Y U
Q2: R D S Q
Q3: X
Q4: B M F P L
1. N 3. L 5. Q 7. W
2. G 4. B 6. E 8. Y
9. S: (-5,+5) 11. D: (-4,+2) 13. M: (+1,-5) 15 X: (-7,-8)
10. R: (-1,+3) 12. U: (+1,+1) 14. P: (+8,-4) 16. F: (+7,-6)
I can't add the points on the graph tho sorry:(
PLSS HELPP!!! I WILL MARK BRAINLIEST
what would type of quadrilateral would A(2, 3) B(-1, 4) C(0, 2) D(-3, 3) create?
Answer:
parallelogram
Answer:
Parallelogram
Step-by-step explanation:
proof:
draw lines from -3,3 to -1,4 then o,2 to 2,3 and the connect the top and bottom
How can you write the expression (-15)(-15)(-15)(-15) using exponents?
a. -15^4
b.(-15)^4
c. 4(-15)
d. 4(-15)^4
Answer:B
Step-by-step explanation:
The woods behind Adam's house were 12 miles wide and 25 miles long. What is the area and perimeter
of the woods?
Answer: Perimeter = 74
Step-by-step explanation:
The relationship between the number of years (x) that have passed and the population (y) for a small town is shown in the table.
Population Count Per Year
2 3 4
Number of Years (x)
1
5
6
7
8
Population (y)
1,440 1,728 2,074 2,488 2,986 3,583 4,300 5,160
A regression equation for this data is y = 1, 200(1.2).
Answer:
D. 10,699
Step-by-step explanation:
The given data for the Population Count Per Year is presented as follows;
Number of Years (x); 1, 2, 3, 4, 5, 6, 7, 8
[tex]\begin{array}{ccccccccc}Number \ of \ Years \ (x)&1&2&3&4&5&6&7&8\\Population \ (y)&1,440&1,728&2,074&2,488&2,986&3,583&4,300&5,160\end{array}[/tex]The data regression equation is y = 1,200·(1.2)ˣ
Based on the regression equation for the data, the predicted value of the town's population after 12 years is given by substituting x = 12 as follows;
After 12 years, y = 1,200 × (1.2)¹² ≈ 10,699.32
Therefore, the option which is the best prediction is 10,699.
SOMONE PLEASE HELO ME SCHOOL ENDS NEXT WEEK
Answer:
sorry dont know 4 or 5 8. 9 but
6. 4 %
7. 60%
Step-by-step explanation:
The graph shows how many calories are in a store's best selling candy.
Answer:
What is the full question?
PLEASE HELP. Will give 70 points!!! Demonstrate In A Brief Paragraph How The Search To Explain Planetary Orbits Exemplifies The Scientific Method and the use of models.
People firstly believe that the planets move in a circular orbit until Newton came up with his hypothesis by inventing calculus so that we could understood and calculated planetary orbits and their accuracy.
Explanation:
Everyone assumed the planets were perfect circles until Newton came up with an idea. Slowly people would make maps of the orbits that added circles on circles, and they could never really explain about the movement of the planet. They simply say that planets move on circles but they lacked the math to explain or prove it. Then Newton came up with an idea of inventing calculus so that we could understood and calculated planetary orbits and their accuracy.
Firstly people used their observations and say that the orbits looked like circles, then they developed their models and did the math, and proposed their hypothesizes which were wrong, until Newton came along and tried to match a model that used elliptical orbits and invented the math that allowed him to make predictions with it. His model worked for most planets.
However he could not explain about the planet Mercury for instance since it was a very strange orbit. Then after the Einstein's theory of General Relativity he could also explain very deeply about it.
Scientists and Astronomers made hypothesizes that there was another planet orbiting too close to the sun to see with telescopes, called Vulcan, that explained mercury's orbit before Einstein's theory. Then long after we had telescopes which was good enough to see if there was a planet orbiting closer to the sun than mercury.
What is the area of the semi circle whose radius is 8cm
Answer:
Area of a semicircle = ½ × πr²
= ½ × 3.14 × (8)²
= 3.14 × 4 × 8
= 100.48 cm²
What is the first term of the quotient of the following division problem?
(х – 1) = (х + 2)
Answer:
I think the answer is C. x^2
Leo flips a paper cup 50 times and records how the cup landed each time. The table below shows the results. Based on the results, how many times can he expect the cup to land on its side if it is flipped 1,000 times?
Answer:440
Step-by-step explanation:
243,700,000 in scientific notation
Answer:
Read explanation, you gotta know how
Step-by-step explanation:
Step 1: What I do is pretty much find where you want the dot to be, which in this case is between the 2 and the 4.
Step 2: right now the dot is all the way to the right, so we gotta move it to the left.
Step 3: start moving the dot to where you want it to be (inbetween the 2 and the 4) and make sure to count how many times you move the dot Left, until you reach the point you want it to be.
step 4: now you have the dot where you want it to be, and you counted how many times you moved the do to get there (Should look like this now= 2.437) you dont need the zeros anymore because 2.43700000 is the same as 2.437.
Step 5: add the scientific notation thing which is (Number) x 10^ (the amount of times you moved the dot to the left)
Step 6: now you have the answer which is 2.347 x 10^8 (dont just skip all the explanation to do this, If you learn how you wont need to waste your points asking the same question again.)
Help me with this question, explain how u get. I’ll give brainliest
ANSWER: 1 SOLUTION
Step 1: Subtract 2x-1 from both sides.
x2−(2x−1)=2x−1−(2x−1)
x2−2x+1=0
Step 2: Factor left side of equation.
(x−1)(x−1)=0
Step 3: Set factors equal to 0.
x−1=0 or x−1=0
x=1
Answer:
x=1
Answer:
x=1
one solution
Step-by-step explanation:
x²= 2x-1
x²-2x+1=0
(x-1)²=0
x-1=0
x=1
one solution
here is the next one. sorry
Answer:
$5.30
Step-by-step explanation:
23.85/9=$2.65
2.65*2=$5.30
Answer:
I don't know if this is right but I got $5.30.
Step-by-step explanation:
I did 23.85/9 to get how much each pane is than I multiplied by 2 to get the cost of the 2 new panes.
23.85/9= 2.65
2.65*2 = 5.3
Peter invested $1860 for 10 months at a rate of 3.8%. How much interest did he earn?
Peter invested $1860 for 10 months at a rate of 3.8%. How much interest did he earn?????
He would end up with 18,600
Answer: he earned 10 percent intrest.
Find cos(a) in the triangle.
Choose 1 answer:
21
А. 21/29
B. 20/29
C. 20/21
D. 21/20
[tex]{\huge{\boxed{\mathcal{\green{ANSWER}}}}} \\ cos( \alpha ) = base \div hypotenuse \\ \\ base \: = \: 21 \\ \\ hypotenuse = 29 \\ \\ cos( \alpha ) = 21 \div 29 \\ \\ {\huge{\boxed{\mathfrak{\red{hope \: it \: helps \: }}}}}[/tex]
A park charges $45 to enter and $0.75 per game. Write an algebraic expression to represent the total amount paid by a guest.
Answer:
y = 0.75x + 45
Step-by-step explanation:
x would be the amount of games played and y would be the total money spent.
Answer:
y= 0.75x+45
Step-by-step explanation:
y= total amount paid by guest
x = # of games
0.75 x = $0.75 paid per game
45= minimum charge of 45 to enter park
A triangle has side length measurements of 7 ft., 2 ft., and 5
feet. Can this form a triangle? Explain why or why not.
Answer:
No
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
2 + 5 is only equal to 7
not greater than 7
Let f(x) = - x ^ 3 - (4x - 1) Find f(- 5)
Answer:
146
Step-by-step explanation:
replace every x with -5
NO WEBSITES/ fake links or your getting reported! Help me with ALL the problems!
Answer:
5 divided by 8 is 0.625
1 divided by 2 is 0.5
3 divided by 5 is 0.6
7 divided by 4 is 1.75
4 divided by 6 is 0.666666666 or 0.6 with the underline if u print this paper out or 0.666
Step-by-step explanation:
u will have to do the model part but i hope i helped
The student who traveled to states visited new states during a vacation. Does increasing the to change the median? If so, how?
Step-by-step explanation:
The exact question is as follows :
Given - The student who traveled to 3 states visited 6 new states during a vacation.
To find - Does increasing the 3 to 6 change the median? If so, how?
Proof -
Yes,
If we increase the 3 states to 6 states, it changes the median
Because
The median of the first 3 states is the middle state.
For example -
If we have 3 states X, Y, Z
Then the median is the state Y
Now,
The median of 6 states is the average of the 2 middle states.
For example -
If we have 6 states
X, Y, Z, U, V, W
Then
The median is not explicit.
Median is the average of the two middle states, Z and U.
And
Average of Z and U = half of the sum of Z and U.
i.e. (Z + U)/2.
And we can see that,
Median of 3 States is not equal to Median of 6 states
i.e. Y is not equal to (Z + U)/2.
So,
We can say that,
Increasing the state 3 to 6 changes the median.
Emily has $100 extra to spend on supplies for her T-shirt-making business.
She wants to buy ink, i, which costs $5 a bottle, and new brushes, b, which are
$12 each. Which inequality below represents this scenario?
A. 12i + 5b < 100
B. 5i + 12b < 100
C. 5i + 12b > 100
D. 5i + 100 < 12b
Answer:
B. 5i + 12b < 100
Step-by-step explanation:
I used process of elimination on to figure this one out.
I first eliminated A because I knew the i should be next to the 5. I know this because i (ink) costs 5 dollars each.
I next eliminated D because this equation is looking to find the sum of the ink and the new brushes, not the ink plus the total cost equaling the brushes.
Finally, I eliminated C because Emily only has $100, so the cost of the ink (i) and the brushes (b) must NOT excede 100 dollars. From this, I can see that C states that the sum exceeds Emily’s $100 budget
This leaves us with B as the final answer
Hope this helps! Have a lovely rest of your day!
A television originally cost
$
2660
. It goes on sale at
10
%
off the original price.
How much do you save when you buy the television now?
Saving = $
What does the television cost now?
Cost now = $
Submit Answer
Answer:
You save $266. The television costs $2394.
Step-by-step explanation:
10% off the original price is $266. The television is 10% off, meaning the new price is 90% of the original price. Therefore, you can subtract $2660 - $266 or multiply 90% × $2660.
10 pts!
1. An island is considering adding another character to their vehicle license plates in order to increase the
number of license plates available. Currently, a license plate must have exactly four-character spaces. Each
character space may be filled with any capital letter other than I, B, Z, or O or any number between, and
including 0 to 9. Letters and numbers may repeat on the plates.
(a) How many different license plate numbers are available under the current structure of exactly four
characters per plate?
Please show all steps and work! Thank you!
Step-by-step explanation:
so 26 minus 4 is 22 for letters so 22 times 22 times 22 times 22 and thats for letters and for numbers its 10 x 10 x 10 x 10 i dont really umderstand the question but you can have 244256 possible license plates there