A child pulls a wagon with a force of 22 pounds. The handle of the wagon makes an angle of 45° with the ground. Express the force vector F in terms of i and j. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Answers
The force vector F in terms of i and j, considering it's magnitude and angle, is represented by:
[tex]V = 11\sqrt{2}i + 11\sqrt{2}j[/tex]
How can a vector be represented in i and j notation?Given a magnitude M and angle [tex]\theta[/tex], the a vector V can be represented as follows:
[tex]V = M\sin{\theta}i + M\cos{\theta}j[/tex]
In this problem, we have that the parameters are as follows:
[tex]M = 22, \theta = 45^\circ[/tex]
Hence:
[tex]V = 22\sin{45^\circ}i + 22\cos{45^\circ}j[/tex]
[tex]V = 22\frac{\sqrt{2}}{2}i + 22\frac{\sqrt{2}}{2}j[/tex]
[tex]V = 11\sqrt{2}i + 11\sqrt{2}j[/tex]
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Related Questions
DC↔ means “ _____ DC”
A. line DC
B. ray DC
C. line segment DC
D. angle DC
Answers
A sphere has a radius of 7/2 feet. What is the volume of the sphere in cubic feet in terms of pi?
Answers
Answer:
57.15π ft³
Step-by-step explanation:
Volume of a Sphere
4/3πr³Here, radius (r) = 7/2 ft.
Solving
V = 4/3 x π x 7/2 x 7/2 x 7/2V = 4/3 x 343/8 x πV = 343/6 x πV = 57.15π ft³will mark brainlist if you answer:)))
Answers
Answer:
Option 3
Step-by-step explanation:
The interquartile range is the same in both with a value of 12. The median and the third quartile are clearly different with the middle bit of the box and the right bit of the box being in different places and the range is quite different with one being 32 and the other one being 24.
in the diagram, AE is tangent to the circle at point a and secant DE intersects the circle at point C and D. the iines intersect outside of the circle at point E
Answers
EA^2 = EC*CD
12^2 = 8*(x+10)
and now ED = EC+CD = 8+x+10
I suspect a typo somewhere in the murk above
X/y=60. z/X=3then X/y+X/z=?
Answers
Answer:
since x/y is 60
z/X is 3 then
X/z is inverse of z/X
there fore X/z is 1/3
60+1/3= 180+1/3
60.33
9 Which expression is equivalent to 53p + (16p+7p)?
A (16p.7p) + 53p
B (53p • 16p): 7p
C (16p + 7p): 53p
D (53p + 16p) + 7p
Answers
The expression 53p + (16p+7p) is equivalent to expression (53p + 16p) + 7p
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 53p + (16p + 7p)
Fifty three times of p plus sixteen p plus seven p.
In the given expression p is the variable and plus is the operator.
We need to find the equivalent expression.
Equivalent expressions are expressions that work the same even though they look different.
53p + (16p + 7p)
76p
(53p + 16p) + 7p is also equal to 76p
Hence, the expression 53p + (16p+7p) is equivalent to expression (53p + 16p) + 7p
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when x=1/3. what is the value of 3x+3/x
Answers
Answer : 10
The angle of elevation to a nearby tree from a point on the ground is measured to be 49
∘
∘
. How tall is the tree if the point on the ground is 53 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Answers
Answer:60.97
Step-by-step explanation: tan 49 = opposite/adjacent = x/53
tan 49 = x/53
tan 49/1 = x/53
53 tan 49 = x
x = 60.969
x = 60.97
The height of tree is 60.97 feet tall on the ground is 53 feet from the tree.
What is a trigonometric function?Trigonometry uses the first six fundamental trigonometric functions. Trigonometric proportions are these functions. The six fundamental trigonometric functions are the sin function, cosine function, secant function, and so on.
As per the data given in the question,
tan 49° = opposite/adjacent
tan 49° = x/53
tan 49/1 = x/53
x = 53 tan 49°
x = 60.969 or,
x = 60.97 feet. (rounding off value)
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HELP, I NEED THIS MY LIFE DEPENDS ON IT.
Answers
Answer:
it’s D
Step-by-step explanation:
it’s not anything else
ur wlcm :)
hope i helped
brainliest?
Answer:
Congruent (A), Parallel (B), and Discs (D).
Step-by-step explanation:
The bases of a cylinder must be two discs which are congruent and parallel to each other.
In a triangle ABC, A=53 Degrees and C= 44Degrees thhen the value of B is:
Answers
180 - 97 = 83
Angle of B is 83 degrees
A two-sided test of H0: μ=0, α=0.05 (two sided), yields a p-value of 0.19. Will the 95% confidence interval for μ include 0?
Group of answer choices
No
Unknown
Yes
Answers
Explanation
Rule: if the p-value is smaller than alpha, then we reject the null.
We're given a p-value of 0.19 and alpha = 0.05
Based on that rule, it means we fail to reject the null (i.e. "accept" the null), since the p-value is not smaller than alpha.
Therefore, we conclude that mu = 0 must be the case, which means this value is in the confidence interval.
If mu = 0 was outside the confidence interval, then we would reject the null.
Which graph represents the solution set of the inequality -14 5 < x?
Answers
Answer:
First graphStep-by-step explanation:
-14.5 < x ⇒ x > -14.5
The angles in a quadrilateral are 4y - 10°, y + 40°, 3y + 20° and 2y + 10° in order as you go around the quadrilateral.
a) Set up and solve an equation, to find the value of y.
b) Hence work out the value of each angle.
c) What type of quadrilateral is this?
Answers
Answer:
see explanation
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the 4 angles and equate to 360
4y - 10 + y + 40 + 3y + 20 + 2y + 10 = 360 , that is
10y + 60 = 360 ( subtract 60 from both sides )
10y = 300 ( divide both sides by 10 )
y = 30
then 4 angles are
4y - 10 = 4(30) - 10 = 120 - 10 = 110°
y + 40 = 30 + 40 = 70°
3y + 20 = 3(30) + 20 = 90 + 20 = 110°
2y + 10 = 2(30) + 10 = 60 + 10 = 70°
Since the angles measures are in order around the quadrilateral, then
the opposite angles are congruent, thus quadrilateral is a parallelogram
Grace and her friends are playing a game that uses two dice. Each die is a tetrahedron - a four‐sided shape with each side an equilateral triangle. Each side of the die contains one of the digits 1, 2, 3, or 4.
a. Create the sample space of all possible outcomes if you were to roll the two dice
simultaneously. List the digit on the first die first and the digit on the second die
second (i.e. 1,1; 1,2; and so on.)
b. What is the theoretical probability that the sum of the two numbers on a roll will
be five?
c. If Grace and her friends were to roll the two dice 100 times, how many of the
100 times could they expect to roll the same number on each die? (In other
words, the outcome would be 1,1 or 2,2 or 3,3 or 4,4.)
WILL GIVE BRAINLIEST! Please no jokes or links :)
Answers
Answer:
Step-by-step explanation:Very interesting problem. Be thankful it is not a six sided dice.Part A1 11 21 31 42 12 22 32 43 13 23 33 44 14 24 34 4Part BThere are 16 possible out comes1 44 12 33 24 out of the 16 outcomes are possibleP(5) = 4/16 = 0.25Part C The theoretical out come would be 4 times4/16 = 0.25On a hundred rolls, you would expect to get 25 sets of doubles.Step-by-step explanation:
What are the coordinates of the point on the directed line segment from (-6, 9)(−6,9) to (4, -1)(4,−1) that partitions the segment into a ratio of 1 to 4?
Answers
What is the value of k?
k =
Answers
can anyone help find the measurement pls ty
Answers
Answer:
4.63 mi
Step-by-step explanation:
consider 3.5 mi as height of the triangle and 4.63 mi as base you can get it.
ixl 7th grade math determine the themes................................................................
Answers
Answer:
user could u make the second image attachment more clear cause that thing is blocking the themes
Which angles are adjacent?
Answers
Answer:
EBF and FBG
Step-by-step explanation:
Adjacent means 'next to each other '
ALL IT SAYS IS SLOVE I REALLY NEED HELP PLEASEEE!!! THANK YOUUU
A. 2 1/16
B. 11/12
C. -11/12
D. -2 1/16
Answers
Answer:
The answer for your question is C
A polygon has one less side than a quadrilateral. What is the polygon?
Answers
Calculate the Area: 6ft 3ft 8ft
I need this asap
Answers
Answer:
Answer is 72
Step-by-step explanation:
6 times 8 is 48. 3 needs to be divided by 2 to made into 1.5. Then multiply 48 and 1.5 to make 72ft your answer
Answer:
A= 12ft
Step-by-step explanation:
At a tournament, the bowling league is providing 160 sandwiches for its members. The table shows the number of different types of sandwiches that were ordered. The ratio of turkey sandwiches to roast beef sandwiches is 5:3. Drag the numbers to complete the table.
Answers
Answer: See below
Step-by-step explanation:
The total number of ordered sandwiches is 160
The total number of Turkey Sandwiches is 80
The ratio of Turkey to Roast Beef is 5:3
So from this, 5 times of a value is 80
So 5x = 80
And x = 16
So the Roast beef sandwiches are 16×3=48
Therefore, the table is:
Sandwich type Number
Turkey 80
Roast Beef 48
Vegetarian 32
5. Brandon and Chloe ride their bikes for 4 hours along a flat, straight road. Brandon’s velocity, in miles per
hour, at time t hours is given by a differentiable function B for 0 st 54. Values of B(t) for selected times t
are given in the table above. Chloe's velocity, in miles per hour, at time t hours is given by the piecewise
function C defined by
C(t)
tep
for 0
12 – 3t – 12 for 2 <154.
(a) How many miles did Chloe travel from time t = 0 to time t = 2 ?
Do not write beyond this border.
Do not write beyond this border.
Answers
Answer:
Step-by-step explanation:
a) ∫from 0 to 2 of te^(4-t^2) dt. Let u = 4-t^2. du= -2dt. And, tdt= -dy/2.
If x=0, u= 4 and if x=2, u=0.
Therefore our new integral will be, -(1/2) ∫ from 0 to 4 of e^u du.
= -(1/2)(e^u) | 0 to 4
= -(1/2)(e^0 - e^4)
= -(1/2) + (1/2)e^4
= (1/2)(e^4 -1) miles
Therefore, from t=0 to t=2, Chloe has travelled a distance of (1/2)(e^4-1) miles.
b) At t=3, C(t)=12-3t-t^2
C(t) is already a function of velocity so simply plug in C(3), which is -6 miles/hour.
We also need to know acceleration.
C'(t)= -3 - 2t
C(3)= - 9 miles/hour squared.
Therefore, since velocity and acceleration are both negative, Chloes speed is increasing at t =3 hours.
Choose SSS, SAS, or neither to compare
these two triangles are congruent
ASA
SSS
SAS
neither
Answers
there are two congruent angles that are between a congruent line segment.
A robot’s height is 1 meter 20 centimeters. How tall is the robot in millimeters?
A. 1,200 millimeters
B. 1020 millimeters
C. 120 millimeters
D. Not here
Answers
Answer:
A
Step-by-step explanation:
There are 1000 mm in one meter
and there are 10 mm in one cm
so
1000 + 20(10) = 1200mm
Therefore the answer is 1200mm
1 M=1000 mm
20cm=200mm
Total=1200
=(x + 4)2 + 6, what is the y-intercept?
Answers
Answer:
Y-intercept is (0,14)
Step-by-step explanation:
(0,14)
Suppose that the world price of baseball caps is €2 and there are no import restrictions on this product. Assume that Spanish
consumers are indifferent between domestic and imported baseball caps.
Instructions: Enter your answers as whole numbers.
a. What quantity of baseball caps will domestic suppliers supply to domestic consumers?
thousand
b. What quantity of baseball caps will be imported?
thousand
Now suppose a tariff of C1 is levied against each imported baseball cap.
C. After the tariff is implemented, what quantity of baseball caps will domestic suppliers supply to domestic consumers?
thousand
d. After the tariff is implemented, what quantity of baseball caps will be imported?
thousand
No
Drov
Answers
Based on the supply and demand of the baseball caps, the relevant supply quantities are:
a. 20,000 baseball caps. b. 60,000 baseball caps.c. 30,000 baseball caps. d. 40,000 baseball caps. What quantity of baseball caps will be supplied domestically?At the price of €2, the supply according to the graph is:
= 20,000 baseball caps.
What quantity will be imported?The quantity imported is shown as:
= Demand at €2 - Domestic supply at €2
= 80 - 20
= 60,000 baseball caps
What quantity will be supplied domestically with the tariff?A tariff of €1 would increase the price to €3.
At this price, the supply would be:
= 30,000 baseball caps.
At the new price, the quantity imported is:
= Demand at €3 - Domestic supply at €3
= 70,000 - 30,000
= 40,000 baseball caps.
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4. Molly spent 1/3 of her summer vacation visiting her grandparents. If she was with them for 19 days, how
long was Molly's summer vacation?
Answers
Help!!
f (x) =-3x+25; Find f(x)=52
Answers
Simplifying
-3x + 25 = 52
Reorder the terms:
25 + -3x = 52
Solving
25 + -3x = 52
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25' to each side of the equation.
25 + -25 + -3x = 52 + -25
Combine like terms: 25 + -25 = 0
0 + -3x = 52 + -25
-3x = 52 + -25
Combine like terms: 52 + -25 = 27
-3x = 27
Divide each side by '-3'.
x = -9
Simplifying
x = -9
