Answers
Answer:
magnitude is 4.5 lb, and the direction is given by the angle 250°.
Step-by-step explanation:
We can see that the magnitude is 4.5lb (it is already written in the graph, the "distance" between R and T).
To find the angle, remember that the angle is measured counterclockwise from the positive x-axis.
We can see that the angle, measured clockwise, is 110°
And the angle of a complete revolution is 360°
The sum of the angle measured clockwise and the angle measured counterclockwise should be equal to 360°
Then the angle, measured counterclockwise is given by:
360° - 110° = 250°
Then the magnitude is 4.5lb, and the direction is given by the angle 250°.
Related Questions
9) Three times a number added to 12 gives -6. Find the number.
Answers
Answer:
The number is -6.
Step-by-step explanation:
Variable x = a number
Set up an equation:
3x + 12 = -6
Isolate variable x:
3x = -18
x = -6
Check your work:
3(-6) + 12 = -6
-18 + 12 = -6
-6 = -6
Correct!
Answer:
3x +12=-6
3x=-6-12
3x=-18
x=-18/3
x=-6
What is the percent of pls help I need to finish change fron
45 to 56?
Round to the nearest percent.
Answers
Answer:
Step-by-step explanation:
[tex]\dfrac{45}{56}*100= 0.8035 * 100 = 80.35[/tex] = 80%
it began 63°F, and the temp changed by 8°F over the course of 6 hours whats the minimum and maximum???
Answers
Answer:
Minimum Possible Temperature: 55° F
Maximum Possible Temperature: 71° F
Step-by-step explanation:
Beginning temperature: 63° F
Change in temperature: 8° F
If the temperature decreased: 63° F - 8 °F = 55° F
If the temperature increased: 63° F + 8° F = 71° F
Minimum Possible Temperature: 55° F
Maximum Possible Temperature: 71° F
Can anyone help plz?
Answers
Answer:
just add a small amount and and square the new number
between 2.82 and 2.83 seems a bit closer
Step-by-step explanation:
x x^2
2.8 7.84
2.81 7.8961
2.82 7.9524
2.83 8.0089
2.84 8.0656
2.85 8.1225
2.86 8.1796
2.87 8.2369
Given: A and B are complementary angles. B and C are complementary angles. Prove: A C
Answers
Answer:
see below
Step-by-step explanation:
Complementary means that they add to 90 degrees
<A + <B = 90 given
<B + <C = 90 given
<A + <B = <B + <C substitution property of equality.
<A = <C subtraction property of equality
Quad DEFG with mZD= (12x - 4),
mZE = (18x + 4)ºmZF = (15x + 10), and
m2G= (5x)
What is the value of x?
Answers
Answer: x = 7°
Explanation:
We know that sum of angles of a quadilateral is = 360°
Therefore ATQ
⇒ (12x-4)+(18x+4)+(15x+10)+(5x) = 360
⇒ (12x + 18x + 15x + 5x) + (-4+4+10) = 360
⇒ 50x + 10 = 360
⇒ 50x = 360-10
⇒ 50x = 350
⇒ x = 350/50
⇒ x = 7
Therefore value of x is 7°
Must click thanks and mark brainliest
PLZ HELP! Also, give an explanation. :)
Answers
Answer: First option (your selected answer)
Step-by-step explanation:
(rotating an object 360° will bring it to its original position)
(rotating an object 180° will turn it upside-down)
(rotating an object 90° will make it sideways)
(to calculate the scale factor, pick a point on both triangles that are of the same corner)
ex: A: (-12,12) and A': (4,-4)
(ask yourself what you need to multiply the x and y coordinates of ΔABC by to get the resulting x and y coordinates of the ΔA'B'C')
[tex]-12*-\frac{1}{3}=4\\12*-\frac{1}{3}=-4[/tex]
(you multiply -1/3 to get the x and y value of the second triangle)
(though the provided options do not display the negative scale factor, the scale factor should be negative)
ΔABC - ΔA'B'C', because ΔA'B'C' is obtained by dilating ΔABC by a scale factor of 1/3 and then rotating it about the origin by 180°
FIND AC! PLS HELP!!
Answers
Answer:
AC = 7.3 in
Step-by-step explanation:
tan(51°) = 9/AC
1.24 = 9/AC
AC = 9/1.24
AC = 7.26
Prachi was 555 kilometers east of her home when she began driving farther east at 707070 kilometers per hour. Let f(n)f(n)f, left parenthesis, n, right parenthesis be Prachi's distance from her home at the beginning of the n^\text{th}n th n, start superscript, start text, t, h, end text, end superscript hour of her drive.
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Whenever she began to drive farther east, at 70 km per hour, Prachi was 5 km east of her home.
Let f(n) at the beginning of her nth hour drive be Prachi's distance to her home.
f is a sequence of arithmetic.
Write a series explicit form.
[tex]\to f(n) = 70n + 5[/tex]
Answer:
Arithmetic Sequence, f(n)=5+70(n-1)
Step-by-step explanation:
checked on khan
Help me pls pls help me
Answers
Answer:
F. 1/2
Step-by-step explanation:
If the ratio of team assistants to players are 1/6 and there are 36 players that means that there are 6 team assistants. If we do the ratio of coaches to assistant that would be 3/6 or F. 1/2
Find the missing angle. PLS HELP FAST !
Answers
Answer:
x = 53.5°
Hope this helps... Have a good day!!
Can someone help with these 2?
Answers
Answer:
a. 25 ft squared
b. 0.3
Step-by-step explanation:
a. if the perimeter is 20 that means that each side would be 5 because its a square and 5 x 5 is 25.
b. 0.3 to the third power is 0.027
What is the value of g(f(x)) f(x)=2x^2+3 g(x)=x-4
Answers
Answer:
2x^2 -1
Step-by-step explanation:
f(x)=2x^2+3
g(x)=x-4
g(f(x))
Replace x in g(x) with the function f(x)
g(f(x)) = 2x^2+3 -4
Combine like terms
=2x^2 -1
Find the square root of 1764 by factorisation method
Answers
Answer:
42
Step-by-step explanation:
prime factorisation of 1764 = 2^2 × 3^2 × 7^2
hence,
√1764 = √(2^2 × 3^2 × 7^2) =2 x 3 x 7 = 42
Answer:
42
Step-by-step explanation:
1764 = 2 * 882
= 2 * 2 * 441
= 2 * 2 * 3 * 147
= 2 * 2 * 3 * 3 * 49
= 2 * 2 * 3 * 3 * 7 * 7
[tex]\sqrt{1764} = \sqrt{2*2*3*3*7*7} = 2*3*7 = 42[/tex]
if the population of an anthill doubles every 10 days and there are currently 20 ants living in the ant hill, what will the ant hill population be in 20 days?
Answers
4. (a) Determine the sum of the interior angles of a dodecagon (12-sided polygon). Show your
work.
(b) Determine the sum of the exterior angles.
Answers
Answer:
A.1800 B.360
Step-by-step explanation:
a- 12-2×180=1800
b- 30x12=360
A number cube is rolled three times. What is the probability of rolling a number less than 3 each time?
A) 1/9
B) 1/8
C) 1/27
D) 8/27
Answers
Answer:
1/27
Step-by-step explanation:
The outcomes when rolling a die are 1,2,3,4,5,6
getting less than 3 = 1,2
P( less than 3) = outcomes of less than 3 / total
= 2/6 = 1/3
Since the events are independent we can multiply the probabilities
P( less than 3, less than 3, less than 3) = 1/3 * 1/3*1/3 = 1/27
A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic function . How long does it take for the baseball to reach its maximum height? What is the baseball?s maximum height?
Answers
Answer:
Step-by-step explanation:
Let the initial velocity of the ball is u.
At the maximum height the speed is zero.
Let the time is t.
Use first equation of motion.
v = u - gt
0 = u - g t
t = u/g
Let the maximum height is H.
Use third equation of motion
[tex]v^2 = u^2 - 2 gh\\\\0 = u^2 - 2 gH\\\\H = \frac{u^2}{2 g}[/tex]
Apply the dristrbutie property to factor out the greatest common factor of 9a-18b+21c
Answers
Answer:
3 (3a-6b+7c)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The highest common factor is 3.
9/3 = 3
18/3 =6
21/3 = 7
The literals have no common factors that we know of.
Answer: 3(3a - 6b + 7c)
A survey found that 8 out of 10 parents approved of the new principal’s performance. If 4 parents name are chosen with replacement what is the probability they all approve of the principal’s performance
Answers
Answer:
The probability is 0.044
Step-by-step explanation:
Step-by-step explanation:
Let p be the probability that the new principal’s performance is approved.
This is obtainable from the survey and it is 8/10 = 0.8
Let q be the probability that the new principal’s performance is disproved.
That will be;
1 - q = 1- 0.8 = 0.2
To calculate the probability that 14 parents names are chosen at random and they all
approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.
That will be;
14C14 * p^14 * q^0
= 1 * 0.8^14 * 0.2^0
= 0.043980465111 which is approximately 0.044
Which graph represents a function?
Answers
Answer:
D, the horizontal line is a function
Step-by-step explanation:
To pass the vertical line test, a vertical line cannot go through the function more than once
A is a vertical line so it will fail the vertical line test
B will fail the vertical line test at many points. One example is at
x =0 where you can see it will intersect at two points
C will fail the vertical line test at many points. One example is at
x =0 where you can see it will intersect at two points
D is a horizontal line. This will pass the vertical line test
what is the decimal expansion of -11/15
Answers
Answer:
−0.73333333333333
Step-by-step explanation:
This is the decimal form of -11/15
If the city bus through Austin travels at 40 miles per hour, how many miles
will it travel in 4.5 hours.
Answers
4.5 • 40= 180
A sample of 500 nursing applications included 60 from menThe 95% confidence interval of the true proportion of men who applied to the nursing program is
Answers
Answer:
The correct solution is "(0.092, 0.148)".
Step-by-step explanation:
Given:
Sample size,
n = 500
True proportion,
[tex]\hat {p} = \frac{60}{500}[/tex]
[tex]=0.12[/tex]
The standard error will be:
[tex]SE=\sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
[tex]=\sqrt{\frac{0.12(1-0.12)}{500} }[/tex]
[tex]=\frac{0.12(0.88)}{500}[/tex]
The confidence interval is "1.96".
hence,
The required confidence interval will be:
= [tex](\hat p - 1.96 SE, \hat p + 1.96 SE)[/tex]
By substituting the values, we get
= [tex](0.12-1.96\sqrt{\frac{0.12(0.88)}{500} }, 0.12+1.96\sqrt{\frac{0.12(0.88)}{500} } )[/tex]
= [tex](0.092, 0.148)[/tex]
How many solutions are there to the equations: x+2y=-2 y=1/2x-5
Answers
Answer:
Step-by-step explanation:
x+2y=-2
2y=-x-2
y=-x/2-2/2
y=-x/2-------(1)
y=1/2x-5-----(2)
(1)=(2)
-x/2=1/2x-5
-x=x-10
-2x=-10
x=5
substitute in 2
y=(1/2)*5-5
=5/2-5
=-2.5
Part A
The poll report includes a table titled, “Americans Using Cash Now Versus Five Years Ago, by Age.” The age intervals are not equal. Why do you think the Gallup organization chose the age intervals of 23–34, 35–54, and 55+ to display these results?
Answers
Answer:
These are the intervals of the people who are at least adults and are mature enough to take the survey seriously and answer correctly
Step-by-step explanation:
Decide !!!!!!!!!!!!!!!!!!
Answers
Make note of the coefficients in the first and fourth equations. They've been conveniently picked so that subtracting one equation from the other eliminates every variable but t. We have
(3r + 2s + t + 2u + 3v) - (3r + 2s + 3t + 2u + 3v) = 7 - 17
-2t = -10
t = 5
16. PLEASE HELP ME
Solve the equation by factoring.
z2 - 6z - 27 = 0
A. z = 3 or z = 9
B. z = –3 or z = 9
C. z = –3 or z = –9
D. z = 3 or z = –9
Answers
Answer:
B
Step-by-step explanation:
z^2 - 6z - 27 = 0
(z - 9)(z+3) = 0
z - 9 = 0 z + 3 = 0
z = -3, 9
Name the property shown by the statement a + (b + 2) = (a + b) + 2
Answers
Answer:
The associative property
Step-by-step explanation:
In brief terms, the associative property states that when one has like operations, or an operation and its inverse, one can add parenthesis to the equation without changing the final answer. One can also change the place in which the parenthesis stands in this expression without altering the result. remember, an operation and its inverse refers to any operation and the operation that is done to undo the operation. The following is a list of such operations:
[tex]x^n=b[/tex] [tex]\sqrt[n]{b}=x[/tex]
[tex]a*b[/tex] [tex]a[/tex] ÷ [tex]b[/tex]
[tex]a+b[/tex] [tex]a-b[/tex]
a.) x ≥ 2
b.) x > 2
c.) x < 2
d.) x ≤ 2
Answers
Answer:
x < 2
Step-by-step explanation:
There is an open circle at 2 so that means it is not equal to
The line goes to the left so x is less than 2
x < 2
Answer:
c.) x < 2
Step-by-step explanation:
open circle means > or <
the line is going to the left, meaning < or ≤
from this, we know the inequality is x < 2
