Let a=(-7,3) and b=(-2,-12), and c=a+b. What is the magnitude and direction angle of c?
A. |c|=18; theta=135°
B. |c|=18; theta=225°
C. |c|=9sqrt2; theta=135°
D. |c|=9sqrt2; theta=225°
Answer:
D is correct
Step-by-step explanation:
I got it right on my edge math unit test review.
The value of |c| = 9√2 and θ = 225⁰
What is Magnitude?The magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind.
Here, given values;
a = (-7, 3) and b = (-2, -12)
Now, c = a + b
c = (-7, 3) + (-2, -12)
c = (-9, -9)
Now, |c| = √(9²+9²)
|c| = 9√2
Now, tan θ = |y/x|
tan θ = |-9/-9|
tan θ = 1
tan θ = tan 225⁰
θ = 225⁰
Thus, the value of |c| = 9√2 and θ = 225⁰
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Manny rolls a number cube labeled 1-6 and spins a spinner with four equal sections, labeled 1, 2, 3, and 4. If both numbers are odd, he wins. Otherwise, Gabriel wins. Use a list to find the sample space. Then find the probability that Gabriel wins.
a.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
b.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
c.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
d.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
Answer:
b
Step-by-step explanation:
Answer:
b.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
Step-by-step explanation:
IT'S B
The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and standard deviation $220. What is the probability that the actual expenses will exceed $1560 in 20 or more weeks during the next year?
Answer:
0.0903
Step-by-step explanation:
Given that :
The mean = 1450
The standard deviation = 220
sample mean = 1560
[tex]P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})[/tex]
[tex]P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})[/tex]
[tex]P(X > 1560) = P(Z > \dfrac{110}{220})[/tex]
P(X> 1560) = P(Z > 0.5)
P(X> 1560) = 1 - P(Z < 0.5)
From the z tables;
P(X> 1560) = 1 - 0.6915
P(X> 1560) = 0.3085
Let consider the given number of weeks = 52
Mean [tex]\mu_x[/tex] = np = 52 × 0.3085 = 16.042
The standard deviation = [tex]\sqrt {n \time p (1-p)}[/tex]
The standard deviation = [tex]\sqrt {52 \times 0.3085 (1-0.3085)}[/tex]
The standard deviation = 3.3306
Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.
Then;
Pr ( Y > 20) = P( z > 20)
[tex]Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})[/tex]
[tex]Pr ( Y > 20) = P(Z >1 .338)[/tex]
From z tables
P(Y > 20) [tex]\simeq[/tex] 0.0903
The fifth grade students at East street decided to host a fundraiser for red ribbon week they planed to buy 240 inches of red ribbon how much will it cost them
Answer:
(Amount for 1 inch of red ribbon) x (240) = total cost
Step-by-step explanation:
help asap plspls !! :)
Answer:
-5 1/3
Step-by-step explanation:
This is how it should be shown
I WILL MARK BRAINLIST
Answer:
The answer is D
Step-by-step explanation:
Fred can paint a 30-foot fence in 5 hours. Which of the following is true?
Answer:
lol
Step-by-step explanation:
Solve the formula C = ud for d
Answer:
C/u = d
Step-by-step explanation:
Divide u in both sides
Answer:
if you meant rearrange then:
c=ud
divide both sides by u to get d on its own:
c/u=d
orrrr d=c/u
Consider the transformations performed on quadrilateral WXYZ.
. Translate 7 units to the right and 4 units up.
• Then, rotate 180° about the origin.
Do yk the answer ? Now ?
Answer:
(-4, -5)Step-by-step explanation:
Point Z has coordinates: (-3, 1)
Translate 7 units to the right and 4 units up: (x + 7, y + 4)
Z(-3, 1) → Z'(-3 + 7, 1 + 4) = (4, 5)Then, rotate 180° about the origin: (x, y) → (-x, -y)
Z'(4, 5) → Z''(-4, -5)How many ways are there to pick 5 people from a committee be of 9 people?
Answer: 3024 ways
Step-by-step explanation: 9*8*7*6*5=3024
Help and please show all your work I need this ASAP
What is the REMAINDER of 15,908 divided by 13?
Answer: 1223 and the remainder is 9
Step-by-step explanation:
Find the slope of the line that passes
through these two points.
Answer:
1/5
Step-by-step explanation:
[tex]\frac{2-1}{3--2} = \frac{1}{5}[/tex]
Answer: 1/5
Step-by-step explanation: Following our hint,
let's start with the slope formula.
m = y₂ - y₁ / x₂ - x₁
We take the second y minus the first y over the second x minus the first x.
So we have m = 2 - 1 / 3 - (-2) or 1 / 5.
So our slope is 1/5.
What’s the answer to this? (2 * 198) - 1073 + 20/92 divided by 173/28
Answer:
if you have and piece of clothing that was left behind.
Step-by-step explanation:
Write an equation in function notation for the relation shown in the picture below.
Answer:
y = -x + 2
Step-by-step explanation:
what is the value of the digit in the tens place? 6,423
Answer: 20 :)
Step-by-step explanation:
Can someone help me with this?
Answer:
20
Step-by-step explanation:
4x. x=5
4*5 20
Hope this helps hit the crown :D
A bag of M & M’s has 4 red, 2 green, 3 blue, and 8 yellow M &M’s. What is the probability of randomly picking: a yellow, a blue or green, an orange? Round 4 decimal
Answer:
probability of picking a yellow =0.4706
a blue or green = 0.2941
an orange = 0 ( there is no orange bag)
Solve for x
Enter the solutions from least to greatest.
(x – 7)(-4x − 2) = 0
lesser x =
greater x =
Answer:
X= -1/2 X= 7
Answer:
lesser x= -5 Greater X= 5
Step-by-step explanation:
−x
2
−8
−x
2
x
2
=−33
=−25
=25
Hint #22 / 3
Now we can take the square root of both sides, not forgetting to take both the positive and negative roots of the right-hand side:
\begin{aligned} \sqrt{x^2}&=\sqrt{25} \\\\ x&=\pm 5 \end{aligned}
x
2
x
=
25
=±5
Hint #33 / 3
In conclusion,
\begin{aligned} \text{lesser }x &= -5 \\\\ \text{greater } x &= 5 \end{aligned}
lesser x
greater x
=−5
=5
4 hours worked for $12; 7 hrs worked for $28 are the pair of ratios equal?
Answer:
no they're not equal
Step-by-step explanation:
you can find the ratio by dividing 12/4 and 28/7. 12/4 = 3 and 28/7 = 4. 3 and 4 are not equal, so no.
the least common multiple of 14 and 22
Answer:
Least Common Multiple (LCM) of 14 and 22 is 154.
Answer:
Least Common Multiple (LCM) of 14 and 22 is 154.
Somebody help me answer the question please
Answer:
yes i have finished it done
Step-by-step explanation:
0.5x = 3
What is the value of x?
Answer:
x = 6
Step-by-step explanation:
To solve this equation, we need to isolate x. To do that, we need to divide both sides of the equation by 0.5. That gives us:
0.5x=3
x=3/0.5 = 6
Answer:
x=6
Step-by-step explanation:
0.5x÷0.5=3÷0.5
x=3÷0.5
x=6
If the original quantity is 10 and the new quantity is 15, what is the percent increase?
Given the value of the original quantity and the value of the new quantity, the percentage increase is 50%.
What is percent increase?Percent increase is aimply the amount of increase from the initial value to the new value in terms of 100 parts of the initial value.
It is expressed as;
C = ((x₂ - x₁) / x₁)100%
Where x₁ is initial value and x₂ is new value
Given the data in the question;
Initial value x₁ = 10New value x₂ = 15Percentage increase C = ?We substitute the given values into the expression above.
C = ((x₂ - x₁) / x₁)100%
C = ((15 - 10) / 10)100%
C = (5/10)100%
C = 0.5 × 100%
C = 50%
Therefore, given the value of the original quantity and the value of the new quantity, the percentage increase is 50%.
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enter decimal numbers in the boxes to complete the order pair that locates point Q on the coordinate plane
Answer:
(1.5,-1.5)
Step-by-step explanation:
Hope this helps you
Solve the word problem using a proportion. Danny, who was 6 ft tall, cast a 15 ft shadow. The building he was standing next to cast a 35 ft shadow. How tall was the building? 30 ft, 70 ft, or 14 ft?
Answer: 14 feet
Step-by-step explanation:
Answer:
14 feet
Step-by-step explanation:
Enter the value of the expression p(12+q)−3
p
(
1
2
+
q
)
−
3
when p = 4 and q=34
q
=
3
4
.
Answer:
=pq+12p
Step-by-step explanation:
p(12+q)
=(p)(12+q)
=(p)(12)+(p)(q)
=12p+pq
Answer:
Its 2
Step-by-step explanation:
Just did this, please give brainliest!
Find the surface area of the figure L=6 W=15 H=4
A. 154 m2
B. 308 m2
C. 203 m2
D. 357 m2
Answer:
Step-by-step explanation:
Given
L=6
W=15
H=4
Solution surface area of the figure=2(lb+bh+hl)
=2(6×15+15×4+4×6)
=2(90+60+24)
=2(174)
=348m^2
In a direct variation, y= -1/6 when x=4/3. Write a direct variation equation that shows the relationship between x and y.
Please answer ASAP!
Answer: y = 3x
Step-by-step explanation: For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.
Anyone know this or could help me out?