Answer:
The vector
V
=
(
4
,
-
3
)
is at an angle of
−
36.67
°
to the positive
x
-axis.
Explanation:
I'll presume you're looking for the angle which the vector makes with the
x
-axis.
We use our old friend
tan
for this.
tan
θ
=
y
x
⇒
θ
=
tan
−
1
(
y
x
)
⇒
θ
=
tan
−
1
(
−
3
4
)
=
tan
−
1
(
−
0.75
)
⇒
θ
=
−
0.64
⇒
θ
≈
−
36.67
°
Because
tan
−
1
can only return angles between -90° and +90° (that is, in
Q
IV
or
Q
I
), we then check which quadrant the point
(
4
,
-
3
)
is in, to confirm whether we can keep this answer or if we need to add 180°.
(
4
,
-
3
)
is in quadrant 4, and so the value given by
tan
−
1
is fine as it is.
The vector
V
=
(
4
,
-
3
)
is at an angle of
−
36.67
°
to the positive
x
-axis.
B
68°
A
E
D
EB
15. What is the length of CD? (Use 3.14 for $7)
a
31.68
b
29.31
23.14
17.79
Answer:
b = 29.31
Step-by-step explanation:
Given:
m<CEB = 68°
EB = radius = 15
Required:
Length of arc CD
Solution:
Length of arc CD = θ/360 × 2πr
Where,
θ = 180° - 68° = 112° (angles on a straight line)
π = 3.14
r = radius = 15
Plug in the values
Length of arc CD = 112/360 × 2 × 3.14 × 15
= 29.3066667
≈ 29.31
If a system of equations has no solution, what does the graph look like?
A) intersecting lines
B) same lines
C) parallel lines
Please help
Answer:
Step-by-step explanation:
parallel lines
Answer:
C) parallel lines
Step-by-step explanation:
It does not HAVE to be parallel, but it may be.
The others would not yield no solutions
3 units to the right of 8 answer
Answer:
11
Step-by-step explanation:
If you're at 8 and move 3 to the right in a number line, you would end up at 11.
i need help !ASAP!
(screenshot below)
Grace and her friends just dined at a restaurant and left a tip of
$16.93, which was equal to exactly 22% of the total bill. What
was the total bill in dollars? Round your answer to two decimal
places.
Answer:
$76.95
Step-by-step explanation:
If you reverse it the equation is 16.93 divided by .22 and you get the total which is 76.95
You can check your answer by doing 76.95 times .22 and get the tip which is 16.93
PLEASE MARK ME BRAINLIEST
PLEASEEE HELP
Show steps too
Thank you
Answer: C. (-2, 0)
Step-by-step explanation:
5x+6y=-10 3x-2y=-6Now you need to get -2 to equal -6 so it cancels out5x+6y=-10 3(3x-2y)=3(-6)Then distribute the 35x+6y=-10 9x-6y=-18Now add the equations together14x=-28 Now solve for x: Divide both sides by 14x=-2Plug x into either equation to solve for y.3(-2)-2y=-6Distribute -2-6-2y=-6 Add 6 to both sides6 cancels out leaving: -2y=0Divide both sides by -2y=0So, the answer is (-2, 0)! Hope this helps
WILL GIVE BRAINLIEST. SHOW WORK PLEASE
Answer:
See explanation
Step-by-step explanation:
a. [tex]\int\limits^4_1 {(f + g)(x)} \, dx = \int\limits^4_1 {f(x)} \, dx + \int\limits^4_1 {g(x)} \, dx = 11 + 17 = 28[/tex]
b. [tex]\int\limits^6_4 {f(x)} \, dx = \int\limits^6_1 {f(x)} \, dx - \int\limits^4_1 {f(x)} \, dx = 23 - 11 = 12[/tex]
c. [tex]\int\limits^4_1 {3f(x)} \, dx = 3\int\limits^4_1 {f(x)} \, dx = 3(11) = 33[/tex]
d. [tex]\int\limits^4_1 {(g(x) + 2)} \, dx = \int\limits^4_1 {g(x)} \, dx + \int\limits^4_1 \, 2dx = 17 + (8 - 2) = 17 + 6 = 23[/tex]
WILLL MARK BRAINLIEST IF GOTTEN RIGHT!!!! (CARIRDE)))) HELP GIRL!
Answer:
55°
Step-by-step explanation:
Let the centre of the circle be C
mFG=110 (It's hard to read but I assume thats what the 110 marks)
mFG=<FCG=110
Consider ΔFCG (an isosceles triangle since CF=CG=radius). Angles in a triangle add to 180 and <CFG=<CGF so <CFG=(1/2)(180-110)=(1/2)(70)=35°
<EFG+<CFG=90
<EFG+35=90
<EFG=55°
Identify this shape below
what are the missing numbers?
Given:
The table of values of an exponential function.
To find:
The missing values in the exponential function.
Solution:
The general exponential function is defined as:
[tex]y=a(b)^x[/tex] ...(i)
Where, a is the initial value and b is the growth factor.
First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).
[tex]10=a(b)^1[/tex] ...(ii)
Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).
[tex]20=a(b)^2[/tex] ...(iii)
Dividing (iii) by (ii), we get
[tex]\dfrac{20}{10}=\dfrac{a(b)^2}{ab}[/tex]
[tex]2=b[/tex]
Putting [tex]b=2[/tex] in (ii), we get
[tex]10=a(2)^1[/tex]
[tex]\dfrac{10}{2}=a[/tex]
[tex]5=a[/tex]
Putting [tex]a=5,b=2[/tex] in (i), we get
[tex]y=5(2)^x[/tex]
The required exponential function for the given table of values is [tex]y=5(2)^x[/tex]. So, the missing values are 2 and x, where 2 is in the base and x is in the power.
The radius of the planet Saturn is 945% of the radius of Earth. What is 945% expressed as a fraction and as a decimal?
PLZ HELP
(don't send link and there no photo)
Answer:
Decimal: 9.45 Fraction: 236.35/25
Step-by-step explanation:
sorry if the fraction one is wrong.
HELP ME I NEED THIS SO BADLY AND QUICK IF POSSIBLE
Answer:
B
Step-by-step explanation:
If triangle ABC has the following angle measurements, what is the measure of Angle A, Angle B, and Angle C?
m\angle A=7x-12m∠A=7x−12
m\angle B=8x+20m∠B=8x+20
m\angle C=5x+8m∠C=5x+8
m∠A=
m∠B=
m∠C=
the answer for this equation is 499 + 199 equals 599
A line l2 is perpendicular to the line x + 2y – 5 = 0 without computing the gradient of this
line find the equation of l2 if it passes through (3, 4)
Answer:
y=2x-2
Step-by-step explanation:
first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept
add 5 to both sides
x+2y=5
subtract x from both sides
2y=-x+5
divide by 2
y=-1/2x+5/2
perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")
to find the slope of I2:
since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))
so here's our equation so far:
y=2x+b
now we need to find b
because line will pass through (3,4), we can use it to solve for b
substitute 4 as y and 3 as x
4=2(3)+b
multiply
4=6+b
-2=b
therefore the equation is y=2x-2
hope this helps!!
What's the probability of drawing a black card, putting the card back into the deck (replacement), and then drawing a red card? Write the whole decimal.
i dont no okay please stop
hey guys i'm having a rough night and i can't figure out my homework rn i'm just too stress please help
Answer:
4a) Irrational
Step-by-step explanation:
The square root of 20 is irrational. There is no number that can multiplied by itself to equal 20.
For a better explanation, the square root of 25 is rational. 5 can be multipled two times to be equivalent to it. Meanwhile, 20 can't.
What is the simplified expression for Negative 3 c d minus d (2 c minus 4) minus 4 d?
Answer:2-3= ur answer then mutiply it by 4 then boom! hope helpsss\
Step-by-step explanation:
Solve: (-6)(-7)
Divide or multiple
Answer: 42
Step-by-step explanation:
If they are in parentheses, you are going to multiply them, and when you multiply two negatives, you make a positive. which gives you 42.
Help due in 45 minutes!!!
Answer:
x = 5, y = -3
Step-by-step explanation:
2x - 3y = -1 ---› Eqn. 1
-2x + y = 7 ----› Eqn. 2
Add both equations
-2y = 6
Solve for y
y = 6/-2
y = -3
Substitute y = -3 into Eqn. 1.
2x - 3(-3) = -1
2x + 9 = -1
2x + 9 - 9 = -1 - 9
2x = -10
2x/2 = -10/2
x = 5
Solution: x = 5, y = -3
Pls answer this for me. How many paving stones, each 1m long and 80cm wide, are needed to cover a compound 13.6m long and 11m wide?
Answer:
187 paving stones are needed
Step-by-step explanation:
Given
Paving stone
[tex]Length = 1m; Width = 80cm[/tex]
Compound
[tex]Length = 13.6cm; Width = 11m[/tex]
Required
Number of wires to cover the compound
Area is calculated as:
[tex]Area = Length * Width[/tex]
For the paving stone, we have:
[tex]A_1 =1m * 80cm[/tex]
Convert cm to m
[tex]A_1 =1m * 0.80m[/tex]
[tex]A_1 =0.8m^2[/tex]
For the compound, we have:
[tex]A_2 = 13.6m * 11m[/tex]
[tex]A_2 = 149.6m^2[/tex]
Divide the area of the compound by the area of the paving stone
[tex]n = \frac{A_2}{A_1}[/tex]
[tex]n = \frac{149.6}{0.8}[/tex]
[tex]n = 187[/tex]
Given: A = { 1, 2, 3, 4 } , B = { 1, 3, 5, 7 } , C = { 2, 4, 6 } .
A u B =
Step-by-step explanation:
I am sure you are 100 percent Clear. You can follow me to get more answer.
Answer is in your next question.
find the surface area
Answer:
Surface area of what?
You can ask the question again but also add the pic so that we can help :)
lol find the surface of area what????? i can’t see anything
In a class test, +4 marks were awarded for the correct answers and -1 mark for the wrong answers. Student scores 40 marks. If his correct answers were 11, find his wrong answers.
Step-by-step explanation:
Let y the number of wrong answers got.
[tex]11( + 4) + ( - 1)y = 40 \\ 44 - y = 40 \\ - y = - 4 \\ y = 4[/tex]
∴ He got 4 wrong answers.
A triangle has a perimeter of 74 inches. If the three sides of the triangle are n, 3n+6, and 3n−2, what is the length of each side?
Answer:
N=10
3n+6=36
3n-2=28
Step-by-step explanation:see photo
Solve for x.
-32 > -5 +9x
Enter your answer, as an inequality, in the box.
Answer:
-3>x.
Step-by-step explanation:
I did mental math.
solve: 2√(3) cos²A= sinA
Answer:
Step-by-step explanation:
[tex]2\sqrt{3}\cos ^2\left(A\right)=\sin \left(A\right)\\\mathrm{Subtract\:}\sin \left(A\right)\mathrm{\:from\:both\:sides}\\2\sqrt{3}\cos ^2\left(A\right)-\sin \left(A\right)=0\\-\sin \left(A\right)+\left(1-\sin ^2\left(A\right)\right)\cdot \:2\sqrt{3}=0\\\sin \left(A\right)=-\frac{2\sqrt{3}}{3},\:\sin \left(A\right)=\frac{\sqrt{3}}{2}\\\mathrm{Combine\:all\:the\:solutions}\\A=\frac{\pi }{3}+2\pi n,\:A=\frac{2\pi }{3}+2\pi n4[/tex]
The posted speed limit is 45 miles per hour.
Choose all the metric measures that are faster than 45 miles
per hour.
A. 45 km per hour
B. 64.1 km per hour
C. 86.4 km per hour
D. 91 km per hour
E. 112.3 km per hour
Nervous system escape room.
PLZ HELP I WILL MARK BRAINLIEST
Answer:
Image wont load can you explain the problem to me through comments pls?
Step-by-step explanation:
Which of the following equations is equivalent to S= xi?n?
On-S-xr2
S
Golf
S
On-$+$12
Answer:
umm to me its 2--%456
Step-by-step explanation: