Answer:
4cos(θ)
{4cospheta}
Answer:
4cos(θ)
{4cospheta}
Step-by-step explanation:
[note, brainly doesn't allow pheta to be entered as a symbol when writing an equation, so I had to write it out, my apologies]
[tex]\frac{\sin \left(2pheta \right)}{\sin \left(pheta\right)}+\frac{1+\cos \left(2pheta\right)}{\cos \left(pheta\right)}\\[/tex]
[tex]\frac{1+\cos \left(2pheta\right)}{\cos \left(pheta\right)}\ = 2\cos \left(pheta\right)[/tex]
[tex]\frac{\sin \left(2pheta \right)}{\sin \left(pheta\right)}=2\cos \left(pheta\right)[/tex]
2cos(θ) + 2cos(θ) = 4cos(θ)
so, 4cos(θ) is your answer
(4cospheta)
hope this helps!! :)
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4x+4y=-28
Answer:
y=-x-7
Step-by-step explanation:
Slope-intercept form is y=mx+b
We have the equation 4x+4y=-28 and must put it into the form above. To do this first subtract 4x from both sides.
4x-4x+4y=-28-4x
This equals 4y=-4x-28. Now, divide 4 from both sides.
4y/4=-4x/4-28/4
y=-x-7
Hope this helps!
If not, I am sorry.
Find the length of side BC.
Give your answer to 3 significant figures.
C
A
71°
B
Answer:
BC ≈ 19.4 cm
Step-by-step explanation:
using the cosine ratio in the right triangle
cos71° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{6.3}{BC}[/tex] ( multiply both sides by BC )
BC × cos71° = 6.3 ( divide both sides by cos71° )
BC = [tex]\frac{6.3}{cos71}[/tex] ≈ 19.4 cm ( to 3 sig. figs )
Answer:
19.4°
Step-by-step explanation:
I put the image of how I did it if you don't understand let me know
The cost of the toy is expressed by the function y = 3x + 5, where x is the number of toys. If Peter bought 8 toys, find the cost of the toys.
Answer:
$29
Step-by-step explanation:
Substitute x with 8.
3(8) + 5 = 24+5 = 29
Answer: $29
Step-by-step explanation:
x = # toys
if the number of toys is 8
substitute 8 into x
y = 3(8) + 5
y = 24 + 5
y = 29
Your family is driving to Disney which is 1000 miles away The first day your family drives 600 miles in 10 hours and the second day they drive the remaining distance in 8 hours . What is the average speed of travel for the second day?
Answer:
50 miles per hour
Step-by-step explanation:
Step 1: We subtract 600 from 1000. That gives us 400 miles for the second day.
Step 2: Now we divide that by 8, giving us 50 miles per hour. We have our answer!
I hope this helped!! PLEASE MARK AS BRAINLIEST!! :)The graph shows two lines, A and B:
Based on the graph, which statement is correct about the solution to the tC system of equations for lines A and B?
O (3, 4) is the solution to both lines A and B.
© (3, 4) is the solution to line A but not to line B.
O (0, 2) is the solution to both lines A and B.
O (0, 2) is the solution to line A but not to line B.
Answer:
the answer is (3,4) is the solution to line A but not to line b
Please helpppppppppppppp
Answer:
Inequality would be the answer
Solve the following:
a) 4x 3= 2x + 7
b) 2x+6= 7x14
[tex]4x - 2x = 7 + 3 \\ \\ 2x = 10 \\ \\ x = \frac{10}{2} \\ \\ x = 5.[/tex]
•••••••••••••••••••••••••••••••••••••••Correct Question : 2x + 6 = 7x - 14Solution : 2x + 6 = 7x - 14[tex]2x - 7x = - 14 - 6 \\ \\ - 5x = - 20 \\ \\ x = \frac{20}{5} \\ \\ x = 4.[/tex]
There are eight shirts in your closet, four
blue and four green. you randomly select
one to wear on monday and then a
different one on tuesday. you wear blue
shirts both days.
please show your work, just so i would also understand how to answer this question !!
Answer:
it is a 50 50 %chance so it is random this is called probability the probability of blue is half so it is by chance I chose blue
What is the area of a circle with a radius of 11 meters? Round your answers to the nearest tenth.
A. 34.6 m2
B. 121.0 m2
C. 380.1 m2
D. 760.3 m2
Answer:
380.1
Step-by-step explanation:
A=[tex]\pi[/tex]r^2
A=[tex]\pi[/tex]*11*11
A~ 380.13 m^2
nearest tenth: 380.1
a) Work out (2.3 x 10 to power of 4 x (1.5 x 10 to power of negative 2
Give your answer in standard form.
b) Work out (3.6 x 10 to power of negative 5 + (1.8 x 10 to power of 2)
Give your answer in standard form.
Answer:
A. 345
B. 180
Step-by-step explanation:
That is the right answer
You are riding along a straight river from east to the west at speed of 160m/m. At a given time, you will see the bearing of a church on the other parallel road is N 70 degrees W, and 4 minutes later the bearing is N 56 degrees W. What is the width of the river? (Round your answer to two decimal points)
Using the given information, the width of the river is 505.96 m
Bearing and DistancesFrom the question, we are to determine the width of the river
Consider the given diagram,
Let F be the first position of the biker
S be the second position
and C be the position of the church
First, we will determine the distance covered from F to S
Speed = 160m/min
Time = 4 minutes
Using the formula,
Distance = Speed × Time
Distance covered = 160 × 4
Distance covered = 640 m
That is, /FS/ = 640 m
Now, consider ΔFSC
∠F = 90° - 70° = 20°
∠S = 90° + 56° = 146°
and ∠C = 180° - 20° - 146° = 14°
By the Law of Sines
[tex]\frac{/FC/}{sin\ S}= \frac{/FS/}{sin\ C}[/tex]
∴ [tex]\frac{/FC/}{sin\ 146^\circ}= \frac{640}{sin\ 14^\circ}[/tex]
[tex]/FC/ =\frac{640 \times sin \ 146^\circ}{sin \ 14^\circ}[/tex]
/FC/ = 1479.33 m
Now,
By SOH CAH TOA
[tex]cos \ 70^\circ = \frac{d}{/FC/}[/tex]
NOTE: d is the width of the river
∴ d = /FC/ × cos70°
d = 1479.33 × cos70°
d = 505.96 m
Hence, the width of the river is 505.96 m
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Jocelyn is training for a race by running several miles each day. she tracks her progress by recording her average speed in minutes per mile for each day since she started training. based on the information given, what could jocelyn expect to have for her average speed on the 9th day?
Finding the regression equation, her average speed on the 9th day should be expected to be of 6.92 minutes per mile.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
Researching the problem on the internet, the values of x and y are given as follows:
Values of x: 1, 2, 3, 4, 5, 6.Values of y: 8.2, 8.1, 7.5, 7.8, 7.4, 7.5.Hence, using a calculator, the equation for the average minutes per mile after t days is given by:
V(t) = -0.15143t + 8.28
Hence, for the 9th day, t = 9, hence the estimate is:
V(9) = -0.15143(9) + 8.28 = 6.92 minutes per mile.
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Which statements about the arcs and angles are true? select three options. ∠efd ≅ ∠egd ∠egd ≅ ∠ecd arc e d is-congruent-to arc f d marc e f = 60° marc f d = 120°
The true statements about the arcs and angles in circle C are:
∠EFD ≅ ∠EGD.Arc ED ≅ arc FD.m arc FD = 120°.How to analyze the arcs and angles?In Geometry, the sum of the measures of the interior angles in a quadrilateral is equal to 360°. Thus, we have:
m∠G + m∠GDC + m∠DCE + m∠GEC = 360°
60 + 90 + m∠DCE + 90 = 360
240 + m∠DCE = 360
m∠DCE = 360 - 240
m∠DCE = 120°.
Since ∠DFE is an inscribed angle that is subtended by arc DE, we have:
m∠DFE = m∠DCE
m∠DFE = 120
m∠DFE = 1/2 × 120
m∠DFE = 60°.
Therefore, ∠EFD ≅ ∠EGD.
From circle C, we can deduce that side ED is subtended by arc ED and side FD is subtended by arc FD (side ED ≅ side FD). Thus, arc ED ≅ arc FD and m arc FD is equal to 120°.
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Answer:
A C E
took quiz
I also need help on 3 4 5 if some one can explain it will be really helpful
And I will give 65 points
The equation that shows the relationship between the variables are T = 0.112N, D = 54A and T = 62.5A
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let k represent the constant of proportionality
3) T = kN
28 = 250k
k = 0.112
i) T = 0.112N
ii) T = 0.112(300) = 33.6
iii) 98 = 0.0112N
N = 875
4) D = kA
270 = 5k
k = 54
i) D = 54A
ii) D = 54(4.5) = 243
iii) 324 = 54A
A = 6
5) T = kA
150 = 2.4k
k = 62.5
i) T = 62.5A
ii) T = 62.5(1.8) = 112.5
iii) 3(60) = 62.5A
A = 2.88
The equation that shows the relationship between the variables are T = 0.112N, D = 54A and T = 62.5A
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Which set of coordinates, when paired with (-3, -2) and (-5, -2), result in a square?
(-5, -2) and (-3,-2)
(-3,0) and (0, -2)
(-3,0) and (-5, 0)
(0, -2) and (0, -3)
0000
Step-by-step explanation:
hope this help you the result is In square
One number is 6 more than twice the other number. If the sum of the two numbers is 21, find the two numbers
Answer:
One number, let's call it x, is 6 more than twice the other number, let's say this number is y.
x= 2y+6
x+y=21
We're left with a system of equations.
If we substitute the first equation in the second we find the value of y.
(2y+6)+y=21
3y+6=21
3y=15
y=5
Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.
x+ (5)=21
x=16
Now to check if our answers are correct, we plug in both values into any equation and see if they equate.
x+y=21
(16)+(5)=21
21=21
Our solution is correct!
Solve
A.
A bag has 18 marbles of three different colours.
There are twice as many red marbles as blue
ones.
There are two fewer green marbles than blue ones.
Form an equation to model this situation, and solve
to determine the number of each color marble in
the bag.
B.
The perimeter of a large triangle is 237 cm.
The lengths of the three sides are consecutive
integers, Form an equation to model this situation,
and solve to find the lengths of the three sides.
Answer:
5 blue marbles
10 Red marbles
3 Green marbles
Step-by-step explanation:
5 times 2 = 10
then 5-2 =3
Add 5+10+3
=18 Marbles in total
which of the following functions best describes this graph?
A.y=(x-1)(x-1)
B.y=x^2-5x+6
C. y=x^2-x+5
D. y=( x-3)(x+1)
Answer: y = (x-1)(x-1)
Step-by-step explanation:
There is pretty much no vertical shift so that immediately rules out B and C.
We can solve y = (x-1)(x-1) and get x = 1
The graph shows x = 1 as a zero, so we know this graph is correct.
prove that x-y = √(x+y)^2-4xy?
Proved Below
[tex]\Longrightarrow x-y = \sqrt{(x+y)^2-4xy}[/tex]
[tex]\Longrightarrow x-y = \sqrt{x^2+2(x)(y)+ y^2-4xy}[/tex]
[tex]\Longrightarrow x-y = \sqrt{x^2+2xy-4xy+y^2}[/tex]
[tex]\Longrightarrow x-y = \sqrt{x^2-2xy+y^2}[/tex]
[tex]\Longrightarrow x-y = \sqrt{(x-y)^2}[/tex]
[tex]\Longrightarrow x-y =x-y[/tex]
Let's check
x-y=√(x+y)²-4xy
Solve RHS
√(x+y)²-4xy√x²+2xy+y²-4xy√x²+y²-2xy√(x-y)²x-yHence proved
What is the range of this function?
OA. (3, 5, 7, 11)
OB. (-3, 4, 5, 7)
OC. (-3, 0, 3, 4, 5, 6, 7, 11)
OD. (-3, 0, 4, 6)
Answer:
(-3, 0, 4, 6) (option D)
Step-by-step explanation:
The "range" of a function is all possible y-values. In this image, there are x's entered on the left side--which I know to be x values because a function, f(x) is essentially the outcome of what happens when x is entered.
So, the y-values are featured on the right. All of these values are the possible values for y, or, what we call the range.
Meaning that the range of this function is (-3, 0, 4, 6)
Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distance (in meters). Find v when u is 6 m/s, a is 3 m/s², and s is 29 meters. A. 210−−−√ m/s B. 15 m/s
Answer:
When the initial velocity is 6m/s and acceleration is 3m/s², the final velocity after a distance of 29m is √210m/s.
Step-by-step explanation:
Concept: In the problem it is given that u = 6m/s, a = 3m/s² and s = 29m. We need to find the v. In such kinematical problems, we have an equation v² = u² + 2as. From this relation we can find v.
v² = 6² + 2×3×29
v² = 36 + 174
v² = 210
v = √210 m/s
So, the final velocity is the under-root of 210 or √210 m/s.
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Figure 1 is similar to figure 2. What is the height of figure 1?
8 units
1 unit
2 units
4 units
The height of figure 1 that is similar to figure 2 is: D. 4 units.
What are Similar Figures?The corresponding linear measurements of similar figures are proportional. Therefore, we would have:
4x/2x = x + 1/x
Solve for x
2 = x + 1/x
2x = x + 1
2x - x = 1
x = 1
Height of figure 1 = 4x = 4(1) = 4 units.
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what is the logarthic form
Answer:
Step-by-step explanation:
The answer is (C).
Clem's credit score is 733, while ingrid's credit score is 688. according to the
following table for a $150,000 mortgage, how much more would ingrid have
to pay per month than clem?
fico
interest monthly
score
rate
payment
720-850
5.59% $860
700-719
5.71% $872
675-699
6.25% $924
620-674
7.40% $1039
560-619
8.53% $1157
500-559
9.29% $1238
Ingrid would have to pay 64 per month more than clem.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
fico interest monthly score rate
720-850 5.59% $860
700-719 5.71% $872
675-699 6.25% $924
620-674 7.40% $1039
560-619 8.53% $1157
500-559 9.29% $1238
Clem's score is 733 which is 924 on the chart.
Ingrid's score is 688 which allows her to pay 860 per month.
924 - 860 = 64
Hence,
Ingrid would have to pay 64 per month more than clem.
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MATHHH. Probability section!!! HELP!
please give the right answer.
Answer:
10% or 1 /10
Step-by-step explanation:
'Fish' is on the spinner in one slot out of 10 slots
one out of 10 = 1/10 = 10%
Answer:
10%
Step-by-step explanation:
There are 10 possible areas to land on fish is only shown once meaning there is a 1/10 chance which is = to 10%
what is 10.465 - (-25.21)
Answer: 35.675
Step-by-step explanation:
10.465−(−25.21)
The opposite of −25.21 is 25.21.
10.465+25.21
Add 10.465 and 25.21 to get 35.675.
35.675
This circle is centered at the origin, and the length of its radius is 8. What is
the circle's equation?
or +
5
8
5
OA. x+y=8
OB.x²2² +2²=8
OC. x + y = 64
OD. x² + y² = 64
4
Answer:
D
Step-by-step explanation:
x² + y² = 64, because when x is 0, y = ± 8, when y is 0, x = ± 8, that is the radius r
The equation of a circle with center at the origin and radius 8 is,
⇒ x² + y² = 64
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
This circle is centered at the origin, and the length of its radius is 8.
Since, The equation of a circle with center at the origin and radius r is,
⇒ x² + y² = r.
Hence, for this circle, the equation would be;
⇒ x² + y² = 8²,
or simplified,
⇒ x² + y² = 64
Thus, The equation of a circle with center at the origin and radius 8 is,
⇒ x² + y² = 64
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Cheryl mixes 350ml of cranberry juice with 2 litres of blueberry juice. Write the ratio of cranberry juice: blueberry juice in its simplest form. Find the ratio of 2/5 h to 250 S.
cranberry juice = 350 ml
blueberry juice = 2 liters = 2000 ml
Ratio of cranberry juice : blueberry juice = 350 : 2000 = 7 : 40
The simplest ratio is 7 : 40 or 7/40
pls help i dont understand .Thankkk uuu!!!!
Pls anyone answer
15 - 8 + - 9
Answer:
-2
Step-by-step explanation:
15-8+-9
bodmas
15-8=7
7-9
=-2