Given:
The given polar equation is:
[tex]r=8\cos\theta[/tex]
To find:
The rectangular form of the given polar equation.
Solution:
We know that,
[tex]r^2=x^2+y^2[/tex]
[tex]x=r\cos \theta[/tex]
We have,
[tex]r=8\cos\theta[/tex]
Multiply both sides by r.
[tex]r^2=8r\cos\theta[/tex]
[tex]x^2+y^2=8x[/tex]
Therefore, the correct option is D.
16) Jenna is responsible for changing the broken light bulb in a streetlamp. The streetlamp is 14 feet high. Jenna places the base of her ladder 3 feet from the base of the streetlamp. Jenna can extend the ladder from 10 feet to 14 feet. How long must her ladder be to reach the top of the streetlamp? Will her ladder work?
Use the Pythagorean theorem:
Height is 14, base is 3, so we can calculate the length required.
Length = sqrt(14^2 + 3^2)
Length = sqrt( 196 + 9)
Length = sqrt(205)
Length = 14.32 feet.
The ladder needs to be 14.32 feet. The longest her ladder can be is 14 feet so her ladder won’t work.
Answer:
14.32 is ur awnser
Step-by-step explanation:
simplify 3+4(y-7)+5y
Answer:
9y-25
Step-by-step explanation:
Answer:
9y-25
Step-by-step explanation:
Math
Simplify (2.2 x 10')= (1 104) and write the
answer in scientific notation.
a. 2.2 x 10°
b. 22
c. 2.2 x 1011
d. 2.2 x 10?
Answer:
2.2 × [tex]10^{11}[/tex]
Step-by-step explanation:
2.2 × [tex]10^{7}[/tex] + 1 × [tex]10^{4}[/tex]
2.2 × 1 = 2.2
7 + 4 = 11
estimate 12 8/9 - 10 1/6
Answer: 49/18
Step-by-step explanation:
a) (-6)* = -6° b) (-3) = -3$ c) 82 = (-8)
[tex]( 5 + 4 {)}^{2} = {5}^{2} + {4}^{2} [/tex]
Answer:
pues yo pienso que es 8 es que no se muy bien
Find the value of x. Round your answer to the nearest tenth
(Will give brainiest)
Answer:
Its 67.9 but technically its 67.912 *hope this helps
Step-by-step explanation:
Right scalene triangle.
Sides: a = 66 b = 16 c = 67.912
Area: T = 528
Perimeter: p = 149.912
Semiperimeter: s = 74.956
Angle ∠ A = α = 76.373° = 76°22'23″ = 1.333 rad
Angle ∠ B = β = 13.627° = 13°37'37″ = 0.238 rad
Angle ∠ C = γ = 90° = 1.571 rad
Height: ha = 16
Height: hb = 66
Height: hc = 15.55
Median: ma = 36.674
Median: mb = 66.483
Median: mc = 33.956
Inradius: r = 7.044
Circumradius: R = 33.956
Vertex coordinates: A[67.912; 0] B[0; 0] C[64.142; 15.55]
Centroid: CG[44.018; 5.183]
Coordinates of the circumscribed circle: U[33.956; 0]
Coordinates of the inscribed circle: I[58.956; 7.044]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 103.627° = 103°37'37″ = 1.333 rad
∠ B' = β' = 166.373° = 166°22'23″ = 0.238 rad
∠ C' = γ' = 90° = 1.571 rad
What is the factor of 25w6 + 35w3
Answer:
53(53+7)
Step-by-step explanation:
which one is it?
I'll mark brainliest if correct
Answer:
B
Step-by-step explanation:
Mark me as brainllest
what is 4.13 to the nearest tenth
Answer:
4.1
Step-by-step explanation:
Norma needs to find the sum of the fractions below. 3/8 +5/6 Norma starts by multiplying the first fraction by 3/3.
By which number should she multiply the second fraction?
A.8/8
B.4/4
c.3/3
d.undefined
Answer:
Its A
Step-by-step explanation:
Because if you add 3+5 that is 8 so 8/8
True or false? In order to find the diagonal inside a rectangular prism, you need to use the Pythagorean Theorem two different times
Answer:
The 2D Pythagorean theorem can be applied twice to calculate the longest diagonal inside a rectangular prism.
Step-by-step explanation:
The floor of a rectangular cage has a length 4 feet greater than its width, w. James
will increase both dimensions of the floor by 2 feet. Which equation represents the
new area, N, of the floor of the cage?
Answer:
x² + 8x + 12
Step-by-step explanation:
Area of a rectangle = length × width
Original dimensions:
Width = x
Length = x + 4
James will increase both dimensions of the floor by 2 feet
New dimensions:
Width = x + 2
Length = x + 4 + 2
= x + 6
Area of the new rectangle = length × width
= (x + 2) × (x + 6)
= x² + 6x + 2x + 12
= x² + 8x + 12
Equation which represents the
new area, N, of the floor of the cage = x² + 8x + 12
What is the square root of 200 in a whole
Plz answer
Answer:
The square root of 200 can be simplified as 10√2.
Step-by-step explanation:
hope i helped
Answer:
10[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{2^{3} * 5^{2} }[/tex]
[tex]\sqrt{2^{2} *2*5^{2} }[/tex]
[tex]2\sqrt{2}\sqrt{5^{2} }[/tex]
[tex]2\sqrt{2} *5[/tex]
10[tex]\sqrt{2}[/tex]
a group of 4 friends shares 2 packs of gum equally? there are 8 pieces of gum in each pack. which set of equations shows how many pieces of gum, g each friend recieves?
If 75% of a number is 300 and 20% of the same number is 80, find 95% of that number.
Answer:
380
Step-by-step explanation:
380/400 is 95%
the volume of the cylinder above is 2,119.5^m3 what is the radius of the cylinder
Answer:
7.5
Step-by-step explanation:
Pi * r^2 * 12 = 2119.5
r^2 = 56.25
r = sqrt(56.25) = 7.5
How many solutions does 3(4x - 8) = -24 + 12x have?
Answer:
Infinitely many solutions
Step-by-step explanation:
Find the value of x.
Answer:
x = 5
Step-by-step explanation:
26x + 10x = 180°
36x = 180
x = 180/36
x = 5
Find the value of x and y of the equilateral triangle
Answer:
x = 12
y = 30
Step-by-step explanation:
We know:
All sides of equilateral triangle are equal:
= > 3 x + 8 = 4 x - 4
= > 8 + 4 = 4 x - 3 x
= > x = 12
Also, we know all angles of equilateral triangle is 60. And their sum is 180.
= > 2 y = 60
= > y = 30
Hence we get required answer!
what is the value of √-36
Answer:
6
Step-by-step explanation:
Answer:
Negative 6 or -6
Step-by-step explanation:
Have a great day!
Find the measures of the exterior angles of the polygon.
Answer:
D : 125°,125°,55°,55°
Step-by-step explanation:
Finding the interior angles makes the question easier.
The two base angles for b1 are both 125°, and the two base angles for b2 are both 55°.
Because a straight line is 180°, we can find the exterior angles by subtracting the interior angles from 180°.
180°-55° = 125°
180°-125° = 55°
what is the median for this set of numbers 10,9,23,68,70,4,12,4
Answer:
11
Step-by-step explanation:
Also u can search up mean, median, mode calculator and type in any numbers u want and it will give u the mean, median, mode, range and more
laura has a 3-digit combination lock on her briefcase and has forgtten the combination. If she knows that the first digit is a 3, and the second digit is a prime, how many numbers must Laura try before the lock is sure to open?
Answer:
Laura needs to try 36 more times before the lock is sure to open.
Step-by-step explanation:
Alright, with a three digit lock, there are 9 possible numbers for each digit:
1, 2, 3, 4, 5, 6, 7, 8, and 9.
Since the first one is 3, lets move onto the second digit, which is prime.
Of the numbers between 1-9,
2, 3, 5, and 7 are prime.
With the last digit, it can be any number 1-9.
With all of this, there are 4 combos left for the second digit then 9 combos for the third digit. Therefore, there would be 36 possible combinations as 4 * 9 =36.
Marking brainliest
What human right is based on race? Im doing a research essay and I will talk about how Georgie Floyd’s rights were violated but I don’t know what human right to use
Answer:
Human rights include the right to life and liberty, freedom from slavery and torture, freedom of opinion and expression, the right to work and education, and many more. Everyone is entitled to these rights, without discrimination.
Step-by-step explanation:
these are the 5 basic rights, most of them were taken for george floyd
hope this helped
Which of the following trigonometric ratios are correct?
Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.
sinA = opposite/hypotenusecosA = adjacent/hypotenusetanA = opposite/adjacentNow that we know three basic ratio. Let's check each choices!
sin50° = d/cThis choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.
sin50° = c/xThis choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.
tan50° = d/cThis choice is correct! As ratio states, tanA = opposite/adjacent.
tan50° = x/cThis choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.
cos50° = x/dThis choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.
cos50° = c/xThis choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.
Answer
tan50° = d/ccos50° = c/xQuestions can be asked through comment.
Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.
Hope this helps, and Happy Learning! :)
The product ( the result of a multiplication problem ) of 2 rational expressions is x+22x−3 with the restrictions x≠– 3, x≠32, x≠4 and x≠ 5. Find an expression that meets the criteria. You may leave your answer in factored form.
Answer:
x + 22x - 3 = 4 (5x) + 3 (x-1)
Step-by-step explanation:
x + 22x - 3
23x - 3
20x + 3x - 3
5x + 15x + 3x - 3
5x (1 + 3) + 3 ( x - 1)
4 (5x) + 3 (x-1)
50 decreased by ??? is 40
options are
60% 80%
19% 40%
Answer:
19%
Step-by-step explanation:
40/50 = x/100
solve for x
x is equal to 20%
but out of the answer choices it's 19%.
Answer: 19%
Step-by-step explanation:
50, percentage decreased by 60% (percent) of its value = 20
50, percentage decreased by 80% (percent) of its value = 10
50, percentage decreased by 19% (percent) of its value = 40.5
50, percentage decreased by 40% (percent) of its value = 30
Hence, the answer is 19%
PLEASE HELP WILL MARK BRAINLY NO LINKS ONLY GET ONE AWNSER FOR ME SO NO LINKS OR FUNNY STUFF
Answer: I believe it's 6 5/8
Step-by-step explanation:
Jenny works at a video store. She earns
$6.25 an hour plus $6 for each
membership she sells.
Write a formula that will help Jenny
determine how much she will earn in one
week.
Let's let
a = total amount earned
h = hours worked in one week
b = number of memberships sold in one week
Answer:
You're answer would be 6.25h+6b=a
Larry and 3 friends went to a basketball game. They
paid $5.00 for each of their tickets and each bought a
bag of candy. If they spent a total of $28, how much
was each bag of candy?
Answer:5x3= 15
The tickets were $15 in total
28-15= 13
13:3= 4’3
Each bag of candy was $4’3
Step-by-step explanation: