Answer: Option B.
Step-by-step explanation:
we have that r = 4*θ
(you writted a negative equation, but we can never have a negative radius)
We also have that:
r = √(x^2 + y^2) = 4*θ
We can use the relationship cos(x)^2 + sin(x)^2 = 1
and write X = A*cos(θ) and Y = A*sin(θ)
and now we have:
r = √( (A*cos(θ))^2 + (A*sin(θ))^2) = √(A)^2 = 4*θ
So the correct option is:
x = 4*θ*cos(θ) or -4*θ*cos(θ)
y = 4*θ*sin(θ) or -4*θ*cos(θ)
(We can have the positive or negative options because we are squaring the term, so the sign does not matter)
The correct option then is B
Answer:
C) x = -4θcosθ and y = -4θsinθ
Step-by-step explanation:
Other person was wrong.
HURRY UP PLEASE !!
5 x 2 - 21 = 39 ; Solve and what are the x-intercepts of this quadratic equation ?
Answer:
The x-interecepts are 5.6 and -1.4, approximately.Step-by-step explanation:
The given equation is
[tex]5x^{2} -21x=39[/tex]
Where [tex]a=5[/tex], [tex]b=-21[/tex] and [tex]c=39[/tex], let's use the quadratic formula
[tex]x_{1,2}=\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a} =\frac{-(-21) (+-)\sqrt{(-21)^{2} -4(5)(-39)} }{2(5)}\\ x_{1,2}=\frac{21(+-)\sqrt{441+780} }{10}=\frac{21(+-35)}{10}\\x_{1}=\frac{21+35}{10}=\frac{56}{10} \approx 5.6\\ x_{2}=\frac{21-35}{10}=\frac{-14}{10} \approx -1.4[/tex]
Therefore, the x-interecepts are 5.6 and -1.4, approximately.
5. Cameron found the volume of the cone below, but when he double-
checked his work, he got a different solution. Determine which solution
best represents the volume of the cone.
TRY #1
169.6 in 3
TRY #2
56.5 in 3
Answer:
Try 2 is correct
Step-by-step explanation:
See attachment for dimension of cone.
From the attached,
The diameter of the cone, d = 6 in
The height of the cone, h = 6 in
The volume of a cone is calculated as thus
Volume = ⅓πr²h
So, we need the value of r.
r represents radius and
r = ½d
r = ½ * 6
r = 3.
So,
Volume = ⅓πr²h becomes
Volume = ⅓ * π * 3² * 6
Volume = π * 3 * 6
Volume = π * 18
Volume = 18π
Take π as 3.14
So,
Volume = 18 * 3.14
Volume = 56.52 in³
Given that
Try 1 = 169.6 in³
Try 2 = 56.5 in³
We can conclude that Try 1 is incorrect and Try 2 is correct
Initially, the ratio of Alex’s toy cars to Pete’s toy cars was 7:3. After Alex gave 20 toy cars to Pete, they had each an equal number of cars. How many toy cars did they have altogether?
pete 23 cars alex 23 alex gains 16 cars then 23 plus 23 equals 46
Answer:
100
Step-by-step explanation:
Find the minimum value of the parabola y = x2 + 10.
Answer:
(0,10)
Step-by-step explanation:
The sum of the measures of two exterior angles of a triangle is 252. What is the measure of the third exterior.
Answer:
108°
Step-by-step explanation:
The sum of the exterior angles = 360°, thus
third = 360° - 252° = 108°
Answer:
some of exterior=360,hence360-252=108
What is the relation between the variables in the equation ?
a.
varies inversley as y
c.
y varies directly as
b.
varies directly as y
d.
y varies inversely as
Please help with my homework!
Answer:
The radius of a circle is half the length of its diameter.
The diameter of a circle is twice the length of its radius.
A retail shop is replacing their flooring
with laminate wood. The floor plan is shown
below. Determine the total square feet of
laminate wood needed to complete the the job.
25 ft
8 ft
5 fi
25 ft
35 ft
Answer:
1075 ft
Step by step:
25*35 = 875
8*25 = 200
875+200 = 1075
I don’t get this I gotta find S(t)=
Answer:
multiply s by t
Step-by-step explanation:
you just multiply s times t and get your answer
question below, pls help, IF YOU ANSWER RIGHT: BRAINLIEST THANK YOU!
Answer:
[tex](x+\boxed{6.5})^2=\boxed{18.25}[/tex]
Step-by-step explanation:
[tex]x^2+11x+24=0\\\\(x^2+11x+42.25)-42.25+24=0\\\\(x^2+11x+42.25)-18.25=0\\\\(x+6.5)^2-18.25=0\\\\(x+6.5)^2=18.25[/tex]
Hope this helps!
PLZ HELP I WILL GIVE BRAINLIEST....
1.) The population of a certain city decreased by 10,000 people.
Write a signed number to represent this population change.
2.) A car corporation produced 520 fewer cars this month than last.
Write a signed number to represent this month's change in production
Step-by-step explanation:
1. A decrease means that the 10,000 will be negative, and therefore the answer is -10,000.
2. Fewer means a decrease, and a decrease means that the 520 will be negative. The answer is -520.
Hope this helps!
What is the length of the unknown side of the right triangle?
A right triangle with hypotenuse x and legs 5 and 12
13
17
25
60
Answer:
13
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
We know that the legs are 5 and 12. We also know the hypotenuse is x, or unknown.
Substitute 5 in for a, 12 for b, and x for c.
[tex]5^2+12^2=x^2[/tex]
Evaluate the exponents.
5^2 is the same as 5*5, which is 25.
12^2 is the same as 12*12, which is 144.
[tex]25+144=x^2[/tex]
Add 25 and 144
[tex]169=x^2[/tex]
We are trying to find out what x is. In order to do this, we have to get x alone. Since x is being squared, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.
[tex]\sqrt{169} =\sqrt{x^2} \\\\\sqrt{169}=x\\13=x[/tex]
The hypotenuse is 13.
So the right answer is 13.
Look at the attached picture
Hope it will help you
Good luck on your assignment
will mark bianleasnt
Which of the following side lengths can form a triangle?
21 cm, 23 cm, and 44 cm
14 ft, 17 ft, and 30 ft
2 in, 3 in, and 7 in
12 mm, 36 mm, and 53 mm
Answer: 14, 17, 30
Step-by-step explanation:
In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations:
a + b > c & a + c > b & b + c > a
21 + 23 = 44 which is NOT greater than 44
2 + 3 = 5 which is NOT greater than 7
12 + 36 = 48 which is NOT greater than 53
14 + 17 > 30 & 14 + 30 > 17 & 17 + 30 > 14
so these side length form a triangle
Which form most quickly reveals the vertex?
Choose 1 answer:
m(x) = -2(x - 6)^2 + 18
m(x) = -2(x - 3)(x -9)
m(x) = -2x^2 +24x- 54
Answer:
first option
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
m(x) = - 2 (x - 6)² + 18 ← is in vertex form
with vertex = (6, 18 )
Answer:
The third one.
Step-by-step explanation:
PLEASE HELP!!! 100 points (make sure to show work and be correct)
also answer both questions to get brainiest!!! ASAP!!
Answer:
1. B and E
2. B
Step-by-step explanation:
1. Looking at the line, let's try to establish a relationship between x and y. Take one point (12, 80) and divide y by x:
80 / 12 = 20 / 3
Similarly, if we take (3, 20), we get the same relationship:
20 / 3 = 20 / 3
That means we need to select an ordered pair that follows this relationship:
A. (14, 100) ⇒ 100 / 14 = 50 / 7 --- wrong
B. (15, 100) ⇒ 100 / 15 = 20 / 3 --- correct
C. (16, 100) ⇒ 100 / 16 = 25 / 4 --- wrong
D. (16, 120) ⇒ 120 / 16 = 15 / 2 --- wrong
E. (18, 120) ⇒ 120 / 18 = 20 / 3 --- correct
The possible answers are B and E.
2. Let's say Maya sells b bracelets. That means that she makes 3 * b = 3b dollars for these b bracelets. Look at the answer choices to see which one will have 3 in the x-coordinate and a multiple of 3 in the y-coordinate:
A. (3, 5) ⇒ 5 isn't a multiple of 3, so wrong.
B. (3, 9) ⇒ 3 is the x-coordinate and 9 = 3 * 3, so this is correct.
C. (3, 7) ⇒ 7 isn't a multiple of 3, so wrong.
D. (2, 3) ⇒ 3 isn't even the x-coordinate, so wrong.
The correct answer is thus B.
Answer:
1. B (15,100) & E (18,120)
2. A (3,9)
Step-by-step explanation:
Equation:
y = mx + c
m = (80-20)/(12-3) = 60/9 = 20/3
c = 0
y = 20x/3
(15,100)
100 = 20(15)/2
100 = 100
(18,120)
120 = (20×18)/2
120 = 120
2.
y = 3x
Where y is the amount and x is the no. of bracelet
This is a proportional relationship
From the options, only A satisfies the relationship
PLS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
c
Step-by-step explanation:
because its 0=>-4
which means 0-4
and then its -4-6
which is -10
James has a total of 66 dollars in his piggy bank. He only has one dollar bills and two dollar bills in his piggy bank. If there are a total of 49 bills in James's piggy bank, how many one dollar bills does he have?
He has 32 1 dollar bills and 17 2 dollar bills I THINK
32 + 17 = 49 and 32 + 17(2) = 66
Answer:
32 one-dollar bills
What is the surface area of the triangular prism?
A triangular prism. The rectangular sides are 20 feet by 3 feet, 20 feet by 4 feet, and 20 feet by 5 feet. The triangular sides have a base of 3 feet and height of 4 feet. [Not drawn to scale]
152 square feet
172 square feet
252 square feet
264 square feet
Answer:
252
Step-by-step explanation:
I think I may be wrong
The surface area of the triangular prism is: 252 square feet
What is a triangular prism?A triangular prism is a solid three-dimensional shape with three rectangles and two triangles.
Analysis:
Surface area of triangular prism = area of 3 rectangles + area of two triangles
Surface area = 20 x 4 + 20 x 5 + 20 x 3 + 2 x ( 1/2 x 3 x 4) = 252 square feet
In conclusion, the surface area of the triangular prism is 252 square feet.
Learn more about triangular prism: brainly.com/question/1284982
#SPJ2
Find two numbers, if their sum is 97 and their difference is 7.
Answer:
Step-by-s tep explanation:
Answer:
Step-by-step explanation:
Let m and n represent the numbers. Then m + n = 97 and n - m = 7.
Solving the second equation for n, we get n = m + 7. Substituting m + 7 for n in the first equation we obtain:
m + (m + 7) = 97, or
2m + 7 = 97, or 2m = 90
Dividing both sides by 2, we get m = 45. Then n must be 52.
Can someone help me pls
Answer:
b= 4
Step-by-step explanation:
b-1.6= 2.4
I would add 1.6 to both sides so that b could be on one side. The opposite of -1.6 is 1.6, so b-1.6+ 1.6= 2.4
b= 2.4+ 1.6
Since -1.6+1.6 cancel out, I get b= 2.4+1.6. I add 2.4+ 1.6 to get 4.
b=4
So, b= 4
To check my work I would plug in b back into the equation:
So...
b=4
b-1.6= 2.4
4-1.6= 2.4
Answer:
B=4
Step-by-step explanation:
Hope it will help you!
The volume of a cone is 410.3 mm and has a radius of 7 mm. What is the height of the cone? Round to the nearest hundredths
Answer:
8
Step-by-step explanation:
h=3V
πr2=3·410.3
π·72≈7.99607
Use the Perfect Square Trinomial and provide the first step to calculating 382 without a calculator.
(40 − 2)2
(40 + 2)2
(29 − 9)2
(29 + 9)2
Answer:
[tex](40-2)^2[/tex]
Step-by-step explanation:
Given: [tex](38)^2[/tex]
To find: the correct option
Solution:
A binomial polynomial is a polynomial consisting of two terms.
A trinomial polynomial is a polynomial consisting of three terms.
On multiplying a binomial [tex](x-y)[/tex] to itself, a perfect square trinomial [tex](x-y)^2[/tex] is obtained.
Here, [tex]38=40-2[/tex]
So, [tex](38)^2=(38)(38)=(40-2)(40-2)=(40-2)^2[/tex]
Here, [tex](40-2)[/tex] is a binomial and it is multiplied to [tex](40-2)[/tex] to get a perfect square trinomial [tex](40-2)^2[/tex]
Answer:
(40 − 2)^2
Step-by-step explanation:
(First just do simple math to narrow down your choices)
A: (40 − 2)^2
40 - 2 = 38
B: (40 + 2)^2
40 + 2 = 42
C: (29 − 9)^2
29 - 9 = 20
D: (29 + 9)^2
29 + 9 = 38
(Now you just have A and D)
A: (40 − 2)^2
D: (29 + 9)^2
(Determine which properly expresses a Perfect Square Trinomial)
A: (40 − 2)^2
I just took the test.
In ΔOPQ, the measure of ∠Q=90°, QO = 61 feet, and OP = 83 feet. Find the measure of ∠O to the nearest tenth of a degree.
Answer:
∠ O ≈ 42.7°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos O = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QO}{OP}[/tex] = [tex]\frac{61}{83}[/tex] , thus
∠ O = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{83}[/tex] ) ≈ 42.7° ( to the nearest tenth )
A ship leaves port at noon at a bearing of 293°. The ship’s average rate of speed over this time is 18 miles per hour.
Describe the location of the ship at 3:30 p.m. by writing a vector in component form. Then explain what these components mean in terms of the scenario.
Drag a value into each box to correctly complete the statements.
Answer:
answers at the bottom- basically got the entire question wrong LOL
Step-by-step explanation:
The location or bearing of the ship at 3:30 pm is 24.6 miles north and 58 miles to the west of where the ship left the port.
What is the bearing of an object?The bearing of an object is the direction or location of an object from another place using the northern direction as the reference point.
Given the initial bearing and speed of the ship:
The components form of the vector representing the ship at 3:30 pm is -58, 24.6 miles.
This means the ship is about 24.6 miles north and 58 miles to the west of where the ship left the port.
Therefore, the location of the ship at 3:30 pm is 24.6 miles north and 58 miles to the west of where the ship left the port.
Learn more about bearing at: https://brainly.com/question/19511275
pls answer
take ur time
Answer:
y = 3/4x
Step-by-step explanation:
We need to find the slope of the line
We have point (0,0) and point (4,3)
m = (y2-y1)/(x2-x1)
= (3-0)/(4-0)
=3/4
The y intercept is 0 since it crosses the y axis at 0
The slope intercept form of the line is
y = mx+b
y = 3/4x +0
y = 3/4x
Rewrite the expression in an equivalent form that uses a single exponent
(10^{2} )x^{-3}
Answer:
simply simplify
[tex]\frac{100}{x^{3} }[/tex]
Angles y and z are complimentary. If angle y is 18°, what is the measure of angle z?
18°
36°
72°
162°
Answer:
z = 72°
Step-by-step explanation:
Complimentary angles sum to 90° , thus
z + y = 180, that is
z + 18 = 90 ( subtract 18 from both sides )
z = 72°
So the right answer is 72 degree.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Please answer CORRECTLY !!!!!! Will mark brainliest !!!!!!!!!
Answer:
a= 13+3b
Step-by-step explanation:
Simplifying
a + -7 = 3(b + 2)
Reorder the terms:
-7 + a = 3(b + 2)
Reorder the terms:
-7 + a = 3(2 + b)
-7 + a = (2 * 3 + b * 3)
-7 + a = (6 + 3b)
Solving
-7 + a = 6 + 3b
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + a = 6 + 7 + 3b
Combine like terms: -7 + 7 = 0
0 + a = 6 + 7 + 3b
a = 6 + 7 + 3b
Combine like terms: 6 + 7 = 13
a = 13 + 3b
Simplifying
a = 13 + 3b
Volume8cm what is side lengths
Answer:
length: 2
width: 2
height: 2
Step-by-step explanation:
I'm assuming this is for a rectangular prism, because you didn't provide a picture.
The line represented by the equation 3x + 5y = 2 has a slope of negative StartFraction 3 Over 5 EndFraction.. Which shows the graph of this equation?
Answer:2/5
Step-by-step explanation:
Answer:
I think its B...not completely sure though
Step-by-step explanation: