Answer:
5.1416
Step-by-step explanation:
L = πr + d = 1 * π + 2 [meter] ≈ 5.1416 [meter]
The graph of r = -10 cos θ has which of the following characteristics?
Answer choices are listed below.
Step-by-step explanation:
If we convert
[tex]r = - 10 \cos(x) [/tex]
to a Cartesian equation,
[tex] {r}^{2} = - 10 r \: \cos(x) [/tex]
[tex] {x}^{2} + {y}^{2} = - 10x[/tex]
[tex] {x}^{2} + 10x + {y}^{2} = 0[/tex]
[tex] {x}^{2} + 10x + 25 + {y}^{2} = 25[/tex]
[tex](x + 5) {}^{2} + {y}^{2} = 25[/tex]
So we have a circle with center (-5,0), with a diameter of 10.
Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.
Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.
\frac{20}{29}
29
20
\frac{21}{29}
29
21
\frac{21}{20}
20
21
\frac{29}{21}
21
29
Answer:
21/29
Step-by-step explanation:
Sin = hypotenuse side / opposite side to the angle
then: Sin (C) = 21 / 29
{32,33,34,34,36,38,38,38,40,42} what is the mean of the data set?
Answer:
add up all the numbers and multiply it by 32
Step-by-step explanation:
add up 32 33 34 34 36 38 38 38 40 42 amd then multiply that answer by 32
HELPP?!!!
A supermarket is holding a raffle for a new wrist watch. Out of the 500 tickets sold, David buys tickets numbered 5, 6, 7, and 8. What are the odds in favor of David's winning the raffle?
Answer:
1/125
Step-by-step explanation:
He buys 4 tickets out of 500:
4/500 = 2/250 = 1/125
If x+3/3=y+2/2, then x/3=___
Answer:
y/2
Step-by-step explanation:
(x+3)/3 = (y+2)/2
x/3 + 1 = (y+2)/2
x/3 = (y+2)/2 - 1
= (y+2-2)/2
= y/2
The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between city A and city C is 51 miles.
What type of triangle is created by the three cities?
an acute triangle, because 222 + 542 >512
an acute triangle, because 222 + 512 >542
an obtuse triangle, because 222 + 542 >512
an obtuse triangle, because 222 + 512 >542
Answer:
54 is the hypotenuse due to being the longer side(s).
54 ^2=2916 / 51^2=2601 / 22^2=484 = 2916=2601+484 // 22^2+51^2>54^2
Option B.
Given the line y=3/5x+2 find the perpendicular line passing through the point (12,-7)
Answer:
y=-5/3x+13.
Step-by-step explanation:
As a line that is perpendicular to anoher line has a slope that is the negative reciprocal of the line's original slope, we know that the slope of our new line is -5/3. As it passes point (12, -7), we can use the point slope formula which is y-y1=m(x-x1). So plug in, y+7=-5/3(x-12) and that gives us y+7=-5/3x+20 which gives our final answer of y=-5/3x+13.
What is the greatest common factor of 13x and 14x^3?
Answer:
x
Step-by-step explanation:
13 and 14 share no factors except for 1Both have x in them, so the answer is xThe population of New York City is about 8.4 × 10^6. What is 1/4of the population?
A. 2.1 x 105
B. 2.1 x 106
C. 4.2 x 105
D. 4.2 x 106
Answer:
2.1 x 10^6
Step-by-step explanation:
8.4 x 10^6 / 4 = 2.1 x 10^6
can you help me i kinda in a hurry please
Answer:
x y
2 1
4 2
6 3
Step-by-step explanation:
For each x-value, y is half of it.
Divide each x-coordinate by 2 to find the corresponding y-coordinate.
x y
2 1
4 2
6 3
Step-by-step explanation:
Since y=1/2(x)
x y
2 1
4 2
6 3
Fill in this order
I hope it helped you
Derek is conducting a survey in his school about extracurricular activities. Choose three things he should do to get a representative sample and check that it is representative. CLEAR CHECK Derek should ask people what grade they are in. Derek should randomly choose people only in his grade. Derek should ask people their age. Derek should ask people what their favorite color is. Derek should survey everyone in the school. Derek should offer the survey in multiple languages. NEXT CLOSE Reference calculator formulas glossary CLOSE Language Changes the language of the audio snippets and the glossary ENGLISH
Yh I got one wrong but it's a little light green :) Hope this helps!
hard question help me
Marcia has an abundant supply of 3 cent stamps and 8 cent stamps. She needs to mail a package which requires exactly $2.00 postage. How can she come p with exactly $2.00 using any combination of the 3 cent and 8 cent stamps?
There are 9 different solutions to this problem. Try to find them all and list them.
1
2
3
4
5
6
7
8
9
10
Which equation can be used to find the unknown length, b, in this triangle?
5 in.
4 in
=
O 42+ b2 = 52
O 42-62 = 52
O 52 +42 – 52
Answer:
this question isn't quite clear, is the diagram of the triangle necessary for me to answer this question ?
Step-by-step explanation:
but by simple analysis,
since the "unknown" is b
option (a) which is 42 + b2 = 52 is the best equation.
because we are looking for the value of "b", therefore there should be letter "b" in equation we're going to use. hope you understand...
Hope this helps .
7( x + 3 ) ≤ 4x − 5
Give your answer as an improper fraction in its simplest form.
Answer:
-26/3
Step-by-step explanation:
We open the bracket to get 7x +21 ≤ 4x -5
Find the original price of a salt lamp that is $45 after a 70% discount.
Answer:
$150.00
Step-by-step explanation:
original price = sale price/1-discount
OP=45/1-0.7
OP=45/0.3
OP=150
solve for x 1 + 2r = 35
Answer:
r = 17
Step-by-step explanation:
calculate: 2r=35-1
divide both sides: 2r=34
prove that y=2x^2-6x+7 and y=x^2-2x+3 touch each other and find the point of contact
Answer:
See below ~
Step-by-step explanation:
We need to prove they are equal.
Equate the values to each other.
2x² - 6x + 7 = x² - 2x + 3x² - 4x + 4 = 0(x - 2)² = 0x = 2Now input the x-value in the 1st equation.
y = 2(2)² - 6(2) + 7y = 8 - 12 + 7y = -4 + 7y = 3Now input the same in the 2nd equation.
y = (2)² - 2(2) + 3y = 4 - 4 + 3y = 3Since the same x-value, on inputting in both equations, give the same y-value, it is proved they touch each other.
Point of Contact
(x, y)(2, 3)hich is the joint relative frequency for the people who can only see the sunset?
StartFraction 5 Over 38 EndFraction
StartFraction 7 Over 38 EndFraction
StartFraction 12 Over 38 EndFraction
StartFraction 14 Over 38 EndFraction
Answer:
12/38
Step-by-step explanation:
Answer:
12/38
Step-by-step explanation:
Matching equations with diagrams & finding unknown angles #3
Which equation(s) and angle measurements go with the
diagram. Choose ALL that apply.
Find the value of a.
(Select all that apply.)
please help
Answer: a+51=90, a+51+90=180, 39
Step-by-step explanation:
a+51=90 works because the angles add to form a right angle.
a+51=180 does not work because the angles add to form a right angle, not a straight angle.
a+51+90=180 works because all those angles add to form a straight angle.
a+90=180 does not work because the unknown in this situation refers to a+51, not just a.
Solving the equation, we get a=39, so 39 is also an answer.
5 positive integers are arranged in ascending order, as follows: 7 , 8 , 8 , 10 , x The median and the range are equal. Find x .
Answer:
6.6, 7, 8, 8, 10
Step-by-step explanation:
7+8+8+10+X = 33/5
= 6.6
X= 6.6
Are the two cones congruent? explain and include details to support your claim.
The two cones are not congruent because one of the cones is oblique in nature.
What are congruent shapes?Congruent shapes are identical in size and shape. To put it another way, if you hold an object or element in a mirror, the picture you get is congruent to the object.
However, two figures may seem to be identical, but one side or angle in one figure may deviate significantly from the other. The easiest technique to assess sides and angles to check if they are equivalent or congruent is to use markings on figures.
When we apply that technique to the two figures, we realized that the two cones are not congruent because one of the cones is oblique in nature, this resulted in a difference in the slant height of the cones.
Learn more about congruent figures here:
https://brainly.com/question/25837892
What is the area of the figure below?
Answer:
B. 33cm^2
Step-by-step explanation:
To calculate the area of a figure, you'll need to multiply the base times the height.
So, you calculate the area of the two figures and you add them up.
(4x2) + (5x5) = 33cm^2
Answer:
The answer is B. 33 cm^2
Step-by-step explanation:
Area Formula of Square/Rectangle: Area = Length * Width
Left Box:
Area = Length * Width
Area = 4 cm * 2 cm = 8 cm^2
Right Box:
Area = Length * Width
Area = 5 cm * 5 cm = 25 cm^2
Total Area = 8 cm^2 + 25 cm^2 = 33 cm^2
Karen is using a number line to represent the doors in the school hallway. She labels 0. 25, 0. 5, and 0. 75 on the number line as a scale reference. Where should Karen place a mark to represent a door that is 0. 7 from the start of the hallway? Explain. A. 0. 7 is less than 0. 75, so it is a little to the left of 0. 75. B. 0. 7 is less than 0. 75, so it is a little to the right of 0. 75. C. 0. 7 is greater than 0. 75, so it is a little to the right of 0. 75. D. 0. 7 is greater than 0. 75, so it is a little to the left of 0. 75
Answer:
A
Step-by-step explanation:
which equation is true for y?
The possible hours of daylight in a given day is a function of the day of the year . In Poughkeepsie , New York , the minimum hours of daylight ( occurring on the Winter solstice ) is equal to 9 hours and the maximum hours of daylight ( occurring on the Summer solstice ) is equal to 15 hours If the hours of daylight can be modeled using a sinusoidal equation what is the equation's ampltitude ?
Considering a sinusoidal equation, and the concept of amplitude, if it found that the equation's amplitude is of 3 hours.
What is the amplitude of a sinusoidal equation?It is given by half the difference between the greatest and the smallest value.
In this problem:
The greatest value is of 15 hours.The smallest value is of 9 hours.0.5 x (15 - 9) = 3.
Hence, the equation's amplitude is of 3 hours.
More can be learned about sinusoidal equations at https://brainly.com/question/16818112
#SPJ1
Carl has 9 1/2 cups of juice for a party. If each party goer gets exactly 3/5 cup of juice each, how many party goers will get their 3/5 cup of juice
Answer: 158
Step-by-step explanation:
Okay so the total is 9 5/10.
Each party goer needs 6/10
So 95/10 / 6/0=. 95/10x10/6
=950/6 = 158.
solve for x
x over 7 = 6
Answer:
X = 42
Step-by-step explanation:
What divided by 7 equals 6..... 42! to prove we are right let us plug it into our equation.
42 / 7 = 6
DING DING DING Correct !
Answer:
X = 42
Step-by-step explanation:
Think of this problem as a division problem.
? ÷ 7 = 6
So solve this multiply 7 by 6.
This would leave you with 42.
Therefore 42/7 = 6
Easy Peasy :) Hope this helped! <3
5x^(-2)-17x^(-1)+6
for the love of god help please
Answer:
Pfffttttt- Amateurs, it is quite simple really. Take a nice long look. In the picture is he answer. And I was just joking around, even I had to use a calculator for the answer.
Step-by-step explanation:
Put the x's together, the negatives and the positives.
How many times greater is 8.4 x 109 than 1.5 × 10²?
Answer:
900.6 times greater!
Step-by-step explanation:
8.4 x 109 = 915.6
10 by the power of 2 is 100 so;
1.5 x 100 = 15
915.6 > 15
915.6 - 15 = 900.6