Answer:
25.796... km
Step-by-step explanation:
We are given that:
Circumference: 81 kmFormula of circumference:
2πr or πdThus, we can rewrite the circumference as:
2πr = πd = 81 kmSince we are asked to determine the diameter, it is recommended to use the formula (πd). Therefore,
πd = 81 kmDivide π both sides to isolate the diameter:
⇒ πd/π = 81 km/π ⇒ d = 81 km/πSubstitute π as 3.14 and simplify:
⇒ d = 81 km/3.14 ⇒ d = 25.796... kmTherefore, the diameter of the circle is 25.796... km.
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
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
solve for x 1 + 2r = 35
Answer:
r = 17
Step-by-step explanation:
calculate: 2r=35-1
divide both sides: 2r=34
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
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:
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.
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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.
How would you find the two triangles are similar?
Answer:
The answer should be A.
Step-by-step explanation:
Well, to determine how two triangles are similar you first look at the image of what they give you.
As you can see the images shows only degree angles.
Looking at your option to see degree angles.
In some options, there is a side length of a triangle, but we aren't given a side length on both triangles so that answer does that apply.
Our last option is between A and D.
D is false as we determine the triangles are similar to each other.
RCW and VCB are vertically opposite meaning their 25° are the same to each other.
We know that every triangle adds up to 180.
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
hard question help me
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
The 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
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.
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which equation is true for y?
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 .
Write a description of the rule.
(x, y) - (x-1, y +9)
translation 1 unit
to the right and 9 units down
translation 1 unit to the left and 9 units down
translation 1 unit to the
right and 9 units up
translation 1 unit to the left and 9 units up
The value a = -1 < 0 represents the translation -1 units to the left and
b = 9 > 0 represents the translation 9 units up is correct.
The rule of transformation is defined as,
( x , y ) → ( x + a , y + b ) (equation - 1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units right and if a<0, then the graph shifts a units left.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
Based on the given conditions, formulate,
(x, y) → (x-1, y+9) (equation - 2)
From (1) and (2) equations,
We get,
a = -1 , b = 9
The value a = -1 < 0 represents the translation -1 units to the left and
b = 9 > 0 represents the translation 9 units up.
Therefore,
Description of the rule is,
The value a = -1 < 0 represents the translation -1 units to the left and
b = 9 > 0 represents the translation 9 units up is correct.
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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
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!
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 xAnswer number 8 and 9 please
Answer:
15%
Step-by-step explanation:
number 8 is 15% because you divide 42 by 280 the number of people to get the pecent you ha e which is 15%
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
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.
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)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.
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.
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:
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
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.
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