Bryan drives up to a traffic circle from Elm Street. He drives 15 meters around the circle is a perfect circle with a radius of 10 meters, at what angle is Maple Street to Elm Street?
Answers
Answer:
85.9°Step-by-step explanation:
Using the formula for calculating the length of an arc to get the angle of Maple Street to Elm Street;
Length of an arc = θ/360 * 2Πr where r is the radius of the circle.
Given r = 10m and length of the arc = 15m
On substituting;
15 = θ/360 * 2π(10)
15 = θ/360 * 20π
θ/360 = 15/20π
θ/360 = 0.2387
θ = 360* 0.2387
θ = 85.9°
Hence Maple street is at 85.9° to Elm street.
Answer:
[tex]\approx \bold{85.98^\circ}[/tex]
Step-by-step explanation:
Given that
Radius of circle = 10 metres
Bryan drives 15 metres around the circle.
To find:
The angle of Maple street to Elm street = ?
Solution:
Kindly refer to the image attached.
The Elm street meets the circle at A.
Maple street at B.
Given that arc length AB = 15m
Radius of circle = 10 m
We have to find the angle of arc.
Let us use the formula:
[tex]\theta = \dfrac{l}{r}\\\Rightarrow \theta = \dfrac{15}{10} \\\Rightarrow \bold{\theta = 1.5\ radians}[/tex]
Converting to degrees:
[tex]\pi\ rad = 180^\circ\\1.5\ rad = \dfrac{180}{\pi} \times 1.5^\circ\\\theta \approx \bold{85.98^\circ}[/tex]
Related Questions
PLEASE help me. I am stuck on this question for a long time.
Answers
Answer: Plot 1
Step-by-step explanation:
#1 Find the median of the whole set
- since there are 31 data, it is odd, we just need to find the 16th data which is 73.
- the median is 73
#2 Find the median of Less than Q2
- since there are 15 data, it is odd, we just need to find the 8th data which is 64
- the median is 64
#3 Find the median of more than Q2
- since there are 15 data, it is odd, we just need to find the 8th data which is 84
- the median is 84.
-----------------------------------
Putting it back to the box and whisker plot, it will be plot 1
Help! Please simplify: 0.2(3a−1)+0.3−0.6 Thank you!
Answers
Answer:
0.6a - 0.5
Step-by-step explanation:
We can expand 0.2(3a - 1) and evaluate 0.3-0.6, getting 0.6a - 0.2 - 0.3.
We can then simplify this expression, getting 0.6a - 0.5.
Hope this helps !
Select the expression that is equivalent to x + x + y × y × y. Question 11 options: (a)x^2 + 3y (b)2x + 3y (c)x^2 + y^3 (d)2x + y^3
Answers
x+x+y.y.y = 2x+y^3 ( y cube)
So, The answer is (d)
What is the answer to the main problem
Answers
Answer:
x-int: (3, 0)
y-int: (0, -1.5)
Step-by-step explanation:
x-intercept is the x-value when y = 0
y-intercept is the y-value when x = 0
Step 1: Find x-intercept
0 = (x - 3)/2
0 = x - 3
x = 3
(3, 0)
Step 2: Find y-intercept
y = (0 - 3)/2
y = -3/2
(0, -1.5)
Larry pickett earns 6% commission On all sales he also received a $700 bonuses if his commission exceeds $3000 hIs total sales were 65500 what was Total pay
Answers
Answer:
His total pay= $4,630
Step-by-step explanation:
Larry pickett earns:
commission=6% on all sales
He also received a $700 bonuses if his commission exceeds $3000
His total sales were 65500 what was Total pay
Commission= 6% of all sales $65,500
=6/100 × 65,500
=0.06 × 65,500
=3,930
His commission =$3,930
His commission exceeds $3000
Therefore,
His Total pay= Commission + bonus of $700 if his commission exceeds $3,000
=3,930 + 700
=4,630
His total pay= $4,630
Find BC. A. 22.5 in B. 29 in C. 30 in D. 28 in
Answers
Answer: B. 29 mi (which you typed 29 in)
Step-by-step explanation:
Use law of cosine to solve: a²=b²+c²-2bc·cosA (the corresponding angle)
a²=19²+12²-2×19×12×cos (138)
a²=361+144-456cos(138)
a²=505-456cos(138)
a²=843.874 (rounded)
a=29 mi
2 x square + 5 x - 3 = 0
help please
will give brainlest to the first answer
thank you
need the answer asap
Answers
Your question has been heard loud and clear.
2x^2+5x-3=0
Splitting the middle term (5x) we get , -1x+6x
So , 2x^2-1x+6x-3=0
2x^2-1x+6x-3=0
(2x^2-1x)+(6x-3)=0
taking common factor from(2x^2-1x) which is x and taking common factor from (6x-3) which is 3 , we get
x(2x-1)+3(2x-1)=0
So , solution that we get is
(x+3) and (2x-1)
Thank you.
Step-by-step explanation:
2x^2+5x-3=0.
which will be 2x^2+2x+3x-3=0.
2x(x+1)+3(x+1)=0.
2x+3=0,x+1=0.
x=-3/2,x=-1..
I hope this helps but please recheck the question especially 5x is it +5x or -5x.....Thank you for the question
Chiang is filling a 50 ft3 container with water at a rate of 0.5 ft3/min. Interpret
the key features for this situation.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the expression :
Chiang is filling a 50 ft3 container with water at a rate of 0.5 ft3/min. Interpret
50 ft^3 represents the volume of the container which is a product of its length, width and height. The rate is said to be 0.5ft^3 /min. The stated rate represents the volume of the container which Chiang fills each minute. The rate could be obtained by taking the proportion of the entire volume of the container and the time it takes Chiang to fill it.
Here, it will be :
Rate = ( volume of container (ft^3) / time taken (minutes))
Hence 0.5ft^3/min means on average Chiang's fills a volume of 0.5ft^3 of the container each minute.
Suppose you invested $1500 in the stock market 2 years ago. During the first year, the value of the stock increased by 16%. During the second year, the value of the stock decreased by 16%. How much money is your investment worth at the end of the two-year period? (Note: The answer to this question is not $1500.)
Answers
Answer:
$1,461.60
Step-by-step explanation:
Value of the stock in the first year if value increased by 16% = 1500 x (1.16) = $1740
1.16 = 100% + 16% = 116%
Value of the stock in the second year if value decreased by 16% = $1740 x 0.84 = $1,461.60
0.84 = 100% - 16% = 84%
Write the rational number 0.3 in the form ab , where a and b are integers.
Answers
Answer: 3/10
Step-by-step explanation:
Given a decimal number 0.3
To Write the rational number 0.3 in the form ab , where a and b are integers, take it to be :
0.3 /1
Multiply the numerator and the denominator by 10
0.3/1 × 10/10 = 3/10
Therefore, a = 3 and b = 10
the rational number 0.3 in the form ab , where a and b are integers is
3/10
Find the quotient of n(x) = 6x^5y^7 and m(x) = 2x^3y
a. Is n(x) a polynomial? If not, give an explanation.
b. Is m(x) a polynomial? If not, give an explanation.
c. Is the quotient a polynomial? If not, give an explanation.
d. If the quotient is a polynomial, identify type and degree.
Pls help with this!!!
Answers
Answer:
a. Yes
b. Yes
c. Yes
d. Degree 8
Step-by-step explanation:
a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.
b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.
c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:
[tex]\frac{n(x)}{m(x)} =\frac{6\,x^5\,y^7}{2\,x^3\,y} =3\,x^2\,y^6[/tex]
which as can be seen, also contains variables raised to positive integers.
d. The degree of the polynomial resultant is the addition of the powers of all variables present (x and y) which results in: 2 + 6 = 8
Therefore the degree of this polynomial is 8.
If the lengths of PW and PQ are given, can the length of QW be determined?
Answers
Answer:
Yes
Step-by-step explanation:
The length of QW can be determined from PW and PQ by figuring out what the lengths are for Q and W in PW and PQ.
One cleaning solution uses 1 part vinegar with 2 parts water. Other cleaning solution uses 2 parts vinegar with 3 parts water. A student says that this represents a proportional relationship because, in each solution, there is one more part of water than vinegar. What is the error and correct it.
Answers
Answer:
Linear relationship.
Step-by-step explanation:
Given that:
Cleansing solution 1 uses 1 part of vinegar with 2 parts water.
Ratio of vinegar to water = 1:2
Cleansing solution 2 uses 2 part of vinegar with 3 parts water.
Ratio of vinegar to water = 2:3
As per a student, the relationship is proportional.
First of all, let us learn about a proportional relationship.
A proportional relationship is the relationship in which the ratios are equal.
OR
In other words, one variable is always a constant value times higher than the other variable.
Here, we have the ratios as 1:2 and 2:3.
One ratio is 0.5 and other ratio is 0.67 which are not equal.
So, it is not proportional relationship.
As we see there is difference of 1 in each ratio.
i.e. Difference in First solution = 2 - 1 = 1
Difference in Second solution = 3 - 2 = 1
So, there is only a constant value change([tex]y = x+c[/tex]) in the other variable when one variable changes by 1.
So, it can be called Linear relationship and this constant is 1.
The equation can be represented as.
[tex]y = x+1[/tex]
where [tex]y[/tex] represents the parts of water in the solution and
[tex]x[/tex] represents the parts of vinegar in the solution.
can u help me i cant solve
Answers
Answer:
Reflect over the X-axis, then translate (x+6, y+3)Which number is not written in scientific notation
Answers
Answer:
D. 15x10^20
Step-by-step explanation:
The rule for scientific notation is that the coefficient has to be between 1 and less than 10. This means there is only one digit in front of the decimal. 15x10^20 should be written as 1.5x10^21 to follow the rule.
Answer:
Hey there!
e15 times 10^20 isn't written in scientific notation. For a number to be in scientific notation, the leading number must be between 1 and 10.
Let me know if this helps :)
Mr. Dun ford will give 6 pencils to each of his 30 students in his class. There are 12 pencils in each box he will order. He has 24 pencils left from another class. How many boxes of pencils should he order?
Answers
Answer:
The answer is 4
Step-by-step explanation:
Help !!!!!!!!!!!!!!!!
Answers
Answer:
Hey there!
5(v+3)-10v>-10
5v+15-10v>-10
-5v+15>-10
-5v>-25
v<5
Let me know if this helps :)
Answer:
[tex]\Huge \boxed{v < 5}[/tex]
Step-by-step explanation:
5(v + 3) - 10v > -10
Expand brackets.
5v + 15 - 10v > -10
Combine like terms.
-5v + 15 > -10
Subtract 15 from both parts.
-5v > -25
Divide both parts by -5 (flip sign).
v < 5
what other answers are correct?
Answers
2 answers:
B) integer
C) Rational
=========================
The original expression simplifies to -4 which is part of the set of integers {..., -3, -2, -1, 0, 1, 2, 3, ...}
We can write -4 as a fraction of two integers -4 = -4/1, so it is also a rational number.
Because it's rational, it cannot be irrational.
The set of whole numbers is {0, 1, 2, 3, ...} which doesn't involve negative values. If you want to include negative values, then use the set of integers.
(Image) Use Pythagorean Theorem to find the length of the missing side of this right triangle to the nearest tenth.
Answers
x = 10.3
Answer:
The missing side is 10.25
Step-by-step explanation:
Step 1: Use Pythagorean Theorem
[tex]11^{2} = 3.9^{2} + x^{2} \\121 = 15.21 + x^{2}\\121 - 15.21 = x^{2} \\105.79 = x^{2} \\\sqrt{105.79} = \sqrt{x^{2} } \\x = 10.285[/tex]
Therefore the missing side is 10.285
hello there >3 i would like explanation for this :)
Answers
Answer:
75
Step-by-step explanation:
Let t and u represent the tens and units digits, respectively.
t = u + 2 . . . . the tens digit exceeds the units digit by 2
t + 2u = 17 . . . . the sum of the tens digit and twice the units digit is 17
Substituting for t in the second equation, we get ...
(u +2) +2u = 17
3u = 15 . . . . . . . . subtract 2
u = 5 . . . . . . . . . . divide by 3
t = u+2 = 7
The number is 75.
_____
Check
7 exceeds 5 by 2. 7 + twice 5 = 7 + 10 = 17.
Heights of certain plants at a nursery are normally distributed with a mean of 52.5 centimeters and a standard deviation of 7.2 centimeters. If their z-scores are greater than 2.25, the plants are displayed in the main lobby. To the nearest centimeter, what is the minimum required height for this type of plant to be displayed in the main lobby? Question 7 options: 68 cm 55 cm 69 cm 56 cm
Answers
Answer:
The correct option is;
69 cm
Step-by-step explanation:
The z-score, or standard score is a measure of how far a data is from the mean
The z-score, is given by the relation;
[tex]z = \dfrac{x- \mu}{\sigma}[/tex]
Z = Standard score
x = Value observed
μ = The mean height of the plants = 52.5 cm
σ = Standard deviation = 7.2 cm
Given that the z-score = 2.25, we have;
[tex]2.25 = \dfrac{x- 52.5}{7.2}[/tex]
Therefore, x = 7.2 × 2.25 + 52.5 = 68.7 cm ≈ 69 cm
Therefore, the minimum required height for this type of plant to be displayed in the main lobby is 69 cm.
Please answer it as soon as possible.
1. a^4+1+1/a^4
Answers
Explanation:
a^4 + 1 + 1/a^4
= (a^4 x a^4)/a^4 + a^4/a^4 + 1/a^4
= (a^8 + a^4 + 1)/a^4
= [(a^8 + a^4) + 1]/a^4
= a^4(a^4 + 1) + 1)/a^4 (cancel a^4 from both the numerator and denominator)
= a^4 + 1 + 1
= a^4 + 2
(a^4 x a^4)
If m∠JKM = 43, m∠MKL = (8 - 20), and m∠JKL = (10x - 11), find each measure.
1. x = ?
2. m∠MKL = ?
3. m∠DEF = ?
Answers
Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.
1. x = ?
2. m∠MKL = ?
3. m∠JKL = ?
Answer/Step-by-step explanation:
Given:
m<JKM = 43,
m<MKL = (8x - 20),
m<JKL = (10x - 11).
Required:
1. Value of x
2. m<MKL
3. m<JKL
Solution:
1. Value of x:
m<JKL = m<MKL + m<JKM (angle addition postulate)
Therefore:
[tex] (10x - 11) = (8x - 20) + 43 [/tex]
Solve for x
[tex] 10x - 11 = 8x - 20 + 43 [/tex]
[tex] 10x - 11 = 8x + 23 [/tex]
Subtract 8x from both sides
[tex] 10x - 11 - 8x = 8x + 23 - 8x [/tex]
[tex] 2x - 11 = 23 [/tex]
Add 11 to both sides
[tex] 2x - 11 + 11 = 23 + 11 [/tex]
[tex] 2x = 34 [/tex]
Divide both sides by 2
[tex] \frac{2x}{2} = \frac{34}{2} [/tex]
[tex] x = 17 [/tex]
2. m<MKL = 8x - 20
Plug in the value of x
m<MKL = 8(17) - 20 = 136 - 20 = 116°
3. m<JKL = 10x - 11
m<JKL = 10(17) - 11 = 170 - 11 = 159°
Which numbers produce an irrational number when added to 5/8
Answers
Answer:
Irrational numbers
Step-by-step explanation:
Any irrational number plus a rational number like (5/8) creates another irrational number.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
An irrational number is a number that cannot turn into a fraction.
If you add an irrational number to a rational number, the sum is an irrational number because since the number cannot be ended and/or written into a fraction.
Irrational numbers are: Pi and infinity. Pi doesn't ever end, and all the digits (after 0) are different (it's a formula). Infinity has no end, so you cannot write infinity as a fraction.
Pi plus 5/8 is an irrational number.
Infinity plus 5/8 is also an irrational number.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Please help me, what I need help on is in the picture. (Geometry)
Answers
Answer:
34°
Step-by-step explanation:
5x+4+5x-1=73
10x+3=73
10x=73-3
10x=70
x=7
m<ABC=5x-1=5(7)-1=35-1=34°
What value of x will make each equation below true? 4x-1=4x+7
Answers
Answer:
It will have no solution.
Step-by-step explanation:
If this will be solved algebrically , then the the variables will get cancelled .... If this will be solved graphically , then the graphs of both eqns will be parallel to each other....
Answer:
there is no solution
Step-by-step explanation:
4x-1=4x+7
4x - 1 - 4x = 4x + 7 - 4x
-1 = 7
there is no solution .
The vertices A, B, C of a triangle are (2,1),(5,2),and (3,4) respectively . Find the coordinate of the circumcentre and also the radius of the circum-circle of the triangle
Answers
Answer:
Circumcenter = (4,0)
Circumcircle = √5
Step-by-step explanation:
The circumcentre is the point of intersection of the perpendicular bisectors of a triangle. The vertices of the triangle are equidistant to the circumcentre.
Let us assume the coordinate of the circumcentre is at O(x, y). Therefore the distance between the cirmcumcenter and the vertices are:
[tex]AO=\sqrt{(x-2)^2+(y-1)^2} =\sqrt{x^2-4x+4+(y^2-2y+1)}\\=\sqrt{x^2+y^2-4x-2y+5} \\\\BO=\sqrt{(x-5)^2+(y-2)^2} =\sqrt{x^2-10x+25+(y^2-4y+4)}\\=\sqrt{x^2+y^2-10x-4y+29} \\\\CO=\sqrt{(x-3)^2+(y-4)^2} \\=\sqrt{x^2-9x+9+(y^2-8y+16)}=\sqrt{x^2+y^2-9x-8y+25} \\[/tex]
AO = BO, therefore
√(x² + y²-4x-2y+5) = √(x² + y² - 10x - 4y + 29)
x² + y²-4x-2y+5 = x² + y² - 10x - 4y + 29
6x + 2y = 24 (1)
BO = CO
√(x² + y² - 10x - 4y + 29) = √(x² + y² - 9x - 8y + 25)
x² + y² - 10x - 4y + 29 = x² + y² - 9x - 8y + 25
-x + 4y = -4 (2)
Multiply equation 2 by 6 and add to equation 1:
26y = 0
y=0
Put y = 0 in -x + 4y = -4
-x + 4(0) = -4
x = 4
The cicumcenter is at (4, 0)
The radius of the circumcircle = AO = BO = CO. Therefore:
[tex]Radius=AO=\sqrt{(4-2)^2+(0-1)^2} =\sqrt{4+1}=\sqrt{5}[/tex]
9c+3b+4-3c
I’m trying to combine like terms
Answers
Answer:
6c + 3b + 4
Step-by-step explanation:
First, you can group like terms:
9c + 3b + 4 - 3c -----> (9c - 3c) + (3b) + (4)
Then you can add terms:
(9c - 3c) + (3b) + (4) = (6c) + (3b) + (4) = 6c + 3b + 4
Hope this helps!!!
the answer is 3b+6c+4
help pleaseeee i don’t know
Answers
Answer:
B. how long the toy rang
Step-by-step explanation:
In order to test the battery, you need to see which will last the longest. Therefore, you should time how long it rang.
Mr. Ondonez gives his math students 34 quizzes during 17 weeks of school if he gave the same number because it each week how many quizzes does Mr.Ondonez give his students every week
Answers
Answer:
2 quiz
Step-by-step explanation:
Mr Ondonez gives his students 34 quizzes over 17 weeks. They are given the same number of quiz per week. To calculate the number of quiz given per week, we have to divide the total number of quiz given by the total number of weeks. Therefore:
Number of quiz per week = Total number of quiz / Total number of weeks
Number of quiz per week = 34 / 17 = 2
The students are given 2 quizzes per week.
Answer:
2 quiz
Step-by-step explanation: