Answer:
a) [tex]\boxed{Area of Sector AOB = 23.3 units^2}[/tex]
b) [tex]\boxed{Arc Length = 5.84 units}[/tex]
Step-by-step explanation:
a) Area of Sector AOB = [tex]\frac{1}{2} r^2 \theta[/tex]
Where r = 8, θ = 41.8 degrees
Firstly, Angle in Radians
=> 41.8 degrees = 0.73 radians
So,
Area of Sector AOB = [tex]\frac{1}{2} (8)^2 (0.73)[/tex]
Area of Sector AOB = [tex]\frac{1}{2} (64)(0.73)[/tex]
Area of Sector AOB = 23.3 units²
b) Finding the length of minor arc AB
So,
Arc Length = Radius × [tex]\theta[/tex]
Where Radius = 8, [tex]\theta[/tex] = 0.73 radians
Arc Length AB = 8 * 0.73
Arc Length = 5.84 units
Answer:
1337.6 cm squared
Step-by-step explanation:
Using formula: [tex]A=(x/2)*r^{2}[/tex]
[tex]A=(41.8/2)*8^{2}[/tex]
What are the zeros of f(x) = x2 - 8x+ 15?
Answer:
x=5 x=3
Step-by-step explanation:
f(x) = x^2 - 8x+ 15
Factor
What two numbers multiply to 15 and add to -8
-5*-3 = 15
-5+-3 = -8
f(x) = (x-5) (x-3)
Setting equal to 0
0= (x-5) (x-3)
Using the zero product property
x-5 =0 x-3=0
x=5 x=3
One advantage to using your debit card is: A:You don’t have to subtract it from your checking account balance B: It is convenient C:You can spend as much as you want D:You can give your friend the PIN number in case you forget it. Plz help me
Answer:
B.
Step-by-step explanation:
First, you never want to give out your banking information to anyone, so D is incorrect. A is incorrect because a debit card withdraws money from your checking account to pay for items you purchase. C is also incorrect because you can only spend the same amount of money in your checking account.
If you were solving the system of linear equations below by using Elimination, choose the answer that would be the best first step of solving with Elimination.
Answer:
multiply the bottom equation by 3
Step-by-step explanation:
we multiply to make the values of x same
9x+5y=1
-3x+2y=10 after= -9x+6y=10 thus one can eliminate the x value 9x
what is an inequality that represents this sentence?
if seven times a number is decreased by three, the result is less than thirty.
Answer:
7x-3<30
Step-by-step explanation:
7 times a number = 7x
is decreased by 3 = -3
the result is less than 30 = <30
Answer:
7x - 3 < 30
Step-by-step explanation:
We can put "seven times a number" as 7x since a number is unknown -->
now decreased is subraction so we have 7x - 3 -->
the result is less than thirty is that the difference must be less then 30.
so, 7x - 3 < 30.
Hope this helps!
The diagram represents a difference of squares. A 2-column table with 2 rows. The labels for the columns and rows are blank. First column entries are m squared, 6 m. Second column entries are negative 6 m, negative 36. What are the factors of m2 – 6m + 6m – 36? (m – 2)(m + 18) (m – 3)(m + 3) (m – 4)(m + 9) (m – 6)(m + 6)
Answer:(m-6)(m+6)
the last one on edge
Step-by-step explanation:
math
An expression is a set of numbers, variables, and mathematical operations. The factors of the given expression m²–6m+6m–36 are (m+6)(m–6). The correct option is D.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The factors of the given expression can be found as shown below.
m² – 6m + 6m – 36
Taking m as the common factor from the first two terms of the expression and 6 as the common factor from the last two terms,
= m(m–6) + 6(m–6)
Taking (m–6) as the common factor from the two terms,
= (m+6)(m–6)
Hence, the factors of the given expression m²–6m+6m–36 are (m+6)(m–6).
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(not a joke question) 81 1/4 is equal to 2. true or false and please explain why!
Answer:
Fasle
Step-by-step explanation:
81 1/4s would be 81/4 which would be 20 and 1/4
Identify the parts relating to CircleA. What is Line F G? Secant What is Line segment D B? Tangent What is Line segment D H? Secant What is AC? Radius
Answer:
Line FG secant
Line segment DH secant
Line segment DB tangent
Line segment AC radius
Step-by-step explanation:
A Secant is a line that passes through the two points on a circle.It cuts the circle on two points.
Line FG is a secant as it passes through two pints.
Line segment DH is also a secant as it passes through two points.
A tangent is a line that passes through only one point on a circle. It is outside the circle. It is perpendicular to the radius at the point where it touches the circle.
Line segment DB is a tangent as it passes through only one point.
Radius is the line segment joining the center of the circle and any point on the circumference of the circle. It is half of the diameter.
Line segment AC is a radius as it joins the center of the circle with the circumference.
Answer:
1) FG -- Secant
2) DB -- Tangent
3) DH -- Secant
4) AC -- Radius
Step-by-step explanation:
Gracie has 1/2 of a cantaloupe that she wants to divide. How many 1/6s of a cantaloupe are there in 1/2 of a cantaloupe
Answer:
There are 6 1/6 slices in half a cantaloupe
Answer:
3
Step-by-step explanation:
(1/2)/(1/6)= 1/2*6/1=3 it has 3 (1/6)s
Eva sees a dolphin 3.23.23, point, 2 meters below sea level and a bird \dfrac{47}{10} 10 47 start fraction, 47, divided by, 10, end fraction meters above sea level. Which of the expression represents the vertical distance between the dolphin and the bird?
This question is not that clear, so let me rewrite it here -
Eva sees a dolphin 3.2 meters below sea level and a bird [tex]47/10[/tex] meters above sea level. Which of the expressions represents the vertical distance between the dolphin and the bird?
Now we are given that Eva sees the dolphin at a distance 3.2 meters below sea level, respectively she sees a bird at [tex]47/10[/tex] meters above sea level. The vertical distance between the dolphin and the bird should thus be the distance dolphin is below sea level + distance of bird above sea level -
[tex]y = 3.2 + 47 / 10,\\y = 3.2 + 4.7,\\y = 7.9 meters\\-------------\\Solution = 7.9 ( meters )[/tex]
The expression that represents the vertical distance between the dolphin and bird should be 3.2 + 47 / 10.
In a fruit cocktail, for every 15 ml of orange juice you need 25 ml of apple juice and 10 ml of coconut milk. What proportion of the cocktail is orange juice?
Give your answer as a fraction in its simplest form.
Answer:
3/10 is orange juice.
Step-by-step explanation:
Step 1: Find the total mL in the concoction
15 + 25 + 10 = 50 mL in a fruit cocktail
Step 2: Find the proportion of orange juice in 1 serving (50 mL) of cocktail
15/50 = 3/10
y=-x^2-2x-5 whats the vertex of this parabola
Answer:
The vertex is (-1, -4)
Step-by-step explanation:
Let's find the vertex by completing the square of y= -x^2 - 2x - 5.
Isolate the first two terms inside parentheses: y= -(x^2 + 2x) - 5
Now complete the square of the expression inside these parentheses:
y = -(x^2 + 2x + 1 - 1) - 5
and rewrite this as
y = -(x + 1)^2 + 1 - 5, or
y = -(x + 1)^2 - 4
(x + 1) tells us that the x-coordinate of the vertex, h, is -1, and the -4 term tells us that the y-coordinate, k, is -4.
The vertex is (-1, -4)
How can we find HCF of a number
Answer:
We can find the highest common factor of a number by listing down all the factors of that number. The greatest factor from that list is the highest common factor.
How to find HCF of two numbers
❒ Explanation -:We can find the HCF of any numbers using three methods -:
Common FactorPrime FactorisationDivision Method[tex] \small \underline {\underline{\bf Common \: Factor \: Method }}[/tex]
[tex] \small \orange{\bf{ Step \: 1 :}}[/tex]
Find all factors of the given number[tex] \small \blue{\bf{ Step \: 2 :}}[/tex]
Find the common factor[tex] \small \purple{\bf{ Step \: 3 :}}[/tex]
Find out the highest common factor from the common factor . The highest common factor is the HCF of the number.[tex] \small \underline{\underline{\bf{ Prime \: Factorisation }}}[/tex]
[tex] \small \orange{\bf{ Step \: 1 :}}[/tex]
Find the prime factor of the given number by division method.[tex] \small \blue{\bf{ Step \: 2 :}}[/tex]
Find out the common prime factor.[tex] \small \purple{\bf{ Step \: 3 :}}[/tex]
The product of the common prime factor gives the HCF of the number.[tex] \small \underline{ \underline{\bf{ Division \: Method}}}[/tex]
[tex] \small \orange{\bf{ Step \: 1 :}}[/tex]
Divide the greater number by the smaller number. By the remainder in step 1 divide the smaller number[tex] \small \blue{\bf{ Step \: 2 :}}[/tex]
By the remainder in Step 2 divide the remainder obtained in Step 1.[tex] \small \purple{\bf{ Step \: 3 :}}[/tex]
Complete in the same way till no remainder is left.[tex] \rule{91mm}{3pt}[/tex]
Explain how to solve for the rate in a simple interest equation if you are given the interest amount, the principal, and the time.
Answer:
divide the interest amount by the product of the principal and time
Step-by-step explanation:
The simple interest formula is I = prt where I is the interest, p is the principal, r is the rate and t is the time (in years). Rewriting this formula so that r is the subject we get r = I / pt. Therefore the answer is divide the interest amount by the product of the principal and time.
PLS HELP ME IVE BEEN TRYING
Answer:
try and let me know is it correct or not line A-4 lineB-8
Step-by-step explanation:
i also use mathswatch
The figure is not trying to scale. PQ and MN are straight lines. Find X
What is the measure of ∠x angles are not necessarily drawn to scale.
Answer:
58 degrees
Step-by-step explanation:
The other two angles are 56 and 66 degrees and you know that all the angles add up to 180 degrees.
So just subtract:
180-56-66= 58 degrees
it works because the lines are parallel in the picture.
The company discovered that it cost $45 to produce 2 calculators, $143 to produce 4 calculators, and $869 to produce 10 calculators. Find the total cost of producing 1 calculators
Answer:
22.50
Step-by-step explanation:
45 divided by 2 is 22.50
In the figure, angle A measures 45° and angle E measures 15°.
The measurement of angle C is___
The measurement of angle D is___
Answer:
m<C = 45
m<D = 30
Step-by-step explanation:
m<A + m<B + m<C = 180
45 + 90 + m<C = 180
m<C = 45
m<E + m<A = 60
60 + 90 + m<D = 180
m<D = 30
if the bathtub holds a total of 46.2 gallons , how many minutes would it take to fill
the entire tub ?
Step-by-step explanation:
It takes 3 minutes, at 17 gallons per minute, for the tap to fill the tub, so 51 gallons of water flow into the tub.
The capacity of the tub is 46.5 gallons; so in 3 minutes 51-46.5 = 4.5 gallons have leaked. That's a rate of 4.5/3 = 1.5 gallons per minute.
The amount of time it will take the tub to drain at that rate is 46.5/1.5 = 31 minutes.
Answer:
It takes 3 minutes, at 17 gallons per minute, for the tap to fill the tub, so 51 gallons of water flow into the tub.
Step-by-step explanation:
Most of the seniors at Roosevelt High School took a math class this year. The graph shows the breakdown: Find the number of degrees for each math class. State the class and the degrees. Show your work.
Answer:
Step-by-step explanation:
Since, sum of central angles of a circle = 360°
Therefore, sum of all central angles formed by each math class = 360°
And measure of angles formed by each class will be in the same proportion as the percentage of seniors in each class.
Geometry → 27% of 360° = 97.2°
Precalculus → 4% of 360° = 14.4°
Advanced algebra → 33% of 360° = 118.8°
Consumer math → 36% of 360° = 129.6°
Answer:
There are 360 degrees in a circle so I need to do the percentage of 360
Geometry: 27% of 360 = 97.2 °
Consumer Math: 36% of 360 = 129.6 °
Advanced Algebra: 33% of 360 = 118.8 °
Precalculus: 4% of 360 = 14.4 °
14. What is the percent decrease on a DVD recorder that is marked down from $400 to $350?
1. 87.5%
2. 20%
3. 12.5%
5. 14.29%
Answer:
12.5%
Step-by-step explanation:
Percent decrease is calculated as
[tex]\frac{decrease}{original}[/tex] × 100%
Decrease = $400 - $350 = $50 , thus
percent decrease = [tex]\frac{50}{400}[/tex] × 100% = [tex]\frac{50(100)}{400}[/tex] = 12.5%
The percent decrease on a DVD recorder that is 12.5%. The correct option is 3
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
let the value of which a thing is represented in percentage is "a'
let the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), therefore we will first divide the whole part in 100 parts and then we multiply it with b so that we can get b items per 100 items(that is exactly what b per cent means).
Hence, that thing in number is
(a/100)x b
Percent decrease is calculated as;
Decreased in price/original price × 100%
Decrease = $400 - $350 = $50 , thus
Therefore, percent decrease = 50/400 × 100%
= 12.5%
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Mariah is completing a language arts review sheet she estimates that it takes her one minute to complete each multiple-choice question and six minutes to complete each essay question this equation represents the total time it takes her to complete X multiple choice question and y essay question X plus 6Y equals 36 select the correct answer from each drop down menu
Answer:
The answer is below
Step-by-step explanation:
Given the time taken to answer each multiple choice question as one minute, the time taken to x multiple choice question = 1 minute/question × x questions = x minutes
Given the time taken to answer each essay question as six minute, the time taken to y essay question = 6 minute/question × y questions = 6y minutes
Therefore the total time taken to complete X multiple choice question and y essay questions = the time taken to x multiple choice question + the time taken to y essay question = x + 6y
Answer:
directly off of edmentum
1 Negative numbers do not need the
negative sign (-) in front of them.
O True
O False
Answer:
The answer is False
Step-by-step explanation:
Answer:
FALSE ALL NEGATIVE NUMBERS NEED A NEGATIVE SIGHT(-)
Step-by-step explanation:
-1,-2,-3, PLEASE MARK BRAINLEST
What is the volume of the sphere shown below?
O A. 69127 units
O B. 23047 units
O C. 1927 units
O D. 57677 units
Answer:
Step-by-step explanation:
r = 12
V = 4*pi * r^3 / 3
V = 4 * 3.14 * 12^3 /3
V = 4 * 3.14 * 1728 / 3
V = 4 * 5425.92 /3
V = 21703.68/3
V = 7234.56
None of the answers look correct.
47:PLEASE HELP Find the y-intercept of -x +2y=20
Answer:
(0,10)
Step-by-step explanation:
-x + 2y = 20
2y = x +20
y = 1/2x + 10
This is slope-intercept form. The y-intercept is 10.
(0,10)
Answer:
(0, 10)
Step-by-step explanation:
Can be simplified to
2y = x+20 by adding x to both sides
then divide by 2 to get to slope intercept form: y = ax+b
b is the y-intercept
y = 1/2x + 10
so the answer is 10
how can knowledge of circles apply to daily life??
Answer:
sdgsdgsdgsdgsdgsd
Step-by-step explanation:
gsdgsdgsdgsdgsd
The vertex of this parabola is at (-3,-2). Which of the following could be its
equation?
(-3,-2)
O A. y=-2(x-3)2 + 2
O B. y=-2(x+3)2 + 2
O C. y=-2(x-3)2-2
O D. y=-2(x+3)2 - 2
Answer:
y=-2(x+3)^2-2
Step-by-step explanation:
Answer:
D y= -2(x+3)2 - 2
Step-by-step explanation:
The vertex is (h,k )
h = -3
k= -2
These equations are in vertex form.
Vertex form: y= a(x-h)^2 + k
so,
y= a(x- (-3)) ^2 + (-2)
y= a (x+3) ^2 -2
13. Fill in this diagram so that each of the rows, columns and
diagonals adds to 18.
What is the sum of all the corner numbers?
(A) 20
(B) 22
(C) 23
(D) 24
(E) 25
Answer:
D. 24
Step-by-step explanation:
Let's name the diagram
Row 1: a1, a2, a3
Row 2: b1, b2, b3
Row 3: c1, c2, c3
From the diagram,
b2 and c2 have been given
All rows, columns and diagonal must sum up to 18
If b2=6 and c2=4
a2=18-(6+4)
=18-10
=8
a2=8
Assume a1=4
Diagonals a1+b3+c3=18
4+6+c3=18
10+c3=18
c3=18-10
=8
Assume a3=6
Diagonals a3+b2+c1=18
6+6+c1=18
12+c1=18
c1=18-12
=6
So b1=18-(6+4)
=18-10
=8
b1=8
b3=18-(6+8)
=18-14
=4
b3=4
Input all the numbers into the boxes
We have,
4 8 6
8 6 4
6 4 8
Corner numbers are a1,a3,c1,c3
=4,6,6,8
Sum of all the corner numbers=4+6+6+8
=24
D. 24
A roof has a cross section that is a right triangle. The diagram shows the approximate dimensions of this cross section. Find the height h of the roof. Round your answer to the nearest tenth.
Answer:
The height of the roof is 25 ft.
Step-by-step explanation:
Consider the right angled triangle BCD.
Determine the measure of side BD using the Pythagoras theorem
[tex]BD^{2}=BC^{2}+CD^{2}\\\\BD=\sqrt{BC^{2}+CD^{2}}\\\\=\sqrt{10^{2}+5^{2}}\\\\=\sqrt{125}[/tex]
Compute the measure of angle x as follows:
[tex]tan\ x=\frac{BC}{CD}\\\\tan\ x=\frac{10}{5}\\\\tan\ x=2\\\\x=tan^{-1}2\\\\x=63.4[/tex]
Now consider the triangle ABD.
The hypotenuse AD is the height of the roof.
Determine the measure of side AD as follows:
[tex]cos\ x=\frac{BD}{AD}\\\\cos\ 63.4=\frac{\sqrt{125}}{AD}\\\\0.4478=\frac{\sqrt{125}}{AD}\\\\AD=\frac{\sqrt{125}}{0.4478}\\\\AD=24.967\\\\AD\approx 25[/tex]
Thus, the height of the roof is 25 ft.
Answer:
25ft :)
Step-by-step explanation:
Latisha worked for six hours and 45 minutes how should she write that on her time card
Answer:
Hey there!
6 hrs 45 mins = 405 mins, or 6.75 hours.
Hope this helps :)