In the figure below, \overline{AD} AD start overline, A, D, end overline and \overline{BE} BE start overline, B, E, end overline are diameters of circle PPP. What is the arc measure of \stackrel{\LARGE{\frown}}{CD} CD ⌢ C, D, start superscript, \frown, end superscript in degrees? ^\circ ∘ degrees
Answers
Answer:
The measure of the arc CD = 64°
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°
Related Questions
Sarah sells beaded necklaces she makes a profit of $4 on every necklace she sells which table represents the profit Sarah makes
Answers
Answer:
The correct table is A.
Correct statement and question:
Sarah sells beaded necklaces she makes a profit of $4 on every necklace she sells which table represents the profit Sarah makes.
A.
Necklaces Sold Profit $
4 16
6 24
8 32
10 40
B.
Necklaces Sold Profit $
4 8
6 10
8 12
10 14
C.
Necklaces Sold Profit $
4 4
6 8
8 12
10 16
D.
Necklaces Sold Profit $
4 16
6 20
8 24
10 28
Source:
North Carolina Practice Test
Step-by-step explanation:
If Sarah makes a profit of $ 4 on every necklace she sells, then:
4 necklaces = 4 * 4 = $ 16
6 necklaces = 6 * 4 = $ 24
8 necklaces = 8 * 4 = $ 32
10 necklaces = 10 * 4 = $ 40
The correct table is A.
3. What are vertical angles and what is special about them?
Answers
Answer:
Vertical angles are angles opposite each other where two lines cross. Vertical angles are very specific - you have two intersecting lines to form two sets of vertical angles that are across from each other and congruent. Both supplementary angles and complementary angles are much broader - they do not even have to be touching or near each other, but they could be.
600 miles in 8 hours
_?_ miles per hour
(number answer only)
Question
Answers
Answer:
75
Step-by-step explanation:
you have 600 = 8 and you want to break it down into just 1 hour so you divide both sides by 8
600/8 = 75
Final answer:
The student was traveling at a speed of 75 miles per hour.
Explanation:
To calculate the speed in miles per hour when a student has traveled 600 miles in 8 hours, you divide the total distance by the total time taken. The formula to find speed is:
Speed = Distance / Time
So, if we plug in the values we have:
Speed = 600 miles / 8 hours = 75 miles per hour
Therefore, the student was traveling at a speed of 75 miles per hour.
Classify a transformation as a rotation, a reflection, or a translation.
Answers
Answer:
a transformation could be a rotation, reflection, and/or a translation.
Step-by-step explanation:
In geometry, transformation refers to the movement of objects in the coordinate plane.
Therefore, a transformation could be a rotation, reflection, and/or a translation.
Solve for x and y
y = 2x + 1
y = 4x - 1
Answers
Answer:
y=3 x=1
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+1=4x−1
Step 1: Subtract 4x from both sides.
2x+1−4x=4x−1−4x
−2x+1=−1
Step 2: Subtract 1 from both sides.
−2x+1−1=−1−1
−2x=−2
Step 3: Divide both sides by -2.
−2x
−2
=
−2
−2
x=1
then
y=(2)(1)+1
Answer:
y=3
Write the sum as a product. Simplify the product.
(–10) + (–10) + (–10) + (–10) + (–10) + (–10)
A. 2(–10) + 2(–10) + 2(–10); –58
B. 6(–10); –60
C. 3(–10) + 2(–10); –50
Answers
Answer:
B.
Step-by-step explanation:
We see (-10) repeating six times. This means the product would be 6(-10). To simplify this, 6 × (-10) = -60.
Answer:
b
Step-by-step explanation:
Select the equivalent expression.
(a-2.87)?=?
Answers
Two expressions are equivalent if we can arrange one of them in order to match the other. If we evaluate the two expressions for certain values in the input, we must get the same value in the output. In this exercise, we have the following expression:
[tex]a-2.87[/tex]
There are infinitely many equivalent expressions. We can write some of them:
[tex]\bullet \ 2a-a-2.87 \\ \\ \bullet \ a-1-1.87 \\ \\ \bullet \ 5a-4a-5.87+3[/tex]
Because when simplifying these expressions we get:
[tex]a-2.87[/tex]
Can there be two modes in a data set?? for example 2,5,6,7,9,9,11,11,12,13
Answers
Final answer:
Yes, a data set can have two modes, which occurs when two different values appear with equal and highest frequency, making the set bimodal.
Explanation:
Yes, there can be two modes in a data set. The mode is the most frequent value or values in a set of data. When a data set has exactly two modes, it is called bimodal. This phenomenon occurs when two different numbers appear with equal frequency and more often than any other numbers in a set. For example, in the data set 2,5,6,7,9,9,11,11,12,13, both 9 and 11 appear twice and more frequently than any other values, making them both modes of the data set.
two acute angles
two straight angles
two right angles
and two obtuse angles
Answers
Answer:
11.GBJ JBD 12.AD GE 13.GBC GBA 14.FCD JBE (is obtuse)
Step-by-step explanation:
Answer:
11.GBJ JBD 12.AD GE 13.GBC GBA 14.FCD JBE (is obtuse)
Step-by-step explanation:
Step-by-step explanation:
How do you identify if the equation is linear, exponential, or quadratic?
Answers
Answer:
It's form. Linear is a normal line, exponential is a curvy line, and quadratic is a u shape with the vertice on the y-axis line, making half of the u on the left quadrant and the other half on the right quadrant
Step-by-step explanation:
first is linear, second is exponential and third is quadratic
Answer:
quadratic needs to have a degree of 2, linear equations are in form y=mx+b and do not have exponents
Step-by-step explanation:
Use X= 5 to identify the value of each expression
.
Answers
Answer:
see explanation
Step-by-step explanation:
Using x = 5, then
x² = 5² = 5 × 5 = 25
[tex]1^{5}[/tex] = 1 × 1 × 1 × 1 × 1 = 1
[tex]5^{1}[/tex] = 5
Do y’all the answer?
Answers
Length = 12 m and width = [tex]\frac{7}{2}[/tex] m.
Solution:
Let the width of the rectangle be w.
Length of the rectangle = 2w + 5
Area of the rectangle given = 42 m²
Area of the rectangle = length × width
length × width = 42
(2w + 5) × w = 42
[tex]2w^2+5w=42[/tex]
Subtract 42 from both sides, we get
[tex]2w^2+5w-42=0[/tex]
Using quadratic formula,
[tex]$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]
Here, [tex]a=2, b=5, c=-42[/tex]
[tex]$w=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 2(-42)}}{2 \cdot 2}[/tex]
[tex]$w=\frac{-5 \pm \sqrt{25+336}}{4}[/tex]
[tex]$w=\frac{-5 \pm \sqrt{361}}{4}[/tex]
[tex]$w=\frac{-5 \pm19}{4}[/tex]
[tex]$w=\frac{-5+19}{4}, w=\frac{-5-19}{4}[/tex]
[tex]$w=\frac{14}{4}, w=\frac{-24}{4}[/tex]
[tex]$w=\frac{7}{2}, w=-6[/tex]
Dimension cannot be in negative, so neglect w = –6.
Width of the rectangle = [tex]\frac{7}{2}[/tex] m
[tex]$L=2(\frac{7}{2} )+5=12 \ m[/tex]
Hence length = 12 m and width = [tex]\frac{7}{2}[/tex] m.
cos^2x-sin^2x/sin^2x+sinxcosx=cotx-1
Answers
Answer:
[tex]\bold{\frac{(cosx-sinx)}{(sinx)}}=\bold{\frac{cosx-sinx}{sinx}}[/tex]
Step-by-step explanation:
[tex]\frac{cos^2x-sin^2x}{sin^2x+sinxcosx}=cotx-1[/tex]
We're going to start by manipulating the left side of the equation and making it the same form as [tex]cotx-1[/tex].
Start by applying the difference of two squares formula to the numerator, like so:
[tex]\frac{(cosx+sinx)(cosx-sinx)}{sin^2x+sinxcosx}[/tex]Now simplify the denominator by expanding the [tex]sin^2x[/tex].
[tex]\frac{(cosx+sinx)(cosx-sinx)}{(sinx)(sinx)+sinxcosx}[/tex]The denominator can even be further simplified since both addends (when added together = a sum) have the common factor of [tex]sinx[/tex]. Factor it out.
[tex]\frac{(cosx+sinx)(cosx-sinx)}{(sinx)(sinx+cosx)}[/tex]Cancel out the common factor [tex](cosx+sinx)[/tex].
[tex]\bold{\frac{(cosx-sinx)}{(sinx)}}[/tex]Since this is the furthest simplified that the left side can be manipulated, let's see if can try to manipulate the right side to also look like [tex]\frac{(cosx-sinx)}{(sinx)}[/tex].
Start by expressing [tex]cotx-1[/tex] with [tex]sinx[/tex] and [tex]cosx[/tex], since we know that cotangent is simply [tex]\frac{x}{y} \rightarrow\frac{cosx}{sinx}[/tex].
[tex]\frac{cosx}{sinx}-1[/tex]We can simplify this expression to look like our expression we found by manipulating the left side [tex](\frac{(cosx-sinx)}{(sinx)})[/tex] by making the 1 have a common denominator of [tex]sinx[/tex].
To do this, multiply 1 by [tex]\frac{sinx}{sinx}[/tex]. Now the expression should look like:
[tex]\frac{cosx}{sinx}-\frac{sinx}{sinx}[/tex]Since they have a common denominator we can write the expression under one fraction, like so:
[tex]\bold{\frac{cosx-sinx}{sinx}}[/tex]This looks exactly the same as what we manipulated the left side to be [tex](\frac{(cosx-sinx)}{(sinx)})[/tex], just without parentheses. I put both expressions in bold. Therefore, this identity proves to be true as we just proved it.
Curriculum 2.0 Geometry: Unit 3-Topic 1, SLT 9
Applying Volume Formulas to Pyramids and Cones
3. Determine the volume of the cone shown below. Give your answers in terms of u and then round your
answer to the nearest thousandth.
V = 58.667pi
4. Find the dimensions of a cone that is similar to the one given above and sketch the cone.
Explain how you determined your answers.
Answers
Answer:
3.) 200. Or in exact terms 184.3078162
4.) What?
Step-by-step explanation:
seven times a number is twenty-one. rewrite the sentence using algebric symbols.
i need help
Answers
Answer:
the correct answer is 7*x=12 or 7x=21
Answer:
n= number
7n=21
then if it asks for an answer, just solve it like you usually would
2. Fred and Mary Merrill want to purchase a new car. The car has a base
price of $16,700, options totaling $1.095, and a destination charge of
$325. They read in a consumer magazine that the dealer's cost for the car
is 90 percent of the base price and 87 percent of the options price. What
should they estimate as the dealer's cost? *
O
$15,764.40
O
$15,806.65
O
$16,275.15
O
$16,307.65
Answers
To estimate the dealer's cost, calculate 90% of the base price and 87% of the options price. Add the dealer's cost of the base price and options price to find the estimated dealer's cost.
Explanation:To estimate the dealer's cost, we need to find 90% of the base price and 87% of the options price.
90% of $16,700 (base price) = $16,700 x 0.90 = $15,03087% of $1,095 (options price) = $1,095 x 0.87 = $952.65Adding the dealer's cost of the base price and options price: $15,030 + $952.65 = $15,982.65Therefore, the estimated dealer's cost is $15,982.65.
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what is he least common multiple of 5 and 6
Answers
Answer:
30.
Step-by-step explanation:
6 = 2 * 3
5 = 5
LCM = 2 * 3 * 5 = 30.
Evaluate 8+(-25)+16-(-25)-16
Answers
Answer:
The answer is 8 hope this helps
To evaluate the expression [tex]8 + (-25) + 16 - (-25) - 16[/tex], we need to follow the order of operations, which is:
1. Perform any operations inside parentheses or brackets. 2. Evaluate any exponents or powers. 3. Perform multiplication and division from left to right. 4. Perform addition and subtraction from left to right. Let's break down each step of the calculation:
Step 1: Parentheses or brackets There are no parentheses or brackets in the expression. Step 2: Exponents or powers There are no exponents or powers in the expression. Step 3: Multiplication and division There is no multiplication or division in the expression. Step 4: Addition and subtraction Now, we can perform the addition and subtraction from left to right:
[tex]8 + (-25) + 16 - (-25) - 16 = -17 + 16 - (-25) - 16[/tex] simplified
[tex]8 + (-25)[/tex] to [tex]-17) = -17 + 16 + 25 - 16[/tex] [tex]simplified[/tex] [tex]-(-25) to +25) = 8[/tex]
([tex]simplified[/tex] [tex]-17 + 16 to -1[/tex], and [tex]-1 + 25 to +24[/tex] , and[tex]24 - 16 to 8[/tex])
Therefore, the value of the expression [tex]8 + (-25) + 16 - (-25) - 16[/tex] is 8. In summary, when evaluating the given expression, we followed the order of operations and calculated the value step by step. The final result is 8.
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Teresa bought 16 roses for $20.64.how much did she pay for each rose
Answers
You can do this:
20.64/16 = x/1
The numerator is the price, and the denominator is the number of roses. Using this formula, x would equal 1.29. This means Each rose cost $1.29.
(a) Find the approximations T10, M10, and S10 for int 0- π (21 sin x) dx. 0 (Round your answers to six decimal places.) T10 = M10 = S10 = Find the corresponding errors ET, EM, and ES. (Round your answers to six decimal places.) ET = EM = ES = (b) Compare the actual errors in part (a) with the error estimates given by the Theorem about Error Bounds for Trapezoidal and Midpoint Rules and the Theorem about Error Bound for Simpson's Rule. (Round your answers to six decimal places.) |ET| ≤ |EM| ≤ |ES| ≤ (c) How large do we have to choose n so that the approximations Tn, Mn, and Sn to the integral in part (a) are accurate to within 0.00001? n = for Tn n = for Mn n = for Sn
Answers
The question refers to numerical approximation methods used for integration: the Trapezoidal, Midpoint, and Simpson's Rules. Answers for specific n-values and error calculations require a calculator or programming tool and are not provided here. The processes, however, involve application of respective formulae and comparison of approximations against the desired accuracy level.
Explanation:Solution:
The question is related to approximating the value of an integral using numerical methods, specifically using the Trapezoidal Rule (Tn), Midpoint Rule (Mn), and Simpson's Rule (Sn). Additionally, it asks about the corresponding estimation errors which are defined as differences between the true integral value and the approximations.
Part (a)
To find T10, M10, and S10 for ∫₀π (21 sin x) dx, we would use respective formulae. Unfortunately, without a calculator or computational tool, it's not practical to perform these calculations here in this answer.
Part (b)
The actual errors ET, EM, and ES compare to the theoretical error bounds given by the respective theorems for each rule. Again, without the approximated values from part (a), we cannot calculate these errors.
Part (c)
Choosing n so that the approximations are accurate to within 0.00001 is a trial and error process where you start with n and continue to increase it until the approximation is within the desired accuracy. This typically requires use of a computational tool or programming.
Please note, these answers can vary depending on the specific constants and functions used in the integration.
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What is the solution to the system of equations y=-3×-2 5×+2y=15
Answers
Answer: x = - 19
y = 55
Step-by-step explanation:
y = - 3x - 2 (1)
5x + 2y = 15 (2)
substitute y = - 3x - 2 into equation (2)
equation (2) becomes
5x + 2 (-3x - 2) = 15
5x + ( - 6x - 4) = 15
opening the bracket
5x - 6x - 4 = 15
collecting like terms
5x - 6x = 15 + 4
-x = 19
x = - 19
substituting x = - 19 into equation 1
y = - 3x - 2
y = - 3 (-19) - 2
y = 57- 2
y = 55
Answer:
x= 19/11
y=35/11
Step-by-step explanation:
3.01 greater or less or equal to 3.10
Answers
Answer: 3.01 is less than 3.10
Step-by-step explanation:
Answer: 3.01 is less than 3.01
Step-by-step explanation:
3.10 is .09 more than 3.01
17. Only tenth-, eleventh-, and twelfth-grade students
attend Washington High School. The ratio of tenth
graders to the school's total student population is
86:255, and the ratio of eleventh graders to the
school's total student population is 18:51. If 1 student
is chosen at random from the entire school, which
grade is that student most likely to be in?
Answers
Answer: Eleventh Grade
Step-by-step
The ratio of tenth graders to the school's total population is 86:255 = 33.7%.
The ratio of eleventh graders to the school's total population is 18:51 = 35.3%.
Since the probability of a student being in either tenth, eleventh, or twelfth grade = 1 = 100% (that is, certainty), then the probability of a randomly drawn student being in twelfth grade is (100-33.7-35.3)% = 31.0%.
When randomly choosing one student from the whole school, it is most likely (35.3%) that the student is in the eleventh grade.
Which is the best description for the graph?
The graph is increasing everywhere.
The graph is decreasing everywhere.
The graph is increasing, then decreasing.
Answers
Answer:
The graph is decreasing everywhere, the second option.
Step-by-step explanation:
Took the test.
Can the number of students who completed their homework be represented as a function of the homework's
size?
Answers
It would be a positive, linear graph
Which graph COULD represent the table of values?
A) A
B) B
C) C
D) D
Answers
Answer:
This will be your answer. Good luck! :)
Step-by-step explanation:
'Desmos Graphing Calculator' is extremely helpful to anyone who needs help in math involving functions and solving equations. Take the time to learn how it works and it'll be your best friend. Free, reliable, and saves time!
Find the cost price if the selling price is $1800 and profit is $10%
Answers
Answer:$1636.4
Step-by-step explanation:
Selling price(sp)=$1800
Profit%=10%
Cost price(cp)=?
Profit%=(sp-cp)/cp x 100
10=(1800-cp)/cp x 100
Cross product
10cp=100(1800-cp)
Open brackets
10cp=180000-100cp
Collect like terms
10cp+100cp=180000
110cp=180000
Divide both sides by 110
110cp/110 = 180000/110
cp=1636.4
Cost price is $1636.4
Answer: Cost Price = $1, 636.36
Step-by-step explanation:
Given from the question Selling price (SP)= $1800; Profit%= 10%= 10/100 = 0.1
Cost price(CP)= ??
Profit% is derived by the formula
=(SP-CP)/ CP x 100
0.1 = (1800 - CP)/CP x 100
Then we cross multiply
0.1 x 100 x CP = 1800 - CP
10 CP = 100(1800 - CP)
Open the bracket
10 CP=180000 - 100CP
Divide both sides by 10
CP = 180000 - 100CP/10
CP = 18000 - 10CP
Combine like terms
CP + 10CP = 18000
11CP = 18000
Divide both sides by 11
CP = 18000/11
CP = $1, 636.36
multiplicative inverse of 9 ^3
Answers
Solution:
Given that,
We have to find the multiplicative inverse of [tex]9^3[/tex]
By multiplicative inverse,
The product of a number and its multiplicative inverse is 1
Given number is: [tex]9^3[/tex]
Let "x" be the required multiplicative inverse
Therefore,
[tex]9^3 \times \text{ multiplicative inverse of } 9^3 = 1[/tex]
[tex]9^3 \times x = 1\\\\x = \frac{1}{9^3}[/tex]
Thus the multiplicative inverse of [tex]9^3[/tex] is [tex]\frac{1}{9^3}[/tex]
Identify a possible first step using the elimination method to solve the system and then find the solution to the system.
2x - 5y = 11
3x + 2y = 7
Multiply first equation by 3 and second equation by 2. solution (5, 1)
Multiply first equation by 2 and second equation by - 3 solution (3-1)
Multiply first equation by -3 and second equation by-2. solution (3.1).
Multiply first equation by -3 and second equation by 2. solution (3,-1) |
Answers
[tex]\bf \begin{array}{lcrrrrr} 2x-5y=11&\stackrel{\stackrel{\textit{\large first step}}{\downarrow }}{\times -3}\implies &-6x&+&15y&=&-33\\ 3x+2y=7&\times 2\implies &6x&+&4y&=&14\\\cline{3-7} &&0&+&19y&=&-19 \end{array} \\\\\\ y = \cfrac{-19}{19}\implies \boxed{y=-1} \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{2x-5(-1)=11\implies 2x+5=11}\implies 2x=6\implies x = \cfrac{6}{2}\implies \boxed{x = 3} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (3~~,~~-1)~\hfill[/tex]
i need 4 7 and 10
pleaseee
Answers
Step-by-step explanation:
4.
22+4x= 90
4x=90-22
4x=68
x°=17°
7.
(x-5)°+29°=180°
x-5+29=180
x= 180-24
x=156°
10.
(x+3)°+49°=90°
x= 90-52°
x=38°