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What is the length of the arc on a circle with radius 20 in. intercepted by a 15° angle?Use 3.14 for π .Round the answer to the hundredths place.Enter your answer in the box. in.What is the measure of the central angle of a circle with radius 24 ft that intercepts a 10 ft arc?Use 3.14 for π .Round the answer to the hundredths place.Enter your answer in the box.
General
6 months ago
Anderson uses the discriminant to correctly find the number of real solutions of the quadratic equation 1/2x2 + 4x + 8 = 0. Which explanation could Anderson provide?The equation has no real number solutions because the discriminant is 0.The equation has one real number solution because the discriminant is 0.The equation has no real number solutions because the discriminant is less than 0.The equation has two real number solutions because the discriminant is greater than 0.
General
6 months ago
Plot the data for the functions ƒ(x) and g(x) on a grid. x -2 -1 0 1 2 ƒ(x) 1 4 16 x -1 0 1 2 3 g(x) 3 4 5 6 7 b. Identify each function as linear, quadratic, or exponential, and use complete sentences to explain your choices. c. Describe what happens to the function values in each function as x increases from left to right. d. At what value(s) of x are the function values equal? If you cannot give exact values for x, give estimates.
General
6 months ago
Given: ΔABC Prove: The three medians of ΔABC intersect at a common point. When written in the correct order, the two-column proof below describes the statements and justifications for proving the three medians of a triangle all intersect in one point: Statements Justifications Point F is a midpoint of Line segment AB Point E is a midpoint of Line segment AC Draw Line segment BE Draw Line segment FC by Construction Point G is the point of intersection between Line segment BE and Line segment FC Intersecting Lines Postulate Draw Line segment AG by Construction Point D is the point of intersection between Line segment AG and Line segment BC Intersecting Lines Postulate Point H lies on Line segment AG such that Line segment AG ≅ Line segment GH by Construction I Line segment BD ≅ Line segment DC Properties of a Parallelogram (diagonals bisect each other) II Line segment FG is parallel to line segment BH and Line segment GE is parallel to line segment HC Midsegment Theorem III Line segment GC is parallel to line segment BH and Line segment BG is parallel to line segment HC Substitution IV BGCH is a parallelogram Properties of a Parallelogram (opposite sides are parallel) Line segment AD is a median Definition of a Median Which is the most logical order of statements and justifications I, II, III, and IV to complete the proof? II, III, I, IV III, II, I, IV II, III, IV, I III, II, IV, I
General
6 months ago
Which of the following statements best describes the relationship of a relation and a function? Select all that apply. A relation is always a function. A function is always a relation. A function is a relation, if and only if, the x-values do not repeat in a given set. A relation is a function, if and only if, the x- values do not repeat in a given set. A function is never a relation. A relation is never a function.
General
6 months ago
What is the recursive rule for an=2n+11?a1=13;an=an−1+11a1=2;an=an−1+11a1=11;an=an−1+2a1=13;an=an−1+2
General
6 months ago
The table shows a schedule of Mr. Kirov’s plan for paying off his credit card balance.Mr. Kirov’s Payment PlanBalancePaymentNew BalanceRateInterest$800.00$100$700.000.012$8.40$708.40$100$608.400.012$7.30$615.70$100$515.700.012$6.19If Mr. Kirov continues to make monthly payments of $100 and does not make any new purchases, how many more payments will he need to make before the balance is 0?4 payments5 payments6 payments7 payments
General
6 months ago
The graph shows the results of a race between Damon and Alex. Both boys begin the race at the same time.Which statements are true about the race?Select each correct answer.Alex runs the race at a rate of 623 yd/s .PDamon is given a 20 yd head start and wins the race.Damon runs the race at rate of 10 yd/s .Alex is given a 20 yd head start and wins the race.Damon finishes the race 2 s after Alex finishes the race.Alex runs the race faster than Damon.
General
6 months ago
linear or nonlinear??y=2x−9y=−10.2y=3x^2+73x + 5y = 15
General
6 months ago
The perpendicular bisector of side ab of ∆abc intersects the extension of side ac atd. find the measure of ∠abc if m∠cbd = 16° and m∠acb = 118°.
General
6 months ago
A card is drawn at random from an ordinary deck of 52 playing cards. find the probability that it is:a. an aceb. a jack of heartsc. a three of clubs or a six of diamondsd. a hearte. any suit except hearts f. a ten or a spade g. an ace, given that an ace has already been drawn
General
6 months ago
Fifty-three students are going on a field trip. the students are divided into groups of 6 students. how many groups of 6 students will there be? if the remaining students form a smaller group, and one chaperone is assigned to every group, how many total chaperones are needed?
General
6 months ago
Variable rate loans typically have a 1)________ interest rate than fixed rate loans because with variable rate loans, the borrower assumes the risk that the interest rate might 2)_________. Lower, Decrease Lower, Increase Higher, Increase Higher, Decrease
General
6 months ago
The ratio of marbles to stones in a large pot 6 to 7. if there are 42 marbles, then how many stones are there
General
6 months ago
Which situations can be represented by an exponential function? select each correct answer. an event organizer finds each year's attendance for the past five years is about 45 of the previous year's attendance. on the highway, kareem's car gets 38 mpg. shu fang has $25.75 deducted from her checking account every month. a toad population is increasing by about 7.5% each year?
General
6 months ago
The board of examiners that administers the real estate broker examination in a certain state found that the mean score on the test was 426 and the standard deviation was 72. If the board wants to set the passing score so that only the best 80%of all applicants pass, what is the passing score? assume tht the score are normally distributed. Draw the normal curve, label and shade the area.
General
6 months ago
Children under 10 years and older people over 65 years receive a discount on movie tickets. Let x represent the age of a person who receives a discount. Which inequality represents the age of a child who receives a discount? Which inequality represents the age of an older person who receives a discount? Which compound inequality represents the age of a person who receives a discount?
General
6 months ago
What was the percent of atmospheric co2 in 1850 if it was 280 ppm? move the decimal place 4 digits to the left to get percent (%)?
General
6 months ago
PLEASE HELP I HAVE NO IDEA You owe $1,853.42 on a credit card with a limit of $3,000.00 at a rate of 15.5% APR. You pay $400.00 the first 2 months and then $200.00 until the bill is paid off. You pay the bill on the due date each month. 1) Complete the table showing the decreasing debt. 2) How much is your last payment? 3) What is the total amount paid by the time you pay off the credit card? 4) What was your debt ratio at the beginning?
General
6 months ago
Which information is needed to show that a parallelogram is a rectangle? question 5 options: the diagonals bisect each other. the diagonals are congruent. the diagonals are congruent and perpendicular. the diagonals bisect each other and are perpendicular?
General
6 months ago
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