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MATH SOLVE
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General
Fencing encloses a rectangular backyard that measures 300 feet by 600 feet. A blueprint of the backyard is drawn on the coordinate plane so that the rectangle has vertices (0,0),(0,60),(30,60) , and (30,0) . A circular flower garden is dug to be exactly in the center of the backyard, with a radius of 60 feet. This garden is represented on the blueprint. What is the equation of the flower garden represented on the blueprint? Enter your answer by filling in the boxes.
General
4 months ago
Match the reasons with the statements in the proof if the last line of the proof would be 6. ∠1 and ∠7 are supplementary by definition. Given: s || t Prove: 1, 7 are supplementary 1. s||t Given 2. ∠5 and ∠7 are supplementary. Exterior sides in opposite rays. 3. m∠5 + m∠7 = 180° Definition of supplementary angles. 4. m∠1 = m∠5 Substitution 5. m∠1 + m∠7 = 180° If lines are ||, corresponding angles are equal.
General
4 months ago
Write an equation of a parabola in vertex form. Vertex (2,-3) and passes through (0,5)
General
4 months ago
A plane at an altitude of 7000 ft is flying in the direction of an island . If an angle of depression is 21 ° from the plane to the island , what is the horizontal distance until the plan flies over the island ?
General
4 months ago
A theater sells tickets for a concert. Tickets for lower-level seats cost $35 each. Tickets for upper-level seats cost $25 each. The theater sells 350 tickets for $10,250. How many types of each ticket were sold?
General
4 months ago
Estimate the area of Alberta in square miles. Show your reasoning
General
4 months ago
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all males. Men have hip breadths that are normally distributed with a mean of 14.2 in. And a standard deviation of 0.9 in. Find P99 that is, find the hip breadth for men that separates the smallest 99% from the largest 1%
General
4 months ago
If you are a human resources manager and you randomly selected 5 job candidates to interview out of hundreds of equally-qualified candidates that applied for a job without replacement, what would be the standard error of the mean if the standard deviation is 1?
General
4 months ago
two mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. together they charged a total of $2675. what was the rate charged per hour by each mechanic if the sum of the two rates was $210 per hour?
General
4 months ago
A ball is launched into the air from a height of 12 feet at time t = 0. The function that models this situation is h(t) = -2t2 + 10t + 12, where t is measured in seconds and h is the height in feet.Part A (1 Point)What is the height of the ball after 2 seconds?Part B (3 Points) When will the ball hit the ground?
General
4 months ago
Which of the following fractions has the same value as the decimal number 0.65?
General
4 months ago
Lani is making a cake in the shape of a cone. To make the cake, she uses a cone shape mold. The mold has a diameter of 10 inches and a height of 12 inches.What is the volume of the cake?Use 3.14 for pi. Round to the nearest tenth, if necessary.125.6 in³314 in³942 in³1256 in³
General
4 months ago
What is the equation of this line?
General
4 months ago
Instruction: Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.Match each pair of points A and B to point C such that the measure of Angle ABC=90*. Tiles1. A(3, 3) and B(12, 6)2. C(6, 52)3. A(-10, 5) and B(12, 16)4. C(16, -6)5. A(-8, 3) and B(12, 8)6. C(18, 4)7. A(12, -14) and B(-16, 21)8. C(-11, 25)9. A(-12, -19) and B(20, 45)10. A(30, 20) and B(-20, -15)
General
4 months ago
In ΔABC, m∠ABC = 40°, BL is the angle bisector of ∠B with point L∈ AC. Point M ∈ AB so that LM ⊥ AB and N ∈ BC so that LN⊥ BCFind the angle measures in ΔABC if m∠CLN = 3m∠ALM and prove that CN = 1 /CL.
General
4 months ago
Drag a statement or reason to each box to complete this proof.If −3(x+8)=−21, then x=−1.
General
4 months ago
Divide the binomial by the monomial to find the quotient -36x^4y + 144x^2 y^6/ -4x^2y
General
4 months ago
Use synthetic division to determine whether the number k is an upper or lower bound (as specified) for the real zeros of the function f.k = 4; f(x) = 2x3 - 2x2 - 3x - 5; Lower bound?
General
4 months ago
The table gives the ratio of teachers to students at Jefferson Middle School. At Hamilton Middle School,the ratio of teachers to students is 12 to 312. Which statement correctly compares the ratio of the teachers and students at the two schools?
General
4 months ago
What is the value of x? Identify the missing justifications.mPQR= x+11, mSQR=x+7, and mPQS=100mPQR+SQR=mPQS a. __________x + 11 + x + 7 = 100 b. Substitution Property2x + 18 = 100 c. Simplify2x = 82 d. __________x = 41 e. Division Property of EqualityA.Angle Addition Postulate; Subtraction Property of EqualityB.Protractor Postulate; Addition Property of EqualityC.Angle Addition Postulate; Addition Property of EqualityD.Protractor Postulate; Subtraction Property of Equality
General
4 months ago
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