Coordinate system Questions and Answers
Geometry
Coordinate systemConvert 7 minutes, 35 seconds to seconds.
7 minutes, 35 seconds=_______seconds
Geometry
Coordinate systemA car is driving at 40 kilometers per hour. How far, in meters, does it travel in 4 seconds?
meters
Give your answer to the nearest meter.
Geometry
Coordinate systemYour car can drive 360 miles on a tank of 23 gallons.
How far can it drive on 54 gallons?
Round your answer to the nearest mile.
How many gallons are needed to drive 1,770 miles?
Round your answer to the nearest tenth of a gallon.
Geometry
Coordinate systemHow are the two statements given below related to each other?
X: If you run for 10 minutes, then you will raise your heart rate
Z: If you do not run for 10 minutesthen you will not raise your heart rate.
OZ is the retrograde of X.
OZ is the converse of X.
OZ is the contrapositive of X.
OZ is the inverse of X.
Geometry
Coordinate systemA rectangular field is 15 yards in length and 75 feet in width.
What is the area of the field in square feet?________Ft2
What is the area of the field in square yards?______yd2
Geometry
Coordinate systemAmy bought 3 lbs.,5 oz. of turkey cold cuts and 3 lbs., 13 oz. of ham cold cuts. How much did she buy in total?(You should convert any ounces over 15 into pounds)
____pounds
____ounces
Geometry
Coordinate systemCoordinate Geometry:Question 5 Which equation represents the line that passes
through the point (-2,5) and is perpendicular to the graph of x-6y=4?
O 6x - y = - 17
O x-6y = - 32
O 6x+y=-7
Ox+6y= 28
Geometry
Coordinate systemIf possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If x = 7, then 7x - 2 =47.
Statement 2: x = 7
O not possible
Ox=7
07x-2=47
If 7x247, then x = = 7.
Geometry
Coordinate systemAlex checks his pulse for 4 minutes and counts 380 beats. What is his heart rate in beats per minute?
beats per minute.
Geometry
Coordinate systemAnswer the following. You may need to use a truth table to determine the correct answer.
If 78/6-13 then 225/15 = 15
Geometry
Coordinate systemWhat is the conclusion of the following conditional?
A number is divisible by 2 if the number is even.
If a number is even, then the number is divisible by 2. The number is even.
The sum of the digits of the number is divisible by 2.
The number is divisible by 2.
Geometry
Coordinate systemWhich statement is a good definition of a rectangle?
A rectangle is a quadrilateral with four congruent angles.
O A rectangle is a shape with four sides.
O A rectangle is a shape with two pairs of parallel sides.
A rectangle is a parallelogram with four congruent sides.
Geometry
Coordinate systemRight Triangle Trigonometry:Question Solve for the approximate measure of angle C.
Select one:
O 51.34
O36.87
O 53.13
A25 B20
Geometry
Coordinate systemWhich statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.
O If your insurance rates do not go up,then you have not made a claim.
O If you make an insurance claim, then your rates will not go up.
O If your insurance rates go up, then you have made an insurance claim.
O If you do not make an insurance claim, then your rates will not go up.
Geometry
Coordinate systemWhich statement is the contrapositive of the given statement?
If a person is a banjo player, then the person is a musician.
If a person is not a musician, then the person is not a banjo player.
If a person is not a banjo player, then the person is a musician.
If a person is a musician, then the person is a banjo player.
If a person is not a banjo player, then the person is not a musician.
Geometry
Coordinate systemWhen a conditional and its convers eare true, you can combine them as a true
biconditional
hypothesis
counterexample
unconditional
Geometry
Coordinate systemWhat is the converse and the truth value of the converse of the
following conditional? If an angle is a right angle, then its measure is 90
If an angle is not a right angle,then its measure is 90.False
If an angle has a measure of 90,then it is a right angle.True
If an angle has a measure of 90,then it is a right angle. False
If an angle is not a right angle,then its measure is not 90.True
Geometry
Coordinate systemUse the Law of Detachment to draw a conclusion from the two given
statements. If two angles are complementary,then the sum of their measures is
90°. ZE and ZF are complementary.
O mZE+mZF = 180
O mZE+mZF = 90
O mZE # mZF
O ZE is congruent to F.
Geometry
Coordinate systemUse the Law of Detachment to drawa conclusion from the two given
statements.I can go to the concert if I can afford to buy a ticket.
I can go to the concert.
not possible
If I can go to the concert, I can
afford the ticket.
I can afford to buy a ticket.
I cannot afford to buy the ticket.
Geometry
Coordinate systemUse the Law of Detachment and the Law of Syllogism to draw a
conclusion from the three given statements.If it is Friday night, then there is a
football gameIf there is a football game, then Josef
is wearing his school colors. It is Friday night.
Josef is wearing his school colors.
If it is Friday night, then Josef is wearing his school colors.
There is a football game.
If it is not Friday night, then Josef is not wearing his school colors.
Geometry
Coordinate systemWhen travelling to Paris, you convert $1,400 to euros. How many euros is this?
Round your answer to the nearest hundredth
1,400 U.S. Dollars
1
1 U.S. dollar ≈ 0.896 Euros
X
î
Geometry
Coordinate systemCellular phone service is available for $48 per month for 1748 minutes. What is the monthly cost per minute? Round your answer to the nearest tenth of a cent.
The cost for the phone service is _______cents per minute.
Geometry
Coordinate systemWhat is the missing term in this sequence?
0.95, 0.85, 0.90, 0.80, 2, 0.75, 0.80, ...
Geometry
Coordinate systemJim makes the following conjecture.
Other than 1, there are no numbers less than 100 that are both perfect squares
and perfect cubes.
What is a counterexample that proves his conjecture false?
Geometry
Coordinate systemWhat is the hypothesis of the givenstatement?
If pigs had wings, you could fly.
O Pigs have wings.
O Pigs do not have wings.
O You cannot fly
O You can fly.
Geometry
Coordinate systemAs Randi started to solve for in the diagram at right, she wrote the equation 72 + x² = (x + 1)².
a. Is Randi's equation valid? Explain your thinking.
Hint (a):
b. To solve her equation, first rewrite (x + 1)2 by multiplying (x + 1)(x + 1). You may want to review the Math Notes box for Lesson 2.2.2.
c. Now solve your equation for x.
Hint (c):
d. What is the perimeter of Randi's triangle?
✔Hint (d):
Use the value of x to determine the length of each side of the triangle.
Geometry
Coordinate systemFind the vertex of this parabola.
y=-2x² + 4x+12
A. (-4, 12)
B. (-2, 6)
C. (3,6)
D. (1, 14)
Geometry
Coordinate systemThe center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle?
A x2+y2-6x-16y+48=0
B. x2+y2-6x-16y-25=0
C x2+y2+6x+16y+48=0
D. x2+y2+6x+16y-25=0
Geometry
Coordinate system12 What is an equation of the line that passes through the point (6,8) and is perpendicular to a line with equation y= 3/2x+5?
(1) y - 8=3/2(x-6)
(2) y - 8 =-2/3(x-6)
(3)y+8=3/2(x+6)
(4) y+8= -2/3(x+6)
Geometry
Coordinate systemSelect the correct answer from each drop-down menu.
ΔABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices.
The length of side AB is units. The length of side BC is units. The length of side AC is units. ∠ABC≈
Geometry
Coordinate systemCircle A and circle B are congruent CD is a chord of both circles. If CD= 16 cm and the radius is 17 cm, how long is AB?
12 cm
30 cm
15 cm
23 cm
Geometry
Coordinate system2. (8B) A bag contains 10 marbles. 3 of them are blue, 4 of them are black, 2 of them are red, and 1 of them is green. Two marbles are removed from the bag one at a time WITHOUT REPLACEMENT. What is the probability that a person randomly draws out a blue marble first and a red marble second?
Geometry
Coordinate systemUse the Law of Sines or the Law of Cosines to solve each triangle.
(DRAW TRIANGLES ON YOUR WORKSHEET - IT WILL HELP!)
Round all angle measures to the nearest tenth of a degrees and side lengths to the nearest tenth.
A = 50°, b = 15 ft., c = = 30 ft.
Given??
Use: Select an answer
Triangle
a =
C =
B =
Geometry
Coordinate systemLet A be an upper (lower) triangular matrix.
a) Show that A is invertible if and only if the diagonal entries of A are all nonzero.
b) Show that if A is invertible, then A¹ is also an upper (lower) triangular matrix.
Geometry
Coordinate system14. Thad is picking out the gift wrap for a birthday gift he is giving one of his friends. The choices of color for the wrapping paper are orange, blue, yellow, or green. The choices of ribbon are white or purple, and the choices of bows are red, purple, or white. How many different combinations are there available?
Geometry
Coordinate systemSuppose you inherited a house that was purchased in 1950 for $20,000. It is now 2015 and the value of the house has increased by approximately 5% each year (compound annually). What is the house worth now? Round to the nearest dollar.
$[? ]
Geometry
Coordinate systemFactor the following polynomial.
4x² - 1
([?]x + [ ])([ ]X[ ][ ])
Enter the number that belongs in the green box.
Geometry
Coordinate systemThe population of algae in an
experiment has been increasing by 40%
each day. If there were 20 algae at the
beginning of the experiment, predict the
number of algae in 7 days.
First, complete the equation:
Future Amount = 20(1+0.40)7
Solve. Round to the nearest whole number.
Future Amount = [? ] algae
Geometry
Coordinate systemFor any number n>1, is
|(.5+ .2i)n
A. greater than 1?
B. less than 1?
C. equal to 1?
Geometry
Coordinate systemGiven AABC with AB = 11, BC = 13 and AC = 16. Draw a sketch and determine the order of the angle
measures in the triangle from largest to smallest.
1. angle A
2. angle C
3. angle B
Geometry
Coordinate systemC is between A and E. Draw a picture representing the three points and the given information, then solv
AC = 24 in, CE = 13 in., AE =__________?
20.2 in
11 in
27.3 in
37 in
Geometry
Coordinate systemSketch the curves over the interval [0, 2π] unless otherwise stated.
Use the first derivative to identify horizontal and vertical tangents.
8. r = 2 + 2 sin θ
9. r= 2 + cos θ