Geometry Questions

A golfer tees off on level ground and hits the ball with an initial speed of 49 m sec at an angle of 33 above the horizontal Choose a coordinate system with the origin at the point where the ball is struck Remember to use the degree symbol if necessary Part 0 5 Part 1 of 5 a Write parametric equations that model the path of the ball as a function of time t in sec Simplify your answers as much as possible The parametric equations are X and y Osino cas

10 8 6 HERRE 4 2 8 9 6 4 2 CH 2 6 8 10 2 4 6 8 8 X 10 Q Write the standard equation for the hyperbola graphed above

se OP at the right to find the name of a minor arc whose measure is less than 82 C D 829 P 68 B 6 cm A

A factor that is necessary for the formation of a new species is OA different mating behaviors OB reproduction at different times OC geographic barriers OD reproductive isolation

What structural problem prevents adenine from pairing with guanine OA they lack the deoxyribose group OB they lack phosphate groups OC the bases are both short OD the bases are both long

The separation of populations by barriers such as rivers mountains or bodies of water is called QA genetic equilibrium B temporal isolation C behavioral isolation D geographic isolation

Triangle ABC has vertices A 3 2 B 1 3 and C 5 0 Write the coordinate notation for a translation of 6 units left and 9 units down Then write the coordinates of AA B C Part A Write the translation in coordinate notation Part B Write the coordinates of the image Show your work here

MatuloyDNE 7 Tameeka is in charge of designing a school pennant for spirit week What is the area of the pennant Example 3 31 1 ft 9 CLASS OF 2020 8 6 km TIGERS 6 ft Find the missing dimension of each triangle Example 4 10 b A 38 7 km2 8 Norma has an A frame cabin The back is shown below If the total area of the windows and door is 3 5 square yards how many square yards will she need to paint to cover the back of the cabin Example 3 12 642571 5 yd 6 75 in A 13 5 in h 8 yd

13 FIND THE ERROR A student is finding the height of the triangle Find the student s mistake and correct it 17h 68 h 4 meters 17 m A 68 m 15 CONSTRUCT AN ARGUMENT Mrs Giuntini s lawn is triangle shaped with a base of 25 feet and a height of 10 feet Is the area of Mrs Giuntini s lawn greater than 250 square feet Write an argument that can be used to defend your solution 14 CONSTRUCT AN ARGUMENT Determine if the following statement is always sometimes or never true Write an argument that can be used to defend your solution If a triangle and a rectangle have the same base and height the area of the triangle will always be greater 16 CREATE Draw and label a triangle with a base that is 3 times its height and has an area that is less than 50 square inches

12 B Apply the nearest neighbor algorithm to the graph above starting at vertex A Give your answer as a list of vertices starting and ending at vertex A Example ABCDA

rod connecting the piston to end of the crankshaft measures 12 cm What distance up and down in a cylinder rotates a wheel with radius 5 cm The must the piston travel to change the angle from 40 to 140 12 cm 40 Crankshaft 5 cm netry N Orlando

Given OS PR 21 22 Prove MO MT OP SR P M T Hint Use substitution property as a reason why z1 zMTO R

1 Would you use primary or secondary data in each situation Explain a To determine the percentage of fellow workers who drink at least one coffee a day 2 marks b To find the average weight of Canadian men 2 marks

Given TP VW lengths Find ST TV and PT as shown 10 T W

How many walks of length 10 are there from the green start to the red end node in the graph below START END

Find the lateral and total surface area for the figure round to the nearest tenth if necessary 23 4 LA SA

Use the given information and a calculator to find 0 to the nearest tenth of a degree if 0 0 360 cos 0 0 3150 with 0 in QIII sin 0 0 3168 with 0 in QIII sec 0 2 with 8 in QII sin 8 3 2 and 0 in QIV

number Area of smaller parallelogram 6 ft 4 The area of the larger parallelogram is Round to the nearest whole number as needed 00 2 ft 6 ft

For problems 4 6 use the figure below 3 Find the m 1

Can someone please explain the steps with a diameter of 4 feet and a height of 9 feet This trough is conical in shape and is filled with a liquid that weights tbs per cubic foot The depth of the liquid is at 7 feet What is the amount of work in ft lbs that is required to empty the conical trough by pumping the water over the top

A boy is flying two kites at the same time He has a 350 ft of line out to one kite and b 430 ft to the other He estimates the angle between the two lines to be 30 Approximate the distance between the kites

A woman standing on a hill sees a flagpole knows is 70ft tall The angle of depression to the bottom of the pole is 14 degrees and the angle of elevation to the top of the pole is 18 degrees Find her distance x from the pole S 1945 2060 ing on a hill sees a flagpole that she knows is 70 ft tall The angle ce x from the pole Round your answer to one decimal place ft

Complete the following sin 116 81 trig O Note that the given angles are in radians cos sin A op C

E 21 14 D B x 1 X What is the value of x O x 2 O x 3 O x 4 O x 6

Given Diagram as shown h 24 b 30 c 25 Find a K R r note K area triangle ABC B C h A D b R

x 2 Spl x 4 Which equation results from applying the secant and tangent segment theorem to this figure O x x 2 x 4 O x x 4 x 2 O x x 4 x 2 Ox 2x 4 x 2

3x Let 0 be the measure of an angle in radians in standard position with 0 Find the exact y coordinate of the intersection of the 2 11 terminal side of 0 with the unit circle given cos 0 sin 0 State the answer as a single fraction 16 The exact y coordinate is Simplify your answer including any radicals Rationalize all denominators Use integers or fractions for any numbers in the expression

41 in The area isin 49 in Find the area

Find the area of the regular polygon 041 Round to the nearest tenth as needed Area

A balloonist is directly above a straight road 1 8 miles long that joins two towns She finds that the town closer to her is at an angle of depression of 40 and the farther town is at an angle of depression of 38 How high above the ground is the balloon The balloonist is about miles above the ground 40 1 8 mi Not to scale answer to two decimal places as needed Round all intermediate values to four decimal places as needed

For problems 1 3 use the figure below Find the m1 Answer

What is the area of the regular polygon The area is m Round to one decimal place as needed

Find the area of the regular polygon with the given apothem a and side length s decagon a 22 m s 14 3 m The area is m Simplify your answer Round to one decimal place as needed

22 32 X M 14 N In the diagram the length of the external portion of the secant segment PN is The length of the entire secant segment LN is The value of x is

Examples Find the indicated angles in each of the triangles below Round your final answers to the nearest hundredth Figures may not be drawn to scale a 15 17 X X

Complete the following sin 116 81 ing O cos A sin

2 If sin 0 3 0 0 a sin 20 A 0 find the exact value of each of the following 0 b cos 20 a sin 20 Type an exact answer using radicals as needed 0 c sin 2 b cos 20 Type an exact answer using radicals as needed d cos c sin Type an exact answer using radicals as needed 0 2 Type an exact answer using radicals as needed d cos

6 Determine the length of side x to the nearest inch X 16 12

3 Calculate the value of z to the nearest hundredth tan 24 34

B x 2 E D x 5 x 12 C BE is 2 units longer than AE DE is 5 units longer than AE and CE is 12 units longer than AE What is BD units

A D E B Chords AC and BD intersect at E with BD 7 units DI 2 units and AE 4 units What is the length of segment CE units

4 Determine the length of side x to the nearest tenth K L 172 cm 55

2 Calculate the value of y to the nearest tenth cos 52 Y 80

7 in 4 in Kylie writes an equation to solve for the diameter d of the circle shown Solve Kylie s equation to find the diameter of the circle 4 d 4 7 What is the diameter O 7 5 in 8 25 in O 11 25 in O 13 25 in

Express cos C as a fraction in simplest terms A 22 B 39

Find the area of the regular pentagon with apothem a 1 6 in and side s 2 4 in Round your answer to the nearest tenth

Solve for x Round to the nearest tenth if necessary 33 8 8 x M

Find the value of tan N rounded to the nearest hundredth if necessary E N 5 M 92 67 L

6 8 U V 10 T S If secant segments SR and TR intersect at point R find the length of VT Start by relating the secants and segments theorem to this diagram RS RV Substitute values from the diagram into the equation 8 16 Solve for VT VT 1

Solve for x Round to the nearest tenth if necessary L 54 M X 58 K