Coordinate system Questions and Answers

a 30 60 90 triangle which leg is shorter The side opposite the angle measuring 60 A The side opposite the angle measuring 30

What is the volume of this triangular pyramid 9 m 10 m 9 m cubic meters

7 Annotate A O or H on the sides below using their gl A 0 5 4 C 3 B 6 8 10 0 A 12 CA B 13 5 units 8

5 Which ratio correctly shows sinc B 18 A A A 24 30 B C 3 4 3 6 Which ratio correctly shows cosX X Z A C 15 17 8 34 30 16 Y B D 8 17 15 8

What is the volume of this triangular pyramid 10 yd f 10 yd 6 yd cubic yards

Draw line diagrams label each trigonometric function and find the exact numeric value for each angle 2 45

A boat travels 21 miles due north and then 28 miles due east Then the boat travels in a straight line back to its starting point What was the straight line distance of the boat to its starting point 28 miles 33 miles 35 miles 49 miles None of the other answers are correct

Sue is making a kite The vertical stick is 90 cm long and the horizontal stick is 80 cm long They intersect at a right angle 60 cm from the bottom of the vertical stick The vertical stick bisects the horizontal stick Sue wants to add a border around the perimeter of the kite What is the length of material Sue will need for the border Round your answer to the nearest centimeter cm

5 Match the correct answers Given ACE BD 2 00 Is the parallelogram a square Write the number of the theorem that supports your answer 1 0 ABCD is a rectangle Theorem 20ABCD is a rhombus Theorem

ML 6 Add subtract multiply and divide polynomials 5WQ Divide If the polynomial does not divide evenly include the remainder as a fraction 5t 49t 3 t 10 D

Determine whether the trapezoids are similar They may not be drawn to scale 68 Show your work here O Similar O Not similar 11 8 123

11 9 Match the vectors p q r s and with one of the combinations of the and vectors from the graph Vector Vector 75 1 t Combination a 37 b 3u v c u v d 27

Using the graph below point F is represented by

What is the volume of this figure 2 ft 1 ft cubic feet Submit 6 ft 6 ft 1 ft 2 ft

Given the graph Find a 10 Fill in the equation a 20 10 0 6 2 10

In 199m is In circle F G and J are points of tangency Determine whether each statemen in Problems 8 12 is always or sometimes true Explain your reasoning 8 ZGFJ and LGHJ are supplementary 9 ZHJF and LGHJ are supplementary 10 ZGHJ ZGFJ 11 ZHGF ZHJF 12 ZFGH ZGHJ

Draw the 3 altitudes for the triangle below and place a point at the orthocenter of the triangle 12 11 45GSE Clear All Draw 10 9 8 659 4 325 12 11 10 9 8 7 6 5 4 3 2 1 2 3 4 7795 6 8 9 10 11 12 AV 3 56 7 8 9 10 11 12

A X 92 O MathBits com B Figure 3 5 3pts each Use Figure 3 above to help answer the following questions Here s a hint Think about what segment AB represents and the Arc created by that segment a What mxCAB b What m ABC c What m AB d What mxAB

A 76 B D 45 C Figure 2 4 3pts each Use Figure 2 above to help answer the following questions a What m4ADB h What m

3x 3 yz 2 xy 4 z 3 11x 2 y 2 z 5 3x 2 yz 3 15xy 4 z 3 4x 2 y 2 z 5 difference is implify your answer Do not factor

pair of sine curves with the same period is given y 15 sin 2t y2 15 sin 2t Y1 a Find the phase of each curve y1 phase Y2 phase 70 2 0 2 100 b Find the phase difference between the curves X X out of phase X c Determine whether the curves are in phase or out of phase O in phase

3 In the diagram above MN 5 2 Determine LM and LN

Use the given graph of f x x to find a number such that if x 1 then 1x 11 Round your answer down to three decimal places 1 5 1 0 5 y x

At a certain food truck hamburgers are sold for 5 each and hot dogs are 3 each If Martina buys one hamburger and h hot dogs and spends at least 20 and no more than 25 what is one possible value of h

Find a trigonometric equation using sin x that represents the given graph Then find another trigonometric equation using cos x that represents the same graph 11 A 5 3x 4 2 MIN 2 3x 4 18 2x

Draw the 3 medians for the triangle below and place a point at the centroid of the triangle 7 6 5 4 Clear All Draw m 2 1 6 50 3 2 1 1 2 3 4 5 2 6 7 AVO A 5 10

P to Q 2 Note Figures not drawn to scale For acute angles P and Q shown above cos x sin y If x 3c 23 and y 7c 42 what is the value of c A 24 5 B 15 5 C 9 0 D 6 0

13 the customers ordered the brunch special Which of the following could be the total number of customers in the restaurant that morning A 40 B 42 C 44 D 48 d 8t vt h The equation above gives the distance d in meters a projectile is above the ground t seconds after it is released with an initial velocity of v meters per secon from an initial height of h meters Which of the following gives v in terms of d t and h d h t A v B V C v 8t d h t d h 8 8t

When three times a number n is added to 9 the m is 3 What is the result when 4 times n is added to A 2 B 3 C 6 D 22

For what value of x is 37 X 20 3

Round all your intermediate calculations and answer to four decimal places A city wants to build a new section of highway to link an existing bridge with an existing highway interchange which lies 9 kilometers to the east and 10 kilometers to the south of the bridge The first 7 kilometers south of the bridge is marshland Assume that the highway costs 5 million per kilometer over marsh and 2 million per kilometer over dry land The highway will be built in a straight line from the bridge to the edge of the marsh then in a straight line to the existing interchange At what point should the highway emerge from the marsh in order to minimize the total cost of the new highway How much is saved over building the new highway in a straight line from the bridge to the interchange Hint Use similar triangles to find the point on the boundary corresponding to a straight path and evaluate your cost function at that point Bridge 9 x Marsh Interchange

y 24 x 3 78x 2 49x 10 The height of the prism is given by 2x 5 Finc prism

Consider the following VENN Diagram 1 2 8 A 9 S How many are in the set AB ie The intersection of complement of A and the complement of B 2 B 3

17 If the axes are rotated 45 the equation xy 32 changes to which of the following 76 A D 8 x 8 8 x 8 1 1 x y 64 B x 64 E y 64 x 1 O C x y 64

20 points Sara will use 7 cups of apples to make 4 batches of applesauce Decide whether the expression shows the number of cups of apples in one batch 4 divided by True False

Triangle FGH is similar to triangle DEF Solve for p P 12 F H 16 5 24 G F P 22 32

Triangle XYZ is similar to triangle PQR Solve for k k Y 10 5 Z 19 5 16 5 X k 6 5

Opening Activity 1 Multiply 3x 5 2x 4x 7

H S 40 R x M MATHguide com Figure 3 Using Figure 3 above what is the measure of x

2 2 2 20 18 16 4 42 Hol 8 6 6 y 4 X 1 16 2 2 Hot 8

K 73 41 J 72 What is the measure of angle HKI 75 7

What line has the smallest measure of slope of the lines graphed line k line line m OW

10 P PP 4 4 J 4 3 2 1 Y 10 0 1 M 2 M in 6 7 4 NO 9 10 P E W 4 L n e 10X What is the slope of the given line What is the slope of a parallel line Draw a parallel line that has a y intercept of 4 Write the equations of both lines

2 Write the equation for the line on the graph Hint Start by reading 2 points off the graph and then do the same steps as in Problem 1 30 83852 20 15 10 5 5 4 3 2 1 0 1 2 3 10 15 20 27

Find an equation of the line containing the given points Use function notation to write the equation 53 1 11 7 14 and f x Simplify your answer Use integers or fractions for any numbers in the expression

How many people voted in the peelerace schedule bele 128573 1 Choice ACBBC 2 Choice CBCDA 3 Choice BADAD Cholce D DACH 0 35 05 0 12 030

The following table shows the actual demand observed over the last 11 years 3 4 Year Demand 1 8 2 8 5 12 6 7 6 7 13 8 12 8 9 8 7 Using exponential smoothing with a 0 30 and a forecast for year 1 of 7 0 provide the forecast from periods 2 through 12 round your responses to one decimal place Year 1 2 3 4 5 10 13 10 11 6 11 12

Use transformation of f x to graph the following function f x x 2 2 Mark the 3 precise reference points What is the horizontal shift reflecting stretching shrinking and vertical shift

Find the quadratic function passing through the points 1 4 1 6 and 2 16 F x X X

ring equations are true false State w 2 x 8y 3x 3z