Area Questions and Answers

Place value is the value a digit has in a number In the decimal 0 45 is in the tenths place and hundredths place 2 Hundredths grids can be used to model decimals one 1 one tenth 0 1 3 Compare 0 55 and 0 83 Start at the left Compare each place value Look for the first place the digits are different The digits in the ones place are both 0 Compare the digits in the tenths place is the tenths place In 0 55 In 0 83 is the tenths place 5 tenths 8 tenths so 0 550 83 One whole hundredths grid is equal to 1 10 unit squares are equal to one One unit square is equal to one 4 Compare 1 43 and 1 13 The digits in the ones place are both 1 Compare the digits in tenths place 4 tenths 1 tenth so 1 43 1 13 one hundredth 0 01 4 23 2 98 0 55 is in the 1 43 the Back Write or in each Use place value blocks grids or number lines to help 0 56 0 68 0 8 0 80 0 83

7 If the sum of the interior angles of a regular polygon is 900 find the number of sides

9 Tasha the dog is tied to a stake in the center of a circular area of radius 24 feet The angle between her doghouse and her favorite hydrant is 165 degrees What is the length of the arc from her doghouse to the hydrant following minor arc DG to the nearest foot a 40 ft b 35 ft C d 55 ft 69 ft D 04165 24

ah Lovett Attempt 1 1 2 N 5 00 3 6 H M N Q

x mie wants to find out how many students at her school go to the movies at least twice a week She interviews 175 students and records their gender and a yes if they go at least twice a week and no if they go less than twice a week e displays the results in the table What is the probability that a male goes to the movies at least twice a week round to the thousandth A x 0 343 B 0 100 4x C 0 200 D 0 438 x E Do you go to the movies at least twice a week 1 040 Yes No Total Male 35 45 80 Female 67 28 95 Total 102 73 175

Dashboard Blueprints Question 6 Not yet answered SOHA Points Click the buttons above to use the 3D Model Scaling Select one What is the sq feet of a room that measures

Find the area of the triangle below

For the right triangles below fi If necessary write your respon

The length of a rectan The area of the recta dimensions 2 Identify the root is irregular

7 A number from 1 72 is chosen at random decimal and percent a P multiple of 9 Z 1 4 72 c P factor of 72 and even 8 A card is chosen at random from a standar simplest form decimal and percent a P ace

10 MGSE6 G 4 tes Find the surface area of the following rectangular prism 5 cm 2 cm 2 cm h 5 cm 150 25 S L 10 cm

The vector v has initial point P and terminal point Q Write v as a position vector P 12 17 O A O B O C O D 6 7 5 12 6 5 67 5 12 7 10 6 5 7 12 7 12 5 12

You pick a card at random 2 3 4 5 6 What is P even or prime Simplify your answer and write it as a fraction or whole numbe

Diane has pulled 2 green marbles and 10 other marbles from a large bag What is the experimental probability that the next marble selected from the bag will be green Simplify your answer and write it as a fraction or whole number P green

In A ABC mzC 55 5 12 The area of A ABC is 0 574 Move values to the blanks to find the approximate area of A ABC 17 2 B not drawn to scale 0 819 24 6 square units S

Of the last 12 contestants on a game show 3 qualified for the bonus round What is the experimental probability that the next contestant will qualify for the bonus round Simplify your answer and write it as a fraction or whole number P bonus round

Write down your answer to the following question enter number only 1 How many times do you need to use box shaped scoops like the one shown on the left below are needed to fill the inverted pyramid shape shown on the right below ype your answer here 16 12

Watch help video XR is tangent to circle O at point X IfmXY 110 find m YXR X R F Y

Watch help video If mCW 180 and m Q 58 find mSJ S W

Watch help video YX is tangent to circle O at point Y If m SY X 120 find mYTS T S X T

Given 4PQR 4XYZ find the perimeter a 17 cm b 32 cm c 34 cm d 48 cm S 0

Brody wants to enlarge a triangular rock garden original front edge dotted segment as shown in he need for this new front edge a 13 ft b 12 ft c 5 ft 3 d 4 8 ft 4 ft 6 ft

basketball player has 0 6 probability of makin what is the probability that she misses three free 0 600 0 400 0 216 0 064

OD A person rolls two fair six sided dice a 1 3 b 5 12

C re are 15 billiard balls 8 striped and 7 randomly grab one out What is the p

Record dmari wilso564 ahschools us as t A grocery chain runs a prize game by giving a prize when a box is scratched Printed on probabilities for a customer who shops onc What is the probability of winning nothing a 0 74 b 0 69

1 Find volume of the prism shown below 2 10 cm 4 ft 12 cm 8 cm 6 ft 22 cm 4 ft 9 ft Given Formula Solution Answer Given Formula Solution Answer

e the graphing utility to plot the graph of y tan y 2 0 052 2 8 y 2 45 2 1 1 75 1 4 1 05 0 7 0 35 on the interval 1 50 I R

1 5 Tranformations Let f x 4 T If g x is the graph of f x shifted down 3 units and right 1 units write a formula for g x g x 4 Enter cort

11m 12 2 6 points Find the exact values of cosx and sinx using a sum or difference identity if x Hint 2 3 14 11 12

Example 14 Two graphs are shown below Relate the function g x to f x f x 5 4 3 2 g x 4 W 3 2 14 Show solution 6 to X Notice that the coefficient needed for a horizontal stretch or compression is the reciprocal of the stretch or compression To stretch the graph horizontally by 4 we need a coefficient This makes the inputs come in 1 4 as fast so the function takes 4 times longer to increase and decrease of 1 4 in our function 1 It is useful to note that for most toolkit functions a horizontal stretch or vertical stretch can be represented in other ways For example a horizontal compression of the function f x x by would result in a new function g x 2x but this can also be written as g x 4x a vertical stretch of f x by 4 When writing a formula for a transformed toolkit we only need to find one transformation that would produce the graph Exercise 1 5 7 Write a formula for the toolkit square root function f x x horizontally stretched by three

port Bis 300 m from airport A at a bearing N 50 E see the figure A pilot wishing to fly from A to 8 mistakenly flies due east at 200 mi h for 40 min when he notices his error 50 300 mil ort B Airport A a How far is the pilot from his destination at the time he notices the error Round your answer to one decimal place mi b What bearing should he head his plane to arrive at airport 57 Round your answer to the nearest degree

10 9 8 7 6 5 4 3 2 1 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 1 2 3 4 6 7 8 9

O is the center of the regular octagon below Find its perimeter Round to the nearest tenth if necessary Answer P units

In AHIJ IJ 11 JH 8 and HI 5 Which list has the angles of AHIJ in order from largest to smallest m I m H m J Om J m H m I m J m I m H Om I m J m H m H m I m J Om H m J m I

In AQRS m Q 42 and m R 103 Which statement about the sides of AQRS must be true O QR RS SQ O SQ RS QR RS QR SQ ORS SQ QR O QR SQ RS O SQ QR RS

3 H BONAN 12 se su 4 8 cm Question 14 1 point B 14 E 75 What is the measure of arc ED AFC

Which angles are corresponding angles N Q M O R POR and ZSRT ZSRT and SRO T P S ZQRO and POR POR and CRON

6 The probability that Jordan like 0 15 If these events are independer

3 Joseph interviewed three people randomly for a place in h below Morgan is focusing on his album and is not a guitarist Ang Morgan Consider the frequency table shown below and find the pr Vocalist Not a vocalist Guitarist 41 3 Column total 44 Events Not a guitarist Row total 50 9 18 27 Probability that Morgan is a vocalist Probability that Angela is not a guitarist 21 71 67 00

A suburban city has a population of 58 000 people It has an area of 22 mi What is the population density in terms of people per square mile 4x A B about 37 931 about 188 C about 2 636 about a

10 A bag contains blue and yellow r selecting a blue marble on the fi What is the probability of selecti 115 0

The First Problem Solve the following nonhomogeneous problem by decomposing the solution into two parts similar ideas used in the lecture notes for section 8 2 u 0 t A u L t B u x 0 f x ut kuxx cos 2x where A B are constants

19 Find x if m 2 2x 4 and mZ1 x 5 P W 2 U

A 13 foot ladder is leaning against a wall If the po how far from the base of the wall is the the ladder 1x A 25 feet

Acircle has in weer of 32 sa What is the exact circum of the cirule in inches

x Which is equal to sin 36 x A B C cos 64 cos 54 sin 64

4x Find the measure of ZC to the nearest degree x A 66 B C C 20 22 Co

D Nationa Pa National par Gouther National po

2 If the point P on the sphere corresponds to z under the stereo graphic projection show that the antipodal point P on the sphere corresponds to 1 z