Geometry Questions

9 A lot for sale in a subdivision has the shape of the quadrilateral shown in the figure Find the area the lot rounded to two decimals 10 points 75 ft 800 40 ft 135f 128 ft

4 Identify Each Triangle by Side and by Angle Relations 42 3 AAE 4 VA A12 47 A11 A9 44 A10 A5 A1 A6 2 48 A3 10 12 a Equilateral b Isosceles Right c Acute isosceles d Obtuse Scalene e Obtuse Isosceles

1 What are the similarities and differences between finding the areas of Parallelograms Rectangles and Square BU Font Family AA A E

12 This shape is BEST described as being a n 13 Based on this type of triangle we know that y 14 Since the perpendicular bisector splits this into to two A s we can set up the folla x 80 X X 180 15 Find the measures of x and y y 180 degrees degrees

6 This shape is BEST described as being a n 7 Based on this type of triangle we know that y 8 Find the measures of x and y X y degrees degrees

3 Find the area of the following figure The units are in meters 10 A 12 m

2 This shape is BEST described as being a n 3 Based on this type of triangle we know that x 4 Set up an equation to solve for the missing angles x y 40 x y 5 Find the measures of x and y X y degrees degrees

Solve for x and find the perimeter of AABC x 3 D 4x 9 8 C B

9 This shape is BEST described as being a n X 30 10 Find the measures of x y and z y N Z degrees degrees degrees

9 The area of a rectangle is 15 square inches If the length of the rectangle is 2 more than the width find the length and width length width inches inches

11 Find the measures of x and y X y X 70 degrees degrees

8 Find the area of the following figure The units are in feet 12 14 49

7 Find the area of the following figure The units are in hectometers 2 10

4 Find the area of the following figure The units are in centimeters A 11 6 cm

2 Find the area of the following figure 13 yds A 12 yds yd 27 yds 27 yds 13 yds

Divide Check your answer If there is a remainder write the remainder over the divisor 2x 3 2x 2 6 x 2

When 6x 2 36x 32 is divided by a polynomial the quotient is 6x 6 and the remainder is 2 find the polynomial

Write parametric equations on a restricted interval for t to define the given graph Use only the given points when finding equations The parametric equations are x and y A for Osts 1 X G

9 How many paths are from A to B You can only travel South and East A

Write an equation that describes the following relationship y varies inversely as the cube root of x and when x 64 y 7 Y

S1 www analyzemath com 2 If the lenght of S2 is 80 feet find the radius of the circle Radius 2 feet 3 Find the Circumference of the circle

Write the vector in the form a b op 6 o 2 2 60 00 X

In 2021 an everything bagel from the Einstein Bros in Centennial Hall cost 0 89 In 2023 that same bagel cost 1 09 The linear function f t that models the price in dollars of an everything bagel t years after 2021 is Of t 0 89 0 1z Of t 0 89 0 1z Of t 1 09 0 1r Of t 1 09 0 12

A B A parallelepiped is determined by the vectors OA 2 2 5 OB 0 4 1 and oc 0 5 1 Based on the diagram calculate its volume

Write any fractions like this 5 2pi Here is the grapmorld sin wave High T Low B 2 High value 3 Low value 4 New Period Length 5 1 4 of Period 6 Value of interval A D the function y 2sin1 2 x 2pi 1 1 Origin horizontal vertical e g pi 2 E Given

1 Given sin A and cos B a Find the exact value of 1 cos A 7 and both A and B are in the Q1 2 sin B 1 5 points each b Using the values from above use a sum or difference identity to find the exact value of 3 points each 1 sin A B 2 cos A B

Using data and projections from 1950 to 2050 the number of women age 16 years and older in millions in a particular country s civilian labor can be modeled by the following where x is the number of years after 1950 y 0 00009x 0 00636x 1 043x 17 389 Use the model and a graphing utility to estimate when the number of women in the labor force reached 84 million The model projects the civilian labor force to be 84 million in Round up to the nearest year

The lot in the figure shown except for the house shed and driveway is lawn One bag of lawn fertilizer costs 15 00 and covers 5 000 square feet Use this figure to complete parts a and b below Note that the figure may not be to scale a Determine the minimum number of bags of fertilizer needed for the lawn 50 40 ft Drive House 2001 400 11 St

Let SinA 15 17 with A in Q11 and sinB 4 with Bin 5 Q111 find sinCA B cos A B and tean A B

hel 7 Since B is split by a line we must add the two parts of the angle together x 26 x 2 x3x Angle B x 3x 4x Angle A 2x 4 10 Find A B C by plugging in your answer from the last question in for x Angle B x 3x degrees degrees

Question 8 Points 2 Find the slant height of a regular pentagonal pyramid whose length of an edge is 6 cm and lateral surface area is 160 cm O 10 67 cm O 12 85 cm 9 45 cm 18 65 cm

Find the volume of the rectangular pyramid whose base is 3 m 6 m and whose height is 5 m 30 m 60 m O 90 m O 10 m

Question 3 A building in the shape of a square pyramid is washed for decoration The outside of the building is washed using one gallon of cleaning solution for each 100 square feet of surface The slant height of the pyramid is 125 ft Calculate the approximate number of gallons needed to wash the building if 50 ft is the side length of the base 84 O 125 O 150 Points 3 158

Question 7 A shopping mall is decorated for the holidays with spherical balls The balls are of different sizes Which of the following radii fits a ball with a volume of 288 mm 4 mm O 5mm O 6mm Points 2 O 7mm

Lesson Posttest Question 6 Points 1 What is the surface area of a sphere with a radius of 8 cm O 125 85 cm O 186 5 cm O 804 57 cm O 757 6 cm

Question 5 Find the radius of the ball if it has a surface area of 60 square inches O 30 in O 15 in O 30 in Points 2 O 15 in

Question 7 Points 3 How much glass in square cm is needed for an aquarium without a glass lid that is 100 cm deep 400 cm long and 200 cm wide O 140 000 O 200 000 O 280 000 O 340 000

Find the volume of the sphere whose radius is 10 cm Use 3 14 1 188 cm O 4 282 cm O4 187 cm O 3 128 cm

Question 2 If 1 gallon of paint covers 400 square feet about how many gallons of paint are needed to paint the exterior of a spherical tank of a diameter 30 feet Use 3 14 6 065 O 7 065 08 065 Points 3 8 065

Question 1 Points 2 Find the surface area of a sphere with a radius of 22 cm 6 084 57 cm O 1 024 57 cm O2 585 5 cm O245 67 cm

Question 5 A box has a volume of 336 cubic inches What is the length of the box if the width and height are 7 inches and 6 inches respectively O 5 in O 6 in O 7 in Points 1 O 8 in

Question 9 Points 2 If a cylindrical water bottle has a radius of 4 cm and a height of 12 cm how many cubic centimeters of water will it hold 190 cubic centimeters O 182 cubic centimeters O 192 cubic centimeters 172 cubic centimeters

Question 4 Points 2 Find the surface area of a brick with a length of 9 inches a width of 6 inches and a height of 4 inches O 110 square inches O 198 square inches 228 square inches O 270 square inches

Express 14 0 1 3 2 3 2 X X x x x 2 2 in the form x What is the value of s O None of these are correct

Question 3 Points 3 The height and diameter of a cylinder are equal Find the volume of the cylinder if the radius is 5 in 150 in 50m in 250 in 350 in

on Posttest Points 2 The surface area of a cubical box is 121 5 square feet Find the length of the base Question 6 O 3 5 ft O 3 75 ft 4 5 ft O 4 75 ft

Question 2 Points 2 Find the total surface area of the cylinder if its diameter and height are 12 in and 24 in respectively Use 3 14 1 130 4 in O904 32 in O 678 24 in O 226 08 in

esson Posttest Question 1 Points 2 The height of a cylinder is five times its radius Find the surface area of the cylinder if the radius is 5 units O 1007 sq units 2007 sq units O 300 sq units O 4007 sq units

12 20 8 Explain why the altitude of this triangle is outside of the figure Under what conditions would the altitude be inside or on the side of the triangl

X 11 Find x X 12 Find y y 13 Find z Z N 70 60 degrees degrees degrees