TSI Math 2

studied byStudied by 12 people
5.0(1)
Get a hint
Hint

Volume of a Sphere

1 / 40

flashcard set

Earn XP

Description and Tags

41 Terms

1

Volume of a Sphere

V= 4/3 pi r^3

New cards
2

Volume of a pyramid

V=1/3 b* h

New cards
3

Volume of a cone

V= 1/3 pi r^2 *h

New cards
4

Volume of a Rectangular prism

V= lwh

New cards
5

Volume of a cube

V= s^3

New cards
6

Surface Area of a Sphere

4 pi r^2

New cards
7

Surface Area of a Cylinder

2 pi r^2 + pi* d*h

New cards
8

Surface Area of a Rectangular Cube

2* lh + 2h*w + 2 lw

New cards
9

Surface Area of a Cube

S^2 * 6

New cards
10

Area of a Circle

Pi r^2

New cards
11

Pythagorean Theorem

for Rt. Triangle= a^2*b^2=c^2

New cards
12

Area of a triangle

1/2bh

New cards
13

Area of a parallelogram

b*h

New cards
14

Area of a trapezoid

1/2 *h (b+ b)

New cards
15

Circumference of a circle

pi* d

New cards
16

Change a % to a decimal

Move decimal point 2 places to the left EX. 63% = .62

New cards
17

Change a decimal to a percent

Move the decimal point two places to the right. EX. .54 = 54%

New cards
18

Change a percent to a fraction

25% = 25/100

New cards
19

Change fraction to percent

2/5 = 40/100 Mult. top and bottom of fraction by number that makes denominator 100. (20)

New cards
20

Fractions that are mixed numbers or improper fractions equal are greater than or equal to...

100%

New cards
21

Finding the percent of a number: 25% of 12

.25 * 12 = 3 , so 3 is 25% of 12

New cards
22

Part/whole method of percent

Part/whole= %/100

New cards
23

30 is 75% of what number

30/x = 75/100 and solve for x

New cards
24

10% of 60 = 6 so 20% of 60 =

12

New cards
25

Percent change problems

change(difference)/orig. amount =%/100

New cards
26

Mental Math with 10%: what is 20% of 50?

10% of 50=5 therefore: 20% of 50= 10

New cards
27

Janet makes homemade dolls. Currently, she produces 23 dolls per month. If she increased her production by 18%, how many dolls would Janet produce each month?

First, calculate 18% of 23. 23 × 0.18 = 4.14 Then, add this value (the increase) to the original value of 23. 23 + 4.14 = 27.14 Rounding off, we get 27.

New cards
28

What is the formula for Area?

Area = L*W

New cards
29

Bill's new porch is rectangular, with an area of 50 square feet. If the length of the porch is two times the width, what is the perimeter of the porch?

The formula for the area of a rectangle:

A = Width * Length

From the question we know that L = 2W and that A = 50. So we can plug these values into our equation and solve for W:

50 = W * L 50 = W * 2W 50 = 2W² W² = 25 W = 5

We know that L = 2W, so L = 10 Perimeter = 2L + 2W Perimeter = 2 * 10 + 2 * 5 Perimeter = 30

New cards
30

Diego's current age is five times Martina's age ten years ago. If Martina is currently m years old, what is Diego's current age in terms of m?

Martina's age ten years ago is: m − 10

So Diego's age is: 5(m − 10) = 5m − 50

New cards
31

The variables x and y are directly proportional, and y = 2 when x = 3. What is the value of y when x = 9?

Y= KX 2= K3 2/3 = K3 /3 K = 2/3 Plug in K for the second formula Y=2/3(9) Y = 23 = 6 The correct answer is 6

New cards
32

The yard behind Cindy's house is rectangular in shape and has a perimeter of 72 feet. If the length L of the yard is 18 feet longer than the width W of the yard, what is the area of the yard, in square feet?

Area= L*W Perimeter= 2l + 2w L = W + 18 = 9+ 18 = 27

72 = 2 ( W+18) = 2w 72 = 2w+ 36+ 2w 72 = 4w + 36 36/4 = 4w/4 ----> 9= W 27* 9 = 243 The answer is 243

New cards
33

There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8 do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a speaking part?

Boys + girls = 20 8 of the children are boys + 12 girls = 20 the boys have 4 speaking parts and 4 do NOT have a speaking part. And of the girls 4 have a speaking part, but 8 of the girls do NOT have a speaking part. all of that added up should give you 20. 8 out of 20 have a speaking part, so we write that in a fraction form reduce it down which gives you the answer: 2/5

New cards
34

There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8 do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a speaking part?

Boys + girls = 20 8 of the children are boys + 12 girls = 20 the boys have 4 speaking parts and 4 do NOT have a speaking part. And of the girls 4 have a speaking part, but 8 of the girl do NOT have a speaking part. all of that added up should give you 20. 8 out of 20 have a speaking part, so we write that in a fraction form reduce it down which gives you the answer: 2/5

New cards
35

A ball was kicked into the air from a balcony 20 feet above the ground, and the ball's height above the ground, in feet, t seconds after the ball was kicked was h(t) = 20 − 16t2 + 32t. What was the maximum height, in feet, of the ball above the ground after it was kicked?

h(t) = 20-16t^2 + 32t h(t) = -16t^2 +32+20

x= -b /2a = -(32)/2(-16) = -32/-32 = 1 Plug one in the original equation. h(1) = -16(1)^2 +32+20 = -16+32+20 The answer is 36 ft

New cards
36

In the xy-plane, what is the y-intercept of the graph of the equation y = 2(x + 3)(x − 4)?

New cards
37

There are 3x-2 trees planted in each row of a rectangular parcel of land. If there are a total of 24x-16 trees planted in the parcel, how many rows of trees are there in the parcel?

Formula: ( trees / rows) (rows) = # of trees ( 3x-2/3x-2)/ rows = 24x-16/(3x-2) Rows= 8

New cards
38

10 people can paint a building in 5 days. If each person paints as quickly as the others then how much of the building could 7 people paint in 5 days?

10 people can paint a building in 5 days. Each person paints 1/10 of the building in 5 days. In 5 days 7 people would paint 7 × 1/10 of the building In 5 days 7 people would paint 7/10 of the building.

New cards
39

What is the x value such that y =15 - 3x and y = 0?

y =15 - 3x and y = 0

Hence 15 - 3x = 0

Hence 3x = 15

x = 5 : The answer

New cards
40

Put these four fractions in order from smallest to largest: 1/4, 2/3, 4/7, 1/2

If 1/4, 2/3, 4/7, 1/2 are converted to decimals we get 0.25, 0.6666...., 0.571....., 0.5 then the correct order is obvious

or

If 1/4, 2/3, 4/7, 1/2 are converted to fractions with a common denominator 21/84, 56/84, 48/84, 42/84 then the correct order is obvious.

New cards
41

An isosceles triangle has two equal sides. If two of the sides are 5 inches and 2 inches how long is the perimeter?

The other side must be 5 inches otherwise the two shorter sides could not meet. The perimeter is the distance around the outside of the triangle and is 5 + 5 + 2 = 12.

New cards

Explore top notes

note Note
studied byStudied by 67 people
Updated ... ago
5.0 Stars(3)
note Note
studied byStudied by 44 people
Updated ... ago
4.7 Stars(3)
note Note
studied byStudied by 7 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 4 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 51 people
Updated ... ago
4.8 Stars(6)
note Note
studied byStudied by 21 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 6 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 116 people
Updated ... ago
5.0 Stars(1)

Explore top flashcards

flashcards Flashcard50 terms
studied byStudied by 15 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard71 terms
studied byStudied by 13 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard39 terms
studied byStudied by 1 person
Updated ... ago
5.0 Stars(1)
flashcards Flashcard39 terms
studied byStudied by 3 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard114 terms
studied byStudied by 31 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard64 terms
studied byStudied by 97 people
Updated ... ago
5.0 Stars(2)
flashcards Flashcard200 terms
studied byStudied by 14 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard58 terms
studied byStudied by 106 people
Updated ... ago
4.0 Stars(1)