The equation above can be used to calculate the volume V, of a pyramid with a height h and base with length l and width w. If the volume of a pyramid is 81inches^3, and l=w=3h, what is the length of the base of the pyramid in inches?

Answers

Answer 1
Volume of a pyramid is V= lwh/3
You know
V=81
l=3h
w=3h

h=3
l=9
w=9

So length is 9 inches
Answer 2
Comment
The formula for a pyramid = (1/3) L * W * h The base in this case is square.

Givens
L = W
W =W
L = 3H 
H = L/3 = (1/3L)
V = 81 in^3

Solve
V = 1/3 L * W * H
V = 1/3 L * L * 1/3 L
81 = 1/9 L^3   Multiply through by 9
81 * 9 = L^3
729 = L^3  Take the cube root of both sides.
cube root (L^3) = cube root (729)
L = 9 in

Related Questions

You are reading a book with 120 pages if you want to read the same number of pages each night how many would you have to read each night to finish in 10 days

Answers

Divide the pages in the book by the amount of days to figure out the number of pages to read each night.

[tex]120 / 10 = 12[/tex]

If you want to read the same number of pages each night for 10 days, you will read 12 pages every night.
The answer is 12
If you wanted to finish an 120 paged book in 10 days you would have to read 12 pages. You can ether divided 10/12 and you confirm your answer by 10•12.

Simplify the expression insert

Answers

First, we are going to perform the division of the fraction inside the radical:
[tex] \frac{96}{8} =12[/tex]
So, we can rewrite our radical as follows:
[tex] \sqrt{ \frac{96}{8}} = \sqrt{12} [/tex]

Now, we are going to decompose 12 into prime factors:
[tex]12=2^2*3[/tex]
So, we can rewrite our fraction as follows:
[tex] \sqrt{12} = \sqrt{2^2*3} [/tex]

Since 2 has the same exponent as the index of the radical, we can take it out:
[tex]\sqrt{2^2*3}=2 \sqrt{3} [/tex]

We can conclude that the simplified form of the expression is: [tex]2 \sqrt{3}[/tex]

Someone pleas help me!!!!!! An irrational number cannot be written as a ______ of two integers.
a) difference b) ratio

Answers

The answer is B)

Take Pi for example, it is irrational because it cannot be written as a fraction

If a number cannot be expressed as a fraction, it is irrational
Hope this helps!
An irrational number cannot be written as a ratio of two integers.

Answer: Ratio

Let j = 16. What is the value of k in the equation k = 2 × j + 4?

Answers

Hello!

You put 16 in for j

k = 2 * 16 + 4

Multiply

k = 32 + 4

Add

k = 36

The answer is 36

Hope this helps!
Substitute j with 16

That equals: 
-------↓-------
k = 2 × 16 + 4

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

Multiplication comes before addition

2 × 16 = 32
32 + 4 = 36

k = 36

Hope this helps :)


Jaden buys a raffle ticket. Each ticket has a 1% chance of being drawn. How likely is it that Jaden's ticket will be drawn? It definitely will be drawn.

It likely won't be drawn.

It likely will be drawn.

It definitely won't be drawn.

Answers

When Jaden bought the raffle ticket, he has a 1% chance of winning, which means that even if the chance is small, it's still there. 

Your answer would be

It likely won't be drawn. 

The answer is - It likely won't be drawn. The likelihood of Jaden's ticket being drawn is 1%, so it is unlikely that his ticket will be selected.

The likelihood that Jaden's ticket will be drawn depends on the probability of his ticket being selected. In this case, each ticket has a 1% chance of being drawn, which means there is a 1 in 100 chance that Jaden's ticket will be selected. Therefore, it is likely that Jaden's ticket won't be drawn.

Jaden's raffle ticket has a 1% chance of being drawn, making it much more likely that it won't be drawn than it will. The concept of 'being due to win' is a common fallacy as each draw is an independent event with a constant probability.

roselia build a cabinet in the shape of a rectangular prism.The cabinet was 30 inches wide, 4 feet tall,and 18 inches deep. What is the Valume of the cabinet in cubic feet

Answers

Vol. of a rect. prism is V = L*W*H.

Here, that vol. is V = (2.5 ft)(1.5 ft)(4 ft) = 15 cubic feet (answer)

Note:  volume (not valume).

The cabinet's volume is 15 cubic feet.

The student is asking how to calculate the volume of a cabinet in the shape of a rectangular prism. The cabinet dimensions provided are 30 inches wide, 4 feet (48 inches) tall, and 18 inches deep. To find the volume in cubic feet, we first need to ensure all dimensions are in the same units, so we convert inches to feet by dividing by 12.

Thus, the cabinet dimensions in feet are 2.5 feet wide (30 inches / 12), 4 feet tall, and 1.5 feet deep (18 inches / 12).

The formula to calculate volume is length x width x height:

Volume = width x height x depth

Volume = 2.5 ft x 4 ft x 1.5 ft

Volume = 15 cubic feet

Therefore, the volume of Roselia's cabinet is 15 cubic feet.

True or false;
If two planes cross one another, then their intersection is two lines.

Answers

if they intersect eachother then the answer is true
Hey There!

The answer would be true, because if your planes are not parallel, they're eventually going to meet and intersect.

Hope this helps!

(08.02)Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3

Answers

The solution to the pair of equations is x = 3

To figure this out simply set the equations equal to each like this 2x - 3 = -x + 6
this works because if both of the equations are equal to y then you can simply substitute one them in for y and solve.

To check substitute 3 into the new equation and solve:
2(3) - 3 = -3 + 6
6 - 3 = -3 + 6
3 = 3

Michael does not want to spend more than $21.00 on a new backpack, not including tax. Select all of the following descriptions of prices for backpacks that Michael would buy.

Answers

• 20% of $25 = $5 Therefore A is $20
• 10% of $25 = $2.5 Therefore B would come to $22.5
• 1/4 of $24 = $6
• 50% of $41 = $20.5 Therefore D would be $20.5


Your answers are A, C and D
a)
20% × 25 = 5
25 - 5 = $20.00

b)
10% × 25 = 2.5
25 - 2.5 = $22.5

c)
24 ÷ 4 = $6.00

d)
41 × 50% = 20.5
41 - 20.5 = $20.5

A, C, and D are all prices for backpacks that Michael would buy.

The teacher of a seventh-grade class flipped a coin 100 times. The students recorded the results in the table shown below:

Side of Coin Landed On Heads Tails
Number of Flips 52 48

Which of the following best describes the experimental probability of getting tails?

A) The experimental probability is 2% lower than the theoretical probability.

B) The experimental probability is the same as the theoretical probability.

C)The experimental probability is 2% higher than the theoretical probability.

D)The experimental probability cannot be concluded using the data in the table.

Answers

Answer:

A) The experimental probability is 2% lower than the theoretical probability.

Step-by-step explanation:

Answer:

The answer would be A.

Step-by-step explanation:

What is the equivalent fraction?

Drag the answer into the box to match the decimal.

0.7¯

Answers

70 over 100 I belive would be the right answer

The equivalent fraction of 0.7 is 7/9.

What is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

The decimal 0.7¯ (0.7777...) represents a repeating decimal in which the digit 7 repeats infinitely. To convert this to a fraction, we can use the following steps:

Let x = 0.7¯

Multiply both sides by 10 to move the decimal point one place to the right:

10x = 7.7¯

Subtract the left-hand sides of the first and second equations, and the right-hand sides of the first and second equations, to get:

10x - x = 7.7¯ - 0.7¯

Simplify both sides:

9x = 7

Divide both sides by 9:

x = 7/9

Therefore, the equivalent fraction for 0.7¯ is 7/9.

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Karina bought a camera with the regular price of $99. It was on sale at a 20% discount. There was a 7% tax on the sale price. How much did Karina spend to buy the camera? PLEASE SHOW YOUR WORK

Answers

Multiply 99 by 20%.
Convert 20% to a decimal ⇒ 0.2

99 × 0.2 = 19.8

Subtract 19.8 from 99.
99 - 19.8 = 79.2

Now multiply 79.2 by 7%.
7% ⇒ 0.07
79.2 × 0.07 = 5.544

Add 5.544 to 79.2.
5.544 + 79.2 = 84.744

Round to the hundredths place because it's money :)
84.744 ⇒ 84.74

Karina spent $84.74 to buy the camera.

a pool is in shape of a rectangular prism. on monday water was pumped out of the pool at a constant rate starting at 12:00 pm to 12:15 pm the water in pool was 45 inches deep. at 12:35 pm the water in the pool was 41 inches deep by how many inches does the depth of the water decrease each minute ?

Answers

From 12:15 to 12:35, 20 minutes have passed. 4 inches of water have drained in this 20 minutes.

4 inches in 20 minutes equals 1/5 inch per minute.

1/5 inch is the amount of decrease per minute.

The depth of the water decreases by each minute will be 1 / 5 inches.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a pool is in the shape of a rectangular prism. on Monday water was pumped out of the pool at a constant rate starting at 12:00 pm to 12:15 pm the water in the pool was 45 inches deep. at 12:35 pm the water in the pool was 41 inches deep

From 12:15 to 12:35, 20 minutes passed. 4 inches of water have drained in these 20 minutes.

4 inches in 20 minutes = 4 / 20 =  1/5 inch per minute.

Therefore, the depth of the water decreases by each minute will be 1 / 5 inches.

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A random sample (Sample 1) of the cars' average driving speed (km/h) is: 120, 132, 142, 119, 112, 130, 149, 111, 167, 139, 141. A random sample (Sample 2) of the SUVs' average driving speed (km/h) is: 112, 135, 124, 115, 119, 90, 112, 134, 113, 114, 115. What is the median of Sample 1? What is the median of Sample 2?

Answers

sample 1 is 132
sample 2 is 115

Please help as soon as possible

Answers

EQUATION 1: x-y=12
EQUATION 2: 3x+y=4

STEP 1:
solve for one variable in equation 1

x - y= 12
add y to both sides

x= 12 + y


STEP 2:
use x value from step 1 and substitute in equation 2

3x + y= 4

3(12 + y) + y= 4
multiply 3 by parentheses

(3*12) + (3*y) + y= 4
multiply inside parentheses

36 + 3y + y= 4
combine like terms

36 + 4y= 4
subtract 36 from both sides

4y= -32
divide both sides by 4

y= -8


STEP 3:
substitute y value from step 2 into either equation

x - y= 12
x - (-8)= 12
x + 8= 12
subtract 8 from both sides
x= 4


CHECK:
x= 4, y= -8

3x + y= 4
3(4) + (-8)= 4
12 - 8= 4
4= 4


ANSWER: The x value is 4 and the y value is -8.

Hope this helps! :)

Lizzie played tennis for 2 2/3 hours. Andrew played tennis for 1 1/3 hours. How much longer did Lizzie play tennis than Andrew?

Answers

Andrew played for 1 hour and 20 minutes
Lizzie played for 2 hours and 40 minutes
Andrew played for half as long as Lizzie did, so Lizzie played for 1 1/3 hours longer than Andrew did. Hope this helps!
You have to subtract Andrew's playing time from Lizzie's:

[tex]2 \frac{2}{3} -1 \frac{1}{3} [/tex]

For simpler subtraction, we can convert the mixed numbers into improper fractions:

[tex]\frac{8}{3} -\frac{4}{3} = \frac{4}{3}= 1\frac{1}{3} [/tex]

Lizzie played tennis [tex]1\frac{1}{3}[/tex] hours, or 1 hour and 20 minutes, longer than Andrew.

A square has a perimeter of 760 feet, what is the length of each side?

Answers

It’s a square:

-4 sides
- All sides are equal

760/4=

190.

Each side has a length of 190 feet
Each side has a length of 190 feet!!

Hope this helps :D!!

Need help on this please

Answers

The answer to this question is D. I hope this helps
Just subtract the new value by the original. 407.13 - 356.72  = 50.41

So "C"

Find the total surface area of a triangular pyramid if the perimeter is 30 feet, the slant height is 12 and the base is 43.5ft

Answers

I think just calculate 43.5+0.5×30×12.... Hope that helpssssss:))) you should know the equation for regualar pyramid.

Marty is spending money at the average rate of $3 per day. After 14 days he has $68 left.

a) Write the equation to model this situation, where x is the number of days.

b) Use the equation to determine how much money Marty had two weeks ago.

c) Use the equation to determine when Marty will run out of money if he continues to spend at this rate.

Answers

Spent a day = $3
After 14 days = $68 left

a) x = 3
14x = - 68
14x + 68 = 0

b) 14(3) + 68 = $120

c) total money = y
y - 14x = 120
y = 14(3) + 120
y = 172

172 - 3n = 0
3n = 172
n = 57 days and 8 hours

Sorry If I am wrong,but I've tried my best to give you the solution..

a)  equation to model this situation can be

14x + 68 = 0

b) so, the money he had before two weeks are

14(3) + 68 = $120

c) equation to determine when Marty will run out of money if he continues to spend at this rate is 57 days and 8 hours.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

Spent per day = $3

After 14 days = $68 left

a)  equation to model this situation can be

14x + 68 = 0

b) so, the money he had before two weeks are

14(3) + 68 = $120

c) equation to determine when Marty will run out of money if he continues to spend at this rate.

let the total money be a

a - 14x = 120

a = 14(3) + 120

a = 172

So, if m is the number of days

172 - 3m = 0

3m= 172

m = 57 days and 8 hours

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Which of the following statements describes this sequence 1, 3, 9, 27

I this is an arithmetic sequence

II The common ratio for this sequence is 3

III the next term in the sequence is 54

IV The sequence can be described by the expression n+3

I and IV

I,II, and III

II

Answers

Final answer:

The given sequence is a geometric sequence with a common ratio of 3. The next term of the sequence is 81, not 54. The sequence cannot be described by the expression n+3 or as an arithmetic sequence.

Explanation:

The sequence given is 1, 3, 9, 27, which is a sequence where each term is a multiple of the previous term. This type of sequence is called a geometric sequence. In this particular sequence, it is clear that every term is being multiplied by 3 to obtain the next term. Hence, the common ratio for this sequence is indeed 3 (Statement II).

This sequence is not an arithmetic sequence (Statement I is false) because the difference between successive terms is not constant. Furthermore, the sequence can't be described by the expression n+3 (Statement IV is false) because the sequence doesn't increment by adding 3 to each term; instead, it increments by multiplying the previous term by 3. Lastly, the next term in the sequence is not 54 (Statement III is false). It is 81 because you multiply the previous term (27) by the common ratio (3) to get 81.

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A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the circumference of the circle in meters?

Answers

69.12 meters is the circumference of that circle.

Answer:

It's 69.08

Step-by-step explanation:

A line has a slope of - 3/5. Which ordered pairs could be points on a line that is perpendicular to this line? Check all that apply.
(–8, 8) and (2, 2)
(–5, –1) and (0, 2)
(–3, 6) and (6, –9)
(–2, 1) and (3, –2)
(0, 2) and (5, 5)

Answers

It's (-8,8) and (2,2)

     (-2,1) and (3,-2)

Answer:

(–3, 6) and (6, –9) and  (0, 2) and (5, 5)

Step-by-step explanation:

Given : Slope = [tex]\frac{-3}{5}[/tex].

To find: Which ordered pairs could be points on a line that is perpendicular to this line.

Solution : We have given that  Slope = [tex]\frac{-3}{5}[/tex].

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1}}[/tex].

For (–8, 8) and (2, 2)

Slope = [tex]\frac{2- 8 }{2 + 8}[/tex].

Slope = [tex]\frac{-6 }{10}[/tex].

Slope = [tex]\frac{-3 }{5}[/tex].

For (–5, –1) and (0, 2).

Slope = [tex]\frac{2+1 }{0 + 5}[/tex].

Slope = [tex]\frac{3 }{5}[/tex].

For, (–3, 6) and (6, –9)

Slope = [tex]\frac{-9- 6}{6 + 3}[/tex].

Slope = [tex]\frac{-15 }{9}[/tex].

Slope = [tex]\frac{-5}{3}[/tex].

For (–2, 1) and (3, –2)

Slope = [tex]\frac{-2 -1 }{3 +2}[/tex].

Slope  = [tex]\frac{-3 }{5}[/tex].

For (0, 2) and (5, 5)

Slope = [tex]\frac{5 -2 }{5 -0}[/tex].

Slope =  [tex]\frac{3 }{5}[/tex].

Therefore,  (–3, 6) and (6, –9) and  (0, 2) and (5, 5)

g={(-9,6),(-6,4),(2,-6),(6,-5)}
h(x)=3x-4
find the following
g^-1(-6)=
h^-1(x)=
(h^-1·h)(3)=

Answers

a) The ordered pair with -6 as the dependent value is (2, -6).
  g^-1(-6) = 2


b) Swap x and y and solve for y.
  x = 3y -4
  x +4 = 3y
  (x +4)/3 = y
Then the inverse function can be written as
  h^-1(x) = (x +4)/3


c) You have shown the product of h^-1(x) and h(x). We have to assume that is what you intend.
  h^-1(3) = (3 +4)/3 = 7/3
  h(3) = 3×3 -4 = 5
  (h^-1·h)(3) = h^-1(3)·h(3) = (7/3)·5
  (h^-1·h)(3) = 35/3

If you intend (h^-1◦h)(3), that value is 3.

Which expressions result in a rational number?

Answers

The ones that give a rational number answer are:
C+D
A*B
C*D
A*A

A+B does not give a rational number answer; √3+2√3 = 3√3
C+D is a rational number; √25=5 and √16=4; 5+4=9.
A+D is not a rational number; √3+√16 = √3+4
A*B is a rational number; √3*2√3 = 2√9 = 2*3 = 6
B*D is not a rational number; 2√3*√16 = 2√3*4 = 8√3
C*D is a rational number; √25*√16 = 5*4 = 20
A*A is a rational number; √3*√3 = √9 = 3
Final answer:

Rational numbers are those that can be expressed as a fraction of two integers. Examples of expressions that result in rational numbers include simple calculations or operations that result in whole numbers or decimal numbers that can be written as a fraction.

Explanation:

In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator not being zero. If an expression results in such a number, then it is considered a rational number.

Let's consider some examples from the given information:

106 (6-3): This equates to 10^3 which will result in the number 1000, a rational number as it can be expressed as 1000/1. 4.5 × 10⁹: The result of this multiplication also gives a rational number as it can be written in a fraction form. 0.3333: This number is also rational as we can write it as 3333/10000. 0.6: This can be written as 6/10 or 3/5, so it's also a rational number.

However, numbers resulting from certain trigonometric functions like sine and cosine, logarithms, or exponential functions may not always be rational. These functions require pure numbers as inputs and outputs.

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Mr. carlucci brought 8 3/4 pounds pepperoni for large sandwiches. He cut the pepperoni into 1/12 pound slices. A skateboarder bumped into his table and 2 7/12 pound of the pepperoni fell on the ground and was eaten by 3 dogs. Does mr. carlucci have enough pepperoni left to make 74 sandwiches if he puts one slice on each sandwich? By how much is he over or under the amount of pepperoni he needs?

Answers

Divide 8 3/4 by 1/12.
First make 8 3/4 into a improper fraction ⇒ 35/4.

35/4 ÷ 1/12 ⇒ 35/4 × 12/1 = 105
Mr. Carlucci has 105 pieces of pepperoni.

Now subtract 2 7/12 from 105.
105 - 2 7/12 ⇒ 105 - 31/12 ⇒ 1260/12 = 31/12 
1260/12 = 31/12 = 1229/12
1229/12 = ~102

Mr. Carlucci has enough pepperoni to make 74 sandwiches. He is over the amount of pepperoni he needs by 28 slices.

What is 50,935 divided by 5?

Answers

50935 divided 5 = 10,187
50935 divided by 5 is 10187

if the circumference of the base=126 cm and h=10 cm, find the volume

Answers

The formula for the volume of a cylinder (I'm assuming this is a cylinder) is
V=Pi*r^2*h

You know the circumference which is 126
Circumference C=2*Pi*r, so you can determine r
126=2*Pi*r
r=20.05cm

Now go back and substitute your numbers in the original equation:
V=Pi*r^2*h
V=12633.72cm^3

Please need help on this

Answers

stock price decrease A and D Increase:B E remained the same c 
you are u on online school y 
 
 rate 5 stars plz
Hi, 
The letter E would be for stock increasing
Letter D for Stock decreasing 
and Letter C for it remaining constant 

Hope this helped!!

a right triangle has a legs measuring 16 in and 28 in
What is the length of the hypotenuse?
Round your answer to the nearest tenth.
a. 23.0 in.
b. 32.2 in.
c. 44.0 in.
d. 1040.0 in.
URGENT
WILL MARK BRAINLEIST

Answers

Hoi!

To solve this, let's use apply the Pythagorean Theorem.

Formula: [tex]a^2 + b^2 = c^2[/tex]

For a and b, we would plug in the values for the two known legs.

[tex]16^2 + 28^2 = c^2[/tex]

[tex]16^2 = 256 28^2 = 784 256 + 784 = 1,040[/tex]

Now we take the square root of 1,040

[tex] \sqrt{1,040} = 32.2[/tex]

Your answer is 32.2 :)
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Esa casa es pequea.CorrectIncorrect Write the related series for the finite sequence 7, 10, 13, . . ., 22. then find the sum.7 + (10) + (13) + (16) + (19) + (22) = 87 7 + (10) + (13) + (15) + (18) + (22) = 85 7 + (10) + (13) + (14) + (18) + (22) = 84 7 + (10) + (13) + (17) + (20) + (22) = 89 For a function p(x)= x^2-9, what is the inverse function for the domain [0, infinity\ Parents who wish to lessen their children's potential for violence must foster human resources that promote sharing and reduce impulsivity. Which linear expression is a factor of the polynomial function f(x) = x3 + 2x2 x 2? x 2 x + 2 x + 3 x 3 A culture started with 3,000 bacteria. After 7 hours, it grew to 3,300 bacteria. Predict how many bacteria will be present after 17 hours. Round your answer to the nearest whole number. P=Ae^kt Answer:3,780 Which two lakes are they? Sodium hypochlorite, naocl, is household bleach. it removes stains from clothing through a redox reaction in which the stain molecules are oxidized. sodium hypochlorite acts as a(n) What were the success and failures of the Jefferson administration Why do plant cell possess large size vacuole? anaerobic exercise dose not requrie the body to use any extra oxygen true of false Georgie needs to paint the wall with a fixing mixture.She mixes glue and water in the ratio 3:1 to make the mixture.Georgie needs 5 litres of the mixture.She has 3.5 litres of glue. Does Georgie have enough glue to make 5 litres of the mixture? Which story topic would most likely be explored in green literature? The legislature in the state of texas does a great deal of its work in committees, so much so that these committees are often referred to as "little legislatures." committee types in the house include substantive, procedural, and select committees. senate committees are designated as either or special interim committees. in addition to different types of committees in both the texas house and the texas state senate, some committees combine membership from both chambers. Volume and Surface AreaMath help 100 points How do find the measure of side a? Which one of the following choices will not destabilize a proteins shape? A. Cold temperatures B. Changes in acidity C. Changes in alkalinity D. Oxidation What does it mean if you have a line in your tooth? QUESTION 61.The small, nimble ship developed during this era was theA.CaravelB.JunkC.Snekke Viking WarshipD.MerchantE.None of the aboveQUESTION 71.When he landed in the Americas in 1492, Christopher Columbus claimed the new land for which European kingdom?A.SpainB.PortugalC.EnglandD.FranceE.None of the AboveQUESTION 81.The term westernization is defined asA.The spread of European cultural influenceB.The incorporation of European ideas and technologyC.The adoption of European values within societyD.None of the AboveE.All of the AboveQUESTION 91.European monarchs claimed their right to rule rested in the belief ofA.Divine RightB.BirthrightC.Mandate of HeavenD.Divine interventionE.None of the AboveQUESTION 101.The phrase Letat, cest moi was made famous by this European Monarch:A.King Louis XB.King Louis XIIC.King Louis XIVD.King Louis XVIE.None of the AboveQUESTION 111.This gunpowder empire was a dominant force in the crossroads of Europe and Asia:A.IranB.IraqC.The OttomansD.The EgyptiansE.None of the Above1.The power and expansion of the Russian Empire depended on the rule of the monarchs of the country also known as:A.The CesaersB.The HabsburgsC.The SafavidsD.The CzarsE.None of the AboveQUESTION 131.The strong, military rulers in Japan who helped centralize control were known as:A.The emperorsB.The TokugawaC.The MingD.The ShogunsE.None of the AboveQUESTION 141.The Commercial Revolution was known for which of the following:A.The exploitation of overseas resources and marketsB.The rise of capitalismC.An increase in European wealth and dominanceD.None of the AboveE.All of the AboveQUESTION 151.The Spanish conquests in the Americas was due in large part to these representatives of the empireA.The CrusadersB.The ConquistadorsC.The MatadorsD.The IlluminatiE.None of the AboveF.All of the AboveQUESTION 161.The Columbian Exchange linked America and Europe through which of the following:A.FoodB.LivestockC.PeopleD.IdeasE.None of the AboveF.All of the AboveQUESTION 171.The central corridor connecting Europe and Asia was ruled by this empire from the 1300s to 1900. A.Mughal EmpireB.Tokugawa EmpireC.Ottoman EmpireD.Austro-Hungarian EmpireE.The Safavid EmpireF.None of the Above At the sandwich shop, there are four different types of meat and three different types of cheese. If you select a sandwich without looking, what is the probability that it has your favorite type of meat on it?give answer as a fraction