what is the measure of

Answer :

3/4.

Explanation

Find the GCD (or HCF) of numerator and denominator

GCD of 45 and 60 is 15

Divide both the numerator and denominator by the GCD

45 ÷ 15

60 ÷ 15

Reduced fraction: 3/4

Therefore, 45/60 simplified to lowest terms is 3/4.

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In order to simplify this ratio (and 45:60 is a ratio), we should divide both sides of the ratio by 5 (because both 45 and 60 are evenly divisible by 5)

Divide:

9:12

Is the ratio in its simplest form? No.

Why?

Because 9 and 12 can be divided by 3:

3:4

Now the ratio IS in its simplest form.

Hence, the answer is

[tex]\boxed{\boxed{\bold{3:4}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

Answer:

80 total students

Step-by-step explanation:

hope this helps!

Answer:

80

Step-by-step explanation:

If 16 is %20 then it represents 1/5 of the class. Multiply 16 x 5 = 80

Answer:

Pythagoras's Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. Actually a 30 , 40 , 50 triangle is just a scaled up 3 , 4 , 5 triangle, which is a well known right angled triangle

Step-by-step explanation:

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Answer:

1: 23

2: 15/3 which reduces to 5

3:  12/4 which reduces to 3

Step-by-step explanation:

used a calculator

Answer:

  800 cm³

Step-by-step explanation:

The volume is the product of the base area and the "height" of the prism. Here, the base can be considered to be a 10 cm × 12 cm rectangle with a 4 cm × 5 cm cutout. Its area will be ...

  A = (10 cm)(12 cm) -(4 cm)(5 cm) = 120 cm² -20 cm² = 100 cm²

The product of this base area and the 8 cm height of the prism is ...

  V = Bh = (100 cm²)(8 cm) = 800 cm³

The volume of the prism is 800 cm³.

Answer:

40%

Step-by-step explanation:

assuming you actually mean 10^5 and 10^6, to find percentages you do

part/total x percent/100

you have (6x10^5/1.5x10^6) x (x/100)

cross multiply, and you have 6x10^7=1.5x10^6x

divide on both sides by 1.5x10^6

x=40

so the answer is 40%

Solution:

Note that:

Finding the leg of a square with area of 369 units²

Finding the leg of a square with area of 81 units²

Finding side length a using Pythagoras theorem

Finding the missing area of the square.

Option D is correct.

Answer:

1/13

Step-by-step explanation:

Probability of Sarah drawing a letter in her name

= number of letters in her name: S, A, R and H / total number of letters

= 4/26

Probability of drawing an odd number

= odd numbers / total numbers

= 5/10

Combining the above, Probability of her drawing a letter in her name and an odd number = 4/26 * 5/10

= 1/13

Total Alphabetical cards Sarah has ⇢ 26

Total Letters Sarah's name has ⇢ 4

Probability of getting a card with one of the letter in her name ⇢ 4/26

Total numerical Cards Sarah has ⇢ 10

Total odd numbers in those cards⇢5

Probability of getting a card with an odd number⇢ 5/10

probability of her drawing a letter in her name and an odd number⇢ 4/26 x 5/10 = 1/13

Answer: 227 degrees

Step-by-step explanation:

Step-by-step explanation:

yo question doesn't make sense.

Answer:

1/3

Step-by-step explanation:

The slope of a line represents the variation in height per variation in length.

In our case, for every square you move up, you have to move 3 horizontally. The slope is thus

m= (vertical change) / (horizontal change) = 1/3

Answer:

1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: (1,-2)

Step-by-step explanation:

Answer:

Sis 97,U is 30,Tis19,R is 21and m is 37

Answer:

73.12 in.²

Step-by-step explanation:

The entire area is made up of a semicircle and a rectangle. We find both areas and add them.

total area = area of semicircle + area of rectangle

total area = (1/2)πr² + length × width

total area = 1/2 × 3.14 × 4 in. × 4 in. + 8 in. × 6 in.

total area = 73.12 in.²

Answer:

8

Step-by-step explanation:

→ Find width of first painting

48 ÷ 6 = 8

→ Find length of second painting

64 ÷ 8 = 8

Answer:

The answer is

→ 9

Step-by-step explanation:

[tex]3+5+7-6=9[/tex]

Therefore, 9 is your answer.

Answer:

A.

1. x = -5

2. x = -1

3. x = -2

4. x = 25/9

5. x = 1

B.

1. x ≤ 2

2. - 3≤ x ≤ 6

3. x ≤ 2

4. x ≤ 33/2

5. x ≤ 17/3

Step-by-step explanation:

Brainliest me please I answer it!!

A.

1. 5x + 12=2x-3

2. 3x+6= -2x+1

3. (x/2-4x=7)x2

4. 1.4x - 0.4x=6.2+3.8

5. 5x-10+2x=7x+28-38

B.

1. 2x/2 ≤ 4/2

2. 2x+3 > -3

2x+3< 15

3. 5x-4 >6

4. (2x./3+1/2>x-5)x6

5. 0.8+0.6x ≥4.2

Answer:

8.94

Step-by-step explanation:

hypotenuse=h

h=4^2+8^2

h=16+64

h=80

h=√80

h=8.94

Answer:

Step-by-step explanation:

[tex]hypotenuse=\sqrt{4^2+8^2} =\sqrt{16+64} =\sqrt{80}\approx 8.94[/tex]

Answer:

no idea

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

28x^2yz and 16xy^2

GCF of 28 and 16: 4

GCF of x^2yz and xy^2: xy

The GCF is 4xy.

5x^2y^4, 10x^3y^5, and 15xy^2

GCF of 5, 10, and 15: 5

GCF of x^2y^4, x^3y^5, and xy^2: xy^2

The GCF is 5xy^2.

-hope it helps

Hi! Hope you're enjoying your day!

First of all, the G.C.F. stands for

Greatest Common Factor

So we need to find the Greatest Common Factor of the polynomials.

And yea, polynomials have Greatest Common Factors as well.

So, let's find all the Greatest Common Factors. :)

First, we have

[tex]\bold{28x^2yz}[/tex] and [tex]\bold{16xy^2}[/tex]

What are the common factors of these polynomials?

Well, there are plenty of them, like 2, 2x, y...

What is the Greatest Common factor?

Is it Option A, 12xy?

No, because neither 28 nor 16 is divisible by 12.

So we cross out Option A.

Is it Option B, 8xy?

No, because 28 isn't divisible by 8, and remember, if a number is evenly divisible by another number, then that number is a factor.

Example: 8 is a factor of 16 (16÷8=2); 8 is not a factor of 28, because

28÷8=3.5 (a decimal, not a whole number)

Is it Option C, 4xy?

Yeah, it seems like Option C is the right option.

[tex]\huge\checkmark[/tex]Both 28 and 16 are divisible by 4

[tex]\huge\checkmark[/tex]Both polynomials have an x and a y in them

[tex]\rule{250}{2}[/tex]

Find the GCF:

[tex]\bold{5x^2y^4,\:10x^3y^5, \:and\:15xy^2}[/tex]

Once again, is it Option A, 5x^3y^5?

No, because

✘ 5 and 10 aren't divisible by 3

✘ None of the 3 polynomials has a 3y term

In other words, Option A is wrong.

How about Option B?

You should see right off the bat that 5 and 15 aren't divisible by 10.

So now we have 2 options left.

Is it Option C, 5xy²?

Well,

✓All 3 polynomials are divisible by 5

✓ All 3 polynomials have a y² term

✓ All 3 polynomials have an x term.

Hence, the answers are

[tex]\boxed{\boxed{\bold{1. \;Option\;C; 2.\;Option\;C.}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{200}{2}[/tex]

Answer:

The quadratic function, f(x) has the greater value.

Step-by-step explanation:

The given function written to us is in standard form, meaning it is easy to graph this function.

Since this function is going to open down-ward, we start with negative numbers.

[tex]f(-1)=3\\[/tex]

Since 3 is a greater value than 2, which we can see is the maximum value of g(x) by viewing the graph, f(x) is greater.

Answer:

C

Step-by-step explanation:

100-31.99-19.89=48.12

Answer:

Step-by-step explanation:

its A :)

Answer= y=2x+6

The slope-intercept form of an equation of a line: y=mx+b

m - slope

b - y-intercept

We have the points (5, -4) and (-1, 8). Substitute:

m= [tex]\frac{8-(-4)}{-1-5}[/tex] =[tex]\frac{12}{-6}[/tex] =-2

Put the value of the slope and the coordinates of the point (5, -4) to the equation of a line,

-4=-2(5)+b

=-10+b

6=b

y=2x+6

Answer:

x=-2

x=2

Step-by-step explanation:

We can think of this equation like a statement

"4 times what squared minus sixteen is equal to zero"

First, we need to rearrange the equation:

[tex]4x^2=16[/tex]

Now using our common knowledge, we know that 4 times 4 is equal to 16

now we have another statement:

"x times x is going to be equal to 4"

*Remember that the two numbers have to be the same since x is squared*

Again, we can use common knowledge and say that 2x2 is equal to 4

This means that x=2

Now when you square a variable, the variable can have to values, a positive, and a negative value

So in this case, the other value for x would be x=-2 since -2 squared is also equal to 4

So we can come to a conclusion that

x=2

AND

x=-2

Answer:

Step-by-step explanation:

Answer:

y= 4x + 3

Step-by-step explanation:

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