solve each equation for 0≤x≤360
cos(x+45°)+cos(x-45°)= √2

Answer:

I belive that choice A would be the best answer!

Step-by-step explanation:

Answer:

64 cm^2

Step-by-step explanation:

Area of Shaded Region = Area of Parallelogram - Area of Rectangle

Area of Parallelogram = 10 * 7 = 70

Area of Rectangle = 2 * 3 = 6

70 - 6 = 64 cm^2

Answer:

The area of the sector is [tex]12.8\pi\ units^2[/tex]

Step-by-step explanation:

we know that

The area of a complete circle (16π units^2) subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector , if the central angle is equal to 8π/5 radians

[tex]\frac{16\pi}{2\pi}=\frac{x}{(8\pi/5)}\\\\x=8(8\pi/5)\\\\x= 12.8\pi\ units^2[/tex]

Answer: 12.8pie

Step-by-step explanation:

It would be 925 inches cubed.

To find the volume, know that to find the volume of any rectangular prism (which is what this is) is to do Length * Width * Height to get the volume.

By doing, 18.5 * 12.5 * 4, you'll get your answer.

18.5 * 12.5 * 4 ---> 925

Remember to make in the unit of inches (because that's the unit it was asked in) and to write cubed at the end (since you are finding the area of a 3d object).

flour: 60

milk: 2.5

i calculated i hope its the right Answer

Answer: 12 i believe sorry if im wrong

Answer: 12x/20

Step-by-step explanation:

Looking at 3x/5

The expression equivalent is 12x/20

The reason is this

12x/20

If you divide the 12x by 4

It will give you 3x

If you divide 20 by 4

It will give you 5

Therefore, you will still have 3x/5

Another way to look at it is this

3x/5= 0.6x

12x/20= 0.6x

Therefore, the final answer is b which is 12x/20

Answer:

4(-5a + 3b - 2)

Step-by-step explanation:

Aside from changing the order of the terms so that the "a" term comes first and the "b" term second, there's nothing you can do with this expression -20a -8 + 12b.  But notice that 4 is a factor common to all three terms, and therefore it can be factored out:

Rearranging the terms, we get

-20a + 12b - 8  =  4(-5a + 3b - 2)

Answer:

The answer is -4(5a+2-3b)

Step-by-step explanation:

Find the GCF and then multiply

Answer:

P(sum 2)=1/6

P(sum 3)=1/3

P(sum 4)=1/3

P(sum 5)=1/6

Step-by-step explanation:

[tex]\left|\begin{array}{c|ccc}&1&2&3\\---&---&---&----\\1&2&3&4\\2&3&4&5\end{array}\right|[/tex]

On the table, there are a  a total of 6 outcomes.

Therefore:

P(sum 2)=1/6

P(sum 3)=2/6=1/3

P(sum 4)=2/6=1/3

P(sum 5)=1/6

Answer:

7

Step-by-step explanation:

2x+34=4(x+5)

2x+34=4x+20

-2x=-14

x=7

Answer:

x=7

Step-by-step explanation:

Answer:

26.

Step-by-step explanation:

Hope this helps!

The subtraction of 10/8 - 4/8 is similar to 10-4 only in the general subtraction process, but they differ in the types of numbers used (fractions vs. whole numbers) and the results generated (a fraction vs. a whole number).

The process of subtracting 10/8 - 4/8 is similar to subtracting 10-4 because in both cases, you are subtracting one number from another (~subtraction process~). However, they are different in terms of the kind of numbers used for subtraction. In the first operation, we are subtracting fractions while in the second operation, we are subtracting whole numbers.

To elaborate, in 10/8 - 4/8, they have the same denominators (8), so it's straightforward to subtract the numerators (numbers on top of the fraction): 10 - 4 = 6. So, the result is 6/8, which simplifies to 3/4.

In 10 - 4, the operation is simpler because we are working with whole numbers. By subtracting 4 from 10, we get 6 as the result. So, the results of the operations bear another difference, one yields a fraction, the other yields a whole number.

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Answer:

Red : 5/12

Blue : 1/3

Green: 1/6

Yellow : 1/12

Step-by-step explanation:

5 red marbles + 4 blue marbles + 2 green marbles + 1 yellow marble = 12 total marbles

5 red marbles / 12 total marbles = 5/12

4 blue marbles / 12 total marbles = 4/12 = 1/3

2 green marbles / 12 total marbles = 2/12 = 1/6

1 yellow  marbles / 12 total marbles = 1/12

The answer is of option D.

Hope this will help u...:)

The formula 2(7x+3) can be translated into 14x +6 using the distributive property of multiplication over addition (Option B).

The expression 2(7x+3) is equivalent to the expression 14x+6. Such mathematical expressions are related to the concepts of algebra, specifically, the distributive property of multiplication over addition. This property allows the distribution of 2 over the terms inside the parentheses, 7x and 3 in this case. When we multiply 2 by 7, we get a result of 14, and when we multiply it by 3, we get a result of 6. So, option B: 14x + 6 is the correct response to this question.

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Answer:

A bill

Step-by-step explanation:

A bill becomes a law. Search up a bill becomes a law schoolhouse rock.

Answer:

12%

Step-by-step explanation:

First put it into a fraction 24/200

Half it to make it to 100%

12/100=100%

Final answer:

To find the percentage of Cedric's songs that are Indie songs, divide the number of Indie songs by the total number of songs and multiply by 100%. The percentage of Indie songs is 12%.

Explanation:

To find the percentage of Cedric's songs that are Indie songs, we need to divide the number of Indie songs by the total number of songs and then multiply by 100.

So, the percentage of Indie songs is calculated as:

Percentage of Indie songs = (Number of Indie songs / Total number of songs) * 100% = (24 / 200) * 100% = 12%.

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The common ratio = 75/375 = 1/5

So the next term = 15* 1/5= 3

Answer:

D. -2/3

Step-by-step explanation:

Since it is going down, it is negative

Think of this: Rise/Run

In this case, rise is when you are going up or down the graph

Run is when you are going to the right of the graph

Let's use 2 points (0,3) and (3,1)

Since you are going three points to the right we are going to put 3 in for run

You are going 2 places down, so we are going put -2 in for rise

This gives us -2/3

Another way to do this is (1-3)/(3-0) = -2/3

Answer: 3

Step-by-step explanation:

Y=|x-3|+|x+2|-|x-5|

X is given as 3

Substitute for x=3

Y=|3-3|+|3-2|-|3-5|

Y=0+1-(-2)

Y=0+1+2

Y=3

Answer:

Step-by-step explanation:

y=|3-3|+|3+2|-|3-5|

=0+5-2

=3

Answer:

5 units long because when you have a translation the length, size and shape of the segment doesn't change it's just moved over on the coordinate plane.

Answer:

28

Step-by-step explanation:

Answer:

[tex]y = 3000 - 18x[/tex]

3000 goes into the green box.

Answer:

∠GFE ≅ ∠GHJ

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡⊕

Answer:

C. 17.156

Step-by-step explanation:

Im sure the answer is C.) 17.156

Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number...

Hope I helped!!!

Good luck deary... <3

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡⊕

Step-by-step explanation:

Simplify: [(8)^2/3]^4

(a) 8^8/3

(b) 8^6/3

(c) 8^6/12

Solution:

[(8)^2/3]^4

use the rules of exponents to simplify the expression.

=> [(8)^2/3]^4

To raise a power to another power multiply the exponents.

=> (8)^2/3 × 4

Multiply 2/3 times 4.

=> (8)^8/3

Option (c) (8)^8/3 is your correct answer.

Given,

[(8)^2/3]^4

=> [(8^3)^2/3]^4

=> [(2)^3×2/3]^4

=> [(2)^2]^4

=> (2)^2×4

=> (2)^8

=> 2^8

=> 2×2×2×2×2×2×2×2

=> 256 Ans.

Hope this helps!!

Answer:

x= −b^2a

Step-by-step explanation:

However, if this question is asking WHAT IS the axis of symmetry, then it would be 3

Answer:

x=[tex]-b^{2a}[/tex]

Step-by-step explanation:

Answer:

C) 100 m^2

Step-by-step explanation:

Area of a trapezoid= h*[(b1+b2)/2]

h=10

b1=8

b2=12

Therefore:

A=10*[(8+12)/2]

A=10*(20/2)

A=10*10

A=100

So the area of the trapezoid is 100 m^2

Answer:

1. 71

2. 142

3. 30

4. 30

5. 16

6. 18