An artist is creating a large butterfly sculpture outside a museum. There is a circular dot on each wing made out of metal ring. The distance around each dot is 24π inches. The artist plans to fill the inside of each dot with blue colored glasses. What is the area of the blue glass will be needed to fill each butterfly dot?

Answer:

The answer is 3

Step-by-step explanation:

5( 9/ 12  −  1/ 4 )+0.5

=5( 3/ 4  −  1/ 4 )+0.5

=5( 1/ 2 ) + 0.5

= 5/ 2  + 0.5

=3

∠CBA it's an inscribed angle.

An inscribed angle is an angle with its vertex "on" the circle, formed by two intersecting chords.

Inscribed Angle = 1/2 Intercepted Arc

Therefore

Answer:

See proof below

Step-by-step explanation:

Point O is the midpoint of segment AB. Through point O is drawn a line OX perpendicular to AB. Consider two triangles AOX and BOX. These triangles are right triangles, because OX is perpendicular to AB. In these triangles:

Thus, [tex]\triangle AOX\cong \triangle BOX[/tex] by LL theorem.

Congruent triangles have congruent corresponding sides, then AX=BX. This means that point X is equidistant from points A and B.

Answer:

Step-by-step explanation

You must find the common denominator for all of them.  

A is correct. 13 x 2 is 26 and 14 x 2 is 28. Therefore, 13/14 is greater than 25/28.

B is not correct. 4 x 5 is 20 and 9 x 5 is 45. 4/9 is actually less than 21/45.

C is not correct. 5 x 2 is 10 and 6 x 2 is 12. 5/6 is actually less than 11/12.

D is not correct. 4 x 5 is 20 and 5 x 5 is 25. 4/5 is actually less than 8/25.

Answer:

4

Step-by-step explanation:

A term no matter how long it is, is ended by some sort of sign. so 6 is a term 2x is a term -4y is a term and 5z is a term. The term could be 5xyz^6a^2bc^7 + 2, and there are only 2 terms.

Answer:

4

Step-by-step explanation:

There are 4 terms in the expression.  Terms are separated by the addition or subtraction sign.

Answer:

5

Step-by-step explanation:

Steps:

1. 4 + 1 make five

2. 5 is divisible by five!!

Answer:

144

Step-by-step explanation:

Perfect square formula: a^2 - 2ab + b^2 (because that equals (a-b)^2)

x^2-2*12x+c

a = 1

b = 12

12^2 = 144

Answer:

The value of [tex]c =144[/tex] makes [tex]x^{2}-24x+c[/tex] perfect square.

Step-by-step explanation:

We have to make [tex]x^{2}-24x+c[/tex]

Since, Perfect square formula: [tex]a^{2} - 2ab + b^{2}=(a-b)^{2}[/tex]

Re-write [tex]x^{2}-24x+c[/tex] as,

[tex]x^{2}-2\times 12x+c[/tex]

Compare above with [tex]a^{2} - 2ab + b^{2}[/tex]

Where a = x  and b= 12

so, [tex]b=12[/tex]

⇒ [tex]c =12^{2}=144[/tex]

Hence, [tex](a-b)^{2}=(x-12)^{2}[/tex]

Therefore, the value of [tex]c =144[/tex] makes [tex]x^{2}-24x+c[/tex] perfect square.

The range of f(x) = x + 5 is the set {0, 10}.

Therefore

x + 5 = 0 and x + 5 = 10

x = -5 and x = 5

Answer:

the slope is 1

Step-by-step explanation:

Answer:

The slope is -1/2

Step-by-step explanation:

x + 2y=4

Lets get the equation in the form y= mx+b

where m is the slope and b is the y intercept.

x + 2y=4

Subtract x from each side

x-x+2y = -x+4

2y = -x+4

Divide each side by 2

2y/2 = -1/2 x +4/2

y = -1/2x +2

The slope is -1/2

Answer:

Step-by-step explanation:

so multiply 7.9 * 8.6 which will give you 67.94

Answer:

The area is 67.94m.

Answer:

(B) Revenue account which increases

Step-by-step explanation:

Hello, my dear friend, I am sure the question you are intending should be corrected as follows:

In transaction (C) on 5/10, the Fees Earned account is a(n) A. Expense account, which increases B. Revenue account, which increases C. Revenue account, which decreases D. Asset account, which decreases

If that is the case, then please note that whatever amount you earn, is an amount that will always increase. If you have no earnings, then nothing decreases nor decreases.

The Fees Earned account is a type of revenue account that increases when the company earns more fees. Therefore, option B (revenue account, which increases) is correct.

In transaction (C) on 5/10, the Fees Earned account is usually classified as a revenue account. Therefore, when a company earns fees, it records the transaction as an increase in the fees earned account. The more fees the company earns, the higher the balance in this account, representing the income the company has made. So, if the Fees Earned account is increasing in value, it would be correct to say that it is a revenue account, which increases. This makes option B the correct answer.

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Answer:

635 pounds hope you do good :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I would say probably 695E.The reason why I said that answer is because 30*2 equals 60.Then it took a additional 12 minutes and I know that 12*5 equals 60 so I divided 30 by 5.I got 6 and added it to 60 which got me 66.Then I multiplied that by 10.After that I just added the 35 to it.

Answer:

the solution is (3,4) (the second one)

Step-by-step explanation:

The correct graph is attached to the answer.

The amount of fruit syrup Rex added is: 3 liters

and the amount of water he added is: 4 liters.

x denote the amount of fruit syrup added and y denote the amount of water added.

It is given that:

Three times the number of liters of water he mixed was 6 more than twice the number of liters of syrup he mixed.

i.e. the equation that satisfies this condition is:

         [tex]3y=2x+6\\\\i.e.\\\\2x-3y=-6-----------(1)[/tex]

i.e. the graph of this equation is a line that passes through (-3,0) and (0,2)

Also, The total number of liters of syrup and water he mixed was 7 liters.

Hence, the equation is:

                       [tex]x+y=7------------(2)[/tex]

i.e. the graph of this equality is a line that passes through (7,0) and (0,7)

Also, from equation (2) we have:

[tex]x=7-y[/tex]

Now, on putting this value of x in terms of y in equation (1) we get:

[tex]2(7-y)-3y=-6\\\\i.e.\\\\14-2y-3y=-6\\\\i.e.\\\\14-5y=-6\\\\i.e.\\\\14+6=5y\\\\i.e.\\\\5y=20\\\\i.e.\\\\y=4[/tex]

Also, on putting the value of y in equation (2) we get:

[tex]x=3[/tex]

Hence, the solution to the system of linear equation is:

                 (3,4)

Answer:

-720

Step-by-step explanation:

2910 is obviously bigger than 2190 so your answer will result in a negative so what you could do is 2910-2190 which is 720 and add a negative in front of it.

Answer:He can increase the number of trials.

Step-by-step explanation:

He can increase the number of trials.

He can decrease the number of trials.

He can increase the number of sides on the die.

He can decrease the number of sides on the die.

Answer:

increase the number of trials

Step-by-step explanation:

hope this helped;) <3

Answer: z < 4

z+4 > 2z

z+4-z > 2z-z ..... Subtract z from both sides

4 > z

z < 4

So the solution set for z is any number that is less than 4, which could be something like z = 2 or z = 3.

Answer:

all sides are 7 units

Step-by-step explanation:

Since the triangle is equilateral then all 3 sides are equal in length

equate any 2 sides and solve for d

KL = LM

d + 2 = 12 - d ( add d to both sides )

2d + 2 = 12 ( subtract 2 from both sides )

2d = 10 ( divide both sides by 2 )

d = 5

KL = d + 2 = 5 + 2 = 7

LM = 12 - d = 12 - 5 = 7

KM = 4d - 13 = (4 × 5) - 13 = 20 - 13 = 7

Answer:

0

Step-by-step explanation:

The only value I can see that won't work is a = 0. That value gives you 0 over 0 which has no definite answer at this level. It is best to call such a thing undefined or not permitted.

Answer:

yes, fractions are like 1/2 or 3/6 but a whole number is not a part or a fraction such as 124.

Step-by-step explanation:

Answer:

124  is a whole number

Step-by-step explanation:

The whole numbers are the numbers 0, 1, 2, 3,  etc.

124  is a whole number

The 3 foot stick broken in a 5:7 ratio results in two pieces measuring 1.25 feet and 1.75 feet, respectively.

The question involves a 3 foot stick that is broken into two pieces with a ratio of 5:7.

To find the lengths of the two pieces, we first add the parts of the ratio together, which gives us 12 parts in total.

Since the whole stick is 3 feet long, each part of the ratio represents \(\frac{3 feet}{12 parts}\) or \(\frac{1}{4} foot\) per part.

Thus, the length of the smaller piece is 5 parts (\(5 \times \frac{1}{4} = \frac{5}{4} feet\) or 1.25 feet) and the length of the larger piece is 7 parts (\(7 \times \frac{1}{4} = \frac{7}{4} feet\) or 1.75 feet).

Final answer:

To find the length of X, we can use the concept of corresponding sides in similar figures. By establishing the ratio between corresponding sides AB and PQ, we can find the length of X. The length of X is found to be 2 units.

Explanation:

In order to find the length of X in the similar quadrilaterals ABBCD and PQRS, we need to find the corresponding sides that are proportional to each other. Let's say AB represents a side of ABBCD and PQ represents the corresponding side of PQRS. If AB is 6 units long and PQ is 3 units long, then the ratio of AB to PQ is 6:3, which simplifies to 2:1. Since the lengths of corresponding sides in similar figures are proportional, if AB has a length of 4 units, then PQ would have a length half of that, which is 2 units. Therefore, the length of X is 2 units.

Answer:

-$414 per month

Step-by-step explanation:

If the net income over three months is -1242

Take that amount and divide by 3

-1242/3

-414

Simplifying

2.1x + -1(1 + 4.2x) = 5.3

2.1x + (1 * -1 + 4.2x * -1) = 5.3

2.1x + (-1 + -4.2x) = 5.3

Reorder the terms:

-1 + 2.1x + -4.2x = 5.3

Combine like terms: 2.1x + -4.2x = -2.1x

-1 + -2.1x = 5.3

Solving

-1 + -2.1x = 5.3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + -2.1x = 5.3 + 1

Combine like terms: -1 + 1 = 0

0 + -2.1x = 5.3 + 1

-2.1x = 5.3 + 1

Combine like terms: 5.3 + 1 = 6.3

-2.1x = 6.3

Divide each side by '-2.1'.

x = -3

Simplifying

x = -3

Hope i was helpful!

The measures of the angles and side lengths are:

m∠ BED = 130°

m∠ BEA = 50°

x = 7

y = 16.4

BE ≈ 23

BC ≈ 34

8. m∠ BED

∠DEB and ∠BED are supplementary angles, so their measures add up to 180°.

Therefore, m∠BED = 180° - m∠DEB = 180° - 50° = 130°.

9. m∠ BEA

∠BEA and ∠DEB are vertical angles, so they have the same measure. Therefore, m∠BEA = m∠DEB = 50°.

10. x

We can use the fact that the sum of the angles in a triangle is 180° to find x.

In triangle ABE, we have ∠BAE + ∠ABE + ∠BEA = 180°.

Substituting the given values, we get (7x - 2)° + 80° + 50° = 180°.

Solving for x, we get 7x = 50, so x = 7.

11. y

We can use the fact that the measures of the angles in a triangle add up to 180° to find y.

In triangle BCE, we have ∠BCE + ∠BEC + ∠CEB = 180°.

We are given that ∠BCE = 20° (since ∠BDE = ∠BCE, and we found m∠BDE in part 8), and we can find ∠BEC using the fact that it is supplementary to ∠BEA (which we found in part 9).

Therefore, ∠BEC = 180° - 50° = 130°.

Substituting these values, we get 20° + 130° + ∠CEB = 180°.

Solving for ∠CEB, we get ∠CEB = 30°.

Now, we can use the fact that ∠CEB and ∠DEB are vertical angles to find that ∠DEB = 30°.

Finally, we can use the fact that the sum of the angles in a triangle is 180° to find y in triangle BCD.

We have ∠BCD + ∠CDB + ∠DBC = 180°.

Substituting the given values, we get 30° + 90° + (5y - 22)° = 180°.

Solving for y, we get 5y = 82, so y = 16.4.

12. BE

We can use the Pythagorean theorem to find BE in triangle ABE.

We have AB^2 = AE^2 + BE^2.

Substituting the given values, we get (5y - 22)^2 = (3y)^2 + BE^2.

Simplifying, we get 25y^2 - 220y + 484 = 9y^2 + BE^2.

Solving for BE^2, we get BE^2 = 16y^2 - 220y + 484.

Substituting the value of y that we found in part 11, we get BE^2 = 16(16.4)^2 - 220(16.4) + 484 ≈ 531.4.

Taking the square root of both sides, we get BE ≈ 23.

13. BC

We can find BC using the Pythagorean theorem in triangle BCE.

We have BC^2 = BE^2 + CE^2.

Substituting the values we found for BE and CE, we get BC^2 = 23^2 + (3y)^2.

Substituting the value of y that we found in part 11, we get BC^2 = 23^2 + 3(16.4)^2 ≈ 1163.

Taking the square root of both sides, we get BC ≈ 34.

Answer:

1: 3 4 7

2: 5 6

3: 1 4 7

4: 1 3 7

5: 2 6

6: 2 5

7: 1 3 4

Answer:

D. -27+15 (N-1)

Step-by-step explanation:

-27, -12, 3, 18

Take the second term and subtract the first term to find the common difference

-12 - (-27)

-12+27 = 15

The common difference is +15

We are adding 15 each time

The formula for an arithmetic sequence is

an = a1+d(n-1)

an = -27 +15(n-1)

The correct nth-term expression for the given sequence is -27 + 15(n - 1), reflecting the sequence's consistent increase of 15 between terms.  So the correct option is D.

The student's question asks for the expression that defines the nth term of the sequence -27, -12, 3, 18, ... given that a1 = -27. Observing the sequence, we can see that each term increases by 15 from the preceding term. Thus, to find the nth term, we start with the first term (-27) and add 15 to it n times (n - 1), because the first term is already included.

The correct expression for the nth term is therefore -27 + 15(n - 1), which simplifies to -27 + 15n - 15 and further simplifies to -42 + 15n. This corresponds to option D: -27 + 15 (n - 1).

Answer:

Side EH

Step-by-step explanation:

Side AD is proportional to side EH. If you look at ABCD, and compare it to EFGH, the ends of the name, AD, correspond with the ends of the other, EH.

Side AD of trapezoid ABCD is proportional to side EH of trapezoid EFGH due to the properties of similar geometric figures, where corresponding sides of similar shapes are in proportion.

The question asks which side of trapezoid EFGH is proportional to side AD of trapezoid ABCD, given that the two trapezoids are similar. In similar figures, corresponding sides are proportional. Therefore, if side AD of trapezoid ABCD corresponds to side EH of trapezoid EFGH, then these sides are proportional to each other.

Since we are discussing proportions and similarity of shapes, particularly trapezoids, we can reference several mathematical concepts. By the AAA theorem, which stands for angle-angle-angle, we know that if two or more corresponding angles in two figures are equal, then the figures are similar and the sides opposite these angles are proportional. Also, the proportions of corresponding sides can be determined using theorems regarding triangles and trapezoids.

We conclude that side AD is proportional to side EH because of the properties of similar geometric figures.

Step by Step Explanation:

16. x - 4 = 4

Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides:

x - 4 (+4) = 4 (+4)

x = 4 + 4

x = 8

17. a/4 = 4

Isolate the variable (a). Note the equal sign, what you do to one side, you do to the other. Multiply 4 to both sides:

(a/4)(4) = (4)(4)

a = (4)(4)

a = 16

18. y * 20 = 30

Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. Divide 20 from both sides.

(y *20)/20 = (30)/20

y = 30/20

y = 3/2 or 1.5

19. x/5 = 20

Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Multiply 5 to both sides

(x/5)(5) = (20)(5)

x = (20)(5)

x = 100

~

The expression that represents the number of baseball cards Amaya has, is x=4n-7 , where x=number of baseball cards Amaya has and n=number of baseball cards Declan has.

Given that, Declan has n baseball cards.

Sam has 4 times as any baseball cards as Declan.

So, Sam has 4n cards.

According to the question, Amaya has 7 fewer baseball cards than Sam.

So, Amaya has 7 less number of baseball cards than Sam.

If, Sam has 4n cards & Amaya has 7 less number of baseball cards than Sam.

∴ The expression is x=4n-7

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