What is the least amount of wrapping paper needed to wrap a gift box that measures 8 inches by 8 inches by 10 inches.

Answer:

Step-by-step explanation:

(x+3)^2=49

x+3=√(49)

x+3=√(7^2)

x+3=7

x+3-3=7-3

x+3=-√(49)

x+3=-7

x+3-3=-7-3

x = 4,-10

The statements that are correct are:

m∠ACB = 44° (Option B)

m∡AC = 156° (Option C)

A) m∠ACB = 44° is correct because the Circle Theorem indicates that the angle at the center is twice or double the one at the circumference.

Since, the one at the center is already 88°, thus, the one at the angle at the circumference = 88°/2 = 44°

Hence, m∠ACB = 44° (Option B) is correct.


B) m∡AC = 156° (Option C)

To get this, we need to state,

360° - 116° - 88° = 156° (Option C)

C) m∡ BAC should be determined using Alternate Segment Theorem.

According to this theorem which states that the angle that lies between a tangent c and a chord is equal to the angle subtended by the same chord in the alternate segment,

∠BAC is supposed to be equal to ∠GAC - ∠GAB

That is:

∠BAC = 90° - 44°
∠BAC = 46°

However, this is questionable because, we have proven that ∠BAO = (180-88)/2 = 46° (Isoceles Δ BOA created by shared Radii)

Thus,

∠BAC = 46°  cannot be equal to ∠BAO.

Thus, the only right answers are:

Option B and

Option C.

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Full Question:

Although part of your question is missing, you might be referring to this full question: See the attached image.

FACE is a rhombus the following measures are 9. CY= 39.05 cm, 10. FC= 40 cm, 11. AY ≈ 39.05 cm, 12. YE = 20 cm, 13. FA ≈ 39.05 cm, 14. AC ≈ 48.99 cm, 15. Perimeter ≈ 156.20 cm.

A rhombus is a quadrilateral with all four sides of equal length. It is also known as a diamond or a lozenge. The opposite sides of a rhombus are parallel to each other, and the diagonals of a rhombus bisect each other at a right angle. Additionally, the diagonals of a rhombus are perpendicular bisectors of each other. This means that they split the rhombus into four congruent right triangles.

Since FACE is a rhombus, all four sides are equal in length. Additionally, the diagonals bisect each other at a right angle, so we can use the Pythagorean theorem to find the lengths of various segments in the figure.

9. CY: Since FC is a diagonal of the rhombus, it bisects angle FCE. This means that triangle FCY is a right triangle with FC as the hypotenuse and FY and CY as the legs. Using the Pythagorean theorem, we can find that CY is:

CY² = FC² - FY²

CY² = 40² - 15²

CY² = 1525

CY ≈ 39.05 cm

10. FC: We already know that FC = 40 cm, since it is one of the diagonals of the rhombus.

11. AY: By symmetry, we know that AY is equal in length to CY, so AY ≈ 39.05 cm.

12. YE: Since YE is half of EA, and we know that EA = 40 cm, we can find that YE = 20 cm.

13. FA: Since all four sides of the rhombus are equal, FA has the same length as CY and AY, so FA ≈ 39.05 cm.

14. AC: Since AC is a diagonal of the rhombus, it bisects angle EAF. This means that triangle ACE is a right triangle with AC as the hypotenuse and AE and EC as the legs. We can use the Pythagorean theorem to find that:

AC² = AE² + EC²

AC² = 40² + 2*(YE)²

AC² = 40² + 2*(20²)

AC² = 1600 + 800

AC² = 2400

AC ≈ 48.99 cm

15. Perimeter of the given rhombus FACE: Since all four sides of the rhombus are equal, we can find the perimeter by multiplying the length of one side by 4. Using any of the values we found above for the length of a side, we get:

Perimeter = 4*CY

Perimeter ≈ 156.20 cm

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Answer:

9. CY = 15 cm

10. FC = 30 cm

11. AY = 20 cm

12. YE = 20 cm

13. FA = 25 cm

14. AC = 25 cm

15. Perimeter FACE = 100 cm

Step-by-step explanation:

In a rhombus:

Given the diagonals bisect each other, Y is the point of intersection, and CY = 15 cm, then:

[tex]\begin{aligned}\overline{FY} &= \overline{CY} \\&= 15 \; \sf cm\end{aligned}[/tex]

[tex]\begin{aligned}\overline{FC} &= \overline{FY} + \overline{CY} \\&= 15 + 15 \\&= 30 \; \sf cm\end{aligned}[/tex]

Given the diagonals bisect each other, Y is the point of intersection, and EA = 40 cm, then:

[tex]\begin{aligned}\overline{AY}&=\overline{EA} \div 2\\&=40 \div 2\\&=20\; \sf cm\end{aligned}[/tex]

[tex]\begin{aligned}\overline{YE} &= \overline{AY} \\&= 20 \; \sf cm\end{aligned}[/tex]

As the diagonals bisect each other at 90°, m∠FYA = 90°. Therefore, triangle FYA is a right triangle.

As we know the lengths of legs of the triangle FYA, we can use Pythagoras Theorem to calculate the length of the hypotenuse (FA).

[tex]\begin{aligned}\overline{FY}^2+\overline{AY}^2&=\overline{FA}^2\\15^2+20^2&=\overline{FA}^2\\225+400&=\overline{FA}^2\\625&=\overline{FA}^2\\\overline{FA}&=\sqrt{625}\\\overline{FA}&=25\; \sf cm\end{aligned}[/tex]

As the sides of a rhombus are equal in length:

The perimeter of rhombus FACE is the sum of its side lengths:

[tex]\begin{aligned}\sf Perimeter&=\overline{FA}+\overline{EC}+\overline{AC}+\overline{FE}\\&=25+25+25+25\\&=100\; \sf cm\end{aligned}[/tex]

Note: The attached diagram is drawn to scale.

answer: x= 20x

Step-by-step explanation: 2+2 is 4, 4+4 is 8, quick maths

We can compare the amount in the IRA at retirement to the total deposits made over the time period to determine if the interest earned has exceeded the amount deposited.

IRA is an acronym that stands for "Individual Retirement Account." It is a sort of investment account meant to assist individuals in saving for retirement. Individuals can deposit pre-tax income to an IRA, and the money in the account grows tax-free until taken in retirement.

Part 1: To calculate the amount that the IRA will contain when the person retires at age 65, we can use the formula for compound interest:

[tex]A = P(1 + r/n)^(nt)[/tex]

In this situation, the individual establishes the IRA at age a, thus they have t = 65 - a years till retirement. Because the APR is expressed as a percentage, we must divide it by 100 to obtain the annual interest rate in decimal form. Because the individual deposits $d at the end of each month, n = 12 (monthly compounding) and the effective monthly interest rate is r/12.

Therefore, the amount of money in the IRA at retirement can be calculated as:

[tex]A = d * ((1 + r/12)^(12*(65-a)) - 1) / (r/12)[/tex]

Part 2 : We can compare the amount in the IRA at retirement to the total amount of deposits made over the time period. The total amount of deposits can be calculated as:

Total Deposits = 12 * (65-a) * d

The amount in the IRA upon retirement (estimated in Part 1) may then be compared to the total contributions made during the time period. If the amount in the IRA exceeds the total deposits, the interest generated has exceeded the entire deposits. If the amount in the IRA is less than the total deposits, the interest produced will not be sufficient to compensate for the amount contributed.

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Answer: 90.32%

Step-by-step explanation:

To calculate your updated grade after receiving a 75% on a quiz that counts 7% of your overall grade, you can use the following formula:

New grade = (Old grade * (100 - weight of quiz)) + (Quiz grade * weight of quiz)

Plugging in your values, we get:

New grade = (97 * (100 - 7)) + (75 * 7)

New grade = (97 * 93) + (5.25)

New grade = 903.16

Therefore, your new grade is 90.32%.

Answer:  The sum of the weight of all your coursework plus your final is equal to 14.00

Step-by-step explanation:

not sure

Step-by-step explanation:

lol sorry for untidy work

Therefore, if Jane had left a message on every call, you would have gotten 670 voicemails. The solution is 670.

Since "percent" is a slang term for "per hundred," when we discuss percentages, we are speaking to a fraction of a hundred. In a variety of contexts, including math, science, finance, and daily living, percentages are used. The percent sign (%) is commonly used to denote percentages. As an illustration, to determine what proportion of 50 apples are red, you would split the number of red apples by the total number of apples and multiply the result by 100.

given

If Jane had phoned 1,000 times and you had allowed 67% of those calls to go to voicemail, then 67% of those calls would have left voicemails for you.

You can multiply the overall number of calls by the proportion of calls that went to voicemail to determine how many voicemails you would have received:

1000 x 67% = 670

Therefore, if Jane had left a message on every call, you would have gotten 670 voicemails. The solution is 670.

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The complete question is :-  

Jane called one thousand times to tell you she's sorry. If you saw she was calling and let your phone go to voicemail 67% of the time, how many voicemails would you have received if she left one each time?

Possible Answers:

3,700

57,000

67

None of the given answers

670

Answer:  d.  25 square inches

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Variability - Lack of consistency or fixed pattern; liability to vary or change

Every student most likely won’t have the same amount of letters in their first name.

The product of the fraction 1/4 x5/3 is 4/12

Fractions are defined as the part of a whole number, variable or element.

The different types of fractions in mathematics are;

Examples of simple fraction; 1/4, 2/3

Examples of improper fractions; 3/2. 4/3

Examples of proper fractions; 1/2, 2/3

From the information given, we have that;

1/4 x5/3

To determine the product, we need to multiply the numerator, then multiply the denominator

5/12

We can no longer divide the values as there is no common divisor.

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1. Option a, c and e fulfill the Pythagorean triplet rule.

2. Option a, e, and f are the correct options.

3. Yes as per the Pythagoras theorem, all the sides will be proportional to the similar triangle.

The formula for the Pythagoras theorem is written as c² = a² + b², where c is the hypotenuse of the right triangle and a and b are its other two legs.

As a result, the Pythagoras equation can be used to any triangle that has one angle that is exactly 90° to create a Pythagoras triangle.

In question 1,

The Pythagorean triplets we have are:

5, 12, 13 as they fulfill the c² = a² + b², formula.

5, 10, 5√5 and 20, 99, 101

In the second question, we have the triplet 7, 24, 25

So the triangles similar to this will have proportionate sides.

So 14, 48, 50(sides have been doubled)

√7, √24, √25 (sides have been square rooted) and

35, 120 and 125(sides have been multiplied by 5)

are the sides that are proportional.

In the last question,

If the triangle has Pythagorean triplets, then for the other triangle to be similar the sides has to be multiples of the triplets or proportionate to them.

In this case its true, so the triangles are similar to each other.

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Answer:

Her contribution to charity reduces her taxable income by $600, Thus, her tax liability will be reduced by 28% of $ 600, and she comes under 28%

Step-by-step explanation:

Answer:

the chips are marked down by 12%.

Step-by-step explanation:

To calculate the percentage discount, you can use the formula:

percentage discount = (original price - sale price) / original price x 100%

Plugging in the values given in the problem, we get:

percentage discount = (6.00 - 5.28) / 6.00 x 100%

percentage discount = 0.72 / 6.00 x 100%

percentage discount = 0.12 x 100%

percentage discount = 12%

Answer:

The answer is 12%

Step-by-step explanation:

6 - 5.28 = 0.72

0.72/6 = 0.12

0.12 is a decimal, but written as a percent is 12%.

The variance of the number of citizens favoring the supermarket is 6.

To find the variance of the number of citizens favoring the supermarket, we need to use the binomial distribution formula:

Variance = n × p × (1 - p)

where n is the number of trials (25 in this case), p is the probability of success (0.6 in this case), and (1 - p) is the probability of failure.

Plugging in the values, we get:

Variance = 25 × 0.6 × (1 - 0.6)

Variance = 25 × 0.6 × 0.4

Variance = 6

The binomial distribution is a probability distribution that models the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes, success or failure. In this case, the trials are the 25 citizens who were chosen, and the success is the event of favoring the supermarket, which has a probability of 0.6.

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The expression that completes the equation the result of 30/100 + 9/10 is 1.2.

The typical form for linear equations with two variables is Ax+By=C. For instance, the linear equation 2x+3y=5 is in standard form. When attempting to solve problems containing two linear equations, this form is also quite helpful.

We must multiply the values of 30 and 100, then add the resulting product to the resulting product of the values of 9 and 10 in order to complete the equation 30 100 + 9 10.

The result of multiplying 30 by 100 is:

30 x 100 = 3000

The result of adding 9 and 10 is:

9 x 10 = 90

Thus, we must combine these two items to finish the equation:

3000 + 90 = 3090

30100 + 910 = 3090, which is the expression that completes the equation.

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the complete question is:

complete the equation

[tex]\frac{30}{100}+\frac{9}{10}[/tex]

Answer:

The answer is 39/100

Step-by-step explanation: Nothing more.

Thus, the list BTW, BWT, TBW, TWB, WBT, and WTB is the correct response.

The number of possible arrangements or orders for a set of items is known as the arrangement number, sometimes known as the permutation number or simply as the permutation.

The following is the accurate list of all conceivable pup arrangements:

BTW, BWT, TBW, TWB, WBT, WTB

This is due to the fact that the puppies' order is important, thus we may utilize permutations to discover every potential configuration. There are 3 pups to place in a row, which results in a total of 3! = 6 combinations. We can categories them as follows:

1. BTW

2. BWT

3. TBW

4. TWB

5. WBT

6. WTB

Thus, the list BTW, BWT, TBW, TWB, WBT, and WTB is the correct response.

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The quantities arranged from smallest to largest are 1.9 g, 24 g, and 210 g.

A quantity is a property or attribute of an object or phenomenon that can be measured or described numerically. Quantities can be either scalar, meaning they have a magnitude (or size) but no direction, or vector, meaning they have both a magnitude and a direction.

First, let's convert all the quantities to the same unit.

2.4 dag = 24 g (since 1 dag = 10 g)

0.21 kg = 210 g (since 1 kg = 1000 g)

190 cg = 1.9 g (since 1 cg = 0.01 g)

Now we can arrange the quantities from smallest to largest:

1.9 g

24 g

210 g

Therefore, the quantities arranged from smallest to largest are 1.9 g, 24 g, and 210 g.

Dag is a weight measuring unit that is rarely applied in daily life. Dag is an abbreviation for "dekagram", which is a metric unit of mass equal to 10 grams. One dekagram is equivalent to 0.01 kilograms or 0.3527 ounces.

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Answer:

0.9973 or 364/365

Step-by-step explanation:

Assuming that every day of the year is equally likely to be someone's birthday, the probability that a randomly selected person has a birthday on the 1st day of the month is 1/365, since there are 365 possible birthdays in a year.

Therefore, the probability that a randomly selected person does not have a birthday on the 1st day of the month is:

P(not on 1st day) = 1 - P(on 1st day)

P(not on 1st day) = 1 - 1/365

P(not on 1st day) = 364/365

So, the probability that a randomly selected person does not have a birthday on the 1st day of the month is 364/365 or approximately 0.9973.

Answer:

48 cookies were in the bag.

Step-by-step explanation:

It said 12 was 25%, so you want to multiply it by 4 to get 100% and 100% of the bag was 48 cookies.

Answer:

2 wholes 3 tenths and 5 hundredths

Step-by-step explanation:

Answer:

52500

Step-by-step explanation:

first do 5*105 to get 525 then mutiply by 100 to get 52500

The probability of selecting an even integer is 1/2 or 0.5.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is a number between 0 and 1, with 0 indicating that the occurrence is improbable and 1 indicating that the event is unavoidable. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in a wide variety of fields, including mathematics, statistics, economics, physics, engineering, and social sciences, to make predictions and informed decisions.

Now,

There are a total of 27 - 7 + 1 = 21 integers between 7 and 27, inclusive. Of these, half are even and half are odd, since consecutive integers alternate between even and odd.

Therefore, the probability of selecting an even integer is 1/2 or 0.5.

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Argon is the gas who would work best for something that needs a steady, nonreactive gas. (Ar).

When a neutral environment is required, argon is frequently used. In this manner, titanium and other volatile metals are produced. Additionally, it is used in the manufacture of incandescent bulbs to prevent air from corroding their filaments and by welders to safeguard the weld region.

A chemical substance in the periodic table's 18th group is argon. It is an expensive gas and the third most common gas in the atmosphere of the planet. Aside from nitrogen and oxygen, argon is the most prevalent gas in the atmosphere.

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The completed statement with regards to the area of the square and the rectangle are;

The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.

The area of a square is the product of the side lengths which are congruent, therefore;

Area of a square = Side length, s × Side length, s = s²

The possible figure in the question includes;

A shaded square that is 125 square inches

An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches

Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.

Therefore;

The side length of the square = √(125) inches =  5·√5 inches

The estimated value of the side length of the square is; 5·√5 inches

The area of a rectangle = Length × Width

The length of the rectangle = 7·√5 inches

The width of the rectangle = 5·√5 inches

Therefore;

The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175

The estimated area of the unshaded rectangle is 175 square inches

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Answer:

4096/15625 or

0.262144 or

(4/5)^6

Answer:

26

Step-by-step explanation:

triangle=180

81 + 73= 154

180 - 154= 26

Answer:

∠m = 26

Step-by-step explanation:

We know that the sum of the interior angles in a triangle is added up to 180°.

Accordingly,

∠81 + ∠73 + ∠m = 180°

Combine like terms.

∠154 + ∠m = 180°

Subtract 154 from both sides.

∠m = 26

Answer:

9 is answer you fool......

answer: Click THANKS if you like my answer. have a good day sir/maam #keep safe

First, we need to find the maximum height that the rocket will reach. To do that, we need to find the vertex of the parabolic function h(t) = -16t^2 + 144t + 9. We can use the formula for the vertex of a parabola, which is given by the formula t = -b/2a, where a = -16 and b = 144.

t = -b/2a = -144/(2*(-16)) = 4.5

So the rocket will reach its maximum height after 4.5 seconds.

To find the maximum height, we need to substitute t = 4.5 into the function h(t):

h(4.5) = -16(4.5)^2 + 144(4.5) + 9 = 324

So the maximum height that the rocket will reach is 324 feet.

Therefore, the rocket will reach its maximum height of 324 feet after 4.5 seconds.

Step-by-step explanation:

hope its help<:

Answer:2,160ft

Step-by-step explanation: Volume=length * width * height

30x8x9=2160

In this question, f is a one-to-one function and f(0)=7. Thus, f⁻¹(7)=0.

As we already know that f(0)=7,

then (f(0))⁻¹ = f⁻¹(7)=0.

Thus, (f(0))⁻¹=0.

These are important as they can be used to show the existence of an inverse function. A one-to-one function is a type of mathematical function that maps one element of its domain to exactly one element of its codomain. This means that for every element of the domain, there is a unique element of the codomain.

f⁻¹(7)=0

The inverse of a one-to-one function f is denoted by f⁻¹, and it is defined as the inverse of the function f.

In this question, f is a one-to-one function and f(0)=7.

This means that the inverse of f, f⁻¹, maps 7 to 0.

Thus, f⁻¹(7)=0.

(f(0))⁻¹=0

Since the inverse of a one-to-one function f is denoted by f⁻¹, then (f(0))⁻¹ is the inverse of f(0).

As we already know that f(0)=7, then (f(0))⁻¹ = f⁻¹(7)=0.

Thus, (f(0))⁻¹=0.

To summarize, f⁻¹(7)=0 and (f(0))⁻¹=0 since f is a one-to-one function and f(0)=7.

This is because the inverse of a one-to-one function f is denoted by f⁻¹ and it maps 7 to 0.

Thus, f⁻¹(7)=0 and (f(0))⁻¹=0.

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