Find the area and the circumference of a circle with diameter 6 cm.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.

The correct option is A, we have a translation of 7 units to the right.-

To find it, we need to analyze two correspondent vertices.

We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)

Taking the difference between that, we will get:

A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)

The first value gives the horizontal translation and the second the vertical one

So,we have a translation of 7 units to the right, the correct option is A.

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The best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

To find the best-predicted height for someone with a foot length of 20.4 cm, we need to use the linear regression equation that relates foot length and height. The linear regression equation is of the form:

y = a + bx

where y is the predicted height, x is the foot length, a is the y-intercept, and b is the slope of the regression line.

From the given information, we know that the technology found a linear correlation between height and foot length. This means that we can use the paired data to calculate the values of a and b in the regression equation.

Using the paired data and technology, we can obtain the following regression equation:

height = 34.774 + 1.4966 (foot length)

Now we can substitute the given foot length of 20.4 cm into the equation to obtain the predicted height:

height = 34.774 + 1.4966 (20.4)

height = 65.83 cm

Therefore, the best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

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The volume of the sphere is 523.333 cu. In., and when rounded to the nearest thousandth, the answer is 523.333 cu. In.

The volume of a sphere is calculated using the formula V = (4/3)πr³, where r is the radius of the sphere. In this case, the diameter of the sphere is 10 inches, so we can calculate the radius by dividing the diameter by two. This gives us a radius of 5 inches. Plugging these values into the formula, we get V = (4/3)π(5)³ = 523.333 cu. In. Therefore, the volume of the sphere is 523.333 cu. In., and when rounded to the nearest thousandth, the answer is 523.333 cu. In.

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The area of a triangle is represented below

where

b = base = 14 mm

h = height = 8.2 mm

Answer:

824

Step-by-step explanation:

60976÷74

The quotient is 824

Answer:

470 x 1.1 = 517

Step-by-step explanation:

Answer:

the percentage profit of the company is 63.9%.

Step-by-step explanation:

Cost of making pins= £1.10

Number of pins= 1000

Total cost for making the pins

= Cost of each pin × Number of pins

= £1.10 × 1000

= £1110

Percentage of pins sold in charities

= 35% of 1000 pins

= (35/100) × 1000

= 350 pins

Left pins= 1000-350 = 650 pins

Number of pins sold at £3.00:

= 60% of 650

= (60/100) × 650

= 390

Selling price of these 390 pins

= 390 × £3.00

= £1170

Number of pins sold at £5.00 for 2:

= 40% of 650

= (40/100) × 650

= 260

These 260 pins were sold in pairs for £5.

Therefore, number of pairs sold

= 260/2

= 130 pairs

Selling price of these 130 pairs of pins

= 130 × £5.00

= £650

Therefore, total selling price

= £1170 + £650

= £1820

Profit by company

= Selling price - Cost price

= £1820 - £1110

= £710

Profit percentage

= Profit × 100 / Total cost price

= 710 × 100 / 1110

= 71000/1110

= 63.9%

hello

the question given requests that we find a missing angle from a triangle

from the triangle above, we can simply use trigonometric ratios on this.

trigonometric ratios are SOHCAHTOA

from the question given we have the value of opposite and adjacent and we can simply use tangent to find the missing angle

from the calculations above, the value of theta is equal to 50.6 degrees which corresponds to option B

Answer:

to multiply square roots just basically multiply the numbers and the answer is the square root of the result of multiplication

Step-by-step explanation:

Same steps in dividing square roots

e.g √8 ÷ √2 = √(8÷2) = √4 =2

√8 × √2 = √(8×2) = √16 =4

Step-by-step explanation:

To multiply and divide square roots, we use the following rules:

Multiplying square roots:

To multiply square roots, we can multiply the radicands (the numbers inside the square roots) and simplify the result. For example:

√a * √b = √(a*b)

Dividing square roots:

To divide square roots, we can divide the radicands and simplify the result. For example:

√a / √b = √(a/b)

We can also simplify square roots by factoring out perfect squares from the radicand. For example:

√48 = √(16*3) = √16 * √3 = 4√3

When dividing square roots with larger numbers or variables, we may need to use additional algebraic techniques such as rationalizing the denominator. This involves multiplying the numerator and denominator by a factor that eliminates any radicals in the denominator. For example:

(√a + √b) / (√a - √b) = [(√a + √b) / (√a - √b)] * [(√a + √b) / (√a + √b)] = (a + 2√ab + b) / (a - 2√ab + b)

These rules and techniques are essential for simplifying and manipulating expressions that involve square roots.

Answer:

i think it is option c

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

if you multiply 6 by 8 and subtracted by 3 it will equal 45

Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.

Step-by-step explanation:

You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.

Hope this helps! Have a good day :)

Step-by-step explanation:

3x squared -9 = 12

3x squared = 12 + 9

3x squared = 21

am i doing the wrong maths?

is it find what 3x squared is or....

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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9514 1404 393

Answer:

  D. m∠C=63, b=28.1, c=25.1

Step-by-step explanation:

The angle sum relation tells you ...

  C = 180° -23° -94° = 63°

The law of sines tells you ...

  b/sin(B) = a/sin(A)

  b = sin(B)·a/sin(A) = sin(94°)·11/sin(23°) ≈ 28.084 ≈ 28.1

Similarly, ...

  c = sin(C)·11/sin(23°) = sin(63°)·28.15235 ≈ 25.084 ≈ 25.1

__

  C = 63, b = 28.1, c = 25.1

Answer:

So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.

Step-by-step explanation:

To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:

C = 2 * π * r

Where:

· C = circumference of the pipe

· π = the mathematical constant approximately equal to 3.14

· r = the radius of the pipe

Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:

r = 2.5 inches + 0.5 inch = 3 inches

Plugging in the values:

C = 2 * π * 3

C = 6.28 * 3

C = 18.84 inches

Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.

Answer:

21c^5 − 49c^4 + 14c^3

Step-by-step explanation:

7c^3 * 3c^2 is 21c^5

7c^3 * -7c is -49c^3

7c^3 * 2 is 14c^3

If you put it in a equation the equation will be

21c^5 − 49c^4 + 14c^3

Hope this helps!

Answer:

5

Step-by-step explanation:

since its isosceles AB = BC

3x - 4 = 5x - 10

2x = 6

x = 3

AB = 3(3) - 4

= 9 - 4

= 5

Answer:

1. x1=15.75.

2. 24/48=0.5

3. 24/25=0.96

Step-by-step explanation:

1. 15.75/18=0.875

2. you multiply 48 times 0.5 to find 24.

3. multiply 0.96 with 25 to get 24.

Answer: 1320

Step-by-step explanation:

Given: In pizza parlor, Number of types of crust = 4

Number of types of different toppings = 12

Number of types of cheese blends = 3

Now, the number of ways to choose a pizza with one type of crust, three different toppings, and one cheese blend

= \(^{4}C_1\times\ ^{12}C_3\times\ ^3C_1\)  

= \(4\times \ \dfrac{12!}{3!(12-3)!}\times 3\ \ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!},\ ^nC_1=n]\)

= \(12\times\dfrac{12\times11\times10\times9!}{2\times6\times9!}\)

= \(12\times11\times10= 1320\)

Hence, the required number of ways = 1320

Using the Fundamental Counting Theorem, it is found that you could order a three-topping pizza in 144 ways.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem, we have that a pizza parlor has four types of crust, 12 different toppings, and three different cheese blends to choose from, hence:

\(n_1 = 4, n_2 = 12, n_3 = 3\)

Then:

\(N = 4 \times 12 \times 3 = 144\)

You could order a three-topping pizza in 144 ways.

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Answer: Not necessarily. Dividing the pie chart into 5 equal sections might be a way to display categorical data if the number of categories is 5. However, dividing it into 5 sections might not be the best way to display the data if the number of categories is different than 5 or if any category has a significantly higher or lower proportion than the others. In this case, it may be more appropriate to use a different scale to display the correct ratio. It is important to consider data distribution and visualization clarity before choosing how to display categorical data.

The total number of tongue depressors and Band-Aids are 56 and 128 respectively.

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given that, a medic's bag contains individually wrapped tongue depressors (each costing 4 cents) and Band-Aids (each costing 8 cents). If the materials are worth $12.48 and there are 184 individual packages in total,

Let the number of wrapped tongue depressors be w and that of Band-Aids be b,

Therefore,

w+b= 184

0.04w+0.08b = 12.48

w+2b = 312

On solving the equation, by elimination method, we get,

b = 128

Therefore, w+128 = 184

w = 56

Hence, the total number of tongue depressors and Band-Aids are 56 and 128 respectively.

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Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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The correct fraction that goes in the blank seven over eight > _____> three over five are,

⇒ 2 / 3

We have to given that;

The expression is,

⇒  seven over eight > _____> three over five

Now, We can write as;

⇒ seven over eight > _____> three over five

⇒ 7 / 8 > ___ > 3 / 5

Now, We can fill with fraction as;

⇒ 7 / 8 > 2 / 3 > 3 / 5

Thus, The correct fraction that goes in the blank seven over eight > _____> three over five are,

⇒ 2 / 3

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The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

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As per the given inversion, the time independent Schrödinger equation in one dimension is \(\frac{-hx^{2}}{2m} \times\frac{d^{2}(x)}{dx^{2} } + U(x)f(x)=Ef(x)\)

The term inversion in math refers a concept in discrete mathematics to measure how much a sequence is out of its natural order.

Here we have given that the potential energy function is given by the following: -a CO r I 2 -a 2 V(r)={ 0, s > a CO < 2}

And we need to find the eigenfunctions must be either even or odd under the same reflection operation.

While we looking into the given question, let us consider E is the total energy of the particle, and U (x) the potential energy function and ψ (x) the spatial part of the wavefunction.

Based on the the function can be written as,

=>  \(\frac{-hx^{2}}{2m} \times\frac{d^{2}(x)}{dx^{2} } + U(x)f(x)=Ef(x)\)

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Answer:

Step-by-step explanation:

0.898989..... is a rational number because it has a terminating decimals