What is the diameter of a hemisphere with a volume of
62617cm[tex]What is the diameter of a hemisphere with a volume of 62617cm3, to the nearest tenth of a centimeter[/tex]

[tex] \angle3 \: and \: \angle4 [/tex] are complementary.

What is Complementary angle?

If sum of two angles is 90° then we can say that those angles are complementary.

For example, if [tex] \angle \: a + \angle \: b = {90}^{o} [/tex] then angle a and angle b are complementary.

Here are some examples of complementary angles:

Here given,

[tex] \angle1 \: and \angle2[/tex] are complimentary.

So,

[tex] \angle1 + \angle2 = {90}^{o} [/tex]

It is clear that [tex] \angle1, \angle2, \angle3, \angle4[/tex] are making a straight angle.

So, we can write,

[tex] \angle1 + \angle2 + \angle3 + \angle4 = {180}^{o} \\ {90}^{o} + \angle3 + \angle4 = {180}^{o} \\ \angle3 + \angle4 = {180}^{o} - {90}^{o} \\ \angle3 + \angle4 = {90}^{o} [/tex]

Here sum of angle 3 and angle 4 is 90°.

According to definition angle 3 and angle 4 are complimentary angles.

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Answer:

yes

Step-by-step explanation:

john has 34 marbles

Answer: (6,-5)

Step-by-step explanation:

Rectangle, semi circle, semi circle

Perimeter: 60.8

Area: 64.2

In mathematics, the two key characteristics of two-dimensional forms are area and perimeter. The difference between area and perimeter is how much room each type of shape takes up.

Mathematical concepts like area and perimeter are crucial because they are applied to daily living. Any size and form, whether regular or irregular, can use this. Each design has a unique area and perimeter calculation. Forms like triangles, squares, rectangles, circles, spheres, etc. should be known to you. Here, the boundaries and surfaces of all forms are explained.

perimeter= 60.8

each of the three shapes' perimeters separately, then sum them all up to get 60.8.

area= 64.2

Calculate the area of each of the three shapes separately, then sum them all up to get 64.2.

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The complete question attached below,

The required size and perimeter of the Area are respectively 27.42 and 64.26 square units.

A shape's perimeter is its circumference. How are perimeters determined? By adding the lengths of each side of a shape, the border may be obtained.

A shape comprised of two circles and a rectangle has been provided.

the size of a circle = 12 - 6 = 6

then radius = 3 units

Perimeter = 3+3+3+3+3+3+π(3)

= 18 + 3.14(3)

= 18 + 9.42

= 27.42 units

and

Area = area of rectangle + area of two half circles

= 12(3) + π(3)²

= 36 + 28.26

= 64.26 sq units.

Therefore, the shape's needed area and perimeter are respectively 27.42 and 64.26 square units.

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Answer:

[tex]f(x)=-3x^2+5[/tex]

[tex]f(2) = -7[/tex]

Step-by-step explanation:

Given equation:

[tex]y+3x^2=5[/tex]

To solve the equation for y in terms of x, simply subtract 3x² from both sides of the equation:

[tex]\implies y+3x^2-3x^2=5-3x^2[/tex]

[tex]\implies y=-3x^2+5[/tex]

Replace y with the function notation f(x):

[tex]f(x)=-3x^2+5[/tex]

Finally, to find the value of f(2), substitute x = 2 into the function:

[tex]\begin{aligned}\implies f(2)&=-3(2)^2+5\\&=-3(4)+5\\&=-12+5\\&=-7\end{aligned}[/tex]

Answer:

Step-by-step explanation:

To find:-

Answer:-

We are here a given a equation, with some steps to follow, in order to find out the value of [tex]f(2)[/tex].

Step 1 :- Solve the equation in terms of y ,

The given equation to us is,

[tex]\longrightarrow y + 3x^2 = 5\\[/tex]

To solve for y , we need to transpose 3x² from LHS to RHS , by doing this , the sign changes from positive to neagative .

[tex]\longrightarrow y = 5 - 3x^2 \\[/tex]

Step 2 :- Replace y with function notation [tex]f(x)[/tex]

Just simply replace y here with f(x) as ,

[tex]\longrightarrow f(x) = 5 - 3x^2\\[/tex]

Step 3 :- Find f(2) .

To calculate the value of f(2) , we need to put x = 2 , in the above equation as ,

[tex]\longrightarrow f(2) = 5 - 3(2)^2\\[/tex]

Simplify,

[tex]\longrightarrow f(2) = 5 - 3(4)\\[/tex]

[tex]\longrightarrow f(2) = 5 - 12\\[/tex]

[tex]\longrightarrow \boxed{ \boldsymbol{f(2) = -7 }} \\[/tex]

Hence the required answer is -7 .

Answer: 98 cm²

Step-by-step explanation:

When a cartographer enlarges a map with a scale factor, both the length and the width are multiplied by the scale factor. In this case, the scale factor is 3.5.

Original dimensions of Colorado on the map:

Length: 4 cm

Width: 2 cm

Enlarged dimensions using the scale factor of 3.5:

Length: 4 cm × 3.5 = 14 cm

Width: 2 cm × 3.5 = 7 cm

To find the area of the enlarged map, multiply the enlarged length and width:

Area = Length × Width

Area = 14 cm × 7 cm

Area = 98 cm²

The area of the enlarged map is 98 cm².

In the excerpt from "The City Lost in the Snow," the statement that best reflects how the cultural setting influences Sigismondo's attitude is: C.

The scarcity of jobs makes Sigismondo appreciate the temporary employment the snow provides. T

his statement reflects the importance of the cultural setting, as it shows that Sigismondo values the opportunity to work and earn money, even if it's temporary, due to the scarcity of jobs in the city.

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Answer:

Step-by-step explanation:

Using factors, we can conclude that the new product will be 48 time more than the old product.

In mathematics, the factor of a number is a divisor of the inputted integer that entirely divides it, leaving no residue. We can use a variety of techniques, including the division method and the multiplication method, to identify a number's components.

Let the product be P.

Let the numbers be a and b.

Now,

P = a × b

According to the question.

Let a is increased by a factor of 12 and b by 4:

P = 12a × 4b

P = 48 × a × b

Hence, we can conclude that the product will increase by a factor of 48.

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Answer:

Step-by-step explanation:

it’s equals 0 I think

Answer: Algebra Examples

Logarithm base 4 of 4 is 1.

Step-by-step explanation:

unity

The value of log 4 to the base 4 is equal to unity. The Antilogarithm of the logarithmic value of 4 is equal to 4.

Check the picture below.

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{22}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{PQ} \end{cases} \\\\\\ PQ=\sqrt{ 22^2 - 6^2}\implies PQ=\sqrt{ 484 - 36 } \implies PQ=\sqrt{ 448 }\implies PQ\approx 21.17[/tex]

The monthly interest yield on Tom's retirement account for a 30-year period would be $637.71.

Assuming that the interest is compounded monthly, the monthly yield on Tom's retirement account with an APR of 4.57% for a 30-year period can be calculated using the formula:

Monthly Yield = (Principal × Monthly Interest Rate) ÷ (1 - (1 + Monthly Interest Rate[tex])^{(-Number of Months)}[/tex]

Here, Principal = $160,000

APR = 4.57%,

Number of Months = 30 years ÷ 12 months/year = 360 months.

First, we need to convert the APR to a monthly interest rate by dividing it by 12:

Monthly Interest Rate = 4.57% × 12

Monthly Interest Rate = 0.3808%

Monthly Yield = (160000 × 0.3808%) ÷ (1 - (1 + 0.3808%[tex])^{-360}[/tex]

Monthly Yield = $637.71

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Answer:

it should be B but I could be wrong

Step-by-step explanation:

B

The tax rate of a house valued at $115,000 with a property tax of $1265 is 110%. or $110 per $1,000 of property value.

The property tax is the levy imposed on the assessed value of the property of an individual or corporation.

Property tax is usually levied as a percentage of the assessed value.

Property tax = $1265

House value - $115,000

Tax rate = 110% [tex](\$1265\div\$115000 \times 100)[/tex]

Thus, the tax rate of a house valued at $115,000 with a property tax of $115,000 is 110%. or $110 per $1,000 of property value.

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Answer: 6.3 per bag

Step-by-step explanation:

31.50 divided by 5 is 6.3!!!!

Answer: 6.3

Step-by-step explanation:

Divide 31.50 with 5

[tex]5\sqrt{31.50}[/tex]

5 goes into 3 0 times so you do 31/5. You get 6 with 1 as the remainder since 6x5 is 30. Now you do 15/5 which is 3. You get 63 but you have to add the decimal between the 6 and 3 so you will get 6.3. Hope this helped.

Answer:

38/15

Step-by-step explanation:

4 1/5 - 5/3

4 1/5 = 21/5

21/5 - 5/3 = 63/15 - 25/15 = 38/15

So, the answer is 38/15

Answer:

we need to add the money Andy earned to the negative balance he had. So, we have:

-$45 + $30 + $25 = $10

Therefore, Andy now has $10 in his checking account.

Answer:

Andy now has $10 in his checking account.

Step-by-step explanation:

Andy starts the week with -$45 in his checking account. When he gets paid $30 for mowing the grass and $25 for vacuuming the house, his total earnings for the week are:

$30 + $25 = $55

To find out how much money he now has in his checking account, we need to add his earnings to his starting balance of -$45. Adding a negative number is the same as subtracting a positive number, so we can write this as:

-$45 + $55 = $10

Therefore, Andy now has $10 in his checking account.

Answer:

0.7 = 0.70, so 0.17 < 0.70

Answer:

0.5625

Step-by-step explanation:

The BMI​ of a person whose weight is 176 lb and whose height is 77 inches is 21.

First, let's use the given information to find the constant of proportionality in the BMI formula:

BMI = k × (weight in pounds) / (height in inches)²

When the 6-foot-tall person weighing 177 lb has a BMI of 24, we can plug in the values and solve for k:

24 = k ₓ 177 / (72²)

k = 24 ₓ (72²) / 177

k ≈ 9.94

Now we can use this value of k to find the BMI of the person whose weight is 176 lb and whose height is 77 in:

BMI ≈ 21

BMI = 9.94 ₓ 176 / (77²)

Therefore, the BMI (to the nearest whole number) of the person is 21, which falls within the healthy weight range of 19 to 25.

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The graph of [tex]g(x)[/tex] is the result of taking the graph of [tex]f(x)\\[/tex], shifting it right three units and down two units.

The description of the incident is shown below

One incident that shows how selection works in the process of perception is when you are at a party and you hear your name being mentioned in a conversation across the room. In this situation, your attention is immediately drawn to the conversation, and you focus on it while filtering out other sounds and distractions around you.

This is an example of selective attention, where you choose to focus on a particular stimulus and ignore others.

As for an example of a stereotype that I have, it is that all people who live in a certain region or country behave in a particular way.

For instance, I may have the stereotype that people from a particular country are loud and aggressive.

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Answer:

soln

6+r =2r+3

6-3=2r-r

3=r

Answer: a = -2

Step-by-step explanation:

8a = -12 + 2a

8a - 2a = -12
6a = -12
a = -12/6

a = -2

Answer:

[tex](3x, 3y)[/tex]

Step-by-step explanation:

The scale factor is 3 so you multiply 3 by the (x,y) to get (3x,3y) as the scale factor

The correct three options are:

Nathan rolled a number cube and recorded the results in a table.

The number cube has six sides, numbered 1 through 6.

The number 4 was rolled more frequently than any other number.

Nathan rolled a number cube and recorded the results in a table.

The number cube has six sides, numbered 1 through 6.

Nathan rolled the number cube a total of 90 times.

The number 4 was rolled more frequently than any other number.

The number 2 was rolled the least frequently of all the numbers.

The total number of rolls for odd numbers is greater than the total number of rolls for even numbers.

The correct statements are:

Nathan rolled a number cube and recorded the results in a table.

The number cube has six sides, numbered 1 through 6.

The number 4 was rolled more frequently than any other number.

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Answer: (x+2)(x-8)

Step-by-step explanation:

x^2-6x-16
x^2-8x+2x-16
x(x-8)+2(x-8)
(x+2)(x-8)