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Intersection of angle of triangle known as incenter is equidistant from the sides of the triangle.

An angle of a triangle is divided into two congruent angles by a straight line known as the angle bisector.

The incenter is the location where the intersection of the three angle bisectors of a triangle occurs.

In the figure , I is incenter of ΔPQR.

The sides of the triangle are equally distance from the incenter.

Meaning, PI=QI=RI. The triangle's inscribed circle is a circle that contacts all three sides and has the incenter as its center and a radius equal to this distance.

The triangle can accommodate only one circle larger than this one.

An equilateral triangle will have an identical incenter and circumcenter.

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Answer:

21.78 m^2

Step-by-step explanation:

9.9 x 4.4 / 2 = 21.78 m^2

Answer:

18.5

Step-by-step explanation:

Just add 18.5 and 55.50 and repeat with the other numbers

Answer:

x is 18.5

Step-by-step explanation:

3/55.50=18.5

same as all the others

Answer:

----------------------

Find the hypotenuse c of the base using Pythagorean theorem:

Lateral surface area, three rectangular faces, is:

Find base area, the area of two right triangles:

Find total surface area:

Answer:

222222222222222222222%

Answer: A = 67%

Step-by-step explanation:

Given:

The insect population function is:

\(f(x)=10(2)^x\)

Where x is the number of weeks.

To find:

The population after 4 weeks.

Solution:

The population of insect after x weeks is given by:

\(f(x)=10(2)^x\)

We need to find the population after 4 weeks.

After substituting \(x=4\), we get

\(f(4)=10(2)^4\)

\(f(4)=10(16)\)

\(f(4)=160\)

The population after 4 weeks is 160. Therefore, the correct option is C.

The y intercept of the equation is 11. It interprets that the baby weighs 11 pounds at the time of birth.

y-intercepts are when the line touches the y-axis. To find these, find the y when x = 0 in the equation. The point for a y-intercept will look like (0,y).

w = 11 + 2t

Putting t = 0, w = 11

y intercept of the equation is 11 pounds. Implying that, the baby weighed 11 pounds at time of birth i.e., at time of month 0.

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Answer:

y equals to 42

Step-by-step explanation:

since x=15, y will equal to 15+27

therefore, y=42

Answer:

H-40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

The cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, is $442.80.

To determine the cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, we need to calculate the net cash flow.

Given information:

Cost of the pizza oven: $600

Expected lifespan: 10 years

Cash inflows: $880 per year for the next 5 years

Cash outflows: $240 per year for the next 5 years

Tax rate: 34%

Calculate the annual depreciation expense:

Depreciation Expense = Cost of the pizza oven / Expected lifespan

Depreciation Expense = $600 / 10 = $60 per year

Calculate the taxable income:

Taxable Income = Cash Inflows - Depreciation Expense - Cash Outflows

Taxable Income = $880 - $60 - $240 = $580

Calculate the tax amount:

Tax Amount = Taxable Income * Tax Rate

Tax Amount = $580 * 34% = $197.20

Calculate the net cash flow:

Net Cash Flow = Cash Inflows - Cash Outflows - Tax Amount

Net Cash Flow = $880 - $240 - $197.20 = $442.80

Therefore, the cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, is $442.80.

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The cash flow for the pizza restaurant in the second year, assuming a tax rate of \(34\%\), is \(\$442.80\).

To determine the cash flow for the pizza restaurant in the second year, we need to calculate the net cash flow by subtracting the total cash outflows from the total cash inflows, taking into account the tax rate.

Given:

Cost of the oven: $600

Expected life of the oven: 10 years

Cash inflows per year: $880

Cash outflows per year: $240

Tax rate: 34%

First, we calculate the annual depreciation expense using the straight-line method:

Depreciation expense per year = Cost of the oven / Expected life of the oven

Depreciation expense per year =\(\$600 / 10 = \$60\)

Next, we calculate the taxable income for each year:

Taxable income per year = Cash inflows per year - Depreciation expense per year - Cash outflows per year

Taxable income per year = \(\$880 - \$60 - \$240 = \$580\)

Then, we calculate the tax payable for each year:

Tax payable per year = Taxable income per year * Tax rate

Tax payable per year =\(\$580 * 0.34 =\$197.20\)

Finally, we calculate the net cash flow for the second year:

Net cash flow = Cash inflows per year - Cash outflows per year - Tax payable per year

Net cash flow =\(\$880 - \$240 -\$197.20 = \$442.80\)

Therefore, the cash flow for the pizza restaurant in the second year, assuming a tax rate of \(34\%\), is \(\$442.80\).

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Answer:

he can buy 4 sheets of paper to print 16 pages

he will have 0.10 cents left

Step-by-step explanation:

With each piece of paper, he can print 4 pages

He has a full dollar

1/0.25 = 4

he can print 4 pages because the last 10 cents will not be enough to print another page

4 * 4 = 16

He will not be able to print all the pages

Answer:

A = 2(7) + (1/2)(4)(4 + 9) = 14 + 26 = 40 m²

1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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Answer:

Carlie is correct he or she has the best and most were to explain the answer.

Step-by-step explanation:

The two triangles ΔRST and ΔUVW are similar to each other by the SAS property.

Two objects are said to be comparable if they have the same shape. Therefore, two figures are said to be comparable in mathematics if they share the same shapes, lines, or angles.

Given that there are two triangles ΔRST and ΔUVW. ΔRST has the angle ∠T = 59° and the sides RT = 15 units and ST = 13 units. The other triangle ΔWVU has the angle ∠W = 59° and the sides WV= 52 units and WU= 60 units.

Firstly the two angles are the same,

∠T= ∠W = 59°

The two sides are dilated by a scale factor of 4,

WV /  ST = 52 / 13 = 4

WU /  RT = 60 / 15 = 4

So these sides are similar.

Hence, from the SAS property, the two triangles are similar.

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Answer:

1

Step-by-step explanation:

1+1=2

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Answer: A negative times a negative is always positive because the two negative signs are canceled out.

Step-by-step explanation:

If you seek a more in-depth explanation, Khan Academy actually has a video available on this topic!

The expression can be used to find the difference of the polynomials is [10m (–7m)] [(–6) 4]

Difference of polynomials

A polynomial is a function that has a leading degree of 3 and above.

Given the expression below

(10m – 6) – (7m – 4)

Expand

10m - 6 - 7m  + 4

Collect the like terms

10m - 7m - 6 + 4

Simplify

3m -2

Hence the expression can be used to find the difference of the polynomials is [10m (–7m)] [(–6) 4]

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Answer:

$2.50

Step-by-step explanation:

Because you got 6 avocados for 15 dollars so you divide 15/6 to find out each unit cost for the avocados

Answer: \(\frac{1}{9}\)

Step-by-step explanation:

When any number has a negative exponent, all the negative exponent is doing is flipping the sides.

When we plug -3 in for x we get \(-3^{-2}\).

Now just imagine the -3 in fraction form as \(\frac{-3}{1}\). And all you do now is just flip the sides to get \((\frac{1}{-3} )^{2}\)

And now apply the exponent 2 to the 1 and negative 3.

1 to the power of 2 is just 1

-3 to the power of 2 is 9.

So your answer is \(\frac{1}{9}\)

Answer:

78125

Step-by-step explanation:

Answer:

The slope of the pile of sand is 0.5

Step-by-step explanation:

Since slope = vertical distance/horizontal distance.

Here, the vertical distance from the pile's peak to its base is 2.5 meters and the horizontal distance from its peak to its edge  is 5 meters.

So, we calculate the slope as

slope = vertical distance/horizontal distance where vertical distance = vertical distance from the pile's peak to its base = 2.5 meters and horizontal distance = horizontal distance from its peak to its edge  = 5 meters.

slope = vertical distance/horizontal

slope = 2.5 meters/5 meters

slope = 0.5

So, the slope of the pile of sand is 0.5

The number of calories burned y after x minutes of kayaking is

You should know when we eat and drink more calories than we use up, our bodies store the excess as body fat. If this continues, over time we may put on weight

For kayaking Linear function is y=4.5x

In 45 minute means  x=45

so, y=4.5x

45*45

= 20.25

That means in kayaking will  burnt 20.25 calories in 45

minutes

Therefore, hiking burns more calories.

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Answer:

.............

Step-by-step explanation:

......................................

0.231140  is the probability that eight have relief within a few minutes .

What is probability explain with an example?

let X be the number of patients having relief within a few minutes out of 12 patients.

so X~ Bin(12,p)  where p=0.70

so P[8 have relief within a few minutes]=P[X=8]

                                         = ¹²C⁸ * 0.78 * 0.34

                                            = 0.231140

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Answer:

angle 1 is 145°

Step-by-step explanation:

this is because à horizontal line is always 180° so you jus have to subtract 35 from 180

Holy will take 13/5 or 2.6 hours to finish the bookcase.

The relation between time and work is

Work Done = Time Taken × Rate of Work ·

or, Rate of Work = 1 / Time Taken ·

or, Time Taken = 1 / Rate of Work ·

Now it is given that,

Time taken by Fritz to build a bookcase =  8 hours

So, Bookcase build by Fritz in 1 hour = 1/8

Similarly,

Time taken by Holly to build a bookcase =  10 hours

So, Bookcase build by Holly in 1 hour = 1/10

So, bookcase build in 3 hours

Fritz = 3/8

Holly = 3/10

Total bookcase build in 3 hours =  3/8 + 3/10 =  27/40

So. remaining work =  1 - 27/40 =  13/40

Thus, Time taken by Fritz to complete the bookcase =  8 * (13/40) hours

                                                                                         =  13/5 or 2.6 hours

Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.

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Answer:

D

Step-by-step explanation:

I just did it