Apply the Pythagorean Theorem to find the distance between points B and C. A) 18 units B) 55 units C) 64 units D) 73 units

Answer:

D. 2/3π inch

Step-by-step explanation:

360°/12=30° each slice of pizza is 30°.since they are all congruent:

c= 2πr*30°/360°

c=2(4)π* 1/12

c=8π/12

c=2/3π inch

The length of the outer edge of any one slice of the pizza is 2.09 inches

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.

A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

A circular sector, also known as circle sector or disk sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.

Given,

Diameter of the pizza = 8 inches

Number of slices =12

We know that,

A circle has a total of 360 degrees all the way around the center

Then angle of each size of pizza = [tex]\frac{360}{12}=30[/tex] degrees

Length of the outer edge of any one slice of pizza = Length of the arc of the sector

Arc length = [tex]2\pi r(\frac{angle}{360})[/tex]=[tex]2\pi (4)(\frac{30}{360})[/tex]

Arc length = 2.09 inches

Hence, the length of the outer edge of any one slice of the pizza is 2.09 inches

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Answer: it's not working on my laptop but it seems to be working on the phone right now

Answer:

can somebody help asap !!!

Step-by-step explanation:

Answer:

Coordinate d

Step-by-step explanation:

Answer: d is larger

c = -2 and d = -1

====================================================

Explanation:

We have c = -2 as this is the same as the x coordinate of (-2,-1), which is the point directly below (c,5).

The point (3,d) is on the same horizontal level as (-2,-1), so the y coordinates must match up. We therefore have d = -1.

Comparing c = -2 and d = -1, we see that d = -1 is larger as it is to the right of -2.

Answer:

420

Step-by-step explanation:

First, you multiply the base by the slant height for the area of one triangle (160). Then multiply that by 1/2 to complete the area equation. 80*4 (four triangles equals 320. Then you multiply to find the base area 10*10= 100. Add those numbers together to get 420.

The surface area of the pyramid is 178.9 square centimeter.

We have a pyramid with the base edges (L) = 10 cm and slant height (S) = 16 cm .

We have to find the Surface area of the pyramid.

The formula is -

[tex]S.A. = L^{2} + L\sqrt{L^{2} + 4h^{2} }[/tex]

Now, firstly find the height of the pyramid - using the Pythagoras theorem-

[tex](S)^{2} =(\frac{L}{2} )^{2} +h^{2} \\h^{2} = (S)^{2} - (\frac{L}{2} )^{2}\\h = \sqrt{(S)^{2} - (\frac{L}{2} )^{2}} \\[/tex]

h =  15.19 cm

Substituting the value of height in the formula of surface area -

S.A. = [tex](5)^{2} +5\sqrt{(5)^{2}+4(15.19)^{2} } \\[/tex] = 25 + 5 x 30.78 = 178.9 square centimeter.

Hence, the surface area of the pyramid is 178.9 square centimeter.

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Answer:

The answer is option A

Step-by-step explanation:

[tex]5 \frac{3}{7} [/tex]

Can be written as

[tex] \frac{38}{7} [/tex]

Hope this helps you

Answer:

38/7

Step-by-step explanation:

question: 5*3/7

      we should first cross multiply 5 with 7 and add the 3 to the product.

      the formula for solving any question like this is :-

               ( whole no. multiplied with denominator ) + numerator

                                                 denominator

           here:   (5*7)+3

                           7

Answer:

Assume that 1900km^2 is 1900.

If that happens, The equation of that will look like...

1900 - (1900 x 7.75% x 14)%.

1900 x 7.75% are 147.25.

and 147.25 x 14 are 2061.5.

so... there will be no forest after 14 years.(harsh)

Hope it helps!

The area of the forest after 14 years would be 614.1617 km².

We have,

Let's denote the initial area of the forest as A₀ = 1900 km².

The decrease in the area each year is 7.75%, which means that the remaining area after each year is 92.25% of the previous year's area.

i.e

[tex]A_i= A_0[/tex] (1 - 0.0775)

where Aᵢ is the area after i years.

To find the area after 14 years.

A₁₄ = 1900 x [tex](1 - 0.0775)^{14}[/tex]

      = 1900 x 0.3232430884671

      = 614.1617 km²

Therefore,

The area of the forest after 14 years would be 614.1617 km².

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Answer:

-3.2 is the opposite of 3.2

2.3 is the opposite of -2.3

1.5 is the opposite of -1.5

-5.1 is the opposite of 5.1

Step-by-step explanation:

If your value is a positive, make it a negative

Ex. 3-->-3

If your answer is a negative, make it a positive

Ex. -3-->3

Answer:

-3.2 is the opposite of 3.2

2.3 is the opposite of -2.3

1.5 is the opposite of -1.5

-5.1 is the opposite of 5.1

Answer:

a) Number of hours it takes 1 centimetre of snow to form in Harper's yard = (1/5) hour = 0.20 hour

b) Centimetres of snow that accumulate per hour = 5 cm

Step-by-step explanation:

Complete Question

We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d=5h.

a) How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard? hours

b) How many centimeters of snow accumulate per hour? centimeters

Solution

The depth of snow, d, in centimetres that accumulates in Harper's yard in h hours is given d = 5h

a) Number of hours it takes 1 centimetre of snow to form in Harper's yard.

d = 5h

d = 1 cm

h = ?

1 = 5h

h = (1/5) = 0.20 hour

b) Centimetres of snow that accumulate per hour.

d = 5h

In 1 hour, h = 1 hour

d = ?

d = 5 × 1 = 5 cm

Hope this Helps!!!

Answer:

1/5 hours

5 centimeters

Step-by-step explanation:

Answer:

f = 27

Step-by-step explanation:

11 = f - 16

Add 16 to both sides.

11 + 16 = f - 16 + 16

27 = f

Answer:

132 cm^2

Step-by-step explanation:

Area of the two triangles + Area of the three triangles

2x1/2x3x4 + 5x10 + 4x10 +3x10 = 132 cm^2

The rules used in my answer are:

Answer:

1. 25,000+1000x

2. 19,000+1500x

3. 25000+1000x>19000+1500x

Step-by-step explanation:

For the 1st it is 25,000 because that is what he starts off with and there is an x behind 1000 because it depends on how many years he receives the bonus. For example, if he was there for 3 years the equation would look like 25000+1000(3).  

For the 2nd one, it is the same concept as the first one.

For the third one, it says that Nicholas will make more money so the greater symbol has to be facing the equation that stands for his amount of money.

Hope this helps!

Answer:

This is not an exponential function because the variable is in the exponent position.

Answer:

D

Step-by-step explanation:

The required measure of XZ (the minor arc) is 116. Option A is correct.

In the figure, a circle gave with 3 arc divisions XY, YZ, and XZ. And angle 58 at point y.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by. (x-h)²+(y-k)²=2 where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.

Since by the property of the circle the angle subtended by arc to the vertex corresponding to the center is half the measure of the angle subtended by the arc to the center.
so, let the center of the circle is o.
Now,
measure of XZ = 2 * 58
                         =  116

Thus, the required measure of XZ (the minor arc) is 116.

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Answer:

A. 6 √2

Step-by-step explanation:

If a triangle is a 45-45-90 triangle then,

Theorem 5-13: If each acute angle of a right triangle has a measure of

45 degrees, then the measure of the hypotenuse is the square root of two times as long as a  leg (45, 45, 90 Theorem).

so the hypotenuse is x√2, and x = 6 (side length)

Answer:

4:1 & 8:2

Step-by-step explanation:

The ratio is 32/8

When simplified it will be 4/1

Since the next ratio is 8/x, make the equation 4x = 8

Because x = 2 the ratio will be 8/2

===========================================

Work Shown:

40 coins total

16 are dimes

40-16 = 24 coins are not dimes

Half of this is 24*(1/2) = 12 which are quarters. The other half (12) are pennies and nickels

n = number of nickels

p = number of pennies

This means n+p = 12 so that we have 12 pennies and nickels combined.

"There are 2 nickels for every penny", so we can write n = 2p. If p = 1, then n = 2. If p = 2, then n = 4, etc. Whatever p is, we double it to get n.

So,

n+p = 12

2p+p = 12

3p = 12

p = 12/3

p = 4, we have 4 pennies

n = 2p

n = 2*4

n = 8 and 8 nickels

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

Here are all the coin counts

16+12+8+4 = 40 coins total

Answer:

Option (B) is correct, 4 pennies.

Answer:

11) HEJ , 25°

12) JEK , 50°

13) JEF

14) DEF

Step-by-step explanation:

11)

Well angle HEJ by using the protractor has a angle measure of 25°.

12)

Angle JEK has a angle measure of 50°

13)

Angle JEF is a right angle because it has a measure of 90°

14)

Angle DEF is a straight angle because it has a angle measure of 180°

Hope this helps :)

Answer:

-5x - 8y = -5.

Step-by-step explanation:

4x + (-9x) -4y + (-4y) = -2 + (-3)

-5x - 8y = -5.

Answer:

 -5x -8y = -5

Step-by-step explanation:

The question asks us to add the equations

  4x - 4y = -2

+ -9x -4y = -3

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

 -5x -8y = -5

Answer:

D

Step-by-step explanation:

According to the SAS theorem, if the 2 sides of the 2 triangles are multiples of each other by the same scale factor, with the angle in between them being the same for each triangle. The triangles are similar.

The SSS theorem is not appropriate here because we do not know the side lengths of AB or DE in the diagram. For SSS theorem we need to know all of the side lengths.

A is incorrect because the similarity can be determined.

Answer:

d

Step-by-step explanation:

Answer: The polynomial has 3 terms and a degree of 10.

Step-by-step explanation:

The given polynomial: [tex]5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7[/tex]

Here, two terms [tex]5s^6t^2[/tex] and [tex]8s^6t^2[/tex] have same power for s and t i.e. they are like terms.

Combine like terms , we get

[tex]6st^9 - 3s^6t^2 - 6t^7.[/tex] i.e. there are 3 terms.

Degree of [tex]6st^9[/tex]  is 1+9=10;

Degree of [tex]- 3s^6t^2[/tex] is 6+2=8;

Degree of  [tex]- 6t^7[/tex]  is 7.

Since degree of the polynomial = highest degree i.e. 10

Hence, the polynomial has 3 terms and a degree of 10.

The statement which is true about the polynomial 5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷ is; It has 4 terms and a degree of 10.

Discussion:

By counting the number of terms in the polynomial;

Additionally, the degree of the polynomial is 10.

This is from the term with the highest degree which is; 6st⁹; where s has degree 1 and t has degree 9; total of which is; 10.

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Answer:

120 miles:4 hours

Step-by-step explanation:

Johns made

there are a total of 2 120 mile trips

9 hours = 4 hours + 5 hours (5 hours - 4 hours = 1)

120 miles:4 hours  simplify to 30 miles:1 hour

Answer: this answer is 30 miles per 1hr so it took 4hr for the second trip

HAVE A GOOD DAY

Answer:

It's not a real solution

Step-by-step explanation:

Answer:

f(-x)

Step-by-step explanation:

Answer:

  y = 4

Step-by-step explanation:

The line x=8 is a vertical line. The perpendicular line will be horizontal, with a slope of 0. In order for it to go through the given point, the y-intercept must match the y-value of the point. The equation is ...

  y = 0x +4 . . . . . slope-intercept form with slope explicitly shown as 0

This simplifies to ...

  y = 4

Answer:

where are the statements...

mention the statements first

Statement #1:

Since there are 30 total pizzas then the amount of pizzas with 12 slices is 60% of 30 which is 18. Then you can multiply 18 by 12 to get the amount of slices in the large pizzas with 12 slices:

18 × 12 = 216

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

60% of the pizzas have 12 slices each. In total, there are 216 slices in these pizzas.

Statement #2

There are 12 remaining pizzas which means that 12 × 10 = 120 is the amount of slices in total of the smaller pizzas.

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

40% of the pizzas have 10 slices each. In total, there are 120 slices in these pizzas.

Statement #3

To get the total amount of pizzas you simply add both of the previous solutions:

216 + 120 = 336

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

Altogether, there is a total of 336 slices of pizza.

Answer:

-7j-k-1

Step-by-step explanation:

10k + 17 - 7j -18 -11k

10k-11k

-1k

17-18

-1

-7j-k-1

Answer:

I think it's A

Answer:

.84

Step-by-step explanation:

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▹ Answer

.84

▹ Step-by-Step Explanation

The hundreths place is 2 decimal places so..

.84

Hope this helps!

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