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A rectangular prism has how many flat surfaces?

Given:

The figure of triangle GHI and a circle M inscribed in the triangle.

To find:

The perimeter of the triangle.

Solution:

We know that the lengths of the tangent on a circle from same exterior point are always equal.

[tex]JH=HK[/tex]             (Tangent from point H)

[tex]6x-11=2x+9[/tex]

[tex]6x-2x=11+9[/tex]

[tex]4x=20[/tex]

Divide both sides by 4.

[tex]x=\dfrac{20}{4}[/tex]

[tex]x=5[/tex]

Now,

[tex]JH=6x-11[/tex]

[tex]JH=6(5)-11[/tex]

[tex]JH=30-11[/tex]

[tex]JH=19[/tex]

In the same way,

[tex]GJ=GL[/tex]             (Tangent from point H)

[tex]IK=IL[/tex]             (Tangent from point H)

From the figure, it is clear that,

[tex]IL=GI-GL[/tex]

[tex]IL=40-GJ[/tex]

[tex]IL=40-23[/tex]

[tex]IL=17[/tex]

The perimeter of the triangle GHI is:

[tex]Perimeter=GH+HI+GI[/tex]

[tex]Perimeter=(GJ+HJ)+(HK+IK)+(GL+IL)[/tex]

[tex]Perimeter=(23+19)+(19+17)+(23+17)[/tex]

[tex]Perimeter=118[/tex]

Therefore, the perimeter of the triangle GHI is 118 units.

Answer:

In economics, a portfolio is a term for a specific set of stocks, bonds, shares, and other securities owned by an investor. In general, the investor seeks to compile and diversify a portfolio of securities that offers maximum profitability and at the same time is diverse, in order to minimize possible risks. In general, these types of portfolios are considered efficient, as they do not leave the investment risk tied to a single factor. However, these two goals often go against each other, so the composition of the portfolio means a certain compromise.

Answer:

Area of trapezoid = 262.5 inches²

Step-by-step explanation:

Given:

Larger Base = [tex]36\frac{1}{2}[/tex] inches = 36.5 inches

Smaller Base = [tex]13\frac{1}{2}[/tex] inches = 13.5 inches

Height of trapezoid =  [tex]10\frac{1}{2}[/tex] inches = 10.5 inches

Find:

Area of trapezoid

Computation:

Area of trapezoid = [Sum of parallel line / 2]Height

Area of trapezoid = [(a+b) / 2]h

Area of trapezoid = [(36.5 + 13.5) / 2]10.5

Area of trapezoid = [(50) / 2]10.5

Area of trapezoid = [25]10.5

Area of trapezoid = 262.5 inches²

Answer:

choice 2) 2/9h

Step-by-step explanation:

It has to be a fraction so you would cross out the first answer.

Answer:

132

Step-by-step explanation:

28(top rectangle) + 56 (middle rectangle)+ 48 ( which is the combined area of the two triangles) = 132

Answer:

i think there is no solution

Answer:

since the lengths are consecutive odd numbers and the perimeter of the triangle is 51cms. Let x be the unknown length.

so 3x=51 ; x=17 . now the sides can be 15cms, 17cms, 19cms.

check Add them up it is 51cms  which is the perimeter and the consecutive odd numbers

Answer:

didbkbbasbm jdndjd kkkfnms kkkcd

Answer:

D) 8:15

The first thing you do is add up all the apples which equals 15. And then you see how many red apples there are which is 8. Then you write your ratio which is 8:15.

Your answer is D) 8:15

Answer:

1/4

Step-by-step explanation:

Answer:2045

Step-by-step explanation:

Answer:

2045

Step-by-step explanation:

Answer:

$80

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 units squared.

Explanation:

You can go about this in two ways: Algebra and Integrals.

Algebra

y = 2x-6 is linear, thus if we take the value over the x interval [2,4] we can use geometry to calculate the area.

graph{2x-6 [-2.27, 7.73, -2.18, 2.82]}

You can see two triangles in the graph (you could also find this algebraically). Thus, you can calculate the area.

=

2

⋅

(

1

2

⋅

b

⋅

h

)

=

2

⋅

(

1

2

⋅

1

⋅

2

)

=

2

square units

Integrals

An integral gives the area under the curve. Remember though that if a function goes below the X axis, the integral is negative Thus you have to do two separate integrals based on the X intercept.

finding the X intercept (that is where y = 0)

2

x

−

6

=

0

x

=

3

when

y

=

0

When

x

<

3

, then y is negative. Thus, we have to find the negative integral from 2 to 3 and the positive integral from 3 to 4

=

−

∫

3

2

2

x

−

6

d

x

+

∫

4

3

2

x

−

6

d

x

=

−

[

x

2

−

6

x

]

3

2

+

[

x

2

−

6

x

]

4

3

=

−

[

9

−

18

−

4

+

12

]

+

[

16

−

24

−

9

+

18

]

=

−

[

−

1

]

+

[

1

]

=

2

units squared. And Tada, that is the same as the other answer!

Using integrals, it is found that the area of the function is of 6 squared units.

The area of a function f(x) over an interval [a,b] is given by:

[tex]A = \int_{a}^{b} f(x) dx[/tex]

In this problem:

[tex]A = \int_{-4}^{2} 2x + 3 dx[/tex]

[tex]A = x^2 + 3x|_{x = -4}^{x = 2}[/tex]

[tex]A = 2^2 + 3(2) - [(-4)^2 + 3(-4)][/tex]

[tex]A = 4 + 6 - 4[/tex]

[tex]A = 6[/tex]

The area is of 6 squared units.

A similar problem is given at https://brainly.com/question/20733870

Answer:

Less likely

Step-by-step explanation:

The only prime numbers on the circle are 2 and 7, meaning they take up 3/8 spaces which is less than half.

Answer:

288

Step-by-step explanation:

8 x 3 x 3 x 6 = 288

Answer:

The volume of the bookcase is 16 cubic feet.

Step-by-step explanation:

Hey there!

We are given three values (in feet) and asked to find the volume of a bookcase:

We want to find the volume. In order to do this, we need to define:

Therefore, the formula for volume is: [tex]v = l \times w \times h[/tex]

Finally, we need to assign each number value to either the length, the width, or the height.

Wide is a synonym for width, so our width is 2 feet.

Deep is another way of saying the space inside of the bookshelf, which would be the length (1 foot).

High would refer to how tall something is, so the height is 8 feet.

Now, let's plug in our values and solve for [tex]v[/tex].

It's important to note that since we are finding volume, our measurement of feet becomes cubic feet.

Therefore, the volume of the bookcase is 16 cubic feet.

Answer:

300'

Step-by-step explanation:

Answer:

1/8 mile

Step-by-step explanation:

Because if you do the math the avarge car is 4.7 feet multiply that by 20 and there is your answer

(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:

180 - (70 + 70) = 180 - 140 = 40

40° is your answer.

m∠X = 40°

(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:

180/3 = 60

60° is your answer.

m∠V = 60°

~

Answer:

x = 72.5

Step-by-step explanation:

half of the angle given, so 72.5 degrees.

Answer:

B, C, E

Step-by-step explanation:

Answer:

C and B

Step-by-step explanation:

The sign means greater than or equal to. -4 is greater than -5, so check that, 5 is definitely greater than -5, so check that.

125

Step-by-step explanation:

Surface area is the total area of all the surfaces of a shape. In order to calculate the surface area we need to consider each unique face individually.

The base of the pyramid is a square of side-length 5, and its area is 5×5=25

The side faces form an iscosoles triangle of height 10 and base length 5, its area is 10×5×=25.

The total surface area = Triangle +Triangle +Triangle +Triangle +Square = 25+25+25+25+25 = 125

Answer:

x=-3.5

Step-by-step explanation:

14/-4 = -3.5

Answer:

If you're asking how -4x could equal 14, here's how:

Substitute -3.4 for x, so -4x-3.5, which would equal 14.

Answer:

11

Step-by-step explanation:

1/3 nr^2h = volume of a cone

1/3 x 22/7 x 14 x r^2 = 440

r^2 = 440 x 3 x 7/22 x 1/14

r^2 = 30

r = 30

r = 5

The base diameter to the nearest whole number is 11cm

The formula for calculating the volume of a cone is expressed as:

V =1/3πr²h

Given the folllowing parameters

V = 440cm^3

h = 14cm

Substitute the given parameters

440 = 1/3(22/7) * 14r²

440 = 44/3 * r²

10 = r²/3

r² = 30

r = 5.5cm

d = 11cm

Hence the base diameter to the nearest whole number is 11cm

LEarn more on volume of cone here; https://brainly.com/question/1082469

Answer:

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

56 divided by 2 would be 28.

Step-by-step explanation:

[tex]\frac{56}{2}[/tex] is the same thing as half of 56, since two 28s added together is 56, which means [tex]\frac{56}{2}[/tex] is equivalent to 28.

Answer:

B

Step-by-step explanation:

Anything to the 0 power is 1

Answer:

15y>36+9

15y>45

y>45^15

y>3

Answer: x=256

Step-by-step explanation: Hope this help :D

Let's solve your equation step-by-step.

−5/8x

=−160

Step 1: Multiply both sides by 8/(-5).

(8/-5)*(−5/8x)=(8/−5)*(−160)

X=256