A figure is broken into a rectangle and a triangle. The triangle has a base of 2 and two-thirds feet and height of 3 feet. The rectangle has a base of 5 feet and height of 1 and one-third feet.
The irregular figure can be broken into a triangle and a rectangle as shown with the dashed line.

The length of b, the base of the triangle, is
ft.
The area of the triangle is

The area of the rectangle is

The area of the irregular figure is

Part I: Recalling the "Volume of cone" formula

Given:

Formula (Volume of cone):

[tex]\text{Volume of cone:} \ \dfrac{1}{3} \times \pi \times r^{2} \times h[/tex]

[Where r and h are the radius and the height respectively.]

Part II: Determining the volume of the cone

Substitute their values into the formula to determine the volume of the cone.

    [tex]\implies \text{Volume of cone:} \ \dfrac{1}{3} \times \pi \times (9)^{2} \times (10)[/tex]

∴ Let π be 3.14 ∴

    [tex]\implies\text{Volume of cone:} \ \dfrac{1}{3} \times 3.14 \times (9)^{2} \times (10)[/tex]

Simplify the expression to determine the volume.

    [tex]\implies\text{Volume of cone:} \ \dfrac{1}{3} \times 3.14 \times 81 \times 10[/tex]

    [tex]\implies\text{Volume of cone:} \ 3.14 \times 27 \times 10[/tex]

    [tex]\implies\text{Volume of cone:} \ 31.4 \times 27[/tex]

    [tex]\implies\text{Volume of cone} = 847.8 \ \text{yd}^{3} = \boxed{847.80 \ \text{yd}^{3}} \ \ \ \ \ \ \ \ (\text{Nearest hundredth)}[/tex]

Answer:

Step-by-step explanation:

log(1/2) (32) =x

The  volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)

The formula for calculating the volume of a prism is expressed as

V = lwh

l is the length

w is the width

h is the height

Given the following

l =4x + 0.5

w = 1/2x

h = x - 2

Find the volume

V(x) = (4x+ 0.5)(0.5x)(x - 2)

Hence the  volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)

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#SPJ1

Answer: it’s a

Step-by-step explanation:

Answer:

its 1 chores per hour

Step-by-step explanation:

I did the study

Answer:

800 mph

Step-by-step explanation:

Use the formula: Distance/Time=Speed

Distance: 2840 miles

Time: 3.55 hours

Now Divide,  giving you the speed of 800 mph

Hope this helps!

Answer:

e

Step-by-step explanation:

the coordinates of the midpoint are the average of the coordinates of the endpoints.

let coordinates of C = (x, y ) , then with A = (- 1, 2 ) calculate the average and equate to the coordinates of B (3, 2 )

[tex]\frac{x-1}{2}[/tex] = 3 ( multiply both sides by 2 to clear the fraction )

x - 1 = 6 ( add 1 to both sides )

x = 7

and

[tex]\frac{y+2}{2}[/tex] = 2 ( multiply both sides by 2 )

y + 2 = 4 ( subtract 2 from both sides )

y = 2

coordinates of C = (7, 2 )

Answer:

  missing denominator: 5

  missing numerator: 3

Step-by-step explanation:

You know the product of fractions is formed by multiplying numerators and multiplying denominators.

  [tex]\dfrac{3}{d}\times\dfrac{n}{4}=\dfrac{3n}{4d}=\dfrac{9}{20}[/tex]

This gives rise to two equations:

  3n = 9   ⇒   n = 3

  4d = 20   ⇒   d = 5

The missing denominator is 5; the missing numerator is 3.

__

  [tex]\dfrac{3}{5}\times\dfrac{3}{4}=\dfrac{9}{20}[/tex]

point-slope form: y-y₁=m(x-x₁)

==========

slope-intercept form: y = mx + b

==========

Point slope is written as y - y1 = m(x -x1)

Where x1 and y1 are the given point and m is the slope:

point slope :

Y-2 = 7(x-1)

slope intercept is written as y = Mx + b where m is the slope and b is the y intercept:

musing the slope you have y = 7x + b

Now replace y and x with the given point to solve for b:

2 = 7(1) = b

2 = 7 + b

Subtract 7 from both sides to get b = -5

now replace b in the equation to get:

Y = 7x-5

Answer:

9 inches

Step-by-step explanation:

Formula: ( area of a parallelogram)

area = base × height

_______________

then

base = area/height

        = 18/2

        = 9

Answer:

OPTION B

Step-by-step explanation:

(6,-5)

I HOPE IT HELPED YOU

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

We are given:

t = -11
u = 11
v = 1

Plug in the values to (tv-u) / tv:

((-11)(1) - 11) / (-11)1
(-11-11) / -11
-22 / -11
= 2

Answer:

Let's first find the area of the rectangle/rectangle,

we can do this by combining their lengths as a whole

or

we can individually find their area.

Let's find the area of the individual shapes, upper rectangle;

(using the formula)

A = l x w

Where 'l' represents the length and 'w' stands for the width.

Plug in what you know:-

A = 27(24)

A = 648 square feet is the area of the upper rectangle.

Now, the lower rectangle:

A = l x w

Plug in what you know:-

A = 27(32)

A = 864 square feet is the area of the lower rectangle.

Now we find the area of the triangle beside;

(using the formula)

A = BH x 1/2

Where 'B' represents the base, 'H' the height, and 1/2 means to simply divide the product of those two lengths(base x height) by 2.

Plug in what you know:

A = BH x 1/2

A = 18(32) x 1/2

A = 576 x 1/2

A = 576/2

A = 288 square feet is the area of the triangle beside.

Add up all the areas we've gathered so far:

648 + 864 + 288

= 1,800 square feet is the area of the patio

Answer:

Let's first find the area of the rectangle/rectangle,we can do this by combining their lengths as a wholeorwe can individually find their area.Let's find the area of the individual shapes, upper rectangle;(using the formula)A = l x wWhere 'l' represents the length and 'w' stands for the width.Plug in what you know:-A = 27(24)A = 648 square feet is the area of the upper rectangle.Now, the lower rectangle:A = l x wPlug in what you know:-A = 27(32)A = 864 square feet is the area of the lower rectangle.Now we find the area of the triangle beside;(using the formula)A = BH x 1/2Where 'B' represents the base, 'H' the height, and 1/2 means to simply divide the product of those two lengths(base x height) by 2.Plug in what you know:A = BH x 1/2A = 18(32) x 1/2A = 576 x 1/2A = 576/2A = 288 square feet is the area of the triangle beside.Add up all the areas we've gathered so far:648 + 864 + 288= 1,800 square feet is the area of the patio

Step-by-step explanation:

Answer:

1)  46.64

2)  17.75

3)  414.69

Step-by-step explanation:

13^2 -5^2=sqrt2172=46.64

22^2-13^2=sqrt315=17.75

V=πr2h

11/3=π·62·11

11/3≈414.69

Answer:

-14,-17

I hope this is useful

The data shows a person from regions such as Northern Europe, Middle East 2, and East Africa will have a high dairy tolerance.

This is characterized by unpleasant symptoms when the body doesn't produce enough lactase to digest the lactose consumed.

From the data, the regions which shows high dairy tolerance are those from Northern Europe, Middle East 2, and East Africa.

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Answer:

The cost of one shirt is $20.75.

Step-by-step explanation:

Total Cost/3 Shirts = The Cost of 1 Shirt

62.25/3 = 20.75

Let the vertices of the prism be A, B, C, D, E, F, G, and H. (Refer to image).

From the image, we can tell that the faces of the prism are:

ABFG    HDCE     FBCE     GADH     GFEH    ABCD

Surface area formula:

[tex]\text{Surface area = Sum of the area of it's faces}[/tex]

The faces are ABFG, HDCE, FBCE, GADH, GFEH, and ABCD (Previous Part)

[tex]\implies \text{SA = A(ABFG) + A(HDCE) + A(FBCE) + A(GADH) + A(GFEH) + A(ABCD)}[/tex]

If we look at the prism carefully, we can tell that:

ABFG = DCEH

GADH = FBCE

GFEH = ABCD

Therefore, the new equation is:

[tex]\implies \text{SA = 2[A(ABFG)] + 2[A(GADH)] + 2[A(GFEH)]}[/tex]

If we look carefully, we can see that GADH and ABFG are rectangles. Therefore, their areas will be length multiplied by width. Now, substitute the dimensions of the rectangles in the surface area.

[tex]\implies \text{SA} = 2[4 \times 4] + 2[2.5 \times 4] + \text{2[A(GFEH)]}[/tex]

The area of a parallelogram is the base multiplied by the height.

[tex]\implies \text{SA}= 2[4 \times 4] + 2[2.5 \times4] + 2[4 \times 2]}[/tex]

Finally, simplify the equation to determine the surface area.

[tex]\implies \text{SA} = 2[16] + 2[10] + 2[8][/tex]

[tex]\implies \text{SA} = 32 + 20 + 16[/tex]

[tex]\implies \boxed{\text{SA = 68 m}^{2} }[/tex]

Answer:

(2,-3)

Step-by-step explanation:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and the signs are changed.

(-2, 3)

Hope it helps.

Do comment if you have any query.

Answer:

Step-by-step explanation:

39° cus if it's 146° in one set the other degree in other set parallel to it will be 39°

hope it helps...!!!!

If the hotel grants Marnie an increase in her hourly wage from $14 per hour to $20 per hour. Her respond is: She will increase her work hours.

Wages can simply be defined as the money earn per hour or money earn on a daily basis for work done.

Assuming her wages was increase from $14 per hour to $20 per hour. Marie will have to increase her work hours if the increase in wage of the amount of $20 is positive as this will enable are to earn more money .

Therefore Marnie will increase her work hours.

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The product of the factors are;

[tex]\rm(6-3i)(6+3i)=6^2+3^2=36+9 = 45\\\\ (4 -5i)(4 +5i) = 4^2+5^2=16+25=41\\\\(-3+8i)(-3-8i)=(-3)^2+8^2=9+64=73[/tex]

Multiplication is the process of calculating the product of two or more numbers.

The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a multiplied by ‘b’.

The multiplication of the given factors finding by using the following formula.

[tex]\rm (a-ib)(a+ib)=a^2+b^2[/tex]

Applying the formula in the given factors;

[tex]\rm (a-ib)(a+ib)=a^2+b^2\\\\(6-3i)(6+3i)=6^2+3^2=36+9 = 45\\\\ (4 -5i)(4 +5i) = 4^2+5^2=16+25=41\\\\(-3+8i)(-3-8i)=(-3)^2+8^2=9+64=73[/tex]

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Step-by-step explanation:

That's a rare Halo II angel bear, especially since it has a brown nose. Don't sell it less than $40, you can check prices on many websites

Answer:

$38÷6

for five adult and two children

$55÷7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the answer is = a) 480 cm³