The figure below is made up of Prism A and Prism B.

Prism A is 1 rectangular block. Prism A has a length of 5 centimeters, a width of 2 centimeters, and a height of 4 centimeters.

Prism B is made up of cubes, each measuring 1cubic centimeter.

Write an expression that would find the total volume of the figure, in cubic centimeters.
Then, find the total volume of the figure, in cubic centimeters.

Answer:

187.5

Step-by-step explanation:

!

Answer:   8 (Pi - sqrt(3))

Discussion:

The area of the shaded region is that of the semicircle minus the area of the triangle..

Area of semicircle = 1/2 * Pi * R^2        

    Where R^2 is the square of the radius of the circle. In our case, R ( = OC)

     = 4 so the semicircle area is

    (1/2) * Pi * (4^2) = (1/2) * Pi * 16 = 8 Pi

Area of triangle.

   First of all, angle ACB is a right angle ( i.e. 90 degrees).

     * This is the Theorem of Thales from elementary Plane Geometry. *

  so by Pythagoras

    AC^2 + BC^2 = AB^2

 But CB = 4 (given) and AB = 4*2 = 8 ( the diameter is twice the radius).

 Substituting these in Pythagoras gives

    AC^2 + 4^2 = 8^2 or

    AC^2 = 8^2 - 4^2- = 64 - 16 = 48

    Hence AC = sqrt(48) = sqrt (16*3) = 4 * sqrt(3)

We are almost done! The area of the triangle is given by

   (1/2) b * h = (1/2)  BC * AC = (1/2) 4 * (4 * sqrt(3)) =  8 sqrt(3)

We conclude the area area of the shaded part is

  8 PI - 8 sqrt(3)   = 8 (Pi - sqrt(3))

Note that sqrt(3) is approx  1.7 so (PI - sqrt(3)) is a positive number, as it better well be!

Answer:

see explanation

Step-by-step explanation:

B represents the area of the base

B = 12 × 2 = 24 cm²

h represents the height and in this prism h = 9 cm

V = Bh = 24 × 9 = 216 cm³

Answer:The variable B stands for the (1)

In this prism, B equals in.2. (1)

The variable h stands for (2)

In this prism, h is  in. (2)

The volume of the prism is (3)

Step-by-step explanation: hope you live good! (I got bored with hope this helps In case you were wondering)

Answer:

Reflection over the y axis

Step-by-step explanation:

You can picture this graph on a piece of paper.  If you fold the paper over the y axis/ the line in the middle, T would map onto T', S onto S' and R onto R'.  This is a reflection

Answer:

1. Doncastle

2. Olly

3.

4. thousand

5. 123

231

321

213

132

213

6. 3.45

Step-by-step explanation:

I hope my answer was the brainliest

Answer:

1) Doncastle

2) Olly

3) 2, 9.5, 15, 17, 18, 21, 22

4) 7000

5) 123, 132, 231, 321, 213, 312

6) 3.45

Answer:

[tex]n=-4.5m[/tex]

Step-by-step explanation:

solve for n so that m becomes the independent variable

[tex]-2m-5n=7m-3n[/tex]

[tex]-5n=9m-3n[/tex]

[tex]-2n=9m[/tex]

[tex]n=-4.5m[/tex]

Answer:

Model: [tex]y = 14t+\frac{1}{2}(32.16)t^{2}[/tex]

The dog land on the ground after 0.8706 seconds.

Step-by-step explanation:

The model that said the height of the dog above the ground is a model of uniform acceleration motion, so it is:

[tex]y = y_0+v_0t+\frac{1}{2}gt^{2}[/tex]

Where [tex]y_0[/tex] is the initial height, [tex]v_0[/tex] is the initial velocity and [tex]g[/tex] is the gravity.

So, replacing [tex]y_0[/tex] by zero, [tex]v_0[/tex] by 14 feet per second and [tex]g[/tex] by [tex]32.16 ft/s^2[/tex], we get that the model  for the height of the dog above the ground is:

[tex]y = 14t+\frac{1}{2}(32.16)t^{2}[/tex]

Then, the time t when the dog land on the ground is calculated replacing [tex]y[/tex] by zero and solving for t as:

[tex]y = 14t+\frac{1}{2}(32.16)t^{2}\\0 = 14t+\frac{1}{2}(32.16)t^{2}\\0 =t (14 - 16.08t)[/tex]

Now, we have two possible solutions:

[tex]t=0[/tex] or [tex]14-16.08t=0[/tex]

Taking into account that t=0 is the time when the dog leaps into air, the time when the dog land on the ground is equal to 0.8706 seconds and it is calculated as:

[tex]14-16.08t=0\\14=16.08t\\\frac{14}{16.08}=t\\t=0.8706[/tex]

Answer:

77

Step-by-step explanation:

10%=11

because you divide 110 by 10.

Then i would multiply that by 3, giving you 33

110-33=77

The sale price of an item normally priced at £110 is £77.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that all items are reduced by 30% on a sale.

An item that normally priced at £110 reduced by 30%.

So, 30 percentage of £110

= 30% of £110

= 110×30/100

= 3300/100

= 33.

Therefore, the sale price of an item normally priced at £110 is £77.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ2

Answer:

A. Opaque materials

B. Transparent materials

C. Translucent and Opaque materials

D. Transparent and Translucent materials

Answer:

304 pi in ^2

Step-by-step explanation:

The surface area of a cylinder is given by

SA  = 2 pi r^2 + 2 pi rh  where r is the radius and h is the height

SA = 2 * pi * 8^2 + 2 * pi * 8 * 11

SA = 128 pi + 176 pi

SA =304 pi

Answer: 304 pi

Step-by-step explanation:

Answer:

72,80,80,86,88,92,94,98,100

Step-by-step explanation:

Answer:

72,80,80,86,88,92,94,98,100

Step-by-step explanation:

72,80,80,86,88,92,94,98,100

The answer is above.

Least to greatest in order

Hope this helps.

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

6x^2y − 3xy − 24xy^2 + 12y^2

Apply exponent rule:

6x^2y-3xy-24xyy+12yy

Rewrite 12 as 4*3

Rewrite -24 as 8*3

Rewrite 6 as 2*3

2*3x^2y-3xy+8*3xyy+4*3yy

Factor out common term 3y:

3y(2x^2-x-8xy+4y)

Factor 2x^2-x-8xy+4y:

3y(2x-1)(x-4y)

Your Answer Is 3y(2x-1)(x-4y)

plz mark me as brainliest if this helped :)

The factor of 6x²y − 3xy − 24xy² + 12y² is 3y(2x - 1)(x - 4y)

Given:

6x²y − 3xy − 24xy² + 12y²

find the highest common factor of all the coefficient of each term

6 = 1, 2, 3, 6

6 = 1, 2, 3, 63 = 1, 3

6 = 1, 2, 3, 63 = 1, 324 = 1, 2, 3, 4, 6, 8, 12, 24

6 = 1, 2, 3, 63 = 1, 324 = 1, 2, 3, 4, 6, 8, 12, 2412 = 1, 2, 3, 4, 6, 8, 12

The highest common factor of all the coefficient of each term is 3

So,

6x²y − 3xy − 24xy² + 12y²

= 3y(2x² - x - 8xy + 4y)

(2x² - x - 8xy + 4y) = (2x - 1)(x - 4y)

Therefore,

6x²y − 3xy − 24xy² + 12y = 3y(2x - 1)(x - 4y)

Read more:

https://brainly.com/question/16504783

Answer:

Step-by-step explanation:

B

Answer:

B

This is true because the value increases from the initial value.

So it is 109%

So you multiply by 1.09

Answer:

17

Step-by-step explanation:

I got this right on a test i did 4 days ago

Answer:

A   4

Step-by-step explanation:

the given numbers round off to 11 and 3.  11/3 is a bit less than 4.  Answer A (4) is the best approximation of the answers given.

Answer:

4

Step-by-step explanation:

KFC

first convert it into improper fraction

56/5 divided by 11/4

then do KFC

56/5 times 4/11

224/55

then you divide 224 by 55

which gives you 4

Answer:

13.5 rounding

Step-by-step explanation:

PEMDAS

-128/2=-64

-64/42=-1.5

-12-1.5=13.5

Answer:

x = 2 +  √ 42 ,  2  −  √ 42

Decimal Form:

x = 8.48074069 ,  − 4.48074069

Step-by-step explanation:

Solve the equation for  x  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula.

Answer:

restless and nervous (not sure doe)

Step-by-step explanation:

I did the quiz! <3

Answer:

Restless and Nervous.

Step-by-step explanation:

I did the quiz and got it right.

Answer:$90,000

Step-by-step explanation:

3,000*30=90,000

Answer: 90k

Step-by-step explanation:

3k per day x 30 days

Answer:

7 terms

Step-by-step explanation:

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. ... Examples of single terms: 3x is a single term.

Answer:

its 4 terms

the coefficients are numbers combined with the variable and 4 is also a term

Answer:

Drawing out the quadrants cos of an angle is negative in the third quadrant. Your drawing should indicate that x and y are negative. Then since we  are working with a right triangle, again your diagram should indicate that. Determine the value of the third side. You know one is - 6 and the other opposite the 90 degree angle, the hypotenuse is 10.   cos of an angle is adjacent divided by the hypotenuse.

I hope this helps if it did not help use this

cosine is negative in Quadrant III.

Use a pythagorean theorem to find the other leg.  a2 = c2 - b2

adjacent leg = √(102 - 82)

cos θ = -6/10

Answer:

a) 48

b)

c) 13, 23, 43,

Step-by-step explanation:

since i helped you with a and c, try and figure out b on your own.

i will give you a link if you want it so you can watch a video on how to find square numbers

Answer:

a) 48

b) 81

c) 13, 23, 43

Step-by-step explanation:

[tex]\sqrt{81} =9[/tex]

Answer:

The graph of the function is negative on (3,0)

Step-by-step explanation:

The limiting behavior of a function describes how a function behaves as x ⇒ ±∞. Its behavior is determined by the degree of a polynomial and the sign of its leading coefficient.

Since the function [f(x)] is an even degree polynomial with negative leading coefficient, then f(x) ⇒ -∞ as x ⇒ ±∞. The graph of the function is negative at the root. Since it has a root of 3, The graph of the function is negative on (3,0)

Answer:

The graph of the function is negative on (3, infinity) The answer is D

Step-by-step explanation:

Answer:

Step-by-step explanation:

3a - 5 = -4b + 1

3a = -4b + 6

a = (-4b + 6)/3

h(a) = (-4b + 6)/3

Answer:

h(a) = [tex]\frac{6-3a}{4}[/tex]

Step-by-step explanation:

Given

3a - 5 = - 4b + 1

Rearrange making b the subject

Add 4b to both sides

4b + 3a - 5 = 1 ( add 5 to both sides )

4b + 3a = 6 ( subtract 3a from both sides )

4b = 6 - 3a ( divide both sides by 4 )

b = [tex]\frac{6-3a}{4}[/tex] , thus

h(a) = [tex]\frac{6-3a}{4}[/tex]

Answer:

x = -5/3

-1.667

Step-by-step explanation:

Answer:

20in^2

Step-by-step explanation:

Since you multiply the original area of the triangle by the scale factor to get the new area, you can find the original area (before dilation) by dividing the dilated triangle's area by the scale factor. Since 100 is the area of the dilated triangle, and 5 is your scale factor, you do 100/5 to get the area of the triangle before it was dilated.

Answer:

60

Step-by-step explanation:

Answer:

(a) 12π in

(b) 53.5 in

(c) 96 grams

Step-by-step explanation:

In the figure attached, the ornament is shown

(a) four three-quarter circles is equivalent to 4*3/4 = 3 circles. The perimeter of a circle is the total length of the circular portions.

Perimeter of each circle: 2*π*r

The radius is 2 in long, then for 3 circles:

Perimeter = 3*2*π*2 = 12π in

(b) Perimeter of square: 4*side length

The side length of the square is 4 in, then:

Total length of wire needed = 4*4 + 12π = 53.5 in

(c) The wire weighs 1.8 grams per inch, then:

total weight of the ornament = 1.8 grams/in * 53.5 in = 96 grams

Answer: —20.7

Step-by-step explanation: Got it right the assignment

Answer:

-20.7

Step-by-step explanation:

did the assignment and got it right good luck <3