Find the volume of the figure. Round your answers to the nearest tenth. It is recommended you use the π button on your calculator to solve.

Answer:

rate of interest per annum 8% step by step

Step-by-step explanation:

C.i is 1458 - 1250 = 208

there fore C.i = p [ C1 +r / 100 ) ^2_ 1

hope this help u

[tex]\\ \sf\longmapsto \sqrt{11+2^230}[/tex]

[tex]\\ \sf\longmapsto \sqrt{11+4(30)}[/tex]

[tex]\\ \sf\longmapsto \sqrt{11+120}[/tex]

[tex]\\ \sf\longmapsto \sqrt{131}[/tex]

[tex]\\ \sf\longmapsto 11.3[/tex]

Answer:

x is the number of $1 increase in the price.

If there is no increase, then the total money earned is

2 × 70 = 140

If there is $1 increase, then the total money earned is

(2 + 1) × [70 - 8(1)]

If there is $2 increase, then the total money earned is

(2 + 2) × [70 - 8(2)]

If we continue the pattern, for x times $1 increase, total money earned is

(2 + x)(70 - 8x) = -8x^{2} +54x+140−8x2+54x+140

If we substitute x = 0 in the above equation, we will get

the total money earned = $140.

It means if there is no increase, then the total money earned = 140.

Hence, 140 is the constant term and it represents that there is no increase in price.

Answer:

v = pi x r^2 x h

3.14 x 16 x 5 =251.2

hope that answers your question

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

Explanation:

Let's add angle c to the diagram such that it's adjacent to angle b, and inside the quadrilateral. Notice how angle c is opposite the 100 degree angle of this inscribed quadrilateral.

For any inscribed quadrilateral, the opposite angles are supplementary

c+100 = 180

c = 180-100

c = 80

Angles b and c are supplementary as well, because they form a straight line.

b+c = 180

b+80 = 180

b = 180-80

b = 100

In short, angle b is the same measure as that 100 degree angle in the diagram.

Step-by-step explanation:

Hi there!

From the above figure;

Let "x" be an unknown angle.

Then;

100° + X = 180°. { The opposite angles of cyclic quadrilateral is supplementary}

X = 180°-100°

Therefore, X= 80°.

Now;

X+b = 180°. {linear pair}

80° + b = 180°

Therefore, b = 100°.

[Next method:

b = 100° {When any side of cyclicquadrilateral is extended the external angle is equal to opposite interior angle.]

Hope it helps.

Answer:

1/4

Step-by-step explanation:

x^2 - x

Take the coefficient of x

-1

Divide by 2

-1/2

Square it

(-1/2)^2 = 1/4

Add it

x^2 -x +1/4

Answer:

Step-by-step explanation:

The question has an error. Volume is expressed in cubic units. You probably mean cm³ .

Volume = 8 cm³

Length of each edge = ∛8 = 2 cm

Answer:

2cm

Step-by-step explanation:

Volume of cube=a^3 cubic units

8=a^3

a=cuberoot of 8

which is 2

Answer:

29 losses in 49 games.

Step-by-step explanation:

The number of games that they lost in the first 12 = 12 - 5 = 7

7/12 = x / 49           Multiply both sides by 49

7*49 / 12 = x

x = 343/12

x = 28.5833

What do you do with the 0.5833? I would say round up to 29.

Answer:

1 inch= 20 miles. 5*20=100 miles. The answer is 100 miles.

Step-by-step explanation:

On these types of questions just do that every time, then you don't need to ask, for example:

1 foot = 50 miles

If it measures 3 feet.

3*50=150 miles.

If you have any questions regarding my answer, tell me in the comments, and I will answer them.

Answer:

f(x)=11+7√x

f'(x)=7/(2x^(1/2))

putting x=1

f'(1) = 7/(2×1^(1/2))

= 7/2 = 3.5

putting x=2

f'(2) = 7/(2×2^(1/2))

= 7/(2×√2)

= 7√2/4

= 2.47 (rounded to the nearest hundredth)

f'(3) = 7/(2×3^(1/2))

= 7/(2×√3)

= 7√3/6

= 2.02 (rounded to the nearest hundredth)

Answer:

b=7

Step-by-step explanation:

5a(2b – 3a) = 40

Let a=4

5*4(2b-3*4) = 40

20(2b-12) = 40

Divide each side by 20

20/20 (2b-12) = 40/20

2b-12 =2

Add 12 to each side

2b-12+12 = 2+12

2b = 14

Divide by 2

2b/2 = 14/2

b = 7

Step-by-step explanation:

[taking alpha = a]

L.H.S.

(1-sin⁴a)/cos⁴a

= 1/cos⁴a-sin⁴a/cos⁴a

= sec⁴a-tan⁴a

= (sec²a+tan²a)(sec²a-tan²a)

= (1+tan²a+tan²)(1) [as sec²a=1+tan²a]

= 1+2tan²a

= R.H.S. [Proved]

Answer:

5

Step-by-step explanation:

(45 + x) / 2

add 45 to a certain number and divide the sum by 2

= 5 × x

is 5 times the number

(45 + x)/2 = 5x

45 + x = 10x

45 = 9x

x = 5

Answer:

5%

Step-by-step explanation:

so, for 3 questions he has a 1 in 4 chances to get it right.

4³ chances, so a 1/4³ probability.

and he has one other question with a 3 in 4 chance to get it wrong.

a 3/4 probability.

that is in total

1/4³ × 3/4 = 3/4⁴

and now we have 4 over 3 combinations as possibilities to get 3 right and 1 wrong.

that is 4! / (3! × (4-3)!) = 4

so our total probability is

4 × 3/4⁴ = 3/4³ = 3/64 ≈ 0.05 = 5%

in other words, the expected quote for him to achieve that result is in 5 out of 100 (or 1 out of 20) attempts.

Answer:

sinθ = 125/356

cscθ = 356/128

cotθ = 8/3

Step-by-step explanation:

First, we must find the hypotenuse

8² + 3² = c²

64 + 9 = c²

73 = c²

Square root both sides

√73 = √c²

c = 8.544

Let's find sinθ

sinθ = opposite/hypotenuse = 3/8.544 = 125/356

cscθ is sinθ but flipped, so it is 8.544 = 356/128

cotθ is tanθ but also flipped, so it is 8/3

Answer:

17) 750/9 and 18) 364

Step-by-step explanation:

17. Summation of 75*(0.1)^i from i=0 to infinity, that is equal to 75*(Summation of (0.1)^i). Summation of (0.1)^I is a geometric series with a sum of 1/(0.9)=10/9. Hence the series have a sum equal to 75*(10/9)=750/9

18) It's a series with sum=1+3+9+27+81+243=364

Answer:

If the total perimeter of square is 48 cm, then the length of one side is equal to 48 divided by 4, since all sides of a square are the same.

So, the correct answer is 12.

Let me know if this helps!

The length of each side is 12cm.

Explanation:

The perimeter of a square is calculated by the formula:

P = 4a , where  P = perimeter, and a = length of any side, all sides being equal in a square.

From the given data we write:

48 = 4a

Divide both sides by

4.12 = a

The length of each side is 12cm.

Answer:

Step-by-step explanation: h(t) = -16t2 + 144

h(1) = -16(12) + 144 = 128 ft

h(2) = -16(22) + 144 = 80 ft

h(2) - h(1) = 80 - 128 = -48 ft

It fell 48 ft between t = 1 and t = 2 seconds.

It reaches the ground when h(t) = 0

0 = -16t2 + 144

t = √(144/16) s = 3s

It reaches the ground 3s after being dropped.

The 8 will end up in the "ones place".

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the 8 will end up in which place

A negative divided by a negative is positive, then;

2380/ 10 = 238

Therefore, The 8 will end up in the _ ones_ place.

Learn more about division here:

brainly.com/question/26411682

#SPJ2

9514 1404 393

Answer:

  c.  $0.08

  fee = $50

Step-by-step explanation:

We are given two ordered pairs:

  (minutes, charges) = (150, 62) and (175, 64)

The slope of the graph of charges is ...

  m = (y2 -y1)/(x2 -x1) = (64 -62)/(175 -150) = 2/25 = 0.08

The charge for each minute is $0.08.

__

The y-intercept of the graph can be found from ...

  b = y -mx

  b = 62 -150(0.08) = 62 -12 = 50

The fixed monthly fee is $50.

Answer:

V≈50.27cm³

Step-by-step explanation:

Using the formulas

V=πr2h

3

l=r2+h2

Solving forV

V=1

3πr2l2﹣r2=1

3·π·42·52﹣42≈50.26548cm³

If sides are

[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]

[tex]\\ \sf\longmapsto Perimeter=9+4.5+12[/tex]

[tex]\\ \sf\longmapsto Perimeter=13.5+12[/tex]

[tex]\\ \sf\longmapsto Perimeter=25.5cm[/tex]

[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\purple{Perimeter\:_{(Triangle) \: \large= \large\:Sum \: of \: all \: sides}}}}}}\end{gathered}[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:9 \: cm \: + \: 4.5 \: cm \: + \: 12 \: cm[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:13.5 \: cm \: + \: 12 \: cm[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:25.5 \: cm[/tex]

Hence , the perimeter of triangle is 25.5 cm

Answer:

The percent of the increase for the money the class raised is 10 %

Step-by-step explanation:

Because if you divide 1500 by 10 you get 150 that means 150 is 10 % of 1500 and if you add 150 to 1500 you get 1650 so the increase of money the class raised is 10 %

9514 1404 393

Answer:

  240 m²

Step-by-step explanation:

The lateral surface area is given by the formula ...

  LA = πrs . . . . . cone with radius r and slant height s

The base area is given by the formula ...

  BA = πr²

The total surface area is the sum of these:

  SA = BA +LA = πr² +πrs = πr(r+s)

The radius is half the diameter, so is 9m/2 = 4.5 m. Then the surface area is ...

  SA = π(4.5 m)(4.5 m +12.5 m) = 76.5π m² ≈ 240 m²

Answer:

1: A. 448 2: 209 pi cm^2 3: D. 351 m^2 4. B 240 cm^2 5. C. 561.1 cm^2

Step-by-step explanation:

just took the test!!!

Here, we are required to find the area of the paper board given after the semicircle is cut out of it

Area of the paper board that remains is 423 in²

Length = 29 in

Width = 20 in

Area of a rectangle = length × width

= 29 in × 20 in

= 580 in²

Area of a semi circle = πr²/2

π = 3.14

r = diameter / 2 = 20 in / 2 = 10 in

Area of a semi circle = πr²/2

= 3.14 × (10 in)² / 2

= 3.14 × 100 in² / 2

= 314 in²/2

= 157 in²

The semicircle is cut out of the rectangle

Find the area of the paper board that remains after the semicircle is cut out of it by subtracting the area of a semi circle from the area of a rectangle

Area of the paper board that remains = Area of a rectangle - Area of a semi circle

= 580 in² - 157 in²

= 423 in²

Read more:

https://brainly.com/question/16994941

Answer:

he needs $279

Step-by-step explanation:

715-436= 279

Answer:

y = -2x - 1

Step-by-step explanation:

Plug in the slope and given point into slope intercept form, y = mx + b, and solve for b:

y = mx + b

-3 = -2(1) + b

-3 = -2 + b

-1 = b

Plug in the slope and y intercept into y = mx + b:

y = mx + b

y = -2x - 1

So, the equation of the line is y = -2x - 1

Answer:

(1) 16 x 14 x 10 Room: 2240 ft^3.

(2) How much greater the 18 x 16 x 10 Room is: 640 ft^3.

Step-by-step explanation:

To find the volume of a given space, all we need to do is multiply length*width*height. In this case, the values are 16*14*10, which equals 2240 ft^3.

The changed design would have a volume of 18*16*10, which would equal 2880 ft^3.

To find the difference in volume between the two rooms, all we have to do is subtract the smaller room from the bigger room. 2880 - 2240 = 640 ft^3.

Answer:

Use identities:

Simplify:

Identity used:-

[tex]\boxed{\sf (a+b)^2=a^2+b^2+2ab}[/tex]

Now

[tex]\\ \sf\longmapsto (x+(3+5i))^2[/tex]

[tex]\\ \sf\longmapsto x^2+2x(3+5i)+(3+5i)^2[/tex]

[tex]\\ \sf\longmapsto x^2+6x+10xi+3^2+2(3)(5i)+(5i)^2[/tex]

[tex]\\ \sf\longmapsto x^2+6x+10xi+9+30i-25[/tex]

[tex]\\ \sf\longmapsto x^2+6x+10xi+30i+9-25[/tex]

[tex]\\ \sf\longmapsto x^2+6x+10xi+30i-16[/tex]