What is the volume of this prism? *

40 square units

20 cubic units

60 cubic units

80 square units

Answer:

See below.

Step-by-step explanation:

Remember SOHCAHTOA.

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

sin(64) = x / 94

Multiply both sides by 94.

94sin(64) = 94x / 94

Simplify

x = 94sin(64)

x = 84.487 = 84.5

Answer:

0.375

Step-by-step explanation:

With equal probability, hence

p for both teams = 0.5

First team to win three games win, probability that series lasts 5 games :

This means after 4 games each of the teams must have won 2 each ; and the series decider will be on the 5th game :

Each team winning two games and any of the teams could be the eventual winner :

From binomial relation :

P(x = x) = nCx * p^x * q^(n-x)

q = 1 - p = 0.5

Team A :

Winning any 2 from 4 and winning the 5th

(4C2 * 0.5^2 * 0.5^2) * 0.5

0.375 * 0.5 = 0.1875

Team B :

(4C2 * 0.5^2 * 0.5^2) * 0.5

0.375 * 0.5 = 0.1875

Hence, the probability that series lasts five games is :

[4C2*0.5^2*0.5^2)*0.5]+[4C2*0.5^2*0.5^2)*0.5]

0.1875 + 0.1875

= 0.375

Step-by-step explanation:

[tex] \frac{1}{2} (10)(12) \\ \frac{1}{2} (120) \\ 60 {cm}^{2} [/tex]

Answer:

The expression is 2 y - 1 2

Step-by-step explanation:

two times the quantity of a number minus 12

Let the number of y.

Two times a number is  2 y

Now minus 12

So, the expression is

2 y - 12

Answer:

11 - 6√3

Step-by-step explanation:

Given the expression;

5+2√3/7+4√3

Rationalize

5+2√3/7+4√3 * 7-4√3/7-4√3

= 35 - 20√3+14√3 - 24/49 - 16(3)

= 35 - 20√3+14√3 - 24/49 - 48

= 35 - 20√3+14√3 - 24

= 35 - 6√3- 24

= 35 - 24 -  6√3

= 11 - 6√3

This gives the required solution

Answer:

13 days

Step-by-step explanation:

1240 divided by 98 is 12.65... and you need to answer in whole days so its 13

Answer:

- f(x)=0.50(x-1)+0.21

Answer:

[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {2}^{2} \times 6 \\ = 25.13 \: {m}^{3} [/tex]

Step-by-step explanation:

The answer is a - (-b) = (-b) - a

for example if we take;

a = 4

b = 2

c = 2

and we replace;

4 - ( -2) = (-2) - 4

6 = -6

which is not true....

All the remaining are true....

even u can just use the values of abc and check if its true....

Answer:

D

Step-by-step explanation:

just by my experience and the look of it, but its super easy to put these in "MathPapa Algebra Calculator", and check. I use it for everything!

Answer:

[tex]Students = 340[/tex]

Step-by-step explanation:

Given

[tex]2008 \to 83\%[/tex]

[tex]2009 \to 85\%[/tex]

[tex]2010 \to 89\%[/tex]

[tex]2011 \to 84\%[/tex]

[tex]2012 \to 88\%[/tex]

[tex]2013 \to 81\%[/tex]

[tex]n = 400[/tex]

Required

The expected number of students

First, calculate the average attendance in the 6 years of the talent show.

[tex]\bar x = \frac{83\% + 85\% + 89\% + 84\% + 88\% + 81\%}{6}[/tex]

[tex]\bar x = \frac{510\%}{6}[/tex]

[tex]\bar x = 85\%[/tex]

The expected number of students is:

[tex]Students =n * \bar x[/tex]

[tex]Students = 400 * 85\%[/tex]

[tex]Students = 340[/tex]

Answer:

11.25

Step-by-step explanation:

Answer:

y= 35⁰

x = 55⁰

Step-by-step explanation:

total angle of triangle is 180⁰

therefore we can equate:

x + (x-20) + 90 = 180

2x + 70 = 180

x = 55⁰

total of x and y is equal to 90⁰ since it is a right angle;

x + y = 90

x = 55⁰

55⁰ + y = 90

y = 35⁰

Answer:

c. 267.95cm^3

Step-by-step explanation:

[tex] \frac{4}{3} \pi {(4)}^{3} \\ \frac{4}{3} \pi(64) \\ \frac{256}{3} \pi \\ 85.3\pi \\ 268 {cm}^{3} [/tex]

Hi there! See the Identity below in the box:

[tex] \large \boxed{(f - g)(x) = f(x) - g(x)}[/tex]

We are also given that:

Substitute both values in the equation.

[tex] \large{(f - g)(x) = 0 - (7x + 9)} \\ \large{(f - g)(x) = - (7x + 9)}[/tex]

Recall the property:

Same sign multiplying the same sign = + while opposite = -

Using the distribution property, distribute the negative sign in 7x+9. Since 7x+9 are positive for both terms - distributing in would turn the expression in negative form.

[tex] \large{(f - g)(x) = - 7x - 9}[/tex]

Hence, the answer is -7x-9.

Questions about the problem and my answer or explanation can be asked through comment.

Furthermore, (f-g)(x) is like a factored form of f(x)-g(x).

Hope this helps, and Happy Learning! :)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.

  y = 2(x^2 -4x) +3

  y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square

  y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form

Answer:

I would assume it to be the second option, or B.

'The bogs the moose lived in became so soggy that only moose with the largest feet could successfully walk on the bog'

Step-by-step explanation:

Answer:

Second one

Step-by-step explanation:

It best explains why moose developed larger feet.

Answer:

[tex] 208.5 \: {units}^{2} [/tex]

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 13 by 10 units + Two times the area of one semicircle with radius (10/2 = 5) 5 units.

[tex] = lb + 2 \times \frac{1}{2} \pi {r}^{2} \\ = 13 \times 10 + 3.14 {(5)}^{2} \\ = 130 + 3.14 \times 25 \\ = 130 + 78.5 \\ = 208.5 \: {units}^{2} [/tex]

Answer:

11h +5x

Step-by-step explanation:

6h + 5(x + h)

Distribute

6h + 5x+ 5h

Combine like terms

11h +5x

Answer:

Hey, I'm so happy for you! :D

Step-by-step explanation:

Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!

Here is a look at some of my content...

congratulationsssssssss

Answer:

x^2 + y^2 = 100

Step-by-step explanation:

The general form of the equation of a circle is

(x-h)^2+(y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-0)^2+ (y-0)^2 = 10^2

x^2 + y^2 = 100

Answer:

65 + .70(20)= 79 dollars

Step-by-step explanation:

65+0.70miles = Fee

this means she can drive 19 miles and she will still be below the price company A but as soon as she drives 20 miles company A and B will cost the same

Answer:

Value of θ [Angle of elevation] = 72.54°

Step-by-step explanation:

Given;

Length of foot ladder = 20 feet

Distance of foot from house (Base) = 6 feet

Find:

Angle of elevation

Computation:

Using trigonometry functions

Cos θ = Base / Hypotenuse

Cos θ = Distance of foot from house (Base) / Length of foot ladder

Cos θ = 6 / 20

Cos θ = 0.3

Cos θ = Cos 72.54

Value of θ [Angle of elevation] = 72.54°

Answer: 64

Step-by-step explanation: 4x4x4=64

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{4}^3[/tex]

[tex]\large\text{= 4}\times\text{4}\times\text{4}[/tex]

[tex]\large\text{= 16}\times\large\text{4}[/tex]

[tex]\boxed{\large\text{= \bf 64}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 64}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

80 minutes

Step-by-step explanation:

1. Determine the volume of the tank

volume = length x width x height

100 cm = 1 meter

80cm /100 = 0.8m

1.2 x 1 x 0.8 = 0.96m³

2. convert litre to meter

1 liter = 0.001 m

2 litres = 0.002m

3. determine the time it would take to fill 0.96m

(0.96x 10) / 0.002 = 4800 seconds

4. convert seconds to minutes

60 seconds = 1 minute

4800 seconds / 60 = 80 minutes

2l = 0.0

Answer:

arcm<RP = 136degrees

Step-by-step explanation:

From the given circle;

<Q = 1/2arc mRP

Given

<Q = 68degrees

68 = 1/2 arcM<RP

2 * 68 = arcm<RP

136 =arcm<RP

arcm<RP = 136degrees

Answer:

Net cash provided by operating activities = $135,800

Step-by-step explanation:

Given:

Net income = 89400

Accounts receivable decreased = 24000

Inventory increased = 14400

Issuance of long-term debt = 30000

Missing data;

Accounts payable decreased = $8,200

Equipment purchases = 100,000

Depreciation and amortization expense = $45,000

Find:

Net cash provided by operating activities

Computation:

Particular                                                        Amount

Net Income                                                 89400

Add Amortization                                        45000

Net income before non cash expenses 134400

Add Decrease in AR                                 24000

Less Increase in inventory                     14400

Less Decrease in AP                                  8200

Net cash provided by operating activities $135,800

Answer:

3,4,5

Step-by-step explanation:

Answer:

x = - 1, x = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

3x² + 2x - 1 ( to find the zeros, equate to zero )

3x² + 2x - 1 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × - 1 = - 3 and sum = + 2

The factors are + 3 and - 1

Use these factors to split the x- term

3x² + 3x - x - 1 = 0 ( factor first/second and third/fourth terms )

3x(x + 1) - 1 (x + 1) = 0 ← factor out (x + 1) from each term

(x + 1)(3x - 1) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = [tex]\frac{1}{3}[/tex]

Answer:

x= 1/3, -1

Step-by-step explanation:

So you can solve this via graphing or solving, I will show both. By solving first you factor the equation and set it equal to 0 (this is because for x intercept y=0)

0 = (3x-1) (x+1)

Use math to solve for x,

3x-1=0

3x=1

x=1/3

(not sure if your teacher wants 1/3 as decimal or fraction, if decimal then use 0.333 in place of 1/3)

x+1=0

x= -1

As far as graphing, just plug the equation in Desmos and wherever the graph cross the x axis is where y values are 0 (which are the x intercepts) and you get the same value.

Answer:

n=8

Step-by-step explanation:

1/2 (n + 4) = 6

n+4=12

n=8