Find the value of 1/3 divided by 1/2

Answer:

94°

Step-by-step explanation:

The internal angles of a 7-sided shape add up to 900°

[tex]900=90+148+140+136+x+142+150\\x=94[/tex]

Answer:

(1) 3.43

Step-by-step explanation:

tan θ = y / x

tan θ = 0.96 / 0.28

tan θ = 3.43

  Option (1) will be the correct option.

         [tex]\text{tan}\theta=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

Given in the question,

Terminal angle will be formed between the standard position and the terminal ray passing through the given point.

Hence, [tex]\text{tan}\theta=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(θ) = [tex]\frac{PO}{OA}[/tex]

tan(θ) = [tex]\frac{0.96}{0.28}[/tex]

tan(θ) = 3.43

      Therefore, Option (1) will be the correct option.

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Answer:

x = 0, π/4, π, 7π/4

Step-by-step explanation:

sin(2x) = √2 sin x

Use double angle formula.

2 sin x cos x = √2 sin x

Move everything to one side.

2 sin x cos x − √2 sin x = 0

Factor.

sin x (2 cos x − √2) = 0

Solve.

sin x = 0, cos x = ½√2

x = 0, π/4, π, 7π/4

Answer:

Approximately 1340.41

Step-by-step explanation:

Answer:

[tex]V = 1340.41[/tex]

Step-by-step explanation:

The formula of the cone is [tex]V=\pi r^{2} \frac{h}{3}[/tex]. r = radius (half of diameter) and h = height. Plug in the numbers and solve the equation.

Answer:

D)The height of the red prism is three times the height of the blue prism

Step-by-step explanation:

Here is the complete question

Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism.

which statement is true?

a)The height of the red prism is one-third the height of the blue prism

B)The height of the red prism is the same as the height of the blue prism

C)The height of the red prism is six times the height of the blue prism.

D)The height of the red prism is three times the height of the blue prism

Solution

Since both prisms have the same volume, V = A₁h₁ = A₂h₂ where A₁ and A₂ are the areas of the red and blue prisms respectively and h₁ and h₂ are the heights of the red and blue prisms respectively. For the question, A₁ = A₂/3. Substituting this into the equation, A₁h₁ = A₂h₂

A₂h₁/3 = A₂h₂

h₁ = 3h₂ . So the height of the red prism is thee times the height of the blue prism.

Answer:

D

Step-by-step explanation:

Answer:

the width is 0.7 feet

Step-by-step explanation:

Well we know that area = length * width. We know both the area and length, but not the width. Let's substitute the area and length in this equation, and substitute x for the width.

7 = 10 * x, or 7 = 10x

Now, solve for the width, or x, by dividing both sides by 10.

7(/10) = 10x(/10)

7/10 = x

Simplify 7/10 = 0.7

So the width of the banner is is 0.7 ft!

Answer:

the distance between the right edge of the painting and right edge of the wall = 8.8 ft

Step-by-step explanation:

From the question, the painting is hung in center of a rectangular wall and so the distance between them on either side will be the same.

Thus, we will divide the length of the painting and wall by 2 to get  2.4/2 = 1.2 ft and 20/2 = 10 ft .

So, the distance between the right edge of the painting and right edge of the wall will be;

D = 10 - 1.2 = 8.8 ft

Answer: 5.2 inches

Step-by-step explanation:

Hi, first we have to find the volume of the cylinder shaped bottles:

V = π r^2 h

where:

V =volume

r= radius

h= height

Replacing with the values given:

V = π 2^2 (12)= 150.80 cubic inches

Since there are 2 bottles

Total punch: 2V = 301.59 cubic inches

The formula for the volume of a half-sphere is

V = (2 / 3) π r3.

Since the half-sphere is filled with the two bottles of punch (301.59 cubic inches)

301.59 =(2 / 3) π r3.

301.59/ (2/3) π =r3

144 =r3

∛144 =r

5.2 inches =r

Answer:

The amount left with Valentina is $10,000.

Step-by-step explanation:

The question is:

Valentina goes shopping at the mall with $50,000. She spends 3/5 of that amount on a diver and half the rest on a skirt. How much money does Valentina have left?

The original amount Valentina had was, P = $50,000.

Compute the amount spent on a diver as follows:

D = [tex]\frac{3}{5}th[/tex] of $50,000

   [tex]=\frac{3}{5}\times 50000\\=30000[/tex]

The amount spent on a diver was, D = $30,000.

Amount left:

A = P - D

   = 50000 - 30000

   = 20000

Compute the amount spent on a skirt as follows:

S = [tex]\frac{1}{2}[/tex] of $20,000

  [tex]=\frac{1}{2}\times 20000\\=10000[/tex]

Amount left:

A₁ =  A - S

   = 20000 - 10000

   = 10000

Thus, the amount left with Valentina is $10,000.

Answer:27

Step-by-step explanation: the equation for this question is 108=3x+x

Answer:

12 45 67 88 90

Step-by-step explanation:

Answer:

The slope is 2

Step-by-step explanation:

Slope = [tex]\frac{rise(changeiny)}{run(changeinx)} =\frac{y2-y1}{x2-x1} =\frac{12-4}{6-2} =\frac{8}{4}[/tex]

8/4 reduces to 2/1 which makes the slope 2

The slope of the line is m = 2.

     To find the slope through two points, you need to apply the following formula:

[tex]\sf m=\cfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values:

[tex]\sf m=\cfrac{12-4}{6-2}[/tex]

[tex]\sf m=\cfrac{8}{4}[/tex]

[tex]\sf m=2[/tex]

Answer:

After the first rotation

A^ prime = (- 2, 3)

After the next two transformations, A^ = A = (2. -3)

Step-by-step explanation:

Here we have that

Rotation of 180 °clockwise about the origin will result in the inversion of the vertex point A such that the coordinates will be (- 2, 3)

Reflection over the x axis and a reflection over the y axis combined will revert the triangle back to its initial position

Therefore after the first rotation

A^ prime = (- 2, 3)

After the next two transformations, A^ = A = (2. -3).

Answer:

orehwfociuxsh8tq23rjwfhdfyvbndm

Step-by-step explanation:

Answer:

5/18

Step-by-step explanation:

There are 9 pieces of fruit in the bowl,  tangerines and 5 clementines.

Assuming that they do not put the fruit back

P (tangerine) = number of tangerines/ total = 4/9

Then John keeps his and there are  8 pieces of fruit in the bowl,  

3 tangerines and 5 clementines.

P (Clementine) = number of clementines/ total = 5/8

P (tangerine, no replacement, Clementine) = P (tangerine) * P (Clementine)

                                                                        = 4/9 * 5/8 =5/18

Answer:

5/18

Step-by-step explanation:

1. Find each of their probabilities separately

2. John= # of tangerines/ total # of fruit

3. John = 4/9

4. Pam = # of clementines/ total # of fruit left

5. Pam= 5/8

6. Multiply the two together to get the probability that both pick the fruit they want

7. 4/9 times 5/8

8. 5/18

Answer:

If you flip three fair coins,what is the probability that you'll get heads on the first two flips and tails on the last flip? So I have 3 coins and I flip them ... If H = Heads and T = Tails, your possible outcomes are. HHH. HHT. HTH. THH. HTT ... So, the probability of HHT is 1/8 = 0.125 = 12.5%. Upvote • 0 Downvote.

Step-by-step explanation:

Answer:

5%+15%=20%

to find 20% of 28 u multiply 28 x 0.2= 5.6

so to remove the 20% since it's 20% off u subtract 5.6 from 28

28-5.6= 22.4

Step-by-step explanation:

The surface area of a rectangle can be calculated by multiplying its length by its width. Since the given dimensions are 8yd and 6yd, the surface area, or more accurately the area, would be 48yd2.

The answer is 48yd2.

Surface area in mathematics refers to the total measure of the exposed outer surfaces of a three-dimensional object, like a cube, sphere, or cylinder. It is calculated by finding the sum of the areas of all the individual surfaces. For example, in a cube, you would add the areas of all six square faces. Surface area plays a crucial role in geometry and real-life applications like packaging design and construction. It helps quantify the amount of material needed and aids in solving problems related to shapes and volumes.

The surface area of a rectangular prism (which includes a box or cuboid shape) is found using the formula: 2lw + 2lh + 2wh, where l equals length, w equals width (or breadth), and h equals height. However, if we are dealing with a rectangle, since it's a two-dimensional figure, the surface area would be its area, which can be found with the formula length x width.

In your case, you only provided the length and width so I would assume that we are dealing with a rectangle. Therefore, to find the area, you just need to multiply the length by the width: 8yd x 6yd = 48yd2.

The answer is 48yd2.

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Answer:

the ticket will cost 256.28

Step-by-step explanation:

you need to multiply the cost of the ticket 149 by .72 and you get 107.28

then add 149 + 107.28 to get 256.28

Answer: The system will succeed when the first alarm rings or when the first one fails, but the second one rings. The probability of this is 0.98

The probability of system failure is 1-(probability of success)= 1-0.98= 0.02

Step-by-step explanation:

Answer:

The system will succeed when the first alarm rings or when the first one fails, but the second one rings. The probability of this is 0.98

The probability of system failure is 1-(probability of success)= 1-0.98= 0.02

Step-by-step explanation:

Plato

Answer:

1/10

Step-by-step explanation:

The probability William will pick a piece of grape gum is 1/5.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

Total gums= 50

The probability of picking cherry is 1/5.

and, probability of picking watermelon is 3/10.

As, we know the probability of all vents sum upto 1.

So, P(picking a grape gum)

= 1- 1/5 - 3/10

= 10-2-3/ 10

=5/10

=0.5

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Answer:

[tex]23,578,000 = 2.3578 \times {10}^{7} \\ [/tex]

Answer:

A. f(x) increases by 3.5%

Step-by-step explanation:

Given:

City of Thomasville.

Population in 2006, [tex]P_o[/tex] = 2460

Exponential function, f(x) = 2460(1.035) ^x    ...equivalent to [tex]P=P_o(1+r)^t[/tex]

Function change at x = 2, 3

According to the question:

Plugging the values of x= 2 and x=3 we have to find the population at different x.

So,

At x= 2                                      At x=3

⇒ [tex]P_2=P_o(1+r)^t[/tex]                        ⇒ [tex]P_3=P_o(1+r)^t[/tex]

⇒ [tex]P_2=2460(1.035)^x[/tex]                     ⇒ [tex]P_3=2460(1.035)^x[/tex]

⇒ [tex]P_2=2460(1.035)^2[/tex]                     ⇒ [tex]P_3=2460(1.035)^3[/tex]

⇒ [tex]P_2=2622.4[/tex]                               ⇒ [tex]P_3=2707.7[/tex]

Percent change :

⇒ [tex]\triangle \% =\frac{Final\ value -Initial\ value}{Initial\ value} \times 100[/tex]

⇒ [tex]\triangle \% = \frac{(P_3-P_2)}{P_2} \times 100[/tex]

⇒ [tex]\triangle \% = \frac{(2707.7-2622.4)}{2622.4} \times 100[/tex]

⇒ [tex]\triangle \% = 3.5[/tex]

So,

The function f(x) increases by 3.5% option A is the right choice.

Multiply each exponent inside the parentheses by the exponent on the outside:

8^(-5 x -4) / 2^(-2 x -4)

8^20 / 2^8

The answer is C

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

Let [tex]\bar X[/tex] = sample mean comprehensive strength

The z-score probability distribution for sample mean is given by;

                          Z = [tex]\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)

where, [tex]\mu[/tex] = population mean comprehensive strength = 5500 psi

            [tex]\sigma[/tex] = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P([tex]\bar X[/tex] > 4985 psi)

    P([tex]\bar X[/tex] > 4985 psi) = P( [tex]\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] > [tex]\frac{4985-5500}{\frac{100}{\sqrt{9} } }[/tex] ) = P(Z > -15.45) = P(Z < 15.45)

                                                                  = 0.99999

Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.

Answer:

3 mins 45 seconds

Step-by-step explanation:

According to the question, Michelle walks at a speed of 320 feet per minute her friend Diana Liz 400 yards from the shelves house approximately how many minutes will Michelle need to walk from her house to Diana's house and back

----First of all we have to work out in only a unit(since there are 2 units involved;feet and yards)

So,let's change the feet to yards

1 foot = 3 yards

X = 400 yards

X = 400 × 3

X = 1200 feet

Speed = distance/time

320 = 1200/x

X = 1200/320

X = 3.75 mins or 3 mins 45 secs

Answer:

A) P = 240

B) P + Po = 1040

C) P = 270.58

D) P+Po = 1070.58

E) Option B (compound interest) is better, as it generates more interest for the same inicial value, rate of interest and time

Step-by-step explanation:

The formula for simple interest is:

P = Po*r*t

Where P is the interest earned, Po is the inicial value, r is the rate of interest and t is the time.

The formula for compound interest is:

P+Po = Po*(1+r)^t

So we have that:

A) P = 800*0.06*5 = 240

B) P + Po = 800 + 240 = 1040

C) P+Po = 800*(1+0.06)^5 = 1070.58 -> P = 1070.58 - 800 = 270.58

D) P+Po = 1070.58

E) Option B (compound interest) is better, as it generates more interest for the same inicial value, rate of interest and time

Answer:

[tex]C=40.01^0[/tex]

Step-by-step explanation:

Area =14 Inch squared

a=8 Inch

b = 7 Inch

DEFINITION: An Included Angle is the angle in between two adjacent sides.

Given the lengths of two sides of a triangle and an included angle.

Area of the Triangle, [tex]A=\frac{1}{2}abSinC[/tex]

Substituting the given values:

[tex]A=\frac{1}{2}abSinC\\14=\frac{1}{2}*8*7*SinC\\18=28*Sin C\\Sin C =\frac{18}{28}\\ C=arcsin (\frac{18}{28})=40.01^0[/tex]

Angle C is 40.01 degrees to the nearest hundredth.

Answer:

store A

Step-by-step explanation:

Answer:

40.44%

Step-by-step explanation:

I'm assuming you meant to say a package of oreos has 36 cookies out of 89 cookies.

To figure out percentage:

Has #/Out of # = Decimal * 100(add a % at the end)

     36/89 = 0.4044 * 100 = 40.44%