What is the approximate length of the minor arc XY?
A. 28.3 cm
B. 25.7 cm
C. 14.1 cm
D. 56.5 cm

Answer:

42.1 cm

Step-by-step explanation:

The length of the arc is circumference of the circle - length of minor arc GH

circumference of circle = 2 * π * r = 2 * π * 9.1 = 18.2 π cm

The length of the minor arc = angle/360 * 2 * π * r

Now this is tricky, the angle is 360-265 = 95

The length of the minor arc = 95/360 * 2 * π * 9.1 = 4.80 π

Length of major arc = 18.2 π -4.8 π = 13.4 * π = 13.4 * 22/7 = 42.11cm

Answer:

  T(t) = 14.5cos(2π(t -206/365)) +63.5

Step-by-step explanation:

The function can be written as ...

  T = A·cos(2π(t -206/365)) +B

where A is half the difference of the high and low temperature values, and B is the average of the high and low temperature values.

  A = (78-49)/2 = 29/2 = 14.5

  B = (78 +49)/2 = 127/2 = 63.5

The value 206/365 is the horizontal right shift of the peak of the function. That makes the peak occur on July 26, as required.

Filling in these values gives us the function ...

  T(t) = 14.5cos(2π(t -206/365)) +63.5

Answer:

A≈8173.18

Step-by-step explanation:

Answer:

Humans have limited powers as, but most of us desire to gain the ability to have supernatural powers for fame and fortune. However, only with a radical mutation in the DNA can abilities and powers turn out in them.

Step-by-step explanation:

Answer:

The volume of a cylinder:

[tex]V \approx 2035.75[/tex] [tex]ft^3[/tex]

Step-by-step explanation:

-To find the volume of a cylinder, you first need the formula:

[tex]V = \pi (\frac{d}{2})^2 h[/tex]

[tex]d =[/tex] diameter

[tex]h =[/tex] height

-Use the following diameter and height for the formula:

[tex]V = \pi (\frac{18}{2})^2 8[/tex]

-Then, you solve:

[tex]V = \pi (\frac{18}{2})^2 8[/tex]

[tex]V = \pi \times (\frac{18}{2})^2 \times 8[/tex]

[tex]V = \pi \times (9)^2 \times 8[/tex]

[tex]V = \pi \times 81 \times 8[/tex]

[tex]V = \pi \times 648[/tex]

[tex]V = 648\pi \approx 2035.752[/tex]

-Since the hundredth place is 2, It cannot be rounded to the nearest hundredths place, so it would be:

[tex]V \approx 2035.75[/tex] [tex]ft^3[/tex]

Answer:

Number of miles = dependent variable

Number of gallons used = independent variable

Step-by-step explanation:

In order for the driver to see how many miles the car can run, they must first see how many gallons of gas they have in the car. The number of miles depend on the number of gallons used. So, your answer would be letter choice A.

The statement which best represents the relationship is that, the number of miles is the dependent quantity and the number of gallons is the independent quantity.

Dependent variable are variables which depends on another variable to take it's value.

Independent variables are those which does not depend on other variables.

Given is a table which represents the number of miles travelled and the number of gallons of gas used.

From the table, if x represents the number of gallons of gas used and y represents the number of miles travelled, then the equation can be written as,

y = 35x

It is clear that, the value of y depends on the value of x.

So, x is the independent variable and y is the dependent variable.

That is, number of gallons of gas used is the independent variable and number of miles travelled is the dependent variable.

Hence the number of miles is the dependent quantity and the number of gallons is the independent quantity.

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Answer:

2:3

Step-by-step explanation:

15/25 are girls

10/25 are boys

10/25 to 15/25

2/5 : 3/5

2:3

Answer:

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

[tex]V(t) = V(0)(1-r)^{t}[/tex]

In which V(0) is the initial value and r is the yearly depreciation rate.

In this question, we have that:

[tex]V(0) = 80000, r = 0.1[/tex]

So

[tex]V(t) = V(0)(1-r)^{t}[/tex]

[tex]V(t) = 80000(1-0.1)^{t}[/tex]

[tex]V(t) = 80000(0.9)^{t}[/tex]

Value of the car at the end of 3 years:

[tex]V(3) = 80000(0.9)^{3} = 58320[/tex]

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

Answer:

A

Step-by-step explanation:

Answer:

The velocity of money is 6.

Step-by-step explanation:

Nominal Gross Domestic Product is the Gross Domestic Product that has been determined by the current prices of goods and services in a market.

Money velocity expresses the rate at which money moves from one entity to another in a given economy. It it the ratio of the nominal Gross Domestic Product to the money supply in an economy.

      i.e                      V = [tex]\frac{P * Y}{M}[/tex]

where: V is the velocity of money, P x Y is the nominal GDP  i.e price level x output/real GDP, and M is the money supply. High velocity of money causes an increase in inflation.

Given that, nominal GDP = 2400 and money supply = 400, then;

               V = [tex]\frac{2400}{400}[/tex]

                  = 6

Therefore the velocity of money is 6.

Answer:

Notice that each edge of the cube is 2 yards long, and the height of the pyramid is 2 yards long too.

The slant height refers to the height of a triangle on its face, which forms a right triangle with the height of the pyramid and half side. Using Pythagorean's Theorem, we have

[tex]s^{2}=1^{2} +2^{2}\\ s=\sqrt{5}[/tex]

Therefore, the slant height is the square root of 5, in yards units. (A)

The surface of the composite figure is the sum of the surface area of both volumes.

[tex]S_{composite}=S_{cube} +S_{pyramid}\\ S_{composite}=5(2)^{2} +(2)^{2} +\frac{1}{2} (8)(\sqrt{5} )=20+4+4\sqrt{5} \\ S_{composite}\approx 32.9 yd^{2}[/tex]

Therefore, the surface of the composite figure is 32.9 square yards. (B)

The concrete needed will fill the empty space between the cube and the pyramid, so we have to find the difference between their volumes.

[tex]V_{concrete}=V_{cube} -V_{pyramid}=2^{3}-\frac{1}{3}(2)^{2} (2)=8-\frac{8}{3} \\V_{concrete} \approx 5.33 yd^{3}[/tex]

Therefore, we need 5.33 cubic yards of concrete to make the planter. (C)

Answer:

A. 2.24 yd

B. 53.67 yd²

C. 5.33 yd³

Step-by-step explanation:

Here we have;

Height of the pyramid = 2 yd

Side length of pyramid base = 2 yd

Therefore, the slant height forms a right triangle with the height of the pyramid and half the base hence;

(Slant height)² = (2·yd)² + (2·yd/2)² = 4·(yd)² + (yd)² = 5·(yd)²

∴ Slant height = √5 yards = 2.24 yd

B. The surface area of the cube with one side open is found as follows;

Surface area of container cube = 5 × (2·yd)² = 20 yards²

The surface area of the pyramid = Base area + 1/2 perimeter of base × Slant height

Since the base is open, we have;

The surface area of the pyramid = 1/2 perimeter of base × Slant height

= 1/2 × (4 × (2·yd))×yd·√5 = 4·yd×yd·√5 = 4·√5·(yd)²

Hence total surface area of the planter = Surface area of container cube + surface area of the pyramid

total surface area of the planter = 20·yd² + 4·√5 yd² = 24·√5 yards²

C. The volume of concrete needed to make the planter is the volume of the cube concrete container less the volume of the inverted pyramid

Volume of the cube = 2 × 2 × 2 = 8 yd³

Volume of the inverted pyramid = 1/3 × Base area × Height

Volume of the inverted pyramid = 1/3 × 2 × 2 × 2 = 8/3 yd³

Therefore, volume of the concrete needed = 8 yd³ - 8/3 yd³ = 16/3 yd³ = 5.33 yd³.

Answer:

c)5

Step-by-step explanation:

Coefficient is always the numerical value before the variable

I hope this helped and have a good rest of your day!

Answer: 5184.

Step-by-step explanation:

You do 72 x 72.

Answer:

3x2(4x – 3) + 1(4x – 3)

Step-by-step explanation:

Answer:

m=2

mean is 13

Answer:

y<-5

Step-by-step explanation:

y-7<-12

y<-5

Answer:

The answer is y is less than -5

Step-by-step explanation:

Answer:

89.98

Step-by-step explanation:

49.99 x 20% = 9.998

So, 20% of 49.99 is 10.

49.99 - 10 = 39.99 To get the Total of the discounted item.

49.99 + 39.99 = 89.98 Add final totals to get answer

Answer:]]

The slope of these two linear equations is the same so the would be Parallel.

y = mX + B where m is the slope.

In this case the slope is 1 for both equations.

y = x -2

y = x + 10

They would be exactly 12 units apart too.

Step-by-step explanation:

Answer: 10 - 2√21

Step-by-step explanation: I simplified your question by using an online calculator. :)

Answer:

B. It takes more than 12 loads to wash 9 bins of towels.

Step-by-step explanation:

The function f(x) gives the number of loads

Where x= bins of towels

If f(9) > 12

Therefore, f(9) > 12 tells us that it takes more than 12 loads to wash 9 bins of towels.

The correct option is B.

Answer:

A

Step-by-step explanation:

To calculate this, the first thing we need to do is to calculate the z-score

Mathematically,

z-score =( x - mean )/SD

according to the question, X = 55 inches, mean = 57 inches and SD = 4.6 inches

we plug these values into the equation

z-score =( 55-57)/4.6 = -2/4.6 = -0.4348

The required probability we are trying to calculate is;

P( z < -0.4348) or simply P(x<55)

To calculate this probability we use the standard score table

From the standard score table,

P( z < -0.4348) = 0.33186

In percentage this is 33.186%

To the nearest percentage, this is 33%

Answer:

radius = [tex]\sqrt{34}[/tex]

Step-by-step explanation:

The radius r is the distance from the centre to a point on the circle.

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (5, - 3)

r = [tex]\sqrt{(5-0)^2+(- 3-0)^2}[/tex]

  = [tex]\sqrt{5^2+(-3)^2}[/tex]

  = [tex]\sqrt{25+9}[/tex]

  = [tex]\sqrt{34}[/tex]

Answer: it’s actually b for edge 2020

Step-by-step explanation:

The probabilities greatest for a standard normal distribution is

P(-0.5 SZ30.5) i.e. 38.2%

A special normal distribution where the mean is 0 and the standard deviation is 1. It is also called the z-distribution .

For the data given in the question

P(-1.5 575-0.5)

P(-0.5 SZ30.5)

P(0.5 5731.5)

P(1.5 523 2.5)

[tex]P_{r} (-1.5 \leq z \leq 0.5) = 0.092 +0.15=0.242\\\\P_{r} (-0.5 \leq z \leq 0.5)= 0.191+0.191= 0.382\\\\P_{r} (0.5 \leq z \leq 1.5)= 0.15+0.092=0.242\\P_{r} (1.5 \leq z \leq 2.5)= 0.044+0.017=0.061[/tex]

From the given data the second data is the highest 0.382 , so the correct answer is P(-0.5 SZ30.5).

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Answer:

-3 I think

Step-by-step explanation:

well 10-7=3 and 13-10=3

but since it is greater number first it would make it a -3

Answer:

3/4 of an inch

Step-by-step explanation:

The longest plant is 7/8 of an inch

The shortest plant is  1/8 of an inch

7/8 - 1/8 = 6/8

Simplifying = 3/4

Answer:

The money you will have in 5 years: 1000 x (1 + 3/100)^5 = 1159.27$

Hope this helps!

:)

The dimension of the rectangle is 8m by 6.5m respectively

The formula for calculating the area of a rectangle is expressed as;

A =lw

If the length of a rectangle is 5 m less than twice the width, then;

l = 2w - 5

Substitute

A = w(2w-5)

52 = 2w² - 5w

2w² - 5w = 52

2w² - 5w - 52 = 0

(2w−13)(w+4)=0

Step 2: Set factors equal to 0.

2w−13=0 or w+4=0

w =13/2 or 6.5m

Determine the length

l = 2w - 5

l = 2(6.5) - 5

l = 13 - 5

l =8m

Hence the dimension of the rectangle is 8m by 6.5m respectively

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Answer:

$450

Step-by-step explanation:

Mr. william's paid $1250 in cash for a new television set. But if he was to use the store's deposit plan, he will have to make some installmental payment after paying an initial deposit.

Initial deposit = $350

Installmental payments of $150 for 9months.

His total payment will be = Initial payment + the total amount of the installmental payment.

$350 + (9 x $150) = $350 + 1350 = $1700

$1700 - $1250 = $450 savings

By paying in cash he will be saving an amount of $450.

Answer:

200 and 100

Step-by-step explanation:

Just did it:)

Answer:

The number of upper-level seats = 200

The number of lower-level seats = 100

Step-by-step explanation:

Given:

x = the number of upper-level seats.

y = the number of lower-level seats.

According to the question:

20x + 30y = 7000

15x + 35y = 6500

Multiply first equation by 3 and second by 4 then subtract them

[tex]3(20x + 30y) - 4(15x + 35y ) = 3(7000)-4(6500)\\60x+90y-60x-140y=-5000\\-50y=-5000\\y=100[/tex]

Plug y=100 in 20x + 30y = 7000.

[tex]20x + 30y = 7000\\20x + 30(100) = 7000\\20x+3000=7000\\20x=4000\\x=200[/tex]

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Answer: 1/5, .2, and or 20%

Step-by-step explanation:

The only multiple of 2 that is less than 3 and greater than 1 is 2, so there is a 1/5, .2 and or 20% chance of this happening