What is the answer for page 785 CPM textbook

Answer:

Do you have a ruler?

Step-by-step explanation:

Answer:

126°

Step-by-step explanation:

the total max percent can be 100%

OR

The total value of the pie is 100%

that means all sectors must add upto 100

=> x + x + 21 + 9 = 100

=> 2x + 30 = 100

=> 2x = 70

=> x = 35

therefore, the two large sectors which are both equal to x each represents 35% of the whole.

Angle subtended by one of those large sectors :-

\( \theta = \frac{component \: part}{total} \times 360\)

\( = \frac{35}{100} \times 360 \\ = 126\)

therfore, the central angle of the big sector is 126°

Answer:

$180.00

Step-by-step explanation:

5x36=180

The height of the largest container is 19.18 cm.

Given that there are four containers that are arranged in the ascending order of their heights and the height of the smallest container is 32.8 cm.

We need to find the height of the largest container if the smallest container is 5 cm less than four seventh times of the largest container. Let the height of the largest container be x cm Given that the height of the smallest container is 32.8 cm Smallest container = 32.8 cm

According to the question,

we have the following information Smallest container = 4/7 * x - 5We need to find the height of the largest container, i.e., x cmTherefore,32.8 = 4/7 x - 532.8 + 5 = 4/7 xx = 94/4.9 cm = 19.18 cm (approximately)

Therefore, the height of the largest container is 19.18 cm.

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Answer:

5

Step-by-step explanation:

x/5=3/9

9x=45

x=45/9

x=5

Answer:

x=18

Step-by-step explanation:

10x-4+x-14=180

11x-18=180

11x=180+18

11x=198

x=\(\frac{198}{11}\)

x=18

Answer:

x = 18

Step-by-step explanation:

(10x -4) + (x-14) = 180 (for linear pair)

<=> 10x + x - 4 - 14 = 180

<=> 11x - 18 = 180

<=> 11x = 180+18 = 18 . 10 + 18 = 18 . 11

<=> x = 18

Answer:

57c - 88d

Step-by-step explanation:

The distance KJ needs to be equal to the distance LM and KL need to be parallel to JM

distances

then we need to calculate the slope of LK and JM if they are equal we have parallel sides

for LK

for JM

This figure is a trapezoid because it has exactly one pair of parallel sides that can prove because the slopes of LK and JM are congruent, but the distances KJ and LM are not equal therefore it is not an isosceles trapezoid

An average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.

To determine the number of people who are stepping onto the roller coaster per minute at peak time, you need to divide the number of people on the roller coaster by the duration of the ride. Hence, the correct option is B) 6.

To be more specific, this means that at peak time, an average of 3 people is getting on the ride per minute. This is how you calculate it:

Number of people per minute = Number of people on the roller coaster / Duration of the ride

Number of people on the roller coaster = 24

Duration of the ride = 8 minutes

Number of people per minute = 24 / 8 = 3

Therefore, an average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.

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Answer:

y=6

Step-by-step explanation:

Im assuming this is standard form. Simply set the y value to 0, and solve for x.

-2x+3(0)=-12

This can be rewritten as:

-2x=-12

divide by its coefficient, (-2)

y=6

I hope this helped you :)

The most appropriate choice for volume of cuboid and cylinder will be given by-

Total mass of sculpture is 10.0464 tonnes

What is volume of cuboid and cylinder?

Cuboid is a three dimensional figure that has 6 faces, 12 edges and 8 vertices.

Volume of cuboid is given by the formula length \(\times\) breadth \(\times\) height

Cylinder is a three dimensional round figure that has two circular bases at the end

If r is the radius of the cylinder and h is the height of the cylinder, volume of the cylinder is given by the formula

V = \(\pi \times r^2 \times h\)

Here,

Radius of cylinder = 40 cm

Height of cylinder = 70 cm

Volume of cylinder = \(\pi \times r^2 \times h\)

                                = \(\frac{22}{7} \times (40)^2 \times 70\\\)

                                = 352000 \(cm^3\)

Length of cuboid = 80 cm

Breadth of cuboid = 80 cm

Height of cuboid = 140 m

Volume of cuboid = \(80 \times 80 \times 140\)

                              = 896000 \(cm^3\)

Total volume of sculpture = (352000 + 896000) \(cm^3\)

                                           = 1248000 \(cm^3\)

Density of sculpture = 8.05 \(g / cm^3\)

Mass of sculpture  = \(1248000 \times 8.05\)

                               = 10046400 g

                               = 10046.4 kg

                                = 10.0464 tonnes

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Answer:

16/81

Step-by-step explanation:

Given

Probability of blue (1st time)

Probability of blue (2nd time)

Probability of blue (both times)

LaTisha's calculation of the distance for the brake anchor placement is incorrect because she didn't take into account the height at which the cable is attached to the starting tree.

The bungee cord is attached 16 feet above the ground, which will also contribute to the length of the cable needed to reach the ending tree.

To correctly calculate the distance, we can use the Pythagorean theorem, considering the height (16 feet) and the length of the stretched bungee cord (24 feet + 18 feet = 42 feet). Let's denote the horizontal distance from the base of the ending tree to the brake anchor as 'd'. We have:

d² + 16² = 42²

Now, we can solve for d:

d² + 256 = 1764

d² = 1508

d = √1508 = 38.8 feet (rounded to one decimal place)

The brake anchor should be placed approximately 38.8 feet from the base of the ending tree.

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Answer:

See below.

Step-by-step explanation:

First, we know that area = length times width. so the first step is to figure out how we got 8\(x^{2}\)-12x. factor out 4x  from the equation to get the length of the rectangular length. 4x(2x-3). so the length of the rectangle is 2x-3. to prove your answer, FOIL the two numbers, 4x and 2x-3, to get 8\(x^{2}\)-12x. This equation is in standard form. The final answer is 8\(x^{2}\)-12x

Answer:

-8

Step-by-step explanation:

Subtract 5 from both sides of the equation:

2+5=2−3

2+5−5=2−3−5

Simplify:

2=2−8

Subtract 2 from both sides of the equation:

2=2−8

2−2=2−8−2

Simplify:

0=−8

The solution to the algebraic expression has no solutions.

An algebraic expression comprises numbers, variables, and arithmetic operations with the aim of determining and finding a solution to the variables.

From the given expression, we have:

2x + 5 = 2x - 3

subtract 2x from both sides, we have:

2x -2x + 5 = 2x -2x - 3

5 = -3

Therefore, the solution algebraic equation has no solution since we don't have a variable to solve.

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Step-by-step explanation:

Substitute t = -9:

\(g( - 9) = 3( - 9) - 5\)

Solve:

\(g( - 9) = - 27 - 5\)

\(g( - 9) = - 32\)

y = C * x^6,

where C is an arbitrary constant.

To solve the differential equation dy/dx = 6y/x, x > 0, we can use separation of variables.

Step 1: Separate the variables:

dy/y = 6 dx/x.

Step 2: Integrate both sides:

∫ dy/y = ∫ 6 dx/x.

ln|y| = 6ln|x| + C,

where C is the constant of integration.

Step 3: Simplify the equation:

Using the properties of logarithms, we can simplify the equation as follows:

ln|y| = ln(x^6) + C.

Step 4: Apply the exponential function:

Taking the exponential of both sides, we have:

|y| = e^(ln(x^6) + C).

Simplifying further, we get:

|y| = e^(ln(x^6)) * e^C.

|y| = x^6 * e^C.

Since e^C is a positive constant, we can rewrite the equation as:

|y| = C * x^6.

Step 5: Account for the absolute value:

To account for the absolute value, we can split the equation into two cases:

Case 1: y > 0:

In this case, we have y = C * x^6, where C is a positive constant.

Case 2: y < 0:

In this case, we have y = -C * x^6, where C is a positive constant.

Therefore, the general solution to the differential equation dy/dx = 6y/x, x > 0, is given by:

y = C * x^6,

where C is an arbitrary constant.

Note: In the provided solution, C is used to denote the arbitrary constant without any negation or multiplication.

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Answer: The required equation is 100/12 = 8 1/3 which shows 100 ounces of soda divided equally among 12 people.

Step-by-step explanation:

There are 100 ounces of soda divided equally among 12 people.

According to the given information, the algebraic form would be as:

⇒ 100/12 = 25/3

Expressing the solution as a mixed number.

⇒ 100/12 = 8 1/3

Therefore, the required equation is 100/12 = 8 1/3 which shows 100 ounces of soda divided equally among 12 people.

Answer: $16

Step-by-step explanation:

reduce by 20% means cutting from 100% and leftover with 80% of original

                                            100%-20%=80%

original price: $20×100%=$20

after reduction: $20×(100%-20%)=$16

Answer:

16

Step-by-step explanation:

First find the discount

20 * 20%

20 * .20

4

Subtract this from the price

20 -4

16

The new price is 16

Step-by-step explanation:

Divide

2

Simplify

Solution

x>0>0

Find solutions on the web

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

The total amount of condensed milk with 40% total solids = 135 kg.

Based on the given conditions,

The amount of condensed milk = 40%

It obtain of milk powder = 100 kg

It obtain moisture content = 5%

So,

We can write,

The amount of condensed milk moisture content = 5%

= 5/100

The amount of condensed milk powder = 100kg

Amount of moisture in food product = 5/100 * 100kg

= 0.05*100

= 5 kg

Wet basis is the percentage ratio of the moisture amount to the total weight of material which is 40%

Ratio of moisture amount to total weight of material is 40 : 100

Amount of moisture in food product

= 40/100 × 100kg

= 0.4*100

= 40kg

Amount of water contained in the final product = 40 kg

Amount of other components in the food product

= 100kg - 5kg

= 95kg

Total amount = 40kg + 95kg

= 135 kg

% of water = 40kg/135kg × 100

= 0.29*100

= 29%

Therefore,

The total amount of condensed milk with 40% total solids = 135 kg.

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The value of an excel formula that will square this number is,

⇒ N²

We have to given that;

A number is stored in cell a1.

Hence, We can formulate;

Type = N² into the empty cell, in which N is a cell reference that contains the numeric value you want to square.

And, We also get;

To display the square of the value in cell A1 into cell B1,

We can type = A1² into cell B1.

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Answer:

4 kilogram

Step-by-step explanation:

A deer weighs 13 kilogram

A boa constrictor weighs 17 kilogram

The weight in grans in whichj the boa constrictor is heavier than the boa can be calculated as follows

= 17-13

= 4 kilograms

Hence the boa constrictor is heavier than the boa by 4 kilogram

Answer:

2970

Step-by-step explanation:

I hope it helped :) if it didnt just message me since in confused whats the dot between the 6.3 and 10²

Answer:

2.97*10^3

Step-by-step explanation:

You have to solve it first so you have 2970 as your answer but you want it in scientific notation. To do this put the decimal after the first number this gives you 2.970. Whenever you need to make the number bigger you use a positive power and whenever you want to make a number smaller you use a negative power. The amount of powers the 10 gets is the amount of times you move it over. You have 2.970 and to get to the original number you need to move it 3 places to the right. Going to the right with your decimal makes it bigger which what you want, so you have 2.970*10^3 as your answer.

Answer:

Trapezoid

Step-by-step explanation:

Answer:

0.0274

Step-by-step explanation:

A z-score measures exactly how many standard deviations above or below the mean a data point is.

The z-score for a normal distribution is given by the formula
\(z = \dfrac{X - \mu}{\sigma}\\where\\\\X = data \;point}\\\mu = mean\\\sigma = standard\; deviation\)

Plugging in values:
X = 125
μ = 100
σ = 13

z = (125-100)/13 = 1.92308

We are asked to find the probability that the score exceeds 125

This is the same as P(z > 1.92308) which is the area to the right of z = 1.92308

P(z > 1.92308) = 0.0274 (from either the tables or calculator)

If each side of a square is increasing at a rate of 7 cm/s, then the rate of increasing the area of the the square when the area of the square is 64 cm square is 112 centimeter square per second

The rate of change of length with respect to the time = 7 cm per second

That is

dl / dt = 7 cm per second

The area of the square = l^2

Where l is the length of the square

The rate of change area with respect to the time is

dA / dt = 2l dl/dt

The area is given that 64 centimeter square and the side will be 8 cm

Substitute the values in the equation

dA / dt = 2 × 8 × 7

= 112 centimeter square per second

Therefore, the rate of increasing the area is 112 centimeter square per second

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