220 equals 99 subtracted from b

Answer:

#1= 24.23

#2= 57.91

#3= 35.84

#4= 48.59

Step-by-step explanation:

soh cah toa

sin=opposite/hypotenuse

cos=adjacent/hypotenuse

tan= opposite/adjacent

use inverse sin cos and tan to find angles!

Answer:

Example 1 tan-1(9/20)=24.23°

Example 2 cos-1(17/32)=57.91°

Example 3tan-1(13/18)=35.84°

Example 3 sin-1(21/28)=48.59°

Answer:

360 degrees = 68 + 31 + 115 + GJ

GJ = 360 -68 -31 -115

GJ = 146

Inscribed Angle = 1/2 of intercepted arc

Angle GHJ = 146 / 2 = 73 degrees

Angle GIJ = 146 / 2 = 73 degrees

Source: http://www.1728.org/circangl.htm

Step-by-step explanation:

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).

Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.

Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.

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The measure of the arc opposite to 189° is 136°.

Secant lines are lines that intersect a curve at two distinct points. They are used to approximate the slope of the curve by measuring the change in the y-coordinate of the two points divided by the change in the x-coordinate of the two points.

The measure of the angle opposite to 189° is x.

To solve for x, we can use the property of alternate interior angles.

The sides of the two secant lines that intersect outside the circle form alternate interior angles whose measures are equal.

Therefore, the two angles formed by the secant lines inside the circle must have the same measure.

Therefore, 53° + x° = 189°.

Subtracting 53° from both sides, we get x° = 136°.

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The perimeter of the figure is 4(π + 9)ft.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

Given is a 2 - D figure as shown in the figure attached.

We can write the perimeter as -

P = P{rectangle} + P{semicircle}

P = 2(10 + 8) + (4π)

P =  (4π) + (36)

P = 4(π + 9)

Therefore, the perimeter of the figure is 4(π + 9)ft.

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Answer:

3

Step-by-step explanation:

i gotchu homie, dont even sweat

The surface area of cylinder M is approximately 131.95 square feet and the surface area of cylinder N is approximately 319.77 square feet.

What is a cylinder?

A cylinder is a three-dimensional geometric shape that consists of two congruent parallel bases in the shape of circles or ellipses, and a curved surface that connects the bases. The height of a cylinder is the perpendicular distance between the bases. A cylinder is a type of prism, and it can be classified as either a right cylinder or an oblique cylinder depending on whether or not its axis is perpendicular to its bases. Right cylinders have circular bases and their axis is perpendicular to the bases, while oblique cylinders have elliptical bases and their axis is not perpendicular to the bases.

Now,

Let the radius of cylinder M be r and its height be h. Then, the radius and height of cylinder N are both 2r, since the radius is equal to the height.

Since the cylinders are similar, their dimensions are proportional, which means:

(height of N) / (height of M) = 5/3

(radius of N) / (radius of M) = (2r) / r = 2

Using the formula for the surface area of a cylinder, we can write:

Surface area of cylinder M: 2πr² + 2πrh

Surface area of cylinder N: 2π(2r)² + 2π(2r)(5/3)h

We are told that the surface area of cylinder N is 256 square feet greater than the surface area of cylinder M. So we can set up the equation:

2π(2r)² + 2π(2r)(5/3)h = 2πr² + 2πrh + 256

Simplifying and solving for h, we get:

4r² + 20rh/3 = r² + rh + 128

3r² - rh - 128 = 0

(3r + 32)(r - 4) = 0

Since the height of the cylinder cannot be negative, we take the positive solution r = 4. Then, the height of cylinder M is (3/5)(4) = 12/5, and the height of cylinder N is 2(4) = 8.

Using the formulas for surface area, we can find the surface areas of both cylinders:

Surface area of cylinder M: 2π(4)² + 2π(4)(12/5) = 131.95 square feet

Surface area of cylinder N: 2π(2(4))² + 2π(2(4))(8) = 319.77 square feet

Therefore, the surface area of cylinder M is approximately 131.95 square feet and the surface area of cylinder N is approximately 319.77 square feet.

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Answer: \(\dfrac{1}{20}\) or 0.05

Step-by-step explanation:

Formula:

Standard error \(=\dfrac{\sigma}{\sqrt{ n}}\)

, where \(\sigma\) = Standard deviation

n= Sample size.

Given: Standard deviation = \(\dfrac12\)

Sample size = 100

Standard error = \(\dfrac{\dfrac12}{\sqrt{100}}\)

\(=\dfrac{1}{2\times10}=\dfrac{1}{20}=0.05\)

Hence, the required Standard Error = \(\dfrac{1}{20}\) or 0.05

The Standard Error of the sum of the 100 draws is 0.05.

It is given that,

The standard deviation of the box σ = 1/2

Number of draws n = 100

The standard error formula with standard deviation σ and number of trials n  is σ/√n.

So, standard error SE of the sum of 100 draws,

\(SE = \sigma/\sqrt{n}\)

SE = \(\frac{1}{2} /\sqrt{100}\)

SE = \(\frac{1}{20}\) = 0.05

Therefore, the Standard Error of the sum of the 100 draws is 0.05.

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Answer:  d = 382

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

Work Shown:

d = 350*sec(x)

d = 350*(1/cos(x))

d = 350*(1/cos(0.41))

d = 381.62910632113

d = 382

Make sure your calculator is in radian mode.

The probability of 3 or more deaf people in a sample of 100 is given as follows:

0.3633 = 36.33%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of the parameters for this problem are given as follows:

p = 0.02, n = 100.

The probability of 3 or more deaf people are given as follows:

P(X >= 3) = 1 - P(X < 3).

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Hence:

Thus:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.1326 + 0.2707 + 0.2334

P(X < 3) = 0.6367.

P(X >= 3) = 1 - P(X < 3).

P(X >= 3) = 1 - 0.6367.

P(X >= 3) = 0.3633.

We suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.

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Answer:

$12.21 / 1.48 = 8.25

Step-by-step explanation:

Answer: D.

You can get the lowest price at Store C

The lowest price is at Store C, where the price is $113.75 after the discount.

You can get the lowest price at Store C.

Option D is the correct answer.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Let's first calculate the price of the snowboard after the discounts at each store:

Store A:

The first discount is 30% off, so the price becomes 0.7 times the original price.

0.7 x $189.59

= $132.71

The successive discount is 10% off, so the price becomes 0.9 times the discounted price.

0.9 x $132.71

= $119.44

Store B:

The first discount is 20% off, so the price becomes 0.8 times the original price:

= 0.8 x $189.59

= $151.67

The successive discount is 20% off, so the price becomes 0.8 times the discounted price.

= 0.8 x $151.67

= $121.34

Store C:

The discount is a straight 40% off, so the price becomes 0.6 times the original price.

= 0.6 x $189.59

= $113.75

Therefore,

The lowest price is at Store C, where the price is $113.75 after the discount.

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Answer:

low gradient, high volume

high gradient, low velocity

high gradient, high velocity

Step-by-step explanation:

Answer:

low gradient, high volumehigh gradient, low velocityhigh gradient, high velocity

Step-by-step explanation:

Answer:

\( 2228 \: {ft}^{2} \)

Step-by-step explanation:

Required flooring cover

= Area of the school playground

= Area of square with side 40 ft + Area of semicircle with radius (40/2) i.e. 20 ft

\( = {(40)}^{2} + \frac{1}{2} \times 3.14 \times {(20)}^{2} \\ \\ = 1600 + \frac{1}{2} \times 3.14 \times 400 \\ \\ = 1600 + 3.14 \times 200 \\ \\ = 1600 + 628 \\ \\ = 2228 \: {ft}^{2} \)

Answer:

Angle4 and Angle12

Step-by-step explanation:

hope this helps if you need me to explain i will

kung 5ft and a width of 9ft and the area of prism is 174 the answer is 5ft

Answer:

23.8

Step-by-step explanation:

2l+2w for l=5.7 and w=6.2

2*5.7+2*6.2 first multiply

11.4+12.4 then add

23.8

Answer:

1/2 divided by 6

0.5/6

0.0833

Answer:

3. A = (0,-3)

   B = (4,-2)

    C = (-1,1)

4. A = (0,-6)

    B = (4,-5)

    C = (-1,-2)

Step-by-step explanation:

3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).

4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.

So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).

I hope this helped you.

Answer:

B

Step-by-step explanation:

X must not be equal to -6, -1, 1 or 3

Based on the definition of  parallelogram, the conclusion about the quadrilateral is that: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

If a quadrilateral is a parallelogram, the two pairs of opposite sides will be parallel to each other.

If two sides of a shape have the same slopes, it then means the shape is a parallelogram.

The quadrilateral that is given is said to have the following:

Two equal slopes of 5/4 and 5/4; and 2/5 and 2/5, this means the sides that have the same slope values are opposite to each other.

Since they are opposite to each other and they have the same slope, therefore, the conclusion about the described shape is: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

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The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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Let's draw the circle and the lines to see more clear:

The AB and CD are diameters of the circle, so the intersection point K is the center of the circle.

We know the angle BKD=100°, but the angle AKC=BKD because they are opposite angles.

So the measure of arc AC is:

You should note the angle AKC in the above equation must be in radians. To convert degrees to radians use the following equation:

So,

Answer:

1,3,7,9,21,63

Step-by-step explanation:

Trust me fam

Answer:

I think this is right lol

Step-by-step explanation:

f(x)=49+x