Given cos A = and that angle A is in Quadrant II, find the exact value ofAcsc A in simplest radical form using a rational denominator.89

Answer:

Step-by-step explanation:

You want the area and volume ratios when two figures have a similarity ratio of 2 : 7.

The ratio of areas is the square of the similarity ratio:

  2² : 7² = 4 : 49

The ratio of volumes is the cube of the similarity ratio:

  2³ : 7³ = 8 : 343

__

Additional comment

It can help to think about the units of area and volume. For linear dimensions in inches, area dimensions are in square inches, and volume dimensions are cubic inches. Any ratio of inches will be squared when those inch dimensions are used for area, and will be cubed when volume is computed.

  side length of a square or cube: smaller: 2", larger: 7"

  area of the square: smaller: 2² in², larger: 7² in² or 4 in² and 49 in²

  volume of the cube: smaller: 2³ in³, larger: 7³ in³ or 8 in³ and 343 in³

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Answer:

C) Revise

Step-by-step explanation:

A final draft needs to be revised before it can be published

he two numbers that multiply to -35 and add to get -18 are -5 and 3.

To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.

Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:

-5 + 3 = -2

So, -5 and 3 are the two numbers that multiply to -35 and add to -18.

Answer:

About 75 (75.0002)

Step-by-step explanation:

25÷3.14=7.9618

7.9618×3=23.8854

23.8854×3.14=74.0002

Hope this helps:)

The surface area of the square Pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

The surface area of a square pyramid, we need to calculate the area of each face and then sum them up.

A square pyramid has four triangular faces and one square base. The area of the base is equal to the side length squared, while the area of each triangular face can be found using the formula: (1/2) * base * height.

Given that the side length of the square pyramid is 2 yards and the slant height is also 2 yards, we can calculate the surface area as follows:

Area of the base = (side length)^2 = 2^2 = 4 square yards

Area of each triangular face = (1/2) * base * height = (1/2) * 2 * 2 = 2 square yards

Now, let's calculate the total surface area of the square pyramid:

Total surface area = Area of the base + 4 * Area of each triangular face

Total surface area = 4 + 4 * 2 = 4 + 8 = 12 square yards

Therefore, the surface area of the square pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

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Answer:

There would 10,000 possible combination with the numbers 0, 1 and 2

1. An equation representing the number of days Amir has been reading and the number of pages he has read is y = 35x.

2. An equation representing the number of days Jesse has been reading and the number of pages she has read is y = 30 + 30x.

3. The system of equations from 1 and 2 is y = 35x and y = 30 + 30x.

4. At the end of Friday, after solving the equations, both Jesse and Amir read 210 pages each, with Jesse spending 7 days and Amir 6 days.

5. For Jesse and Amir, the equation solutions are y is 210 pages and x is 6 days.

6. After solving the equations, it will take Amir 6 days to catch up with Jesse and each person must have read 210 pages or a total of 420 pages.

A system of equations involves using more than one equation solved simultaneously.

Jesse's reading rate per day = 30 pages

Amir's reading rate per day = 35 pages

The number of pages read by Jesse, y = 30 + 30x

The number of pages read by Amir, y = 35x

Where x = the number of days they have been reading

y = 30 + 30x and y = 35x

35x  = 30 + 30x

35x - 30x = 30

5x = 30

x = 6 (30/5)

y = 30 + 30x

y = 30 + 30(6)

y = 210

y = 35x

y = 35(6)

y = 210

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a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer: 35 cm

Step-by-step explanation:

As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,

The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:

2(length + width) = Perimeter

2(2x + x) = 21

2(3x) = 21

6x = 21

x = 21/6 = 3.5 cm

x = 3.5 cm

From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:

2(length + width) = Perimeter

2(3x + 2x) = Perimeter

Perimeter = 2(5x)

Perimeter = 10x

Perimeter = 10(3.5)

Perimeter = 35 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

As given system of linear equations,

Hence taking 1st equation ,

-3x+3y=12    

-3(x-y)=12   ( common -3 )

now take 2nd equation ,

y=x+4

Now add these two equations, we get

x-y+ y- x=-4+4

0x+0y=0

Answer:

The inverse is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)

We replace x with y and vice versa

so,

\(x = (y+3)^5\)

Solving for y,

the the 5th root,

\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)

hence the inverse function is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5

Answer:

87, 73 (solution A)

Step-by-step explanation:

We know that angle WXY is 160 degrees. Therefore, (5x+8)+(7x-4)=160.

(5x+8)+(7x-4)=160

5x+8+7x-4=160

12x=156

x=13

Now that we have x, we can plug them in to the expressions to find the measures of the given angles.

7(13)-4=87 degrees (angle WXZ)

5(13)+8=73 degrees (angle YXZ)

Answer:

B 5 (t + p + s)

Step-by-step explanation:

When you add all the things purchased, you just need to multiply by 5 so you get the total!

Answer:

The correct answer would be B

Step-by-step explanation:

9514 1404 393

Answer:

  d.  $30

Step-by-step explanation:

When price and demand are linearly related like this, revenue is a quadratic function. Its maximum will be halfway between the prices that give a revenue of 0. Those prices are $60 (where demand is 0) and $0 (where demand is irrelevant). The halfway point is ($60 +0)/2 = $30.

As a check, you can figure revenue for some nearby points.

  at $30, revenue is ($30)(15) = $450

  at $24, revenue is ($24)(18) = $432

  at $36, revenue is ($36)(12) = $432

This confirms revenue is maximized at a price of $30.

The length of DE is approximately 7.71 cm which finds by the use of the law of sines to solve for the length of DE.

The law of sines is a theorem in trigonometry that relates the sides and angles of any triangle. Specifically, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all sides of the triangle. Mathematically, the law of sines can be written as:

a/sin(A) = b/sin(B) = c/sin(C)

Trigonometric functions are mathematical functions that relate angles to the ratios of the sides of a right triangle. The six primary trigonometric functions are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). Each function represents a different ratio of two sides of a right triangle and can be used to solve problems in geometry, physics, engineering, and other fields that involve angles and triangles. Trigonometric functions are also used to model periodic phenomena, such as sound waves and electromagnetic radiation. They are a fundamental part of mathematics and have numerous applications in science and technology.

According to the given information

We can use the law of sines to solve for the length of DE. Let's start by finding angle BAC:

angle BAC = 180 - angle ABC - angle ACB = 180 - 64 - 90 = 26 degrees

Now we can use the law of sines:

DE/sin(90) = CD/sin(26)

DE = CD * sin(26)

Substituting in the given values, we have:

DE = 16 * sin(26)

DE ≈ 7.71 cm (rounded to 3 significant figures)

Therefore, the length of DE is approximately 7.71 cm.

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The area of the dish, a, can be represented by the product of its length and width. Thus, we can write:

a = (279/10) cm x (178/10) cm

Simplifying this expression, we get:

a = 4953/100 cm^2

So, the correct equations are:

B) 178/10 x 279/10 = a

and

D) a ÷ 178/10 = 279/10

y=x+3

hope this helps!

Answer:

Pythagoras invented it

Step-by-step explanation:

a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Answer:

3 15/25

3 3/10

-3

Step-by-step explanation:

Answer:

$204.89

Step-by-step explanation:

Step 1

We have to first find the area of the circular sign.

Since the sign is circular in shape, we use the Area of Circle.

Area of a Circle = πr²

r = 1.5 feet

π = 3.14

Area of a Circle = 3.14 × 1.5²

= 7.065ft² or 7.065 square feet.

Step 2

We find out how much it cost to print the circular sign.

We are told in the question that

The printing company charges $29 per square foot

Hence,

1 square foot = $29

7.065 square feet =

Cross multiply

= 7.065 × $29

=$ 204.885

Approximately to the nearest cent, $204.89

Therefore, it will cost $204.89 to print the circular sign

Answer:

y = -2/3 x + 5

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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