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Using the Pythagorean identity, the value of the cosine ratio is [tex]\cos(\theta_1) = \frac{84}{85}[/tex]

The given parameter is:

[tex]\sin(\theta_1) = -\frac{13}{85}[/tex]

By the Pythagorean identity, we have:

[tex]\sin^2(\theta_1) + \cos^2(\theta_1) = 1[/tex]

So, we have:

[tex](-\frac{13}{85})^2 + \cos^2(\theta_1) = 1[/tex]

This gives

[tex]\cos^2(\theta_1) = 1 - (-\frac{13}{85})^2[/tex]

Evaluate

[tex]\cos^2(\theta_1) = 1 - \frac{169}{7225}[/tex]

Take LCM

[tex]\cos^2(\theta_1) = \frac{7225 -169}{7225}[/tex]

This gives

[tex]\cos^2(\theta_1) = \frac{7056}{7225}[/tex]

Take the square root of both sides

[tex]\cos(\theta_1) = \pm \frac{84}{85}[/tex]

Cosine is positive in the fourth quadrant.

So, we have:

[tex]\cos(\theta_1) = \frac{84}{85}[/tex]

Hence, the cosine value is [tex]\cos(\theta_1) = \frac{84}{85}[/tex]

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Answer:

31.5 units.

Step-by-step explanation:

The area is the height times the base divided by 2.

9x7 = 63

63/2 = 31.5

Answer:

120 i am sorry if i am wrong

Step-by-step explanation:

the volume of the cylinder is 120 cm
I have tried my hardest on studying this
question i am sorry if its wrong

Pasos

(34)x=(35)y=

La ecuación está en formato estándar.

34x=35y

Divide los dos lados por 34.

34

34x

​

=

34

35y

​

Al dividir por 34, se deshace la multiplicación por 34.

x=

34

35y

​

Answer:

70= 5n+40

Step-by-step explanation:

(n=6 if you need it)

Hope this helps! ;-)

In order to find this answer, you will need to be able to make an inequality.

Step 1: Sophia makes $40 so start with that. 40

Step 2: Sophia also makes $5 per every outfit that she sells, so add that plus your variable (n). 40+5n

Step 3: Determine if Sophia wants to make more, equal to or more, less, or less than or equal to than what she wants to make per day. 40+5n *draw a greater than or equal to sign.

Step 4: Sophia wants to make more than or equal to what she makes per day. You will need to find what she wants to make more than. In this she wants to make more than or equal to $70.

Equation: 40+5n *greater than or equal to sign* $70

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Answer:

A larger percentage of people in New York prefer coffee

Answer:

22/24-18/24

Step-by-step explanation:

Convert each low number to the factor
1/3 * 4 = 4/12 which has the same denomanator as 7/12
And the same for 1/2 * 4 = 4/8 which has the same denominator as 2/8
Then you add both with both,
Next you convert both of them to the same denominator and the closest number will be 24 then yousubtract and voila.

Question:
(7/12+1/3)−(1/2+2/8)

Answer:

Fraction Form:
1/6

Decimal Form:

0.16

Hope this helps.

Answer:

20.875

Step-by-step explanation:

Mean is to add up the scores then divide by the number so 20 + 25 + 19 + 18 + 21 + 24 + 15 + 25 which is 167 then divide by 8 which is 20.875

Answer:

3: equally likely

4: likely

Step-by-step explanation:

Question 3:

the spinner has 1, 2, 3, 4, 5, 6

2, 4, 6 are all even number which is 3 / 6 = 1 / 2

so half a chance can be odd or half even possibility of landing

Question 4:

- 13 yellow

- 4 green

- 3 blue

total marbles: 13 + 4 + 3 = 20

yellow / total = 13 / 20

which is more than half of the marbles are yellow

the answer equally

Step-by-step explanation:

equally

Answer: y=-x+31/2

Step-by-step explanation:

2x-4+2y-2=25

2y=-2x+31

y=-x+31/2

Answer:

-8.2 / 4.32 is an infinite nummber but an aproximate is -1.9 or -2

Step-by-step explanation:

Answer:

More wine in the water

Step-by-step explanation:

Hope this helped

Answer:

See below

Step-by-step explanation:

K = 5/9 (F + 459.67)      Multiply both sides by  9/5

9/5 K = F + 459.67        Subtract  459.67 from both sides

9/5 K  - 459.67   = F

Problem 1

L = 10 = length

W = 5 = width

H = 4 = height

SA = surface area of a rectangular prism, aka block or box

SA = 2*(LW+LH+WH)

SA = 2*(10*5+10*4+5*4)

SA = 220

--------------------

LA = lateral area, aka wall area

LA = (perimeter of the base)*(height)

LA = (2L+2W)*H

LA = (2*10+2*5)*4

LA = 120

or

LA = SA - (floor area) - (ceiling area)

LA = SA - 2*(area of the floor)

LA = 220 - 2*(LW)

LA = 220 - 2*(10*5)

LA = 220 - 100

LA = 120

--------------------

Answers:

Surface Area = 220 square feet

Lateral Area = 120 square feet

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

Problem 2

Imagine rotating the object so that the triangular face is resting on the flat ground. This means the triangular faces are the floor and ceiling. The walls of any prism are always rectangles.

Focus on the right triangle with leg b = 4 and hypotenuse c = 5.

Use the pythagorean theorem to find that a = 3 is the missing leg length.

The triangle has base = 4 and height = 3, so its area is base*height/2 = 4*3/2 = 6 square inches. This is the area of the floor and ceiling each.

--------------------

This is the summary so far

Those values are then plugged into the formulas below.

SA = surface area of a triangular prism

SA = 2*(base area) + depth*(a+b+c)

SA = 2*(6) + 8*(3+4+5)

SA = 108

LA = lateral area

LA = depth*(a+b+c)

LA = 8*(3+4+5)

LA = 96

or

LA = SA - 2*(floor area)

LA = 108 - 2*(6)

LA = 96

Note that a+b+c = perimeter of the triangular base.

--------------------

Answers:

Surface Area = 108 square inches

Lateral Area = 96 square inches

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

Problem 3

Imagine rotating the figure so that the octagon is resting on the flat ground.

Refer to the screenshot below to see the steps on computing the area of the regular octagon, aka the floor area.

The floor area is approximately 120.710678 square cm. The same goes with the ceiling because the floor and ceiling are congruent regular octagons that are parallel.

Each rectangular wall has an area of 5*22 = 110 square cm. Eight identical walls give a total lateral area of 8*110 = 880 square cm.

Add the floor and ceiling area to the wall area to get the total surface area

floor + ceiling + walls = 120.710678 + 120.710678 + 880 = 1121.421356

--------------------

Answers:

Surface Area = 1121.421356 square cm (approximate)

Lateral Area = 880 square cm

Answer:

(7, - 28 )

Step-by-step explanation:

y = x - 35 → (1)

y = - 4x → (2)

substitute y = x - 35 into (2)

x - 35 = - 4x ( add 4x to both sides )\

5x - 35 = 0 ( add 35 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

substitute x = 7 into either of the 2 equations

substituting into (1)

y = 7 - 35 = - 28

solution is (7, - 28 )

Answer:

  7 cm

Step-by-step explanation:

The circumference of a circle is given in terms of its radius by the formula ...

  C = 2πr . . . . where r represents the radius

__

Using the given values in the formula, we can find the radius to be ...

  C/(2π) = r

  43.96/(2×3.14) = r = 7 . . . . cm

The radius of the circle is 7 cm.

The line plot that represents the height of the flowers in the garden is the line plot named a.

A line plot is a diagram that is used to represent data. The line plot is made up of dots that are used to represents the frequency with which the number appears.

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The steps to translate the triangle ABC to A'B'C' are Shifted 3 units right and 2 units up.

The correct option is (B).

By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.

As per the given diagram:

We are given the diagram of two triangles drawn on a graph.

With the help of the graph, we can easily figure out the coordinates of each point of the triangle.

The steps to translate the triangle will be the same as that to translate any vertices of the triangle.

Let us consider A:

Coordinates of A = (2, 5)

Coordinates of A' = (5, 7)

For translating A to A':

3 units in +ve x direction. {right}

2 units in +ve y direction. {up}

Hence, The steps to translate the triangle ABC to A'B'C' are Shifted 3 units right and 2 units up.

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Answer:

Step-by-step explanation:

Answer: the correct answer is.....101 ft sq.

Step-by-step explanation:

Answer:

the answer is 13, all you had to do was substitute 5 for N, so all you had to do was 3 + 2(5) which is 13

Teniendo en cuenta la definición de porcentaje, el pago original sin la mora del 10% es 130.

El porcentaje es una forma de referirse a una proporción tomando como referencia el número 100.

En otras palabras, el porcentaje es una fracción o una parte de 100, denominándose también como tanto por ciento, y se indica con el símbolo %.

Es decir, el porcentaje es la forma de expresar un número como una fracción que tiene como denominador el número 100 y representa la porción de un todo, que se obtiene dividiendo el monto conocido entre el total y multiplicándolo por 100.

El pago original es 100%. Al cobrarse una mora del 10%, se debe pagar 110% del pago original, representada por la letra P.

Entonces:

110%×P=143

Resolviendo:

P= 143 ÷ 110%

Considerando que un porcentaje es una cantidad determinada de cada 100 unidades, entonces  110 % significa 110 de cada 100 unidades, y es equivalente a 110/100. Entonces:

P=143 ÷ [tex]\frac{110}{100}[/tex]

P= 130

Entonces, el pago original sin la mora del 10% es 130.

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Answer:

25.9

Step-by-step explanation:

So calculate volume of the mold, which is a cone: (pi) r2 (h/3) where r is radius and h is height

So diameter/2 = r which is 1.5 in

h = 2 in

V = (3.14)(1.52)(2/3) = 4.71 in3

If 1 in3 = 0.55 oz, and 1 mold = 4.71 in3, then one mold = 2.59 oz

2.59 oz * 10 cupcakes = 25.9 oz total

Step-by-step explanation:

the volume of a cone is

pi×r² × h/3

the radius is always half of the diameter, so, it is here

12/2 = 6 in.

h = 10 in.

so, we have here

pi×6²×10/3 = 3.14 × 36 × 10/3 = 3.14×120 = 376.8 in³.

2 cupcakes have then

376.8 × 2 = 753.6 in³

1 in³ = 0.55 ounces

so, the weight of 2 such cupcakes is

0.55 × 753.6 = 414.48 ounces ≈ 414.5 ounces

The expression that represents the volume of the empty space is  9³ -  4 / 3 π(4.5)³ cubic units.

The volume of the empty space can be represented as follows

volume of the empty space = volume of cube - volume of sphere

Therefore,

volume of sphere = 4 / 3 πr³

where

Volume of cube = L³

where

Therefore,

volume of cube = 9³

volume of sphere = 4 / 3 π(4.5)³

Hence,

volume of the empty space = 9³ -  4 / 3 π(4.5)³

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Answer:

D

Step-by-step explanation:

other dude typed too much lam

Answer:

Its d

Step-by-step explanation:

The other person is wrong because they only solved for one water dispenser you are supposed to solve for all three :)

Using the volume of the rectangular prism, it is found that the three dispensers will take 1,344 in³ in Sid's refrigerator.

The volume of a rectangular prism of length l, width w and height h is given by the multiplication of these three dimensions, that is:

V = lwh.

In this problem, there are three dispensers, each with l = 4 in, h = 14 in, w = 8 in, hence the volume is given by:

V = 3 x 4 x 14 x 8 = 1,344 in³.

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Answer:

150 minutes

Step-by-step explanation:

30 × 5 = 150 minutes

The simulation that can best represent the chances of the Pinkertons having a boy or a girl is Flipping a coin.

The question asks for the simulation that can represent the likelihood of having a boy or a girl.

Because there are two outcomes, they each have a 50% probability.

A good simulation to show this would therefore be flipping a coin because this has two outcomes as well which are heads or tails.

Find out more on using a coin for probability at https://brainly.com/question/1334780.

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