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Answer:

108°

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]35^{2}[/tex] = [tex]11^{2}[/tex] + [tex]30^{2}[/tex]

[tex]\frac{204}{-660}[/tex] = [tex]\frac{-660 cos}{-660}[/tex]

cos = -0.309

The measure of the greatest angle in the triangular fence is approximately 108.5 degrees. To find the measure of the greatest angle in the triangular fence, you can use the Law of Cosines.

The Law of Cosines states:

[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]

where c is the side opposite the angle C, and a and b are the other two sides of the triangle.

In this case, the sides of the triangle are:

a = 11 yards

b = 30 yards

c = 35 yards

Now, let's find the measure of angle C (the angle opposite the side with length 35 yards):

[tex]c^2 = a^2 + b^2 - 2ab * cos(C)\\35^2 = 11^2 + 30^2 - 2 * 11 * 30 * cos(C)\\1225 = 121 + 900 - 660 * cos(C)\\1225 = 1021 - 660 * cos(C)\\[/tex]

Now, isolate cos(C) by moving the terms around:

[tex]660 * cos(C) = 1021 - 1225\\660 * cos(C) = -204[/tex]

Now, divide by 660 to find cos(C):

[tex]\cos(C) \approx -0.3091[/tex]

Now, find the measure of angle C by taking the inverse cosine (cos^-1) of -0.3091:

[tex]C \approx cos^-1(-0.3091)\\C \approx 108.5 degrees[/tex] (rounded to one decimal place)

Since this is the angle opposite the side with length 35 yards, it is the greatest angle in the triangle.

So, the measure of the greatest angle in the triangular fence is approximately 108.5 degrees.

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Answer:

12

Step-by-step explanation:

-120 = -10c

12 = c

Answer:

c = 12

Step-by-step explanation:

The problem is multiplying a number, in this case c, by -10 to get -120. So, you would preform the opposite operation, which is division.

[tex]\frac{-120}{-10} =\frac{-10c}{-10}[/tex]

12 = c

Answer:

It's sales tax I believe

9514 1404 393

Answer:

  2∛7

Step-by-step explanation:

Putting the expression in simplest form will factor cubes from under the radical.

  [tex]\displaystyle\sqrt[3]{56}=\sqrt[3]{2^3\cdot7}=\boxed{2\sqrt[3]{7}}[/tex]

Answer:

9.8 cm

Step-by-step explanation:

Volume of a sphere, V = 4/3 πr³

V = 500cm³

π = 3.14

500 = 4/3 * 3.14 * r³

500 * 3 = 4 * 3.14 * r³

1500 = 12.56r³

r³ = 1500 / 12.56

r³ = 119.42675

r = (119.42675)^1/3

r = 4.9245574

Diameter = 2r

Diameter = 2 * 4.9245574

Diameter = 9.849

= 9.8cm

Answer:

here is your correct answer and listen question no four option are incorrect

Answer:

she makes 15826 $ each year

Answer:

3 hours and 40 minutes.

Step-by-step explanation:

To make it easier, we can first convert 1 hour 50 minutes to all minutes. 1 hour is 60 minutes, so it would be 110 minutes.

The problem tells us that 1/2 of the work takes 110 minutes, and we need to find the amount of time it takes to complete the entire work.

1/2 is well, half of a whole. That means it is 50% done, and 50% takes 110 minutes to complete. The other 50% then, would ALSO take 110 minutes, as it is the same. Therefore, since there are two sets of 110 minutes, it would be 110*2, giving us 220 minutes, or 3 hours and 40 minutes.

Answer:

[tex]x = 2\sqrt{2}, -2\sqrt{2}[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 8 = 0[/tex]

Required

Solve

We have:

[tex]x^2 - 8 = 0[/tex]

Add 8 to both sides

[tex]x^2 = 8[/tex]

Take square roots of both sides

[tex]x = \±\sqrt{8}[/tex]

Expand

[tex]x = \±\sqrt{4*2}[/tex]

This gives:

[tex]x = \±2\sqrt{2}[/tex]

Split

[tex]x = 2\sqrt{2}, -2\sqrt{2}[/tex]

Answer:

Price-Town

Step-by-step explanation:

:D

Answer:

E, 5, 3

Step-by-step explanation:

We just need to connect the rectangle with dots equally placed.

Answer:

sin 40 - sin 20 = ​0.3007674664 approximately

Step-by-step explanation:

We cannot write the given expression in exact form, so you have to use the calculator, which works out to be 0.3007674664 approximately.

Answer:

i had a stroke while reading this

Step-by-step explanation:

Answer:

son: 19

mother: 38

father: 43

Step-by-step explanation:

x + 2x + 2x+5 = 100

5x = 95

x = 19

Answer:

a=0.2

Step-by-step explanation:

Let's solve your equation step-by-step.

2.8=14a

Step 1: Flip the equation.

14a=2.8

Step 2: Divide both sides by 14.

14a/ 14 = 2.8/ 14

a=0.2

Answer:

a=0.2

Answer:

1) draw a line from (2,4) to (6,4)

2) 27.5

3) 16

4) 43.5

5) $97.88

Step-by-step explanation:

1) draw a line from (2,4) to (6,4)

2) (7+4)/2=5.5x5=27.5

3) 4x4=16

4) 27.5+16=43.5

5) 43.5x2.25= 97.875 = $97.88

Answer:

(x + 1)^2 + (y + 2)^2 = 106

Step-by-step explanation:

The formula for a circle is

(x - h)^2 + (y - k)^2 = r^2

Where (h, k) is the center of the circle and r is the raadius

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

The center is the midpoint of the diameter end points

(h, k) = ( (-6 + 4)/2 , (-11 + 7)/2 )

(h, k) = (-1, -2)

The radius is the distance from the center to an endpoint

Using (h, k) and Q

r^2 = (4 - -1)^2 + (7 - -2)^2

r^2 = 5^2 + 9^2

r^2 = 106

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

Plug into the circle formula

(x + 1)^2 + (y + 2)^2 = 106

Answer:

8 and 5

Step-by-step explanation:

Answer:

1. 1/3 and 3

2. 4 and 4

Step-by-step explanation:

Step-by-step explanation:

Solution 1 :-

> Scale = 12/4 = 3 .

> x/ 9 = 4/12

> x = 1/3 × 9

> x = 3 in .

Solution 2 :-

> Scale = 8/2 = 4

> y / 1 = 8/2

> y = 4 ft .

Answer:

2h

Step-by-step explanation:

You can solve this one by adding their rates, but you have to invert the numbers they give you to find the rate.  Rate is measured in something per unit of time, and "per" indicates division.  So the rates are: 1/3 of an hour (Sally) and 1/6 of an hour (Steve).  So add the rates: 1/3 + 1/6 = 1/2.  (1/3 is 2/6, and 2/6 + 1/6 = 3/6).  Since their combined rate is 1/2 of a room in one hour, it takes them two hours to paint the room.  

9514 1404 393

Answer:

  23

Step-by-step explanation:

The volume of the square pyramid with base of side length s and height h is ...

  V = 1/3s²h

  V = 1/3(30 mm)²(18 mm) = 5400 mm³

The volume of a block of wax is ...

  V = LWH

  V = (8 mm)(6 mm)(5 mm) = 240 mm³

Then the number of blocks of wax required for a candle is ...

  (5400 mm³/candle)/(240 mm³/block) = 45/2 blocks/candle

The candle is equal to the volume of 22.5 blocks of wax. We presume Devin will want to melt whole blocks, so ...

Devin needs 23 blocks of wax to make the candle.

Answer:

The number of shuttles completed successfully is recorded as the score of that runner. The score is recorded in Level. Shuttles format (e.g. 9.5). The maximum laps on the PACER test is 247, which former Central Middle School student Dennis Mejia achieved, the only person to ever reach such a level.

Step-by-step explanation:

Answer:

Angle × =180 - 126

Angle × = 54

The measure of the angle (θ) is equivalent to sin⁻¹(6.3/14.5).

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. Mathematically, it can be written as -

(hypotenuse)² = (base)² + (perpendicular)²

Given is a right angle triangle with hypotenuse as 14.5 meters and

opposite side as 6.3 meters.

We can write sine of the angle (θ) as -

sin(θ) = P/H

sin(θ) = Opposite side/Hypotenuse

sin(θ) = 6.3/14.5

(θ) = sin⁻¹(6.3/14.5)

Therefore, the measure of the angle (θ) is equivalent to sin⁻¹(6.3/14.5).

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The amount of money that was spent is $120.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

In this case, the women went to Shopping and first she spent 4/5th of all money she had in her purse, and then she lost 2/3 of what was remaining.

The fraction of money left will be:

= 1 - 4/5 - (2/3 × 1/5)

= 1 - 4/5 - 2/15

= 1/15

Since she had $10 left the original amount will be:

= $10 ÷ 1/15

= $10 × 15

= $150

The amount spent will be:

= 4/5 × $150

= $120

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Answer:

The common difference is 4.

Step-by-step explanation:

[tex]a_n=a_1+(n-1)d[/tex]  You get to term number n by starting with term number 1 and adding the common difference  d  n-1 times.

[tex]a_1=3\text{, and }a_8=31[/tex]

[tex]a_8=a_1+(8-1)d\\\\31=3+7d\\\\28=7d\\\\d=4[/tex]

Answer:

Step-by-step explanation:

Required volume is: