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LiRa [457]
2 years ago
10

The lines below are perpendicular. If the slope of the green line is ą, what is

Mathematics
1 answer:
TEA [102]2 years ago
6 0

Answer:

See below

Step-by-step explanation:

If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B. -\frac{2}{3}  

<em><u>Hope this helps</u></em>

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One end of a 4ft iron rod is attached to the center of a pulley with radius of 0.5 ft. The other end is attached at a 40 degree
mr_godi [17]
We use the formula
L = rθ
where s is the arc length or the length of the wire
r is the distance from the center to the end of the rod
θ is the angle made by the rod with the wall

Substituting the values and converting the angle to radian measure
L = 4 (40°) (π/180°)
L = 2.79 feet<span />
3 0
2 years ago
Points H and F lie on circle c What is the length of line segment GH?
Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on  circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2} ......(ΔEGC is a right triangle)

(GC)^{2} = (GE)^{2} +(EC)^{2}

(GH + 9)^{2} = (9)^{2} +(12)^{2}

(GH )^{2} + (9)^{2} + 18GH = 81 + 144

(GH )^{2} + 81 + 18GH = 81 + 144

(GH )^{2} + 18GH = 144

Now, Let GH = <em>x</em>

x^{2} +18x = 144

On rearranging,

x^{2} +18 x - 144 = 0

x^{2} - 6x +24x + 144 = 0

x (x-6) + 24 (x - 6) =0

(x - 6) (x + 24) = 0

So x = 6  and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0
2 years ago
Read 2 more answers
A model spaceship costs $15.99 before tax. The tax on the model spaceship is 8%. What is the total cost of the model spaceship?
yan [13]
Model spaceship cost = $15.99
Tax % = 8%

Amount of tax = 15.99*0.08 = $1.279

Amount after tax = $15.99+$1.279 = 17.2692
After rounding-off to the nearest cent, it would be $17.27

So, your final answer is $17.27

Hope this helps!
6 0
2 years ago
Read 2 more answers
The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use
k0ka [10]

Answer:

2489ft^{2}

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}

<h3>Area of each circular section:</h3>

From the figure, we know that \alpha =2.21 radians and the radius is R=30ft. So, the are would be calculated with this formula:

A_{cs}=\frac{\pi R^{2}\alpha}{360\°}

Replacing all values:

A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}

Remember that 360\°=6.28radians

Therefore, A_{cs}=994.5ft^{2}

Now, the total are of the figure is:

A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}

Therefore the area of the symmetrical pool is 2489ft^{2}

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2 years ago
The chart shows winnings for, in dollars, for the highest-rated FASTCAR drivers for last driving season.
Hitman42 [59]

Answer:

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Step-by-step explanation:

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