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Amiraneli [1.4K]
3 years ago
10

Each side of an equilateral triangle measures 30cm. Find the length of an altitude, a , of the triangle?

Mathematics
1 answer:
Archy [21]3 years ago
6 0

Answer:

X=25.98cm

Step-by-step explanation:

From the question we are told that:  

Length of each side l=30cm

Let the triangle be divide by two form a right angle triangle with base angles as 90 \textdegree(angle of perpendicularity) and 60 \textdegree (angle on each vertices of an equilateral triangle)

Generally the equation for the Altitude X is mathematically given by

Trigonometric Rule

X=30sin60

X=15\sqrt{3}

X=25.98cm

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Mr.Williams, a parking lot owner, sold 20% of his lot to his neighbor. Later that year he sold 20% of the remainder of his lot t
riadik2000 [5.3K]

Answer: He still owns 64% of the Mr.Williams' original parking.

Step-by-step explanation:

Let x = Area of the original parking plot.

First he sold 20% of his lot to neighbor .

Sold plot = 20% of x = 0.20x  [Replace 'of' by '×' and divide number by 100 to remove %]

Reminder= x-0.20x= (1-0.20)x=0.80x

Again he sold 20% of the remainder .

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= 0.16x

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Percent of Mr.Williams' original parking lot does he still own = \dfrac{0.64x}{x}\times100=64\%

Hence, he still owns 64% of the Mr.Williams' original parking.

4 0
2 years ago
Mikis ice cream parlor sold 345 scoops of ice cream on Saturday and 21 scoops on Sunday how many more were sold on Saturday then
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5 0
2 years ago
What is the solution set of the equation using the quadratic formula?
oee [108]

(1)

we are given

x^2+6x+10=0

we can use quadratic formula

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now, we can compare and find a , b and c

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{−3+i, −3−i}.........Answer

(2)

we are given equation as

x^2-8x+14=0

Since, Jamal solve this equation by completing square

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so,  subtract both sides by 14

x^2-8x+14-14=0-14

x^2-8x=-14

we can write

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so, we will add both sides by 4^2

x^2-8x+4^2=-14+4^2

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4 0
2 years ago
Evaluate the expression 7^2/x^2-2 for x =3
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Answer:

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answer is 7

Step-by-step explanation:

8 0
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