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ElenaW [278]
3 years ago
13

PLEASE HELP!!!

Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

Answer:

h=\dfrac{10\sqrt{3}}{2}=5\sqrt{3}\ cm.

JP=5\sqrt{3}\ cm

Step-by-step explanation:

Connecting points O and E and points O and J, we get triangle EOJ. This triangle is equilateral triangle, because OJ=OE=JE=r=10 cm.

Since EP⊥IJ, then segment JP is the height of the triangle EOJ.

The height of the equilateral triangle can be found using formula

h=\dfrac{a\sqrt{3}}{2},

where a is the side length.

So,

h=\dfrac{10\sqrt{3}}{2}=5\sqrt{3}\ cm.

Therefore JP is 5√3 cm

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Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side Line segment
prisoha [69]

Answer:

<h2>A  16mm</h2>

Step-by-step explanation:

An equilateral triangle is a triangle that has all of its sides equal.

Perimeter of an equilaterial triangle = 3s where;

s is one side of the triangle.

Given the perimeter of ABC = 96mm

Substituting into the formula above to get s;

96 = 3s

s = 96/3

s = 32mm

Hence the length of one side of the triangle is 32mm

If a perpendicular bisector is drawn from angle A to side Line segment B C at point M, then MC will be half of BC and ΔAMC will be a right angled triangle.

Since all the sides of the triangle are equal, hence BC = 32mm. Since MC is the half of BC, then MC = 1/2 of 32mm

MC = 1/2 * 32mm

MC = 16mm

<em>Hence the length of Line segment MC is 16mm</em>

<em></em>

5 0
3 years ago
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100 POINTS PLEASE ANSWER FULLY!!
Kruka [31]

Answer:

15

Step-by-step explanation:

6 0
3 years ago
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The midpoint of the coordinates (3, 15) and (20,8) is -
Nat2105 [25]

Answer:

The midpoint of the given coordinates is (\frac{23}{2},\frac{23}{2})\ or\ (11.5,11.5).

Step-by-step explanation:

We have given two coordinates (3,15) and (20,8).

Let we have given a line segment PQ whose P coordinate is (3,15) and Q coordinate is (20,8).

We have to find out the mid point M(x,y) of the line segment PQ.

Solution,

By the mid point formula of coordinates, which is;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

On substituting the given values, we get;

M(x,y)=(\frac{3+20}{2}, \frac{15+8}{2})\\\\M(x,y)=(\frac{23}{2},\frac{23}{2})

We can also say that M(x,y)=(11.5,11.5)

Hence The midpoint of the given coordinates is (\frac{23}{2},\frac{23}{2})\ or\ (11.5,11.5).

3 0
3 years ago
If she will buy 35 T-shirts, 45 pairs of shorts, and 25 windbreakers, what will be her total cost?
svetoff [14.1K]

Answer:

Total\ Cost = \$973.75

Step-by-step explanation:

Given (Missing part of question)

T-shirts = $7.50

Shorts = $9.00

Windbreakers = $12.25

Required

Determine the total cost

Total Cost is calculated as follows;

Total\ Cost = Costs\ of\ T-Shirts + Costs\ of\ Shorts + Costs\ of\ Windbreakers

Total\ Cost = 35 * \$7.5 + 45 * \$9.00 + 25 * \$12.25

Total\ Cost = \$262.5 + \$405.00 + \$306.25

Total\ Cost = \$973.75

4 0
3 years ago
1) Find the value of 7x + 3y when x = 12 and<br>y = - 6.​
dezoksy [38]

Answer:

66

Step-by-step explanation:

7(12)+3(-6)

84-18=66

7 0
3 years ago
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