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photoshop1234 [79]

4 years ago

14

The medians of a triangle intersect at a point called the

1 answer:

lapo4ka [179]4 years ago

8 0

Answer:

The medians of a triangle intersect at a point called the

centroid of the triangle

Step-by-step explanation:

The median of a triangle is a segment joining any vertex to the midpoint of the opposite side. The medians of a triangle are concurrent (they intersect in one common point). The point of concurrency of the medians is called the centroid of the triangle.

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The sum of the circumference of two circles is 38π cm and the sum of their areas is 193π cm². Calculate the radii of the circles

sdas [7]

Answer:

The radii of the circles are 12 cm and 7cm.

Step-by-step explanation:

Let the radii of the circles be $r_{1}\ and\ r_{2}$

Given:

Sum of circumference of two circles= 38π cm

Formula for circumference of a circle with radius r = 2πr

$2\pi r_{1}+2\pi r_{2}=38\pi \\r_{1}+r_{2}=19$ ------------1

Sum of areas of two circles= 193π cm²

Area of circle with radius r = πr²

$\pi r_{1}^{2}+\pi r_{2}^{2}=193\pi \\r_{1}^{2}+r_{2}^{2}=193$ -------2

Substituting r2 = 19 - r1 in equation 2 we get:

$r_{1}^{2}+(19-r_{1})^{2}=193\\2r_{1}^{2}-38r_{1}+168=0\\r_{1}^{2}-19r_{1}+84=0\\(r_{1}-12)(r_{1}-7)=0\\r_{1}=12\ or\ 7$

Then r2 = 19 - r1

$r_{2}=12\ or\ 7$

7 0

3 years ago

The dimensions of the triangle are decreased to 75% Of there original measurements what is the area of the new triangle ?

Alenkasestr [34]

Answer:

Area of the new triangle = 0.28125ab square units.

Step-by-step explanation:

Take an example of a right-angled triangle with sides a, b and c.

Where a is the height and b is the base and c is the hypotenuse.

Area of the original triangle is given by: $\frac{1}{2}$ × base × height

In our case, area = $\frac{1}{2}$ × a × b

After the dimensions of our triangle have been decreased to 75%, new area becomes:

$\frac{1}{2}$ × 0.75a × 0.75b = 0.28125ab square units.

8 0

3 years ago

Find the slope of the line that passes through ( 2 , 7 ) and ( – 4 , 19 ) .

12345 [234]

Answer:

-2

Step-by-step explanation:

slope form: y2-y1/x2-x1

points: x1, y1 (2,7) and x2,y2 (-4,19)

substitute the points into the form: 19-7/-4-2

simplify: 12/-6 = -2

8 0

1 year ago

In an orchestra the ratio of trombones to violas is 1 to 3.

Alchen [17]

Not entirely sure about question a... but b would be (lol) 27

Violas Trombones

1 3
2 6
3 9
4 12
5 15
6 18
7 21
8 24
9 27 trombones in all

8 0

3 years ago

Kayla drives 15 miles in 20 minutes. If she drove one hour in total at the same rat how far did she go? Before you try that prob

alisha [4.7K]

Answer:

Kayla drove 45miles

5 0

3 years ago

Read 2 more answers