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3 years ago

Find the measure of each side of angle abc with vertices a(-1,5) b(6,1) and c(2,-6)

Mathematics

1 answer:

Alex17521 [72]3 years ago

5 0

Answer:

√65,√65 and √129

Step-by-step explanation:

To find the measure of each side of a triangle, we use the distance formula to get it.

The distance Formula is given as:

Distance between two points = √[x2-x1]² + [y2-y1]²

A= (-1, 5), B=(6,1), C=(2,-6)

Going by the distance formula:

Distance AB is given as:

AB= √[6-(-1)]² + [1-5]²

AB= √49 + 16 = √65

Distance BC is given as:

BC= √[2-6]² + [-6-1]²

BC= √16 + 49 = √65

Distance AC ia given as:

AC= √[2-(-1)]² + [-6-5]²

AC= √3² + 11² = √129

Since two sides are equal, the triangle in question is an isosceles triangle.

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Nadusha1986 [10]

Answer:

The probability of rolling an even number would be $\frac{1}{2}$ or 50%.

Step-by-step explanation:

A standard number cube has 6 sides that features numbers 1 to 6 on each side. Since there are three even numbers (2, 4, 6) total on the sides of the number cube, that means the theoretical probability of rolling an even number would be $\frac{3}{6}$ , which simplifies to $\frac{1}{2}$ or 50%.

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2 years ago

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Bess [88]

Answer:

$47,616

Step-by-step explanation:

49,600 x .04 = 1984

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2 years ago

In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.

Mila [183]

Answer:

JL = 32

Step-by-step explanation:

We are told in the above question that:

In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.

From the attached diagram, we can see that

JL : JK = JK: JM

Therefore,

JL/ JK = JK /JM

Where JL = Unknown

JK = 24

JM = 18

JL/ 24 = 24/18

Cross Multiply

24 × 24 = JL × 18

Divide both sides by 18

JL = (24 × 24) /18

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8 0

2 years ago

6. Calculate the area of the octagon in the figure below.

Kryger [21]

Answer:

$41\text{ [units squared]}$

Step-by-step explanation:

The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.

The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:

4 triangles (corners)
3 rectangles (one in the middle, two on top after you remove triangles)

Formulas:

Area of rectangle with length $l$ and width $w$ : $A=lw$
Area of triangle with base $b$ and height $h$ : $A=\frac{1}{2}bh$

Area of triangles:

All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.

Thus, the total area of one is $A=\frac{1}{2}\cdot 2\cdot 2=2\text{ square units}$

The area of all four is then $2\cdot 4=8$ units squared.

Area of rectangles:

The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of $3\cdot 2=6$ units squared, and the both of them have a total area of $6\cdot 2=12$ units squared.

The last rectangle has a width of 7 and a height of 3 for a total area of $7\cdot 3=21$ units squared.

Therefore, the area of the entire octagon is $8+12+21=\boxed{41\text{ [units squared]}}$

4 0

2 years ago

The group has a 6 foot long table and a plastic tablecloth for the sale. The tablecloths package states that the tablecloth is 1

Alexxandr [17]

Yes because There are 182.2 cm in 6 feet

6 0

2 years ago

Find the measure of each side of angle abc with vertices a(-1,5) b(6,1) and c(2,-6)​

Find the measure of each side of angle abc with vertices a(-1,5) b(6,1) and c(2,-6)