All categories

3 years ago

The vertices of a triangle are located at L(4, –3), M(1, –3), and N(1, 0). What is the approximate perimeter of triangle LMN?

Mathematics

1 answer:

adelina 88 [10]3 years ago

4 0

Answer:

Step-by-step explanation:

you need to find the distance between points L, M, N to know the length of sides LM, MN, NL

use the distance formula

d= √(x2-x1)² +(y2-y1)², where the points are (x1, y1) and (x2, y2)

LM = √(4-1)² + (-3- -3)² = √3² + 0² = 3

MN = √(1-1)² + (-3-0)² = √0² + 9 = 3

NL = √(4-1)² + (-3-0)² = √3² + 9 = √18 = 3√2

The perimeter is LM+MN+NL = 3+3+3√2 = 6+3√2 ≈ 10.243

You might be interested in

Evaluate 2/ 3 ÷ 4 /5 Give your answer as a fraction in its simplest form.

gulaghasi [49]

Step-by-step explanation:

Our problem:

$\frac{2}{3} \div \frac{4}{5} = unknown$

How to solve?

Find the reciprocal (opposite) of 4/5, then multiply. Simplify if necessary.

Find the reciprocal:

$\frac{2}{3} \times \frac{5}{4} = unknown$

Multiply:

$\frac{2}{3} \times \frac{5}{4} = \frac{10}{12}$

Simplify:

$\frac{10 \div 2}{12 \div 2} = \frac{5}{6}$

5/6 is your answer.

7 0

3 years ago

I will give brainlest thanks

Dmitrij [34]

The answer is choice A- 68

7 0

3 years ago

Read 2 more answers

An 8-sided die is rolled. Find the probability of rolling a 1 or even number

leonid [27]

The probability of rolling a 1 or an even number is 5/8.

If there are 8 sides of the die from numbers 1-8, the numbers of the probability are 1, 2, 4, 6, and 8. That makes 5 numbers out of 8 possible numbers. So, the probability is 5/8.(62.5%)

7 0

4 years ago

Find The value of x, y and z

Ratling [72]

Answer:

x = 18 ; y = 10 ; z = 102°

Step-by-step explanation:

The triangle in the pic is an isosceles triangle.

As it is an isosceles triangle , it's two sides will be equal .

$= > 3x - 42 = 12$

$= > 3x = 42 + 12 = 54$

$= > x = \frac{54}{3} = 18$

Also, both the base angles will be equal.

$4y - 1 = 39$

$= > 4y = 39 + 1 = 40$

$= > y = \frac{40}{4} = 10$

According to angle sum property of a triangle , sum of measure of all the angles of a triangle is equal to 180°. So,

$z + 39 + 39 = 180$

$= > z + 78 = 180$

$= > z = 180 - 78 = 102$

5 0

3 years ago

Which point lies on a circle with a radius of 5 units and center at P(6, 1)?

guapka [62]

Answer:

R (2,4)

soln

center(h,k)=(6,1)

radius (r)=5units

eqn of circle is (x-6)^2+(y-1)^2=5^2

2 2

or, 25=x +y -12x-2y+36+1 now , only the given point (6,1)satisfies the eqn so this point lies on circle

3 0

3 years ago

Read 2 more answers