A construction worker needs to put a rectangular window in the side of a

On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negativ

oksian1 [2.3K]

The corresponding height of the triangle is 1.6 units

The formula for calculating the area of a triangle is expressed as:

$A=\frac{1}{2} bh$

b is the base of the triangle

h is the height of the triangle

Given the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units$

The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:

$A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\$

Substituting the coordinate points:

$A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2$

Recall that:

$A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h= 1.6 units$

Hence the corresponding height of the triangle is 1.6 units

Learn more on area of triangles here: brainly.com/question/17335144

8 0

2 years ago

Mr. Gentry teaches two science classes. There are 28 students in his biology class and 21 students in his environmental science

saveliy_v [14]

Answer:

1gsig1ogsjq sv1sg1isvk1z i1gz

Step-by-step explanation:

Gjqziqgzi1gzva j1vziqvzn1gaigakhixg1z

8 0

2 years ago

A manufacturer earns Rs4500 in the first month and Rs 6000 in second month. On plotting these points a manufacturer observes a l

UkoKoshka [18]

Answer:

$f(x) = 1500x +3000$

Step-by-step explanation:

Given

Represent the months with x and the earnings with y.

So:

$(x_1,y_1) = (1,4500)$

$(x_2,y_2) = (2,6000)$

Required

Determine the linear function

First, calculate slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{6000 - 4500}{2 - 1}$

$m = \frac{1500}{1}$

$m = 1500$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

$y = 1500(x - 1) + 4500$

$y = 1500x - 1500 + 4500$

$y = 1500x +3000$

As a function, we have:

$f(x) = 1500x +3000$

7 0

2 years ago

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equa

Orlov [11]

it cant be a negative number or zero

so now you are left with 0.5, 2 and 7.9

15.7 - 0.5 = 15.2 ( 15.2/2 = 7.6) this is possible

15.7 - 2 = 13.7 ( 13.7/2 = 6.85) this is possible

15.7 - 7.9 = 7.8 ( 7.8/2 = 3.9) (7.9/2 = 3.95) since the sides would be shorter than half the base this is not possible to form a triangle

so b can be either 0.5 or 2

Please mark brainliest

4 0

3 years ago

Read 2 more answers

13. What is the value of x?

Scilla [17]

9514 1404 393

Answer:

B. 50

Step-by-step explanation:

The alternate interior angles at transversal t across parallel lines AB and CD will be congruent.

2x +40 = x +90

x = 50 . . . . . . . . . . . subtract x+40

The value of x is 50.

_____

<em>Check</em>

2x+40 = 2×50 +40 = 140

x+90 = 50 +90 = 140 . . . . so the obtuse angles are congruent, as they should be

___

<em>Additional comment</em>

The lines AB and CD are not shown as being parallel. We have to assume they are, or we cannot work the problem.

5 0

3 years ago