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3 years ago

The diagram below represents the net of a triangular prism.

Mathematics

2 answers:

Sphinxa [80]3 years ago

6 0

Answer:

yes

Step-by-step explanation:

ExtremeBDS [4]3 years ago

6 0

Answer:

336cm2

Step-by-step explanation:

The diagram is divided ninto 5 parts that is rectangles ABCD, CHGD, GFEH and triangles CIH and DGJ.

Area of rectangle ABCD= lxb

=12x6=72cm2

Area rectangle CDHG=lxb

12x8=96cm2

Area rectangle HGFE= lxb

=10x12=120cm2

Area of triangles CIH and DIG= 2x1/2xbxh

=6x8=48cm2

Surface area of the triangular prism=Area of rectangle ABCD+Area rectangle CDHG+Area rectangle HGFE+Area of triangles CIH and DIG

72+96+120+48=336cm2

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Consider the trianglular region with vertices (0,0) (6,0) and (0,6). find the x and y coordinates of the centroid

kondor19780726 [428]

Let A=(0,0)(x₁,x₂), B=(6,0)(x₂,y₂) and C=(0,6)(x₃,y₃)

Centroid of ΔABC is given by,

G(x,y) = [x₁+x₂+x₃/3 , y₁+y₂+y₃/3] = [0+6+0/3 , 0+0+6/3] = [2,2]

6 0

3 years ago

F(n) = n - 4; Find f(2)

soldi70 [24.7K]

Answer:

f(2)= -2

Step-by-step explanation:

We want to find f(n) when n is equal to 2, so we can substitute 2 in for n.

f(n)=n-4

f(2)=2-4

f(2)= -2

5 0

3 years ago

A total of 805 tickets were sold for the school play. They were either adult tickets or student tickets. There were 55 more stud

leonid [27]

Answer:

375 adult tickets were sold

Step-by-step explanation:

We know that the total amount of tickets sold is 805 tickets so that is our sum.

Then we know that there were 55 more student tickets sold than adult tickets. Since we don't know the amount of student tickets, we will use x.

So you would use x+55 for the student tickets.

Now, we don't know how many adult tickets either so we will use x for the amount of adult tickets.

So now, our equation would be:

805= x+55+x

Simplify:

805= 2x+55

Subtract 55 from both sides:

750= 2x

Divide each side by 2 so that we get x by itself:

375=x

Since x equals 375, there were 375 adult tickets sold.

4 0

3 years ago

Write an equation in point slope form that goes through the point (3,5) and is perpendicular to the line y=1/3x-7

Kisachek [45]

Answer:

$y - 5 = - 3(x - 3)$

Step-by-step explanation:

our original equation

$y = \frac{1}{3} x - 7$

A perpendicular slope of a line is the negative reciprocal

So our slope would be -3

point slope form is

$y - y1 = m(x - x1)$

let's substitute our given point (3, 5) and our perpendicular slope, -3

$y - 5 = - 3(x - 3)$

5 0

3 years ago

The coordinates of the vertices of quadrilateral ABCD are A(−5, 1), B(−2, 5), C(5, 3), and D(2, −1). Drag and drop the choices i

Naya [18.7K]

Slope of AB = 4/3, Slope of BC = -2/7, Slope of CD = 4/3, Slope of AD = -2/7 and Quadrilateral ABCD is a parallelogram because both pairs of opposite sides are parallel.

<h3>How to find the slope of a quadrilateral?</h3>

We are given the coordinates of the quadrilateral ABCD as;

A(−5, 1), B(−2, 5), C(5, 3), and D(2, −1).

Slope of AB = (5 - 1)/(-2 + 5) = 4/3

Slope of BC = (3 - 5)/(5 + 2) = -2/7

Slope of CD = (-1 - 3)/(2 - 5) = 4/3

Slope of AD = (-1 - 1)/(2 + 5) = -2/7

Thus we can see that both pairs of slope are equal which denotes that both pairs are parallel.

Read more about Slope of quadrilateral at; brainly.com/question/16691874

#SPJ1

4 0

2 years ago