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ELEN [110]
4 years ago
8

The surface area of the triangular prism pictured below is 204 square centimeters. What is the height of the prism?

Mathematics
1 answer:
Fudgin [204]4 years ago
6 0
The picture in the attached figure

we know that
surface area=2*area of the base+perimeter*height

area of the base=area of the triangle
area of the base=3*4/2----> 6 cm²

perimeter of the base=perimeter of triangle
perimeter=3+4+5----> 12 cm
height=x cm

surface area=2*6+12*x
surface area=204 cm²
12+12*x=204
12*x=204-12
12*x=192
x=192/12
x=16 cm

the answer is
16 cm

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3 years ago
16. What is the measure of ZAOB?
skelet666 [1.2K]
Find angle a2 which is 40 degrees because it is parallel to angle c.

Find the total of d1 and d2.
total of d1 and d2: 180 - 40 - 40 = 100 degrees

Find d1 and d2 separately.
100 divided by 2 = 50 degrees

Use d1 to find b1 to find total of a1 and a2.

b1 is parallel to d1 so b1 = 50 degrees

a1 and a2 = 180 - 50 - 50 = 80 degrees

a1 = 80 divided by 2 = 40

Since a1 and c1 are parallel due to alternate angles, c1 is 40 degrees

Find b2 now which requires you to do total - minus all angles in the triangle with angle b2.

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AOB has b1 and a1.

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7 0
3 years ago
Describe in words how you would solve<br><br>the linear system y = 3x + 1 and y = - 2x + 3.
disa [49]

Answer:

Below.

Step-by-step explanation:

As both the right sides of the 2 equations are equal to y, by the transitive law of equality 3x + 1 = -2x + 3.

W then solve this equation for x then substitute this value of x  in the first equation ( y = 3x + 1) to find the value of y.  

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3 years ago
Which property is shown in the matrix addition below?<br> [-6 15 -2 ] + [6 -15 2 ] = [0 0 0
aksik [14]

Answer:

The property shown in matrix addition given is "Additive Inverse Property"

Step-by-step explanation:

First of all lets define what a matrix is.

A matrix is an array of rows and columns that consists of numbers. There are several types of matrices. The one in our question is a row matrix which consists of only one row.

There are several addition properties for matrices.

One of them is additive inverse property. The additive inverse of a matrix consists of the same elements but their signs are changed.

Additive inverse property states that the sum of a matrix and its additive inverse is a zero matrix.

\left[\begin{array}{ccc}-6&15&-2\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\end{array}\right] = \left[\begin{array}{ccc}0&0&0\end{array}\right]

Hence,

The property shown in matrix addition given is "Additive Inverse Property"

5 0
3 years ago
Melissa wrote this expression to describe the number of pencils she used during the school year. 15-p Which situation could be d
klemol [59]
She used 15 fewer pencil this year because 15-p= 15 less than the number she has.
hope i helped u.
4 0
3 years ago
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