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MrRa [10]
2 years ago
12

Find the total surface area of this triangular prism. 10 cm 6 cm 4 cm 8 cm

Mathematics
1 answer:
timama [110]2 years ago
7 0

Answer:

144

Step-by-step explanation

8x6=48

48 divided by 2=24

24x2=48

4x10=40

8x4=32

4x6=24

add them all together so 48+40+32+24=144

You might be interested in
A rectangle has sides that measure 2 x + 11 units long and 10 x + 1 units long. What is the expression that represents the perim
HACTEHA [7]

Answer:

(24x + 24) units

Step-by-step explanation:

A rectangle is a shape that has four sides in which all angles are equal and opposite sides are equal and parallel to each other. The perimeter of a rectangle is the sum of all its sides. Since opposite sides are equal, the perimeter is given as:

Perimeter = 2(length + width)

Since the sides of the rectangle are 2 x + 11 units long and 10 x + 1 units long. Hence:

Perimeter = 2(2x + 11 + 10x + 1)

Perimeter = 2(2x + 10x + 11 + 1) = 2(12x + 12)

Perimeter = (24x + 24) units

7 0
3 years ago
Help! In parallelogram LMNO below, find the length of MO
pashok25 [27]

Answer:

Step-by-step explanation:

The diagonals of a parallelogram bisect each other.

5y - 8 = 3y + 1              Add 8 to both sides

5y = 3y + 1 + 8             Subtract 3y from both sides

5y - 3y = 9                   Combine

2y = 9                          Divide by 2

2y/2 =9/2  

y = 4. 5

5y - 8 =

5(4.5) - 8 =

22.5 - 8 =

14.5

That represents 1/2 of MO

MO = 2 * 14.5

MO = 29

5 0
2 years ago
The perimeter of a rectangular deck is 4 times its width. If the deck's perimeter is 30 feet, what is the deck's area?
RSB [31]

Answer:

i think it is 120

Step-by-step explanation:

4 multiplied by 30 is 120

4 0
3 years ago
Find all the zeros for each function P(x)=x^4-4x^3-x^2+20x-20
ivanzaharov [21]

Answer:

The zeros of the given polynomial function are

2,2,\pm\sqrt{5}

Step-by-step explanation:

Given polynomial is P(x)=x^4-4x^3-x^2+20x-20

To find the zeros equate the given polynomial to zero

ie., P(x)=0

P(x)=x^4-4x^3-x^2+20x-20=0

By using synthetic division we can solve the polynomial:

2_|   1     -4     -1      20      -20

       0      2     -4     -10       20

   _____________________

       1     -2      -5      10      |_0

Therefore x-2=0

x=2 is a zero of P(x)

Now we can write the cubic equation as below:

x^3-2x^2-5x+10=0

Again using synthetic division

2_|   1     -2     -5     10      

       0      2      0    -10    

    ______________

       1      0      -5     |_0

Therefore x-2=0

x=2 is also a zero of P(x).

Now we have x^2+0x-5=0

x^2-5=0

x^2=5

x^=\pm\sqrt{5} is a zero of P(x)

Therefore the zeros are 2,2,\pm\sqrt{5}

8 0
3 years ago
What is interest earned on 3500 invested at 6% compounded quarterly or 12 years
enyata [817]
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3500\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &12
\end{cases}
\\\\\\
A=3500\left(1+\frac{0.06}{4}\right)^{4\cdot 12}\implies A=3500(1.015)^{48}

so, the interest earned then will be  A - 3500.
6 0
3 years ago
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