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2 years ago

What is the surface area of this triangular prism

Mathematics

1 answer:

const2013 [10]2 years ago

6 0

The perimeter of the triangular end is 12 m, so the total rectangular area is
.. (12 m)*(8 m) = 96 m^2

There are two triangles with base 3 m and height 4 m, so their total area is
.. (3 m)*(4 m) = 12 m^2

The surface area of the figure is the sum of these
.. 96 m^2 +12 m^2 = 108 m^2

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What do the medians and ranges of two dot plots tell you about the data

Tatiana [17]

That both (along with the mean) help the data be described the data's spread, which can be the slope if only two points.

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2 years ago

Between which pair of decimals does the square root of 13 fall between

creativ13 [48]

Since 3 squared is 9 and 4 squared is 16, the square root of 13 will fall somewhere between 3 and 4

8 0

2 years ago

Julio says if you subtract 17 from my number and multiply the difference by - 2 the result is gonna be negative 12 what was Juli

Paha777 [63]

Answer:

Step-by-step explanation:

Taking an algebraic approach

let the number be n, then (n - 17) is 17 subtracted from number and

- 2(n - 17) = - 12 ( divide both sides by - 2 )

n - 17 = 6 ( add 17 to both sides )

n = 23

Thus Julio's number was 23

6 0

3 years ago

If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. Find the first term and the 20th term.

Reil [10]

The first term is 2 and the 20th term is 1048576 .

<u>Step-by-step explanation:</u>

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

⇒ $S_n = \frac{a(r^n-1)}{r-1}$

So ,Sum of first 12 terms is :

⇒ $S_1_2 = \frac{a(2^{12}-1)}{2-1}$

⇒ $8190=a(2^{12}-1)$

⇒ $\frac{8190}{4095}=a$

⇒ $a=2$

Now , nth term of a GP is

⇒ $a_n = ar^{n-1}$

So , 20th term is :

⇒ $a_2_0 = 2(2)^{20-1}$

⇒ $a_2_0 = (2)^{20}$

⇒ $a_2_0 = 1048576$

Therefore , the first term is 2 and the 20th term is 1048576 .

8 0

3 years ago

Lyrx [107]

3s + 4j = 360
1s + 3j = 220

This one we can solve using substitution, in that
s + 3j = 220 implies s = 220 - 3j (subtract 3j from each side).

Now substitute into the first equation:

3(220 - 3j) + 4j = 360. Solve for jackets.
660 - 9j + 4j = 360 [Distributive property]
660 - 5j = 360 [Add -9j + 4j]
Subtract 360 from each side, and add 5j to each side.
660 - 360 - 5j + 5j = 360 - 360 + 5j
300 = 5j
Divide each side by 5.
$60 = price of a jacket.

Three of these plus a shirt runs $220.
3(60) = 180
180 + s = 220
180 - 180 + s = 220 - 180 [Subtract 180 from each side]
s = 40

Now we double check.
3(40) + 4 (60) = 120 + 240 = 360. This satisfies the first equation.
We could check the second one too, but I'm satisfied.

4 0

3 years ago