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3 years ago

What is the volume of the triangular prism shown below ?

Mathematics

2 answers:

jekas [21]3 years ago

7 0

Answer:

Step-by-step explanation:

The volume (V) of a triangular prism is

V = area of triangular end × length

area of Δ = $\frac{1}{2}$ bh

where b is the base and h the perpendicular height

here b = 8 and h = 5, so

area = 0.5 × 8 × 5 = 20 units²

the length of the prism is 10, hence

V = 20 × 10 = 200 units³

puteri [66]3 years ago

5 0

The answer to your question is b

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Determine the greatest common factor of 15xy^7z and 30x^2y^7z

yawa3891 [41]

Answer:

$15x {y}^{7} z$

Step-by-step explanation:

<h3>Factorize the Expressions</h3>

$15x {y}^{2} z = 3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z$

$30 {x}^{2} {y}^{7} z = 2 \times 3 \times 5 \times x \times x \times y \times y \times y \times y \times y \times y \times y \times z$

<h3>Factor out the Common Factors</h3>

$gcf = 3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z$

<h3>Multiply the Common Factors</h3>

$3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z = 15x {y}^{7} z$

The Factored expressions are

$15x {y}^{7} z$

And

$15x {y}^{7} (2x)$

5 0

3 years ago

Which decimal is equivalent to 13 over 9

DaniilM [7]

i believe 1.44444444444

5 0

3 years ago

Read 2 more answers

In the year 1990, a total of 320 points were scored in a basketball game between the golden state warriors and the Denver nugget

liberstina [14]

6 points per minute

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3 years ago

You are given g(x)=4x^2 + 2x and

Strike441 [17]

Answer:

324

Step-by-step explanation:

Given:

$g(x)=4x^2+2x\\ \\f(x)=\int\limits^x_0 {g(t)} \, dt$

Find:

$f(6)$

First, find f(x):

$f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2$

Now,

$f(6)\\ \\=\dfrac{4\cdot 6^3}{3}+6^2\\ \\=288+36\\ \\=324$

4 0

3 years ago

Help more than 10 points

Drupady [299]

Ratio triangle height to square side 7:8
ratio triangle base to square side 1:2
Area of the square is 64 in² then the sides = 8 in

ratios give
h = 7(8)/8
h = 7

b = 8/2
b = 4

Area Triangle = 0.5(7)(4)
= 14

Then shaded region is the Area of the square minus the Area of the triangle.
A = 64 - 14
A = 50 in²

3 0

3 years ago