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4 years ago

Find the area of the figure below

Mathematics

2 answers:

Jet001 [13]4 years ago

8 0

Answer:

A= 216 cm

Step-by-step explanation:

When solving for the area of a triangle you multiply base by height.

the base is 27 cm and the height 16.

27 x 16 = 216 cm

Damm [24]4 years ago

4 0

Answer:

$216$ $cm^2$

Step-by-step explanation:

The area of a triangle:

$A=\frac{1}{2} *bh$

The base is 27 and the height 16. Insert values:

$A=\frac{1}{2} *27*16$

Simplify:

$A=\frac{1*27*16}{2}\\\\A=\frac{27*16}{2}\\\\A=\frac{432}{2}\\\\A= 216$

The area of the triangle is $216$ $cm^2$ .

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Let $a$ and $b$ be nonzero real numbers such that

algol [13]

<h3>Answer: -7/2</h3>

=========================================================

Explanation:

Let's expand out (2 - 7i)(a + bi) using the FOIL rule

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7bi^2

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7b(-1)

(2 - 7i)(a + bi) = 2a + 2bi - 7ai + 7b

(2 - 7i)(a + bi) = (2a+7b) + (2bi-7ai)

(2 - 7i)(a + bi) = (2a+7b) + (2b-7a)i

We're told the result is purely imaginary. What this means is that the real part (2a+7b) is zero, while the imaginary part (2b-7a) is nonzero. If both are zero, then we have 0+0i = 0 which is purely real.

For example, the complex numbers 0-7i and 0+2i are purely imaginary.

Let's use the fact that 2a+7b must be zero to do the following steps:

2a+7b = 0

2a = -7b

a = -7b/2

a/b = -7/2 which is the final answer

We must check to see if 2b-7a is nonzero

2b - 7a = 2b - 7(-7b/2)

2b - 7a = 2b + 24.5b

2b - 7a = 26.5b

The result is nonzero if and only if b is nonzero. Luckily we're told b is nonzero at the top of the problem. So we don't have any worries that (2b-7a) is zero.

Therefore, (2a+7b) + (2b-7a)i will be purely imaginary with a/b = -7/2

------------------

A concrete example:

Let a = -14 and b = 4

a/b = -14/4 = -7/2

(2-7i)(a+bi) = (2-7i)(-14+4i) = 0 + 106i which is purely imaginary.

I'll let you do the steps in expanding that out using the FOIL rule.

4 0

1 year ago

Decompose the figure into regions that are closest to each

Korolek [52]

The image is decomposed as follows: H1 and H2. Where original graph is Hx.

<h3>Are the images (attached) valid decompositions of the original graph?</h3>

Yes, they are because, H1 and H1 are both sub-graphs of Hx; also
H1 ∪ H2 = Hx
They have no edges in common.

Hence, {H1 , H2} are valid decomposition of G.

<h3>What is a Graph Decomposition?</h3>

A decomposition of a graph Hx is a set of edge-disjoints sub graphs of H, H1, H2, ......Hn, such that UHi = Hx

See the attached for the Image Hx - Pre decomposed and the image after the graph decomposition.

Learn more about decomposition:
brainly.com/question/27883280
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7 0

1 year ago

At the school Fall Festival the students council sold soda at the fundraiser the table below shows the number of sodas they sold

mash [69]

Answer:

$4.80/2sodas

4.80/2=2.40

C. 2.40 per soda

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3 years ago

Which ratio is equivalent to 5/10

grin007 [14]

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3 0

3 years ago

Is 24/8 a rational number

blsea [12.9K]

Answer:

Yes

Step-by-step explanation:

A rational number is a number that could be written in fraction form or ratio.

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3 years ago