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BartSMP [9]
3 years ago
14

Identify the area of the figure rounded to the nearest tenth. HELP?!! I don't understand!! Please help and show your work!!

Mathematics
1 answer:
Alex73 [517]3 years ago
8 0

Answer:

67.5\ cm^{2}

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle (figure 1) plus the area of trapezoid (figure 2)

see the attached figure to better understand the problem

The area of the rectangle is

A=15*3=45\ cm^{2}

The area of the trapezoid is

A=\frac{1}{2}[(15-9)+3)](8-3)

A=\frac{1}{2}[6+3)](5)=22.5\ cm^{2}

The area of the figure is

45\ cm^{2}+22.5\ cm^{2}=67.5\ cm^{2}

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A blimp is flying at a speed of 40mph and going in a direction of 80 degrees. After 3 hours of flying it turns and travels 1 hou
kykrilka [37]

Bearing is a topic that can be used to <u>locate</u> the <em>position</em> of an object at a given time. Therefore, the blimp is <em>80 m</em> far away from its <u>starting</u> point. And in the<em> North-East </em>direction.

The <u>speed</u> of an object relates the <em>distance</em> it covers to the <u>time taken</u> to cover the said distance.

i.e speed = \frac{distance}{time taken}

⇒ distance = speed x time taken

In the given question, the <u>initial</u> distance covered can be determined as;

distance = 40 mph x 3 h

              = 120 m

The<u> final </u>distance covered can be determined as;

distance = 40 mph x 1 h

              = 40 m

Let the <u>distance</u> from its <em>starting</em> point to its <em>fina</em>l location be represented by x.

Thus applying the<em> Cosine rule</em>, we have:

c^{2} = a^{2} + b^{2} - 2abCos C

x^{2} = 120^{2} + 40^{2} - 2(120 x 40) Cos 90

   = 14400 + 1600 - 9600

x^{2} = 16000 - 9600

   = 6400

x = \sqrt{6400}

 = 80

x = 80 m

Therefore, the <u>distance</u> of the blimp from its <em>starting</em> point to its <em>final</em> destination is <u>80 m</u>.

For more clarifications on bearings, visit: brainly.com/question/22979472

#SPJ1

6 0
2 years ago
[2.5x 8(20+5) how would I solve this?
Fiesta28 [93]

Solution:

Consider the following expression:

2.5 x 8(20+5)

Solving the expression inside the parentheses first, we obtain:

2.5 x 8(25)

this is equivalent to:

2.5 x 200

this is equivalent to:

500

so that, we can conclude that the correct answer is:

500

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=2x%5E2%2B40%3D0" id="TexFormula1" title="2x^2+40=0" alt="2x^2+40=0" align="absmiddle" class="l
aalyn [17]

Answer:

x^2 = -20

Step-by-step explanation:

7 0
3 years ago
F(x)=4(0.5)^-1<br><br> Find the y value
Mumz [18]

Answer: y = 0.5x - 4

Step-by-step explanation:

5 0
3 years ago
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HELPPP PLEASE IM BEGGING
Brrunno [24]

Answer:

Week 3: 1725 Week 5: 2875 Week 7:4025

Step-by-step explanation:

Kylee's earnings when divided by the amount of weeks equal 575. After that multiply 575 (the equivalent of 1 week's) by whatever week it is. Hope this helped! :)

6 0
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