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blagie [28]
3 years ago
14

Which of the following is equivalent to the expression shown (0.2x-1)+(0.3-0.01x)

Mathematics
1 answer:
Mars2501 [29]3 years ago
5 0

Answer:

0.07x - 0.002x^2 - 0.3

Step-by-step explanation:

Given the expression shown (0.2x-1)+(0.3-0.01x)

Expand

(0.2x-1)+(0.3-0.01x)

= 0.2x(0.3)  - 0.2x(0.01x)-1(0.3) + 1(0.01x)

= 0.06x - 0.002x^2 - 0.3 + 0.01x

= 0.06x+0.01x - 0.002x^2 - 0.3

= 0.07x - 0.002x^2 - 0.3

This gives the required expression

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Thomas decided to take the plane to save some time. Unfortunately, the plane was delayed for 1 5/6 hours. How long did the trip
seraphim [82]

Answer:

<u>Finally, the trip of Thomas will take an hour and fifty minutes more than the normal time it usually takes.</u>

Step-by-step explanation:

1. Let's check all the information provided to answer the question:

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Time of normal flight = x hours

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4 years ago
Law of sines: 2.2 units 2.4 units 3.0 units 3.3 units
Arada [10]

Answer:

RS=2.4\ units  

Step-by-step explanation:

<em>The complete question is </em>

What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.

see the attached figure to better understand the problem

step 1

Find the measure of angle S

Applying the law of sines

\frac{QS}{sin(R)}=\frac{QR}{sin(S)}

substitute the given values

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Solve for sin(S)

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step 2

Find the measure of angle Q

Remember that the sum of the interior angles in any triangle mut b equal to 180 degrees

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substitute the given values

m\angle Q+80^o+49.68^o=180^o  

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m\angle Q=180^o-129.68^o

m\angle Q=50.32^o

step 3

Find the length of segment RS

Applying the law of sines

\frac{QS}{sin(R)}=\frac{RS}{sin(Q)}

substitute the given values

\frac{3.1}{sin(80^o)}=\frac{RS}{sin(50.32^o)}

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