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marta [7]
3 years ago
6

(05.03)Calculate the area of the regular pentagon below:

Mathematics
1 answer:
Lena [83]3 years ago
3 0

Answer: The correct answer is 238.95 square inches

Step-by-step explanation:Regular Pentagon : A quadrilateral having five sides each of equal length is called regular pentagon.

Side length of pentagon, a = 11.8 inches

Hence, The correct answer is 238.95 square inches as it is approximately equal to 239 square inches.

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Mark got 20% raise for his salary. If this salary was $1800 what is the new salary
elena-14-01-66 [18.8K]
Salutations!

Mark got 20% raise for his salary. If this salary was $1800 what is the new salary?

So lets solve this!

Mark got 20% "raise" for his salary. It clearly indicates that it is percentage of increase, so therefore, after solving out all the sum, we would be adding up 1800 to get the total of the new salary.

Lets form this into statements ----

Percentage increase = 20%

Mark's old salary = $1800

Mark's new salary = 20 × 1800/100

Cancel out the zeros to make it more logical ----

20 × 18/1

= 360.

Now, we need to add 1800 and 360 to get Mark's new salary

1800 + 360 = $2160.

Mark's new salary is $2160.

Hope I helped :D


7 0
3 years ago
Given f(x) = -5x + 4 and g() = x4, choose<br> the expression for (fºg)(x).
babunello [35]

Answer:

-16

Step-by-step explanation:

fog(x)=f(gx)

= -5×4+4

= -20+4

= -16

8 0
3 years ago
Unit 1 geometry basics quiz 1-3 angle measures and relationships
ASHA 777 [7]

Answer/Step-by-step explanation:

1. Side CD and side DG meet at endpoint D to form <4. Therefore, the sides of <4 are:

Side CD and side DG.

2. Vertex of <2 is the endpoint at which two sides meet to form <2.

Vertex of <2 is D.

3. Another name for <3 is <EDG

4. <5 is less than 90°. Therefore, <5 can be classified as an acute angle.

5. <CDE is less than 180° but greater than 90°. Therefore, <CDE is classified as an obtuse angle.

6. m<5 = 42°

m<1 = 117°

m<CDF = ?

m<5 + m<1 = m<CDF (angle addition postulate)

42° + 117° = m<CDF (Substitution)

159° = m<CDF

m<CDF = 159°

7. m<3 = 73°

m<FDE = ?

m<FDG = right angle = 90°

m<3 + m<FDE = m<FDG (Angle addition postulate)

73° + m<FDE = 90° (Substitution)

73° + m<FDE - 73° = 90° - 73°

m<FDE = 17°

3 0
3 years ago
Please someone help me in this
Elis [28]

Answer:

20 watches were made.

Step-by-step explanation:

385=15n+85

300=15n

20=n

7 0
3 years ago
Read 2 more answers
For every 15 minutes of a show, there are two minutes to commercial. At this rate, if leila has seen 45 minutes of a show, how m
Ainat [17]

Answer:

51 minutes.

Step-by-step explanation:

We have been given that for every 15 minutes of a show, there are two minutes to commercial. At this rate, Leila has seen 45 minutes of a show. We are asked to find the time for which Leila has been watching TV.

We will use proportions to solve our given problem.

\frac{\text{Minutes of TV show + Advertisement}}{\text{Minutes of TV show}}=\frac{15+2}{15}

\frac{\text{Minutes of TV show + Advertisement}}{\text{Minutes of TV show}}=\frac{17}{15}  

Upon substituting our given values, we will get:

\frac{\text{Minutes of TV show + Advertisement}}{45}=\frac{17}{15}

\frac{\text{Minutes of TV show + Advertisement}}{45}\times 45=\frac{17}{15}\times 45

\text{Minutes of TV show + Advertisement}=\frac{17}{1}\times 3

\text{Minutes of TV show + Advertisement}=51

Therefore, Leila has been watching TV together for 51 minutes.

8 0
3 years ago
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