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Sidana [21]
3 years ago
11

How do I work this out

Mathematics
1 answer:
gregori [183]3 years ago
4 0
P = a + b + c where a < b < c

P = 42 in
b = 18 in
a = x
c = 4x - 1

The equation:

x + 18 + 4x - 1 = 42    |combine items

5x + 17 = 42      |subtract 17 from both sides

5x = 25    |divide both sides by 5

x = 5 (in)

c = 4 · 5 - 1 = 20 - 1 = 19 (in)

Answer: The length of the longest side is 19 in.
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I still don't get it.
AlexFokin [52]
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3 years ago
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Which of the following is not a tool that can be used in a true Geometric construction? a)Protractor b)Compass c)Straightedge
AleksAgata [21]

Answer:

A) Protractor

Step-by-step explanation:

In Mathematics, geometric constructions refers to the drawing of geometric shapes, lines and angles with the exclusive aid of a pencil, straightedge/ruler and a pair of compass.

The pencil is the major drawing tool during the construction while the pair of compass and straightedge are used to construct arcs/circles and straight lines respectively. Note that, a PROTRACTOR is not needed in a geometric construction because length or angle measurements are prohibited.

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3 years ago
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A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of funds' returns shows an averag
Feliz [49]

A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of 60 funds' returns shows an average rate of 12%. If the population standard deviation is assumed to be 4%, the 95% confidence interval estimate for the annual return on all mutual funds is

A. 0.037773 to 0.202227

B. 3.7773% to 20.2227%

C. 59.98786% to 61.01214%

D. 51.7773% to 68.2227%

E. 10.988% to 13.012%

Answer: E. 10.988% to 13.012%

Step-by-step explanation:

Given;

Mean x= 12%

Standard deviation r = 4%

Number of samples tested n = 60

Confidence interval is 95%

Z' = t(0.025)= 1.96

Confidence interval = x +/- Z'(r/√n)

= 12% +/- 1.96(4%/√60)

= 12% +/- 0.01214%

Confidence interval= (10.988% to 13.012%)

3 0
3 years ago
Write the ratio as a fraction in simplest form. 5 meters : 20 meters
Alexus [3.1K]

Answer:

\frac{1}{4}

Step-by-step explanation:

Given the ratio

5 m : 20 m ← divide both parts by 5

= 1 : 4

= \frac{1}{4} ← as a fraction in simplest form

3 0
3 years ago
N + 5 ≥ 25
Triss [41]
The answer is A. Subtract the five on both sides and you end up with A :)
4 0
3 years ago
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