All categories

3 years ago

PLEASE HELP

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

4 0

Answer:

m < ANM = 36 degrees.

AM = 9.40 cm to the nearest hundredth.

Perimeter = 94.05 cm to the nearest hundredth.

Step-by-step explanation:

As we have a regular pentagon:

m < ANB = 360 / 5

= 72 degrees

So m < ANM = 1/2 * 72

= 36 degrees.

In the triangle ANM, AN = 16 so

sin 36 = Am / 16

AM = 16 sin36

= 9.4045 cm.

AB = 2 * AM = 18.809 cm

So as all sides are equal:

Perimeter = 5 * 18.809

= 94.05 cm.

You might be interested in

Jerry has a CD case that contains 4

kvv77 [185]

Answer: $\frac{1}{15}$

Step-by-step explanation:

Given

There are

4 country music CD

1 rock and roll CD

2 rap CD

3 Tejano CD

$\text{Probability that Jerry randomly select a Tejano CD and then a rap CD from his case}=\text{Probability of selecting a Tejano CD}\times \text{Probability of selecting a rap CD}$

$P=\frac{3}{10}\times \frac{2}{9}$

$P=\frac{2}{30}$

$P=\frac{1}{15}$

4 0

3 years ago

Sanjeev had 350 marbles and he gave 1/5 of them to his friend, Rayson. How many

kicyunya [14]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the maximum number of children to whom 30 sweaters and 45 trousers can be equally divided. Also find out how many sweaters

Vinvika [58]

Answer:

15 children can divide them with eachother, each get 2 sweaters and 3 trousers

Step-by-step explanation:

15×2=30

15×3=45

7 0

3 years ago

Electrical Resistance The electrical resistance R of a wire varies inversely with the square of its diameter d. If a 25-foot wir

kati45 [8]

Answer:

The answer is below

Step-by-step explanation:

The electrical resistance R of a wire varies inversely with the square of its diameter d:

R ∝ 1 / d

Let k represent the constant of proportionality, hence we can represent the statement as an equation:

$R=\frac{k}{d^2}\\ \\when\ R=0.5 \Omega,d=2\ mm\\\\0.5=\frac{k}{2^2} \\\\k=2\\\\The\ equation\ becomes :\\\\R=\frac{2}{d^2}\\ \\When\ d=3, we\ find\ R\\\\R=\frac{2}{3^2} \\\\R=0.22\ \Omega$

8 0

3 years ago

4 students is what percentage of 20 students?2 doctors is _____% of 25 doctors.

Ray Of Light [21]

In both cases, we can use a rule of three.

<h2>First part</h2> $\begin{gathered} 20\text{ students}\rightarrow100\text{\%} \\ 4\text{ students}\rightarrow x \\ x=\frac{4\text{ students}\cdot100\text{\%}}{20\text{ students}} \\ x=\frac{4\cdot100\text{\%}}{20} \\ x=\frac{400\text{\%}}{20} \\ x=20\text{\%} \end{gathered}$

Therefore, 4 students correspond to 20% of 20 students in total.

<h2>Second part</h2> $\begin{gathered} 25\text{ doctors}\rightarrow100\text{\%} \\ 2\text{ doctors}\rightarrow x \\ x=\frac{2\text{ doctors}\cdot100\text{\%}}{25\text{ doctors}} \\ x=\frac{2\cdot100\text{\%}}{25} \\ x=\frac{200\text{\%}}{25} \\ x=8\text{\%} \end{gathered}$

Therefore, 2 doctors correspond to 8% of 25 doctors in total.

4 0

1 year ago