The length of the hypotenuse of 30-60-90 triangle is 5. find the perimeter

Answers

Answer 1

Answer:

Answer:

$7.5+2.5√(3)$

Step-by-step explanation:

The ratio of sides in a 30-60-90 triangle is $1:2:√(3)$ . Since the hypotenuse is the longest side, the shortest leg is 5/2=2.5. The leg that would usually be $√(3)$ is now $2.5√(3)\approx 4.33$ . Adding all of these together, you get $7.5+2.5√(3)\approx 11.83$ . Hope this helps!

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Q1: Payments of $ 670 are being made at the end of each month for 5 years at an interest of 8% compounded monthly. Calculate the Present Value.

Answers

Answer:

$50,281.04

Step-by-step explanation:

5 years is equivalent to (5 × 12) = 60 months

Now, the first payment $670 is compounded for 60 months at the rate of $(8)/(12) = 0.667$ % monthly interest.

So, it will become $670(1 + (0.667)/(100))^(60) = 670(1.0067)^(60)$ .

Similarly the second payment of $670 will become $670(1.0067)^(59)$

Therefore, in this way after 60 months i.e. 5 years the total sum will be

= $670 + 670(1.0067)^(1) + 670(1.0067)^(2) + 670(1.0067)^(3) + ........ + 670(1.0067)^(59) + 670(1.0067)^(60)$

= $670[1 + (1.0067) + (1.0067)^(2) + (1.0067)^(3) + ....... + (1.0067)^(59) + (1.0067)^(60) ]$

= $670[1 * ((1.0067)^(61) - 1 )/(1.0067 - 1) ]$

= $50,281.04 (Answer)

{Since, the sum of the G.P. series $1 + r + r^(2) + r^(3) + .......... + r^(n) = 1 * (r^(n + 1) -1)/(r - 1)$ }

Payment of $ 670 with interest every month 8%

Then the payment is made for 5 years

If this year is the fifth year, the total payment is

($ 670 + 8%) x 60 months (1 Year 12 Months, 12 Months multiplied by 5)

($ 670 + $ 53.6 (monthly interest)) x 60

$ 723.6 x 60 = $ 43,416

So, the current value is $ 43,416

Further Explanation

2 Ways to Calculate Loan Interest

Flat flowers

To make it easier for you to illustrate this flat interest calculation, the following is an example of the case: Mr. A applied for an unsecured loan of 240 million dollars with a repayment period of 12 months and a loan interest of 10% annually. This is an installment that must be paid by Mr. A every month.

Amount of loan: 240 million

Interest per year: 10%

Duration: 12 months

Principal installments:

$ 240 million: 12 months = $ 20 million / month

Flower:

($ 240 million X 10%): 12 months = $ 2 million

Installments every month:

$ 20 million + $ 2 million = $ 22 million

Effective interest

Thus is the illustration: Mr. B applied for a loan of $ 240 million. How many installments must be paid each month:

To calculate the interest the formula is: PL x i x (30/360)

PL: principal loan balance from the previous month

i: annual interest rates

30: number of days in a month

360: number of days in a year

Principal loan: $ 240 million

Interest: 10% per year

Credit period: 24 months

Month 1 installments:

= $ 240 million X 10% X (30 days / 360 days)

= $ 2 million

Principal installments plus interest in month 1 = $ 10 million + $ 2 million = $ 12 million.

Month installments 2:

= $ 230 million X 10% X (30 days / 360 days)

= $ 1,191,666.67

Learn More

Loan Interest brainly.com/question/13918421

The Calculated brainly.com/question/13903315

Details

Grade: Middle School

Subject: Mathematics/Business

Keyword: loan, interest, payment

What is 9 times 54 in rounding

Answers

I would round 9 to 10

Then round 54 to 50

Rounded answer woyld be 500

At the last football game, 4 out of every 9 students wore school colors. Based on this information, if 450 students attend the next football game, how many students will wear school colors?

Answers

450 : 9 = 50
50 * 4 = 200

Meryl spends a total of 68.82 for 2 pairs of sneakers with the same cost. the sales tax is 5.32. Meryl also uses a coupon for 3 dollars off her purchase. how much does each pair of sneakers cost?

Answers

You subtract 3.00 which makes it 65.82, then you subtract 5.32 , which makes it 60.50 , then you divide by 2 , so your final Awnser is 30.25

Which of these rectangular prisms has a base area of 40cm2 and a volume of 160cm3?A. Height = 2cm, base length = 10cm, base width = 4cm
B. Height = 4cm, base length = 4cm, base width = 4cm
C. Height = 4cm, base length = 10cm, base width = 4cm
D. Height = 10cm, base length = 4cm, base width = 4cm

Answers

Answer:

C. Height = 4cm, base length = 10cm, base width = 4cm

Step-by-step explanation:

A rectangular prism has

1) Base area $=\text{Base Length}* \text{Base Width}$

2) Volume $= \text{Base area}* \text{Height}$

Consider all options:

$\text{Base area}=10* 4=40\ cm^2 \n \n\text{Volume}= 40* 2=80\ cm^3\neq 160\ cm^3$

This option is false.

$\text{Base area}=4* 4=16\ cm^2\neq 40\ cm^2 \n \n\text{Volume}= 16* 4=64\ cm^3\neq 160\ cm^3$

This option is false.

$\text{Base area}=10* 4=40\ cm^2 \n \n\text{Volume}= 40* 4=160\ cm^3$

This option is true.

$\text{Base area}=4* 4=16\ cm^2 \neq 40\ cm^2 \n \n\text{Volume}= 16* 10=160\ cm^3$

This option is false.

Answer:

The rectangular prism has " Height = 4 cm, base length = 10 cm, base width 4 cm " ⇒ C

Step-by-step explanation:

The formula of the volume of a rectangular prism is V = l × w × h , where l is its length, w is its width and h is its height

∵ The area of the base of the prism is 40 cm²

∵ The its base is shaped a rectangle

∵ Area of a rectangle = l × w

∴ l × w = 40 cm²

∵ The volume of the prism is 160 cm³

- Substitute l × w and the volume in the formula of the volume

∴ 160 = 40 × h

- Divide both sides by 40

∴ 4 = h

∴ The length of the height of the prism is 4 cm

- Lets find which two numbers give a product of 40 to find l and w

∵ 40 = 10 × 4

∴ l = 10 cm and w = 4 cm

The rectangular prism has " Height = 4 cm, base length = 10 cm, base width 4 cm"

Andrew plays on a basketball team. In two games he scored 2/5 of the total number of points his team scored. His team scored 55 points in the first game and 35 points in the second game. What was the number of points Andrew scored in these two games?