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1 year ago

A path 1 m wide is build around a garden that is a 30-meter square. What is the area taken by the path?

Mathematics

1 answer:

maria [59]1 year ago

6 0

Length of outer boundary =30m

So area of outer boundary =30×30

= 900m²

Length of inner boundary of path=30-1= 29m

Inner area =29×29 =841m²

So area of path is= outer area - inner area

=900- 841

= 59m²

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Find the compound interest on 800 at 5% per annum for 2 years.

Ludmilka [50]

Answer:

$C = 82$

Step-by-step explanation:

Given

$R = 5\%$ -- Rate

$P = 800$ -- Principal

$N = 2$ -- Time

Required

Determine the compound interest

First, we calculate the Amount (A)

$A = P(1 + R)^N$

$A = 800*(1 + 5\%)^2$

Express % as decimal

$A = 800*(1 + 0.05)^2$

$A = 800*(1.05)^2$

$A = 882$

The compound interest (C) is then calculated as:

$C = A -P$ i.e. Amount - Principal

$C = 882 - 800$

$C = 82$

7 0

2 years ago

The difference of the quotient m and 9 and the quotient of n and 30

Zanzabum

Answer: (30m-9n)/270

First we start with m/9-n/30.

We multiply the denominators to get 270.

Then we multiply the numerators by the original denominators to get (30m-9n).

To check, we can use m=2, and n=4

2/9-4/30=4/45

(30*2-9*4)/270=24/270=4/45

5 0

2 years ago

You wanna answer it you get SOME POINTS . AND YOU GET TO MARRY THE GIRL OF YOU'R DREAMS ! ! ! IK right . So do it .

uysha [10]

Answer:

The answer to your question is 20 feet

Step-by-step explanation:

Data

A = (-2, 1)

B = (4, 1)

C = (-2, -3)

D = (4, -3)

Process

1.- Calculate the distance from C and D

dCD = $\sqrt{(4 + 2)^{2} + (3 - 3)^{2}}$

dCD = $\sqrt{6^{2}}$

dCD = 6

2.- Calculate the distance from A to C

dAC = $\sqrt{(2 - 2)^{2} + (-3 - 1)^{2}}$

dAC = $\sqrt{4^{2}}$

dAC = 4

3.- Calculate the perimeter

Perimeter = 2(dCD) + 2(dAC)

-Substitution

Perimeter = 2(6) + 2(4)

-Simplification

Perimeter = 12 + 8

-Result

Perimeter = 20 ft

3 0

2 years ago

Read 2 more answers

Maria goes to Applebee's with her 2 friends. They each order an entrée, which costs $15 each, and a soda, which costs $3.50 each

Leona [35]

Answer:

Part A: The total is 57.58

Part B: 19.19 each

Step-by-step explanation:

Part A: 15(3) +3.50(3)=55.50

55.50 plus the 3.75% tip (not really addition i dont know how to find a percentage so i looked that part up) but it come out to $57.58

Part B: 57.58 divided by 3 is $19.19 ( I do 3 because Maria and 2 more friends)

Hope it helps and that it is 100% correct dont come at me if something is wrong with my math

6 0

2 years ago

If I have a triangular prism with the length of 9mm, the base of 6.6 mm, and the height 4 mm or 5.2 mm. What would be the surfac

Lelu [443]

The surface area of triangular prism is 117.12 mm²

<u>Explanation:</u>

Base side, a = 9 mm

Base side, b = 6.6 mm

Base side, c = 5.2 mm

Height, h = 4 mm

Total surface area = ?

We know,

Surface area, A = 2 Ab ( a+b+c) h

Ab = √s(s-a) (s-b) (s-c)

s = a+b+c/2

Solving for A

A = ah + b h + ch + 1/2 √ -a⁴ + 2(ab)² + 2(ac)² - b⁴ + 2 (b c)² - c⁴

A = 9.4 + 6.6 X 4 + 5.2 X 4 + 1//2 √ -9⁴ + 2(9 X 6.6)² + 2(9 X 5.2)² - (6.6)⁴ + 2 (6.6 X 5.2)² - (5.2)⁴

A = 117.12 mm²

Therefore, the surface area of triangular prism is 117.12 mm²

4 0

2 years ago