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3 years ago

16) A rectangular swimming pool measures 5 1/2 meters by 3 1/2 meters What is the perimeter?

Mathematics

1 answer:

KIM [24]3 years ago

5 0

Answer:

18 m

Step-by-step explanation:

Perimeter is the sum of all the sides.

A rectangular pool has two sides at 5 1/2 m and two sides at 3 1/2 meters.

Add the whole numbers, then add the halves. Now ad the two parts together.

5 1/2 + 3 1/2 + 5 1/2 + 3 1/2 = 16 + 2 = 18 m

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An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages

Fynjy0 [20]

Answer:

5 yr and 39 yr

Step-by-step explanation:

Let x = the age of the younger

then 7x + 4 = the age of the older

Now x + 7x + 4 = 44

8x + 4 = 44

8x = 40

x = 5

7x + 4 = 7(5) + 4 = 35 + 4 = 39

Check: 5 + 39 = 44

8 0

3 years ago

Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering p

tankabanditka [31]

Answer:

1.778 times more or 16/9 times more

Step-by-step explanation:

Given:

- Mirror 1: D_1 = 8''

- Mirror 2: D_2 = 6"

Find:

Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering power?

Solution:

- The light gathering power of a mirror (LGP) is proportional to the Area of the objects:

LGP ∝ A

- Whereas, Area is proportional to the squared of the diameter i.e an area of a circle:

A ∝ D^2

- Hence, LGP ∝ D^2

- Now compare the two diameters given:

LGP_1 ∝ (D_1)^2

LGP ∝ (D_2)^2

- Take a ratio of both:

LGP_1/LGP_2 ∝ (D_1)^2 / (D_2)^2

- Plug in the values:

LGP_1/LGP_2 ∝ (8)^2 / (6)^2

- Compute: LGP_1/LGP_2 ∝ 16/9 ≅ 1.778 times more

6 0

3 years ago

in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is

puteri [66]

Answer:

Step-by-step explanation:

a=12 (height)

c=13 (hypotenous)

b=? (base)

By using Pythagoras theorm

We have, hypotenous sq=base sq+height sq

Let b =base SO, base sq=hypotenous Sq-height Sq

=>base Sq =13sq-12sq

Base Sq =169-144

Base Sq =25

Base =5 (shifting the sq)....

Hope it's helpful

5 0

3 years ago

The midpoint of EF is M(1. – 1). One endpoint is E (– 3,2). Find the coordinates of endpoint F

Lyrx [107]

Step-by-step explanation:

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5 0

3 years ago

Find the exact value of tan(x-y) if sin x=8/17 cosy = 3/5

jolli1 [7]

To solve the the question we proceed as follows:

From trigonometric laws

$(cos x)^2+(sin x)^2=1$

$sin (x-y)=sin$ $x$ $sin$ $y-sin$ $y$ $cos$ $x$

$cos (x-y)=cos$ $x$ $cos$ $y+sin$ $x$ $xin$ $y$

si $x=\frac{8}{17}$

$cos$ $x=sqrt(1-(sin x)^2)=sqrt(1-64/289)=sqrt(\frac{225}{289} )=\frac{15}{17}$

$cos$ $y=\frac{3}{5}$

$sin$ $x= sqrt(1- (cos x)^2)= sqrt(1-\frac{9}{25} )=sqrt(\frac{16}{25} )=\frac{4}{5}$

thus

$tan (x-y)=[sin (x-y)]/[cos (x-y)]$

=[sin x cos y-sin y cos x]/[cos x cos y+sin x sin y]

plugging in the values we obtain:

$[8/17 *3/5-4/5*15/7]/[15/17*3/5+8/17*4/5]$

simplifying

$[24/85-60/85]/[45/85+32/85]$

$=-\frac{36}{77}$

6 0

2 years ago