All categories

3 years ago

HURRYYY

Mathematics

1 answer:

puteri [66]3 years ago

4 0

Answer:

width=20m,length=23m

Step-by-step explanation:

as shown in the figure which is attached

let width of pool =x

⇒ length of pool=x+3

width of walk =2

⇒width of outer boundary of walk=x+4 (2 on each side of pool)

length of outer boundary of walk=x+3+4=x+7

area of pool =x×(x+3)

area of walk+pool=(x+4)×(x+7)

given

total area of the pool and walk is 188 square meters more than the area of the pool

⇒(x+4)×(x+7)=188+x×(x+3)

⇒8x=160

x=20m

dimensions of pool

widh=20m

length=20+3=23m

You might be interested in

Solve cos(2x)=1-sin(x)

Vedmedyk [2.9K]

Given:

$cos(2x)=1-sin(x)$

Expanding using double angle formula,

$1 - 2 \sin^{2} (x) = 1 - \sin(x)$

Rearranging into a single equation,

$1 - 2 \sin^{2}(x) - 1 + \sin(x) = 0$

Combining like terms,

$- 2 \sin^{2} (x) + \sin(x) = 0$

Now multiplying each term by -1,

$2 \sin^{2} (x) - \sin(x) = 0$

Factor greatest common factors out,

$\sin(x)(2 \sin(x) - 1) = 0$

Applying Zero property rule,

$\sin(x) = 0 \: or \: 2 \sin(x) - 1 = 0$

• Solve the trignometric equation to find a particular solution,

$x = 0 \: or \: x = π$

$= > x = 2nπ \: or \: x = π + 2nπ$

• Find the union of the solution sets,

$x = nπ$ }

• Rearrange unknown terms to the left side,

$2 \sin(x) = 1$

• Divide both sides of the equation by the coefficient of variable,

$\sin(x) = \frac{1}{2}$

• Solve the trignometric equation to find a particular solution,

$x = \frac{π}{6} \: or \: x = \frac{5π}{6}$

$= > x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

}

☆ Now finding the union of both sets

$x = nπ \: or \: x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

Hence, the answer is $x = nπ \: or \: x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

3 0

3 years ago

An even number, n, times the next consecutive number, n + 2, is equal to 168. Find the original number.

ira [324]

Answer:12*14

Step-by-step explanation just get your calculator 12+2 is 14 12*14= 168. and no the equation below did not help at all

6 0

3 years ago

Calculate a61 for the sequence {an} ={-5,-7/2,-2,-1/2,1,...}

garri49 [273]

Answer:

C.-85

Step-by-step explanation:

5 0

3 years ago

A school aduitorium has 200 seats and 156 of the seats are occupied?

ioda

If you are wonder how many seat there are left there would be 44 seats unoccupied. 200-156=44

6 0

3 years ago

Read 2 more answers

10^3*10^4/10^5 write the expression as a single power of ten

Triss [41]

10 and try using photomath it helps.

3 0

3 years ago