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3 years ago

The length of a swimming pool is 8m longer than its width and the area is 1o5m2?

2 answers:

5 0

Let the breadth be x
length=x+8
according to the question
area of the pool = l*b
105=x*x+8
if u solve this equation further u will get the answer

elena55 [62]3 years ago

4 0

length = w + 8 and width = w and A = 105

A = W* L

105 =w(w + 8)

105 = w² + 8w

0 = w² + 8w - 105

0 = (w + 15)(w -7)

0 = w + 15 or 0 = w -7

w = -15 or w = 7

width cant be negative, so

w = 7 and L = 7 +8

w = 7 and L = 15

7 * 15 = 105 check

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kap26 [50]

Answer:

Step-by-step explanation:

Hello,

You can list the following ones which are correct for a), b) and c)

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3 years ago

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2 years ago

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3 years ago

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ELEN [110]

9514 1404 393

Answer:

a) BE = 5; DE = 6; EF = 4

b) ∠EFC ≅ ∠DA.F ≅ ∠BDE or <em>b = e = f = i</em>

Step-by-step explanation:

Each short segment is the same length as the marked one it is parallel to.

E is the midpoint of BC, so BE = EC = 5.

ADEF is a parallelogram, so DE = A.F = 6.

D is the midpoint of AB, so AD = DB = 4. ADEF is a parallelogram, so ...

EF = AD = 4

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3 years ago

Given the position of the particle, what the position(s) of the particle when it’s at rest

choli [55]

The position function of a particle is given by:

$X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t$

The velocity function is the derivative of the position:

$\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}$

The particle will be at rest when the velocity is 0, thus we solve the equation:

$2t^2-9t-18=0$

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

$t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Substituting:

$\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}$

We have two possible answers:

$\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}$

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

$undefined$

6 0

1 year ago