What is the length of a rectangle that area is 1,176 square meters?

Mathematics

1 answer:

Eduardwww [97]3 years ago

8 0

Length would be 42 meters and width would be 28 meters.

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Please help! A-level maths.

astra-53 [7]

$x+y=k\implies y=k-x$

Substitute this into the parabolic equation,

$k-x=6-(x-3)^2\implies x^2-7x+(k+3)=0$

We're told the line $x+y=k$ intersects $C$ twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

$(-7)^2-4(k+3)=49-4(k+3)>0\implies k$

We can tell from the quadratic equation that $C$ has its vertex at the point (3, 6). Also, note that

$-1\le\sin t\le1\implies3\le3+2\sin t\le5\implies3\le x\le5$

and

$-1\le\cos2t\le1\implies2\le4+2\cos2t\le6\implies2\le y\le6$

so the furthest to the right that $C$ extends is the point (5, 2). The line $x+y=k$ passes through this point for $2+5=k\implies k=7$ . For any value of $k$ , the line $x+y=k$ passes through $C$ either only once, or not at all.

So $7\le k$ ; in set notation,

$\{k\mid 7\le k$

4 0

3 years ago

Circular flower bed is 17 m in diameter and has a circular 2 around it is that to meters wide find the area of the sidewalk in s

nata0808 [166]

Answer:

Step-by-step explanation:

The area of a circle split you diameter which is 8.5 then you square it equals 72.25 then you times it 3.14 =226.865 I think

8 0

3 years ago

Ok I'm doing home work and need to show why 1/2 of 60 is not the same as 1/2 of 24 please help! It will give you 24 points.

Tems11 [23]

Simple,

1/2 of 60

re-write it as 0.5 of 60 aka 0.5*60

which is 0.5*60=30

Do the same with 1/2 of 24.

0.5 of 24

0.5*24=12.

Thus, it's not the same because they are different numbers and different number give you different answers.

7 0

3 years ago

1/2−3(1/2+1)^2<br><br><br> Enter your answer, as a simplified fraction

o-na [289]

Answer:

$- \frac{25}{4}$