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Marina86 [1]
3 years ago
9

The perimeter of ABCD is 26 cm The area of PQRS is 45 cm(squares)Find the length of AB

Mathematics
2 answers:
Oksanka [162]3 years ago
7 0
Area of rectangle= LxW
45cm2 divided by 10cm = 4.5cm
B-C= 4.5cm
Perimeter of rectangle= L+W x2
26/2 =13cm -4.5= 8.5cm
sammy [17]3 years ago
4 0
QR = 10cm and the area of that rectangle is 45cmsq so to work out PQ you do 45/10 = 4.5cm
PQ= 4.5cm

As BC = PQ they both equal 4.5cm

and the perimeter of ABCD is 26cm you so 26- (4.5x2) = 17
and 17/2 = 8.5cm

AB is 8.5cm
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The distance of a golf ball from the hole can be represented by the right side of a parabola with vertex (−1, 8). The ball reach
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Answer:

The required equation is:

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Explanation:

Let us assume that the hole is at y = 0m, with x as the time.

From the question we have (-1s, 8m) as the vertex (here x being the time variable is supposed to be in seconds and y being the distance variable is supposed to be in meters)

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x =\frac{-b}{2a}

therefore we have:

-1 = \frac{-b}{2a}

We then have the following equations:

8 = a\times -1^2 + b\times -1 + c

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From the 3rd equation we have

1 X 2a = b.

Therefore we have:

8 = a\times -1^2 - 1\times 2a\times1 + c

0 = a\times 1^2 + 1 \times2a\times 1 + c

We can simplify both equations and get:

8 = a\times( -1^2 - 2s^2) + c = -a\times 3^2 + c

0 = a\times(1^2 + 2^2) + c = a\times 3^2 + c

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8 = -a\times 3 - a\times 3 = -a\times 6

a = frac{8}{-6} = -\frac{4}{3}

With a, we can find the values of c and b.

c = -a\times3 = -(-\frac{4}{3})*3 = 4

b = 1\times 2a = 1\times 2(-\frac{4}{3})= -\frac{8}{3}

Then the equation is:

y = -\frac{4}{3}t^2 -\frac{8}{3}t + 4

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The volume of the oceans on Earth is approximately 1,386 million km^3. As the Earth's temperature rises, the ice in the polar ic
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1. The number of gallons of water produced is 460 gallons

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<h3>1. How to determine the number of gallons produced</h3>

We'll begin by by converting 1.9 m³ to cm³. This is illustrated below:

1 m³ = 1×10⁶ cm³

Therefore,

1.9 m³ = 1.9×10⁶ cm³

Next, we shall determine the volume of water produced from 1.9 m³ (i.e 1.9×10⁶ cm³) of ice. This is illustrated below:

From the question given,

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Therefore,

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Finally, we shall determine the number of gallons produced. This is illustrated below:

From the question given,

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Therefore,

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From the question given above,

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Answer:

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