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pickupchik [31]
3 years ago
6

Calculate the length of the diagonal of a rectangle whose sides measure : (a) 12 meters and 48 meters (b) 11 centimetres and 60

centimetres
Mathematics
1 answer:
Serggg [28]3 years ago
7 0
When solving this problem, you need to imagine the diagonal line through the rectangle. This makes two triangles which you can use the pythagorean theorem for. 12 squares plus 48 squared equals 2,448. Find the square root of that at it will be your answer (I don’t have the time to figure it out). 11 squared plus 60 squared is 3,712. Square root tbd... add the label and you’re finished!
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Find two positive consecutive odd integers such that square of the smaller integer is 10 more than the larger integer
Otrada [13]

Let 2n+1 be the smaller integer. The larger integer is then 2n+3, and we have

(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13

\implies4n^2+2n-12=0

\implies2n^2+n-6=0

\implies(2n-3)(n+2)=0

\implies 2n-3=0\text{ or }n+2=0

\implies n=\dfrac32\text{ or }n=-2

We omit n=-2, since 2(-2)+1=-3 is negative.

Then for n=\dfrac32 we find 2\left(\dfrac32\right)+1=4, but this is not odd.

There are no consecutive odd integers that satisfy the given condition!

3 0
3 years ago
Answer the questions in the image attached.
MArishka [77]
A) and translate figure A 11 units left and 5 units down
4 0
3 years ago
What is the slope and y intercept?​
natka813 [3]
The y intercept is -2.
4 0
3 years ago
The length of a rectangular garden is 8m greater than twice the width the area of the garden is 280m^2 what is the width of the
yarga [219]

Step-by-step explanation:

Given :-

The length of the garden 8m greater than 2 times the width.

Area of the garden is 280 m²

Let us consider the length as x and width as y.

Sp, we can day length as :-

x = 8 + 2y ---(1)

Now, we know that:-

Area of Rectangle = Length × Breadth

280 = x * y

We can replace the value of x now,

280 = y × ( 8 + 2y)

280 = 8y + 2y²

2y² + 8y - 280 = 0

y² + 4y - 140 = 0

Factorise it.

(y -10)(y + 14)

Cancelling -ve value, we get the width as 10 metres.

<u>Hope</u><u> </u><u>it</u><u> </u><u>helps</u><u> </u><u>:</u><u>)</u>

5 0
3 years ago
Read 2 more answers
Which construction of parallel lines is justified by the theorem "when two lines are intersected by a transversal and the corres
Ugo [173]

Answer:

c

Step-by-step explanation:

I think you missed attaching the photo, please see my attachment.

And the correct answer is C,

When you look at where the arc meets the parallel lines, if you create a seam between two points, you get a straight line parallel to the horizontal lines  so it makes the corresponding angles are congruent.

5 0
3 years ago
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