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1 year ago

5. How long is the diagona of a 12 ft-by-16 ft rectangular garden?

Mathematics

2 answers:

kupik [55]1 year ago

7 0

Answer:

The correct answer is option D, 20ft

Step-by-step explanation:

After drawing the picture below, you can just use pythagorean theorem to solve for the diagonal, or the hypotenuse in this case;

(Length)² + (Width)² = (Diagonal)²

(16)² + (12)² = (Diagonal)²

256 + 144 = (Diagonal)²

400 = (Diagonal)²

$\sqrt{400}$ = $\sqrt{Diagonal^{2} }$

20 = Diagonal

Hope this helps!

quester [9]1 year ago

6 0

Answer:

D. 20 ft

Step-by-step explanation:

Use pythagorus! We can imagine the rectangle is split into 2 equal triangles, one side of the triangle being 12, and the width being 16.

Pythagorus theorum is used to calculate the hypotenuse (long side) of a right-angled triangle. This is the formula:

$\sf{a^{2}+b^{2} = c^{2} }$

So, we do 12^2 (squared) + 16^2 =

144 + 256 = 400

Now, we have to find the square root of 400, which is equal to

So our answer is 20ft

Hope this makes sense! If you need further explanation, do let me know...

- profparis

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zvonat [6]

1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :

i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.

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2.

$20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA)

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3. m(A) = Arccos(-0.641)≈130°,

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3 years ago

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Represent the geometric series using the explicit formula. 3, −6, 12, −24, … f(n) = 3 ⋅ (2)(n−1) f(n) = 3 ⋅ (−2)(n−1) f(n) = f(n

mr Goodwill [35]

Answer:

$f(n)=(-2)(n-1)$

Step-by-step explanation:

Each term of this Geometric Series (3, −6, 12, −24, ...) can also be found through this explicit formula: $f(n)=(-2)(n-1)$ Because the $n^{th}$ term is found by the product of its common ratio "q", times its predecessor n-1. Where n, refers to the order of the term.

So let's test it, suppose we want to find the 4th term. We know the common ratio and the first term. Then we can write f(n) as:

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2 years ago

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kati45 [8]

Answer:

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Step-by-step explanation:

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irina1246 [14]

Answer:

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Step-by-step explanation:

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