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3 years ago

Consider the fibonacci sequence below, which is the first term in the sequence to exceed 120?

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

3 0

Answer:

144

Step-by-step explanation:

The sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946

so you can see the first term larger than 120 is the 144.

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3 years ago

The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of

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Ramonita gets $4 a week for mowing the lawn. She wants to buy a $9 toy. How many weeks does she need to mow the lawn?

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3 years ago

In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º. Find the area of ABCD

dmitriy555 [2]

Answer:

The area of parallelogram ABCD is $78.42 \mathrm{in}^{2}$

Explanation:

Given:

AD = 12 in

$m \angle C=46^{\circ}$

$m \angle D B A=72^{\circ}$

To Find:

The area of parallelogram ABCD=?

Solution:

When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.

The area of the parallelogram can be calculated by $a b * \sin (a n g l e)$

Substituting the value of a=12 we have

$\text { Area of parallelogram }=12 * \text { bsin } 46$

<u>To find the value of b, </u>

We know that area of a triangle can be expressed as,

$\text { Area of triangle }=(A b / 2) \sin (\text {angle})$

So,

$(12 * B D / 2) * \sin 46=(A B * B D / 2) * \sin 72$

Cancelling BD and 2 on both sides we get,

$12 * \sin 46=A B * \sin 72$

$A B=12 * \frac{\sin 46}{\sin 72}$

Therefore,

$b=\frac{12 \sin 46}{\sin 72}$

Substituting the value of b,

$=12 *\left(\frac{12 \sin 46}{\sin 72}\right) * \sin 46$

=78.42

So the area of the parallelogram is $78.42 \mathrm{in}^{2}$

6 0

4 years ago

Read 2 more answers

3. Find the GCF of 120x2y5 and 80x3y2

Morgarella [4.7K]

So we have
120x2y5 and 80x3y2
120 doesnt divide into 80 evenly, but we know 40 goes into both.
so the first part is 80x
2y and 3y dont have a common factor other than y so the second part is
y
2 and 5 dont share any common factors so we simply leave that alone
so we have 40xy

3 0

4 years ago