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trasher [3.6K]
3 years ago
11

Write a recursive sequence for the following: 13, 10, 7, 4

Mathematics
2 answers:
alexira [117]3 years ago
3 0

Answer:

6.5,5,3.5,2

Step-by-step explanation:

they want us to write it in repetition. thus, we can simplify

aleksandr82 [10.1K]3 years ago
3 0
The correct answer is -3
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1. What is the value of x in the triangle?
brilliants [131]
Problem 1

cos(angle) = adjacent/hypotenuse
cos(18) = x/25
25*cos(18) = x
x = 25*cos(18)
x = 23.7764129073789
x = 23.78

Answer: x = 23.78

=====================================================

Problem 2

theta = greek letter that looks like a "zero" or the letter O with a horizontal line through it

With the reference angle of theta, the opposite side is 3. This side is the leg furthest from the angle theta. In contrast, the side 4 is the closest leg to theta. The longest side 5 is the hypotenuse. The hypotenuse is always the lonest side

sin(theta) = opposite/hypotenuse
sin(theta) = 3/5

cos(theta) = adjacent/hypotenuse
cos(theta) = 4/5

tan(theta) = opposite/adjacent
tan(theta) = 3/4

---------------------------

In summary:
sin(theta) = 3/5
cos(theta) = 4/5
tan(theta) = 3/4

=====================================================

Problem 3

cos(angle) = adjacent/hypotenuse
cos(x) = 15/29
x = arccos(15/29) .... inverse cosine or cos^(-1) also works
x = 58.852610078491
x = 58.85

Answer: x = 58.85

=====================================================

Problem 4

The rule we'll use is
sin(x) = cos(90-x)

sin(theta) = cos(90-theta)
cos(90-theta) = cos(58)
90 - theta = 58
90 - theta+theta = 58+theta
90 = 58+theta
90-58 = 58+theta-58
32 = theta
theta = 32

Answer: 32

=====================================================

Problem 5

x = height of pole

the vertical side is the side we want, which is the opposite side compared to the angle 55 degrees

sin(angle) = opposite/hypotenuse
sin(55) = x/25
25*sin(55) = x
x = 25*sin(55)
x = 20.4788011072248
x = 20.5

Each pole is roughly 20.5 feet tall.

=====================================================

Problem 6

The exact value is the fraction sqrt(3)/2 which can be written as \frac{\sqrt{3}}{2}

"sqrt" is shorhand for "square root"
6 0
3 years ago
Read 2 more answers
Which number goes first, second and in third place in a number line? The numbers are 0.666666, 0.33, 0.6
hodyreva [135]
0.33 -0.6 -0.666666 that's how they would go
6 0
3 years ago
Read 2 more answers
Which best explains whether or not all isosceles triangles are similar?
Natali5045456 [20]

Answer:

C: All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.

Step-by-step explanation:

An Isosceles triangle is one that 2 of it's sides are equal and thus two of its angles are congruent which means they are equal.

Now, another Isosceles triangle may not necessarily be similar to another one because the congruent angles in one Isosceles triangle may not be the same with that of another Isosceles triangle.

Thus, correct answer is option C

5 0
2 years ago
Region A has a total of 81,218,576 acres. Estimate the number of acres owned by the government in Region A. Choose the correct e
babunello [35]

Answer:

See Explanation

Step-by-step explanation:

Given

Region\ A = 81218576

Required

The acres owned by the government

The question is incomplete as the proportion (p) owned by the government is not given.

However, the formula to use is as follows:

Govt = p * Region\ A

Assume the proportion is 28%, the equation becomes

Govt = 28\% * 81218576

Govt = 22741201.28

<em>The acres owned by the government will be 22741201.28</em>

7 0
3 years ago
Find the slope of the line that passes through the pair of points.<br> (1,-4), (-5, -3)
Westkost [7]

Answer:

A

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

Therefore:

(-3-(-4))/(-5-1)

-1/6 (A)

5 0
2 years ago
Read 2 more answers
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