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Stells [14]
3 years ago
9

Please help me solve the problem

Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0

Answer:

x = \sqrt{2}  ; y = 2

Step-by-step explanation:

You have a 45 -45 - 90 triangle.  There are two things to know"

1. The hypothenuse = leg × \sqrt{2}

2. The legs are equal.

The hypothenuse is opposite the right angle that is "y" in this problem.

Hypothenuse = leg × \sqrt{2}

                       = \sqrt{2}   \sqrt{2} = \sqrt{4} = 2

The legs are =

Therefore x = \sqrt{2}

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What is the sum of the first five terms of a geometric series with a1=15 and r=1/3
Solnce55 [7]

Answer:

15, 5, 5/3, 5/9, 5/27

Step-by-step explanation:

Recall, that the general form of a geometric series is

a, ar, ar², ar³, .........

where a is the first term and r is the ratio

It is given that the first time is 15, hence a = 15

also given that ratio is 1/3

hence the first 5 terms are:

15, (15)(1/3), (15)(1/3)^2, (15)(1/3)^3, (15)(1/3)^4

simplifying each term gives

15, 5, 5/3, 5/9, 5/27

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3 years ago
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$120 because the fencing of the patio would use up eight squares and each square in the picture is 3 meters so we would need 24 meters of fencing to cover up the entire patio. Since it cost $5 for one meter, 5*24 is $120.
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eric is making a dress. the design calls for a right triangular piece of material. if the second angle has to be 35% what is the
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U have a right triangle...so one angle is 90%......and the second angle is 35%...keep in mind, the angles of a triangle = 180%
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3 years ago
Find all critical points of the given plane autonomous system. (Enter your answers as a comma-separated list.) x′ = x 12 − x − 1
Andru [333]

Answer:

the critical points are (0,0) , (0, 20), (12, 0) , (4,16)

Step-by-step explanation:

To consider the autonomous system

x' =x (12 -x - \dfrac{1}{2})

y' = y( 20 -y - x)

The critical points of the above system can be derived by replacing x' = o and y' = 0.

i.e.

x' =x (12 -x - \dfrac{y}{2}) = 0

\dfrac{x}{2} (24 -2x - y) = 0

x = 0 or 24 - 2x - y = 0     ----- (1)

Also

y' = y( 20-y-x) = 0

y( 20 -y - x) = 0

y = 0 or 20 - y - x = 0  -----   (2)

By solving (1) and (2);

we get x = 4 and y = 16

Suppose x = 0 from (2)

y = 20

Also;

if y = 0 from (1)

x = 12

Thus, the critical points are (0,0) , (0, 20), (12, 0) , (4,16)

6 0
3 years ago
8x55= hmmm what is this summ
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Answer:

440

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