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1 year ago

Find the value of each variable x = y=

Mathematics

1 answer:

Karolina [17]1 year ago

7 0

Answer:

x=9

y= $9\sqrt{2}$

Step-by-step explanation:

This is a special type of triangle known as a 45-45-90 triangle.

The ratio for the sides of this triangle are x:x:x $\sqrt{2}$

Meaning that the two sides other than the hypotenuse are equal, so in this triangle x=9 because it is not a hypotenuse.

The hypotenuse, however, is the value of one side multiplied by $\sqrt{2}$ .

In this case it is 9, so 9* $\sqrt{2}$ = $9\sqrt{2}$

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What is the value of a1 of the geometric series? Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 12 (negative o

worty [1.4K]

Answer:

Step-by-step explanation:

The given geometric series is

$\sum_{n = 1}^{ \infty} 12( { - \frac{1}{9} })^{n - 1}$

We want to determine the first term of this geometric series.

Recall that the explicit formula is

$a_{n} = 12( { - \frac{1}{9} })^{n - 1}$

To find the first term, we put n=1 to get:

$a_{1} = 12( { - \frac{1}{9} })^{1 - 1}$

This gives us:

$a_{1} = 12( { - \frac{1}{9} })^{0}$

$a_{1} = 12(1) = 12$

Therefore the first term is 12

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2 years ago

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zaharov [31]

Answer:

888

Step-by-step explanation:

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2 years ago

There is a clown's face on the top of a spinner. The tip of his hat rotates to (−2, 5) during one spin. What is the cosine value

uranmaximum [27]

Remark
The point value is (-2,5) So we know the two sides. We need the hypotenuse. We should notice that the x value is minus (-2) and value is y value is plus (5). That means we are in quad 2. Be careful how you read that. (-2,5) is a point. It is not a tangent.

Step One
Find the hypotenuse.

a = - 2
b = 5
c = ??

c^2 = a^2 + b^2
c^2 = (-2)^2 + 5^2
c^2 = 4 + 25
c^2 = 29 Take the square root of both sides.
sqrt(c^2) = sqrt(29)
c = sqrt(29)

Step Two
Find the Cosine of the angle.
Cosine(theta) = adjacent / hypotenuse
Cosine(theta) = -2 / sqrt(29) <<<<<<< Answer

Again, watch out for what you are given.

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2 years ago

Hi! how many times does 9 go into 67???? plz help me

Nina [5.8K]

Answer:

it goes into 67 7 times

Step-by-step explanation:

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2 years ago

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2 - The length of a field, 1.2 km long is represented on a map bye

Lostsunrise [7]

Answer:

Step-by-step explanation:

This problem bothers on the conversion of units

to get the scale we need to know how many millimetres are there in one km.

Hence the scale is 1,000,000 mm:1 km

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2 years ago