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Gnesinka [82]
3 years ago
12

In the following triangle,what is the length of the hypotenuse?

Mathematics
2 answers:
kati45 [8]3 years ago
4 0

Step-by-step explanation:

using trigonometric ratios,

sin theta= opposite ÷ hypoteneus (h)

sin 45°= 3 root 2 ÷ h

1/root 2= 3 root 2 ÷h

h= 3× root 2 × root 2

= 3×2

= 6 unit

lesantik [10]3 years ago
4 0

Answer:

Step-by-step explanation:

The given triangle is a right angle triangle and also an isosceles triangle.

The hypotenuse is the longest side of the right angle triangle. To determine the hypotenuse, we will apply trigonometric ratio

Sin θ = opposite side/hypotenuse

Looking at the triangle.

θ = 45 degrees = 1/√2

opposite side = 3√2

Therefore,

Sin 45 = 3√2/hypotenuse

1/√2 = 3√2/hypotenuse

hypotenuse × 1 = √2 × 3√2

hypotenuse = 3√2 × √2

hypotenuse = 3 × 2 = 6

Alternatively,

We can apply Pythagoras theorem since both sides are equal

Since the length of one side is 3√2, then the length of the other side is also 3√2

Hypotenuse^2 = opposite side^2 + adjacent side^2

Hypotenuse^2 = (3√2)^2 + (3√2)^2

Hypotenuse^2 = 18 + 18 = 36

Hypotenuse = √36 = 6

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the radius and height of a solid right circular cone are in the ratio 5 : 12. If its volume is 314 cm cube. find total surface a
navik [9.2K]

Answer:

Step-by-step explanation:

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4 0
3 years ago
I need this done thanks
aleksandr82 [10.1K]

Answer: Choice B

(-1,0), (-1,-2), (-3, -1), and (-3, -2)

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

Explanation:

Let's focus on the point (2,0)

If we shift it 3 units to the left, then we subtract 3 from the x coordinate to get 2-3 = -1 as its new x coordinate. The y coordinate stays the same.

That means we move from (2,0) to (-1,0)

Based on this alone, choice B must be the answer as it's the only answer choice that mentions (-1,0).

If you shifted the other given points, you should find that they land on other coordinates mentioned in choice B.

8 0
2 years ago
Please help me I need this answer and I can not figure it out im not smart so could you please help
Rom4ik [11]

So really all you have to do is simply the expressions on top to match them.

Starting with (4t-8/5)-(3-4/3t), distribute the negative sign to the right portion in parentheses, then distribute it all out and you will get 16/3t- 23/5

Basically, use distribution to simplify, here's all the matches:

(4t-8/5)-(3-4/3t) --> 16/3t- 23/5

5(2t+1)+(-7t+28) --> 3t+33

(-9/2t+3)+(7/4t+33) --> -11/4t+36

3(3t-4)-(2t+10) --> 7t-22

6 0
3 years ago
Read 2 more answers
I need help (asap)! #5-8
7nadin3 [17]
5) 1.1802 x 10^6
6) 0.00016
7) 4.3 x 10^-3
8) 2,835,000
3 0
3 years ago
There are 3 pieces of glass that are cracked. if a rock is thrown by a lawn mower hits the window, what is the probability, that
kirza4 [7]

The chance or chance that the lawn mower will hit a chunk of glass that is already cracked is calculated with the aid of dividing the variety of glasses that are cracked by way of the full quantity of glasses. on this item, the unknown may be calculated through . The solution is, therefore,  0.20.

Opportunity is a measure of the chance of an event to arise. Many occasions cannot be predicted with overall reality. We are able to are expecting only the danger of an event to arise i.e. how likely they're to manifest, using it.

The possibility is the branch of arithmetic regarding numerical descriptions of how in all likelihood an occasion is to arise, or how possibly it's miles that a proposition is actual. The possibility of an occasion various between 0 and 1, where, roughly talking, 0 indicates the impossibility of the event and 1 shows reality.

The probability of an event can be calculated by possibility components via surely dividing the favorable range of effects through the full range of possible outcomes.

Learn more about the probability here brainly.com/question/24756209

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4 0
2 years ago
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