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3 years ago

If a 45 degree 45 degree 90 degree triangle has a hypotenuse length of 12 find the leg length

Mathematics

1 answer:

AURORKA [14]3 years ago

7 0

Answer:

<h2>Leg length = 8.5</h2><h2 />

Step-by-step explanation:

let x represent the leg length

if we use the Pythagorean theorem we get:

x² + x² = 12²

then

2x² = 12²

Then

x² = 144/2 = 72

then

x = √(72)

=8,485281374239

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Answer:

The amount of pages that remain to be read is <u>150 pages</u>

Step-by-step explanation:

Okay if we know it's in 7:3 ratio we can easily add them both to get 10, then divide 10 by 500 to get 50. SO we now know that 50 is 1 unit and since the ratio says 3 units is the answer, we multiply 50 by 3 to get 150.

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3 years ago

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3 years ago

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3 years ago

Which shows the expression below in simplified form? (7 × 10-3) - (2.3 × 10-6) A. 6.9977 × 10-3 B. 6.99977 × 10-3 C. 6.9977 × 10

rosijanka [135]

Option A

$(7 \times 10^{-3}) - (2.3 \times 10^{-6}) = 6.9977 \times 10^{-3}$

<em><u>Solution:</u></em>

Given expression is:

$(7 \times 10^{-3}) - (2.3 \times 10^{-6})$

To evaluate the expression, let us make the exponent of 10 same

$2.3 \times 10^{-6} = 0.0023 \times 10^{-6+3} = 0.0023 \times 10^{-3}$

[ Here, decimal point is moved three times left, so add 3 ]

Therefore,

$(7 \times 10^{-3}) - (2.3 \times 10^{-6}) = (7 \times 10^{-3}) - (0.0023 \times 10^{-3})$

$\text{Take the } 10^{-3} \text{ as common }$

$(7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 10^{-3}(7-0.0023)\\\\\text{ Solve for terms inside the bracket }\\\\(7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 10^{-3} \times 6.9977\\\\\text{Therefore, the simplified expression is: }\\\\(7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 6.9977 \times 10^{-3}$

Thus Option A is correct

6 0

4 years ago

If the length of the shorter leg of a right triangle is 5 cm and the length of the hypotenuse is 8 cm, find the length of the lo

Brilliant_brown [7]

Answer:

The length of the longer leg is 6.24 cm.

Step-by-step explanation:

Here, the length of the hypotenuse = 8 cm

The length of shorten leg ( Base) = 5 cm

Let us assume the length of longer leg (Perpendicular) = k cm

Now, as the given triangle is a right angled triangle.

So, by the PYTHAGORAS THEOREM:

$( Base)^2 + ( Perpendicular)^2 = ( Hypotenuse)^2\\\implies (5)^2 + (k)^2 = (8)^2\\\implies k^2 = 64 - 25 = 39\\\implies k^2 = 39\\k = \sqrt{(39)} = \pm (6.24)$

Now,as k is the length of the side, so it cannot be negative.

⇒ k = 6.24 cm

Hence, the length of the longer leg is 6.24 cm.

6 0

3 years ago