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slamgirl [31]
3 years ago
9

Find length of the hypotenuse in a right triangle with legs of 8cm and 15 cm

Mathematics
2 answers:
enot [183]3 years ago
8 0

Answer:

17 cm

Step-by-step explanation:

The Pythagorean Theorem: a^2+b^2=c^2 where a and b are the legs and c is the hypotenuse

Plug in the values of the legs

8^2+15^2=c^2\\64+225=c^2\\289=c^2\\c=\sqrt{289} \\c=17

Therefore, the length of the hypotenuse is 17 cm.

I hope this helps!

Brrunno [24]3 years ago
7 0

Answer:

Step-by-step explanation:

h^2=x^2+y^2, in this case

h^2=8^2+15^2

h^2=64+225

h^2=289

h=17cm

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Three students, Matthew, Thompson and Amos shared #15000 in the ratio of 5:2:x respectively. If Matthew's share is 7500, calcula
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Answer:

The value of x is 3.

Step-by-step explanation:

Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.

Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:

\frac{5}{5 + 2 + x} = \frac{5}{7 + x}

Both fractions are equal, so:

\frac{5}{7 + x} = \frac{1}{2}

Applying cross multiplication:

7 + x = 10

x = 10 - 7

x = 3

The value of x is 3.

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3 years ago
In the figure below, which angle pair is a pair of corresponding angles?
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The answer is D. Angle 4 and angle 8 are corresponding...
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SVEN [57.7K]

Answer:

5/6

Step-by-step explanation:

(-6 - 4) / (3 * -4)  [substitute a and b]

-10 / -12  [multiply the values in parenthesis]

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What is the amplitude of sin ?
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You haven't provided a graph or equation so I will tell the simplified meaning of amplitude instead.

Amplitude, is basically a distance from midline/baseline to the maximum or minimum point.

For sine function, can be written as:

\displaystyle \large{ y = A \sin(bx  -  c) + d}

  • A = amplitude
  • b = period = 2π/b
  • c = horizontal shift
  • d = vertical shift

I am not able to provide an attachment for an easy view but I will try my best!

We know that amplitude or A is a distance from baseline/midline to the max-min point.

Let's see the example of equation:

\displaystyle \large{y = 2 \sin x}

Refer to the equation above:

  • Amplitude = 2
  • b = 1 and therefore, period = 2π/1 = 2π
  • c = 0
  • d = 0

Thus, the baseline or midline is y = 0 or x-axis.

You can also plot the graph on desmos, y = 2sinx and you will see that the sine graph has max points at 2 and min points at = -2. They are amplitude.

So to conclude or say this:

If Amplitude = A from y = Asin(x), then the range of function will always be -A ≤ y ≤ A and have max points at A; min points at -A.

6 0
3 years ago
Area= <br> Help me please!! Thanks
Lera25 [3.4K]

The area of square LMNP is 50

<h3>What is a circle?</h3>

A circle is the locus of points equidistant from a fixed point which is known as the center of the circle.

A circle is defined if the center and the radius is known.

Analysis:

Perimeter of a circle = 2πr

Given perimeter = 10π

2πr = 10π

2r = 10

r = 10/2 = 5

r = MO

so the diagonal of the square is actually the diameter of the circle = 5+5 = 10

To find the side, x of the square the diagonal and the sides form a right-angled triangle, by  Pythagoras, 10^{2} = x^{2} + x^{2}

2x^{2} = 100

x^{2} = 100/2 = 50

Also area of square is x^{2} = 50

In conclusion, the area of square LMNP is 50

Learn more about circles: brainly.com/question/24375372

#SPJ1

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