All categories

3 years ago

Each leg of a 45°-45°-90° triangle measures 12 cm.

Mathematics

1 answer:

vitfil [10]3 years ago

4 0

Answer:

12 sqrt(2)

Step-by-step explanation:

Givens

a = 12 cm

b = 12 cm

c = ??

The triangle is isosceles with 1 right angle and 2 45 degree angles.

Formula

c^2 = a^2 + b^2

c^2 = 12^2 + 12^2

c^2 = 144 + 144

c^2 = 288

c^2 = 144 * 2

c = sqrt(144) * sqrt(2)

c = 12 * sqrt(2)

The answer isn't there. 12*sqrt(2) is the correct answer, 12sqrt(3).

Was this just a typo of some kind.

You might be interested in

Solve the following equations for 0 ≤ theta ≤ 360º cosec(2 — 45°) = 2

lions [1.4K]

Step-by-step explanation:

here ,

$cosec \alpha = \frac{1}{ \sin( \alpha ) }$

now,

cosec(2-45°)=2

or,

1/sin(2-45°) =2

or,

1/sin2cos45°-cos2sin45=2

or,

$\frac{1}{ \sin(2) \frac{1}{2} - \cos(2) \frac{1}{2} } = 2$

or,

sorry I have that much qualifications to work on this question and hoping this much will make bit easy for you to solve it further

4 0

2 years ago

Find the derivative of<br> <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7B6%7D%7Bx%7D%20" id="TexFormula1" titl

aev [14]

$f'(x_0)=\lim\limits_{h\to0}\dfrac{f(x_0+h)-f(h)}{h}=\lim\limits_{x\to x_0}\dfrac{f(x)-f(x_0)}{x-x_0}\\\\f(x)=\dfrac{6}{x};\ x_0=2\\\\subtitute\\\\f'(2)=\lim\limits_{x\to2}\dfrac{\frac{6}{x}-\frac{6}{2}}{x-2}=\lim\limits_{x\to2}\dfrac{\frac{6}{x}-3}{x-2}=\lim\limits_{x\to2}\dfrac{\frac{6-3x}{x}}{x-2}=\lim\limits_{x\to 2}\dfrac{6-3x}{x(x-2)}\\\\=\lim\limits_{x\to2}\dfrac{-3(x-2)}{x(x-2)}=\lim\limits_{x\to2}\dfrac{-3}{x}=-\dfrac{3}{2}=-1.5\\\\\\An swer:\boxed{f'(2)=-1.5}$

8 0

3 years ago

Please help me thanks.

daser333 [38]

y=(-2x)+5

Step-by-step explanation:

4 0

2 years ago

What does a prime mean in coordinates

Ludmilka [50]

A prime meridian is a meridian (a line of longitude) in a geographicalcoordinate system at which longitude is defined to be 0°. Together, a primemeridian and its antimeridian (the 180th meridian in a 360°-system) form a great circle.

4 0

3 years ago

Tom caught 4 fish and his son caught 12 fish. The number of fish that Tom’s caught was what percent of the number of fish his so

Fofino [41]

Answer:

33.3 % (Approx) percent of fish that Tom’s caught of the number of fish his son caught .

25% is the percent of the total amount Tom caught.

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ values}$

Part First

As given

Tom caught 4 fish and his son caught 12 fish.

Here

Part value = 4

Total value = 12

Put in the formula

$Percentage = \frac{4\times 100}{12}$

$Percentage = \frac{400}{12}$

Percentage = 33.3 % (Approx)

Therefore the 33.3 % (Approx) percent of fish that Tom’s caught of the number of fish his son caught .

Second Part

As given

Tom caught 4 fish and his son caught 12 fish.

Total number of fish caught = 4 + 12

= 16

Part value = 4

Total value = 16

Put in the formula

$Percentage = \frac{4\times 100}{16}$

$Percentage = \frac{400}{16}$

Percentage = 25%

Therefore the 25% is the percent of the total amount Tom caught.

8 0

3 years ago