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3 years ago

13

Would you please help me? Thanks.

2 answers:

Butoxors [25]3 years ago

7 0

The best answer is D.

According to the pythagorean theorem, a^2+b^2=c^2 in a right triangle where a and b are the legs and c is the hypotenuse.

The diagram given gives the length of both legs, so plug it into the equation to get c^2= 24^2+45^2

ohaa [14]3 years ago

4 0

It is Pythagorean Theorem by the way

and it states that the area of the square drawn on the hypotenuse equals the areas of both squares drawn on the legs

and we can conclude that the area of A equals:

$24^2+45^2$

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One angle of a triangle measures 24 more than the smallest angle in the triangle. The third angle measures twice the measure of

never [62]

Answer:

smallest angle measure 39 degrees

Step-by-step explanation:

the sum of the three interior angles in a triangle is always 180°

x= smallest

x +x+24 + 2x = 180

4x +24 = 180

4x = 156

x = 39

7 0

3 years ago

Read 2 more answers

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Answer:

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2 years ago

A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic

Rainbow [258]

angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

<u>Step-by-step explanation:</u>

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

$c^2 = a^2 + b^2 - 2ab (cosx)$

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ $c^2 = a^2 + b^2 - 2ab (cosx)$

⇒ $c^2 -a^2 - b^2 = -2ab (cosx)$

⇒ $(cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}$

⇒ $(cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}$

⇒ $(cosx) =0.18310$

⇒ $cos^{-1}(cosx) = cos^{-1}(0.18310)$

⇒ $x = 79.45$

The Law of Sines (or Sine Rule) is very useful for solving triangles:

$\frac{a}{sin A} = \frac{ b}{sin B} = \frac{c}{sin C}$

We can now find another angle using the sine rule:

⇒ $\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}$

⇒ $sin Y = \frac{(7.5 (sin 79.45))}{ 8.6}$

⇒ $Y = 59.02 degrees$

So, the third angle = $180 - 79.45 - 59.02 = 41.53 degrees.$

Therefore, angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

4 0

3 years ago

Help me please i do not know the answers

konstantin123 [22]

can you make the pic little more clear if you can :)

8 0

2 years ago

A $525 speaker now sells for 393.75 find the percent of change

asambeis [7]

Answer: The percent of change is 25%

Step-by-step explanation:

$525 - $393.75 = $131.25

131.25 (amount of change)/525 ( original amount) x 100

= 25%

5 0

3 years ago