All categories

3 years ago

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Mathematics

1 answer:

ankoles [38]3 years ago

5 0

Answer: $8\sqrt{3}$

Step-by-step explanation: x^2 + b^2 = c^2 x^2 + 8^2 = 16^2 x^2 + 64= 256 x^2= 192 x= $\sqrt{192}$ x= 8 $\sqrt{3}$

You might be interested in

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule repres

Nataly [62]

Answer:

The translation statement is given by:

$(x,y)\rightarrow (x+1,y+2)$

After the translation, the coordinates of vertex A is (-2,6).

Step-by-step explanation:

Given :

Vertices of a triangle ABC are:

A(−3, 4), B(4, −2), C(8, 3)

The triangle is translated 2 units up and 1 unit right.

To find the co-ordinates of point A after translation.

Translation rules.

For shift of $c$ units up, the translation is given as:

$(x,y)\rightarrow (x,y+c)$

For shift of $k$ units right, the translation is given as:

$(x,y)\rightarrow (x+k,y)$

So, it says the triangles is translated 2 units up and 1 unit right.

The translation statement is given by:

$(x,y)\rightarrow (x+1,y+2)$

So, co-ordinates of point A after translation is given by :

$(-3,4)\rightarrow (-3+1,4+2)=(-2,6)$

After the translation, the coordinates of vertex A is (-2,6).

4 0

3 years ago

Solve for "y" <br> 8y-4x=2

Marizza181 [45]

      -4x + 8y = 2
-4x + 4x + 8y = 2 + 4x
   8y = 4x + 2
      8    8
   y = ¹/₂x + ¹/₄

7 0

3 years ago

I’m confused on #2 can some one please help

Ipatiy [6.2K]

Answer: The answer is A

3 0

3 years ago

Estimate a 10% tip on a bill of $158.71 by first rounding the bill amount to the nearest ten dollars.

irga5000 [103]

158.71 rounded to the nearest ten dollars would be $160.00

then to estimate 10% since 10% starts with a 1, just remove the zero from both numbers

so 160 becomes 16

the tip would be $16

5 0

4 years ago

determine the length of a chord whose central angle is 75° in the circle with the radius of 12 inches.

Black_prince [1.1K]

Answer:

Step-by-step explanation:

other two sides joining center to the ends of chord=radius of circle=12 in

using cosine formula

$cos A=\frac{b^2+c^2-a^2}{2bc} \\2bc cos~A=b^2+c^2-a^2\\\angle A=75^\circ\\b=c=r=12~in\\2*12*12~cos~75=12^2+12^2-a^2\\a^2=2*12^2-2*12^2 cos ~75\\a^2=2*12^2(1-cos 75)\\a=12\sqrt{2(1-cos~75)} \approx 14.6~inches$

6 0

3 years ago