Answer:
perimeter of square = 35.78 cm
Step-by-step explanation:
cut the rhombus into 4 triangles along the diagonals
each triangle has a base of 5 and a height of 10 cm
area of one triangle = 1/2(4)(10) = 20 cm^2
4 triangles = area of rhombus = 80 cm^2
then the square has an area of 80 cm^2 also
side^2 = 80 cm^2
side of square = 8.94 cm
perimeter = 8.98 x 4 = 35.78 cm
Answer:
490
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
First, let's find <em>x</em>.
We know that one of the angles is 30. The side opposite to than angle is 11, and <em>x</em> is the adjacent side to it. Therefore, we can use the trig function tangent.
Recall that:

Plug in 30 for the angle, 11 for the opposite, and <em>x</em> for the adjacent. Solve for <em>x</em> by cross-multiplying:

From the unit circle, recall that tan(30) is equal to one over the square root of 3. Thus:

Now, we can use the Pythagorean Theorem to find <em>y</em>. <em>y</em> is the hypotenuse. Thus:

This question is a very hard and difficult one to answer. The main reason
<span>is because you said "the right rectangular prism shown" and then you didn't </span>
show it. So all I can tell you is this:
-- The volume of each small cube is
(1/4) x (1/4) x (1/4) = 1/64 cubic inch .
-- The volume of the right rectangular prism that's not shown is
<span> (length in inches) x (width in inches) x (height in inches) cubic inches. </span>
The number of small cubes needed to fill the invisible right rectangular prism is ...
(volume of the missing right rectangular prism)
divided by
(volume of each small cube) .
That's
<span> (volume of the alleged right rectangular prism) </span>
divided by
(1/64 cubic inch)
<span>= </span>(64) times (volume of the rumored right rectangular prism)<span> .</span>
X fourths minus seventeen