Hello,
1) draw [AB]
2) draw mes (BAB')=78° (|AB|=|AB'| (distance))
draw the circle center B' passant by A.
3)C=middle [BB']
4) draw the half circle with [BB'] as diameter.
5) Intesection of cercle =>D
explain: any right triangle is inscribed in a semicircle
Rem: 78+90=168 and 360-168=192
Given:
Base of the pyramid = 16 inches
Height of the base (h) = 20 inches
Height of the pyramid (H) = 15 inches
To find:
The volume of the triangular pyramid.
Solution:
Area of the base (B) =
Area of the base (B) = 160 in²
<u>Volume of triangular pyramid:</u>
where B is base area and h is the height of the pyramid.
in³
The volume of the triangular pyramid is 800 cubic inches.
Given: =
Awnser: tan theta 15/8.
Step-by-step explanation:
AC = 17
AB = 15
BC = ?
By Pythagoras theorem:
AC² = AB² + BC²
17² = 15² + BC²
289 = 225 + BC²
BC² = 289 – 225
BC² = 64
BC = √64
BC = 8
The value of tanθ = 15/8
First of all, you need to recognize that ∠GHE and ∠AHD are "vertical" angles, so they are equal.
Then, you need to recognize that ∠AHD and ∠AHK are complementary angles.
Then you have
.. ∠AHD +∠AHK = 90
.. ∠GHE +∠AHK = 90
.. (60 -x) +(2x -6) = 90
Now, you have a linear equation in x that is easily solved.
.. x +54 = 90 . . . . . collect terms
.. x = 36 . . . . . . . . . subtract 54 . . . . . . . . . matches selection B*
___
* except that the answer is actually 36, not 36°. The variable x is used in an expression to which the units "degrees" are attached. x is a pure number; x° is 36°.
Answer:
Step-by-step explanation:
1. That is actually correct
2. 8+4=12>3