Answer:
Scale factor = 3
Step-by-step explanation:
Using similar triangles
AT/AG = AB/AC
9/3 = x+10/3x-10
Cross multiply
3(x+10) = 9(3x-10)
Expand
3x+30 = 27x-90
3x-27x = -90 - 30
-24x = -120
x = 120/24
x = 5
For the larger triangle;
AC = 3x-10
AC = 3(5)-10
AC =15-10
AC = 5
AB = x+10
AB = 5+10
AB = 15
For the scale factor;
Since AT/AG = AB/AC
9/15 = 3/5
3*3/5*3 =3/5
Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3
Answer:
The correct answer is 8cm.
Step-by-step explanation:
Vol. Of cone= 1/3pi r²h
= 1/3×3.14× 8²×15
= 8×8×5×3.14
64× 5×3.14
= 320×314/100
=16×314=5024 cm³
Hope this helps:) Goodluck!
Answer:
12.3 feet.
Step-by-step explanation:
As we are given that
is an right angled triangle.

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.
By using Trigonometric functions in a right angled
, we know that:

Here,
is
, Perpendicular is side <em>OP</em> and Base is side <em>PN</em>.
So, 

Putting the values of <em>PN </em>and
.

Hence, the value of <em>OP </em>is
.
Answer:
Chicken
Step-by-step explanation: 7829219882 / 278892828891271289289
depends on the situation like this one at times :)