Answer:
11.2
Step-by-step explanation:
a right triangle in an octagon is 1/2 a side length so to find the side length you must add .7 + .7. Next to find the perimeter of the octagon you must multiply the number of sides 8 by .14 which equals 11.2
You haven’t supplied enough information to help you. The original question would have helped.
Answer:
An isosceles triangle with angles measuring 20° and 80°
Step-by-step explanation:
Verify each case
case A) Scalene triangle with angles measuring 110° and 35°
Is not a scalene triangle because the third angle is (180-110°-35°=35°), therefore is an isosceles triangle
case B) An obtuse triangle with sides measuring 5,10 and 15
we know that
Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so in this problem
-----> is not true
therefore
with these measurements can not draw any triangle
case C) An isosceles triangle with angles measuring 20° and 80°
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem the third angle is (180-20°-80°=80°),
therefore
is an isosceles triangle and can be drawn as it is described
case D) An acute triangle with sides measuring 7,4 and 2
we know that
Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so in this problem
-----> is not true
therefore
with these measurements can not draw any triangle
The complete question is;
A marine biologist is preparing a deep-sea submersible for a dive. The sub stores breathing air under high pressure in a spherical air tank that measures 78.0 cm wide. The biologist estimates she will need 2600 L of air for the dive. Calculate the pressure to which this volume of air must be compressed in order to fit in to the air tank. Write you answer in atmospheres
Answer:
10.5 atm
Step-by-step explanation:
Formula for Volume of a sphere is;
V = (4/3)πr³
r = 78/2 = 39 cm
V = (4/3)π(39)³
V = (4/3)*π*59319
V = 248475 cm³
Now, from conversions, 1000 cm³ = 1L
So,
V = 248475/1000
V = 248.5 L
This is the volume of the storage tank
If we assume that the 2600 L of air is measured at 1 atmosphere pressure, then we will obtain the following relationship:
From Boyles law,
P1 × V1 = P2 × V2
Thus;
(1 atm) × (2600 L) = (P2) × (248.5 L)
P2 = 2600/248.5
P2 = 10.463 atmospheres
Approximating to 3 significant figures is; P2 = 10.5 atm