Answer:
The center of the tetrahedron divides each of the four heights (or medians) in the ratio 1:3 (in an equilateral triangle the corresponding ratio is 1:2). The smaller part is also the radius of the inscribed sphere. Therefore the radius of this sphere is one quarter of the height or 9 in your case.
Answer:
5.83 miles
Step-by-step explanation:
Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:
d² = (3 mi)² +(5 mi)² = 34 mi²
d = √34 mi ≈ 5.83 mi
Bill is 5.83 miles on a direct line from his starting point.
_____
The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.
Answer:
a. 161
b. 181
c. 100
Step-by-step explanation:
a. 162 comes just after 161 <em>(160, </em><u><em>161, 162</em></u><em>, 163...)</em>
b. 181 comes just before 182 <em>(180, </em><u><em>181, 182</em></u><em>, 183...)</em>
c. 100 is between 99 and 101 <em>(98, </em><u><em>99, 100, 101</em></u><em>, 102...)</em>
length of pipe= 30m
Inside dia. = 1.2m
Outside dia. = 1.8m
Volume of concrete= (outside dia. - inside dia.)h
V= (pi)
v= [(3.14*0.9*0.9)-(3.14*0.6*0.6)]30
v= (3.3534-1.1304)30
v=(2.233)30 = 66.690m cube
since it's volume the answer 66.690 is in cubic meters.
For this case we have that by definition, the general equation of the circle is given by:
Where,
- <em>(h, k): it is the center of the circle
</em>
- <em>r: radius of the circle
</em>
We then have the following equation:
Comparing values we have:
For the center of the circle
:
For the radius:
Then, the diameter is given by:
Answer:
Johnny is wrong:
The center of the circle is (11, -15)
Joyce is wrong:
The diameter of the circle is 24