Q. How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?
Solution:
Here we are given with the sides of the triangle as 5m, 16m and 5.
As the Triangle inequality we know that
The sum of the length of the two sides should be greater than the length of the third side. But this inequality fails here.
Hence no triangle can be made.
So the correct option is None.
Q.How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?
Solution:
Here we are given with the sides of the triangle as 6m, 2m and 7m.
As the Triangle inequality we know that
The sum of the length of the two sides should be greater than the length of the third side. The given values follows the triangle inequality.
Hence one triangle can be formed.
So the correct option is one.
Answer:
the cell phone tower is 488 ft
Step-by-step explanation:
change 12 in = 1ft
4ft x ft
------------------- = ----------------
1ft shadow 122 ft shadow
using cross products
4 * 122 = 1 * x
488 = x
Answer:
A. t - 5 < 26°
Step-by-step explanation:
Record low temperature for that date = 26°
Temperature at 10:00 PM = t
A fall in temperature by 5° = t - 5
Thus, this is said would mean the record low temperature would be breaking at this point, meaning the new temperature low recorded will be less than 26°.
In mathematical expression, this is expressed as;
t - 5 < 26°
Answer:
782.5inch³
Step-by-step explanation:
<u>The question is on volume of a prism and that of a cylinder</u>
<u>Finding the volume of the prism</u>
V=Bh where B is the base area and h is the height
Base area=14"×14"=196 inch²
height =8"
v=196×8= 1568 in³
<u>Finding volume of the cylinder</u>
v=
r²h where r is the radius of cylinder and h is the height of cylinder
r=10/2=5 inches and h=10 inches
v=3.142×5×5×10=785.5inch³
<u>The difference in volume</u>
Difference in volume=1568-785.5=782.5inch³
Answer:
B
Step-by-step explanation: