Answer:
Hemisphere Formulas in terms of radius r:
Volume of a hemisphere: V = (2/3)πr.
Step-by-step explanation:
Answer:
DC = 10.93 cm , AC = 9.8 cm
Step-by-step explanation:
From trigonometry;
⇒ Tan 60 = AB/BD
⇒AB = BD Tan 60 ( where BD = 4 cm )
⇒ AB = 6.93 cm
Also, AB=BC , therefore;
⇒ BC = 6.93 cm
⇒ Cos 60 = BD/AD
⇒ AD = BD/ Cos 60 = 4/Cos 60
⇒ AD = 8 cm
From Pythagoras theorem;
⇒
=
+
=
+ 
⇒ AC =
= 9.80 cm
⇒ DC = BD + BC = 4 + 6.93
⇒ DC = 10.93 cm
Answer:
18.18 miles.
Step-by-step explanation:
A truck uses 1 tablespoon of gasoline to drive 125 yards.
Now, 1 gallon of gasoline contains 256 tablespoons of gasoline.
So, the truck uses 1 gallon i.e. 256 tablespoons of gasoline to drive (256 × 125) = 32000 yards.
Now, 1-mile distance contains 1760 yards.
Therefore, the truck uses 1 gallon of gasoline to drive
miles. (Answer)
Answer:
23 chalkboards
Step-by-step explanation:
Given:
Mean length = 5 m
Standard deviation = 0.01
Number of units ordered = 1000
Now,
The z factor =
or
The z factor =
or
Z = - 2
Now, the Probability P( length < 4.98 )
Also, From z table the p-value = 0.0228
therefore,
P( length < 4.98 ) = 0.0228
Hence, out of 1000 chalkboard ordered (0.0228 × 1000) = 23 chalkboard are likely to have lengths of under 4.98 m.
Slope = (y2 - y1)/(x2 - x1)
Slope = (8 - 0)/(3 - 1)
Slope = 8/2
Slope = 4
Answer
4