Step-by-step explanation:
Draw diagonal AC
The triangle ABC has sides 17 and 25
Say AB is 17, BC is 25
Draw altitude on side BC from A , say h
h = 17 sin B
Area = 25*17 sin B = 408
sin B = 24/25
In ∆ ABC
Cos B = +- 7/25
= 625 + 289 — b^2 / 2*25*17
b^2 = 914 — 14*17 = 676
b = 26
h = 17*24/25 = 408/25 = 16.32
Draw the second diagonal BD
In ∆ BCD, draw altitude from D, say DE =h
BD^2 = h^2 + {(25 + sqrt (289 -h^2) }^2
BD^2 = 16.32^2 + (25 + 4.76)^2
= 885.6576 + 266.3424
BD = √ 1152 = 33.94 m
Answer: 104 miles
Step-by-step explanation:
If 2.5 in = 52 mi, and 2.5 × 2 = 5, then 2.5(2) = 52(2)
5 in = 104 mi
You use distributive property. So (5 x 2)-(5 x x)= 10 - 5x.
We know that the volume of a cone is given by the following relation:
V = (pi * r^2 * h)/3
where r is radius and h is height of the cone
In our case, radius is diameter divide by 2:
V = (pi * (8/2)^2 * 10) / 3 = 167.55 cubic inches
So the container holds 167.55 cubic inches
Answer:
D. 8
Step-by-step explanation:
Draw segment CQ which will be perpendicular to tangent PR.
So, triangle CQR will be right angled triangle right angle at Q.
Let radius of the circle be r.
Therefore,
CQ = CS = r
By Pythagoras Theorem:
