Answer:
a. 3.11
b. 7.5 or 7 1/2
c. 6 13/28
d. 133.17
Step-by-step explanation:
Answer:
a) cosθ =
Step-by-step explanation:
<u><em> Step(i):</em></u>-
Given point ( x , y ) = ( - 2 , 3 )
We know that the polar co-ordinates
x = r cos θ and y = r sinθ
where
<u><em>Step(ii)</em></u>:-
x = r cos θ
cosθ
cosθ =
cosθ =
H = 16 cm
s = 16.0702 cm
a = 3 cm
e = 16.14 cm
r = 1.5 cm
V = 48 cm3
L = 96.421 cm2
B = 9 cm2
A = 105.421 cm<span>2
The volume of a square pyramid:V = (1/3)a2hSlant Height of a square pyramid:By the Pythagorean theorem, we know thats2 = r2 + h2since r = a/2s2 = (1/4)a2 + h2, ands = √(h2 + (1/4)a2)This is also the height of a triangle sideLateral Surface Area of a square pyramid (4 isosceles triangles):For the isosceles triangle Area = (1/2)Base x Height. Our base is side length a, and for this calculation our height for the triangle is slant height s. With four
sides we need to multiply by 4.L = 4 x (1/2)as = 2as = 2a√(h2 + (1/4)a2)Squaring the 2 to get it back inside the radical,L = a√(a2 + 4h2)Base Surface Area of a square pyramid (square):B = a2Total Surface Area of a square pyramid:A = L + B = a2 + a√(a2 + 4h2))A = a(a + √(a2 + 4h2))</span>
Answer:
Step-by-step explanation:
step 1
Find the value of w
we know that
---> by supplementary angles (form a linear pair)
substitute the given values
step 2
Find the measure of angle EPD
we know that
----> by vertical angles
substitute
substitute the value of w
step 3
Find the measure of arc DE
we know that
----> by central angle
therefore
14 because you started with 2 and you have 7 weeks in a month. So 2*7=14