Answer:
Step-by-step explanation:
two step equation
n - 5/2 = 5
n = 5 + 5/2
n = 5 + 2.5
n = 7.5
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check
7.5 - 5/2 = 5
7.5 - 2.5 = 5
5 = 5
the answer is good
Step-by-step explanation:
3cos2x +sinx=1
3(1-2sin²x)+sinx=1
3-6sin²x+sinx=1
sinx(-6sinx+1)=1
either
sinx=1
sinx=sin(90)
:.x=90
or
-6sinx+1=1
-6sinx=1-1
sinx=0/-6
sinx=sin0,sin180
:.x=0,180and90
Answer:
6.5
Step-by-step explanation:
Answer:
389 feets apart
Step-by-step explanation:
Given that:
Building A
Height = 400feets
Angle of elevation = 70°
Building B:
Height = 300 feets
Angle of elevation = 52°
Distance from the foot of building A to where Jonny is standing = x (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 70 = 400/ x
2.7474774x = 400
x = 145.58809 feets
Distance from the foot of building B to where Jonny is standing = y (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 52 = 300/ y
1.2799416y = 300
y = 145.59
y = 234.38568 feets
x + y = distance between the two buildings
(145.58809 + 234.38568) feets
= 379.97377
= 380 feets apart
Step-by-step explanation:
since for one muffins we need 20.35 g of flour
then for 700 muffins we need 20.35×700=14245g
14245g= 14.245kg
since she has 10.8kg then she needs extra (14.245-10.8)kg
=3.445kg