Answer:
0.2584
Step-by-step explanation:
12 (–1.4m + 0.4) = m + 0.2
Open the bracket
-16.8m + 4.8 = m + 0.2
collect like terms
-16.8m - m = -4.8 + 0.2
-17.8m = -4.6
Divide both sides by -17.8
m = 4.6/17.8 = 46/178
m = 0.2584
Answer:
see explanation
Step-by-step explanation:
Using the cosine and tangent ratios in the right triangle
cos41° =
=
= 
Multiply both sides by VX
VX × cos41° = 7 ( divide both sides by cos41° )
VX =
≈ 9.3
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tan41° =
=
= 
Multiply both sides by 7
7 × tan41° = WX, thus
WX ≈ 6.1
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The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180° for ∠ X
∠ X = 180° - (90 + 41)° = 180° - 131° = 49°
Answer:
Discount rate=33%
Step-by-step explanation:
Step 1
Determine the discounted amount as shown;
A=I-F
where;
A=discounted amount
I=initial price/original price
F=final price after discount
In our case;
A=unknown
I=$75
F=$50
replacing;
A=(75-50)=25
The discounted amount=$25
Step 2
Determine the discount rate using the formula;
Discount rate=(discount amount/original amount)×100
Discount rate=(25/75)×100=33.33%
Discount rate=33%
Answer:
Step-by-step explanation:
The sides of a quadrilateral always add up to 360°.
Missing angle = 360-115-97-68 = 80°