Step-by-step explanation:
In ΔKLM, l = 570 cm, k = 490 cm and ∠K=46°. Find all possible values of ∠L, to the nearest degree.
K
L
M
k = 490
l = 570
46°
?°
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin L}{570}=\frac{\sin 46}{490}
570
sinL
=
490
sin46
Plug in values.
\sin L=\frac{570\sin 46}{490}\approx 0.836783
sinL=
490
570sin46
≈0.836783
Evaluate.
L=\sin^{-1}(0.836783)\approx 56.8\approx 57^{\circ}
L=sin
−1
(0.836783)≈56.8≈57
∘
Inverse sine and round.
\text{Quadrant II: } 180-57=123^{\circ}
Quadrant II: 180−57=123
∘
Sine is positive in quadrants 1 and 2.
\text{Check for possibility:}
Check for possibility:
No triangle's angles may add to more than 180.
46+57=103
46+57=103
∘
←Possible
Less than 180.
46+123=169}
46+123=169
∘
←Possible
Less than 180.
Answer: 57
and 123
Answer:
play a musical don't play a musical Total
instrument instrument
play an sport <em>6</em> 14-6 = 8 <em>14</em>
don't play an sport 10-3 = 7 <em>3</em> 24 -14 = 10
Total 6+7 = 13 8+3 = 11 <em>24</em>
Step-by-step explanation:
Data is In italic.
3.54x10 to the 5th is the standard notation for 0.00000354
Answer:
Direct Variation
Step-by-step explanation:
Given: A car travels at a distance of 
km. The formula that relates to 
is 
To find: kind of variation
Solution:
The formula that relates to is
Here, 
is a constant of proportionality.
Constant of proportionality is also called as constant of variation.
varies directly as .
Therefore, this is a direct variation.
Answer:
Slope: 5/3
y-intercept: (0, -4)
Step-by-step explanation:
Slope-Intercept Formula: y = mx + b
<em>y</em> is your output.
<em>m</em> is your slope.
<em>b</em> is your y-intercept.
