Answer:
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Question 4
1 answer:
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Answer:
<em>f(x) = </em><em> x - 2 </em>
Step-by-step explanation:
Slope of the line: m =
y - = m( x -
)
f(x) = mx + b (b - is y-intercept)
(0, - 2) Coordinates of y-intercept
(4, - 3)
m = =
<em>f(x) = </em><em> x - 2</em>
Answer:
Step-by-step explanation:
b). Since relation between the number of spring rolls and number of people is,
Number of spring rolls ∝ Number of people
Therefore, Number of spring rolls (R) = k × Number of people (P)
With the help of this proportional relation,
If the number of spring rolls (R) are 6 and the number of people (P) are 3.
6 = 3k
k = 2
So the equation that defines the relation will be,
R = 2P
a). For R = 1,
1 = 2P ⇒ P = 0.5
For R = 10,
10 = 2P ⇒ P = 5
For R = 16,
16 = 2P ⇒ P = 8
For R = 25,
25 = 2P ⇒ P = 12.5
For R = n,
n = 2P ⇒ P =
Answer:
Cliff is 45 m tall.
Step-by-step explanation:
Given:
Height of Sarah = 1.8 m
Angle of elevation = 60°
Angle of elevation 50 m back = 30°
As shown in the figure we have two right angled triangles SPQ and SPR.
Let the height of the cliff be meters and
.
Using trigonometric ratios:
tan (Ф) = opposite/adjacent
In ΔSPQ. In ΔSPR.
⇒ ...equation (i) ⇒
...equation (ii)
Dividing equation (i) and (ii)
⇒
⇒
⇒
⇒
⇒
⇒
⇒ meters
To find plugging
in equation (i)
⇒
⇒
⇒ meters
The height of the cliff from ground :
⇒
⇒
⇒ meters
The cliff is 45 m tall to the nearest meter.
Alternatively, you can write radicals as rational exponents, so that you get
Then recalling that