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.
Answer:$920
Step-by-step explanation:
Since the variation is joint, I=KPr where k is the constant of proportionality.
Plugging in the values of I=$375, P=$1500 and r=5% in the equation I=KPr, the value of k can be calculated. Hence, the formula connecting the three quantities (I,P and r) can be generated.
375 = K (1500×5)
Making k the subject of change,
K = 375/(1500×5)
K=1/20
Formula connecting the three quantities :I =Pr/20
when P=$2300, r=8%,
I = (2300×8)/20
I = $920
They are the relationship because the first two place value start with 6
Answer:
The answer is option D.
Step-by-step explanation:
You have to multiply it :
h(x) × g(x) = (h×g)(x)
(h×g)(x) = (x² + 2x)(-3x + 4)
(h×g)(x) = -3x³ + 4x² - 6x² + 8x
(h×g)(x) = -3x³ - 2x² + 8x
The first one is true
<span>4(4a+10) is
</span>16 a + 40 after distribution
The second one is also true
<span>2(8a+20)
16a + 40 after distribution
Third is not true
</span><span>4a(4+10a)
</span><span>16a + 40a^2 after distribution
Last one is also true
</span><span>8(2a+5)
16a + 40 after distribution
Hope this helps :)</span>
