Answer:
Step-by-step explanation:
We know that:
- The initial conditions are -7 meters at 0 minutes.
- Then, after 6 minutes, he was 16 meters below the ground.
According to these two simple facts we can found the linear function that describes this problem. First, the problem says that Mr. Mole is descending at a constant rate, which is the slope of the function. Now, to calculate the slope we need to points, which are 
and 
, where <em>t-values </em>are minutes, and <em>y-values </em>are meters. You can see, that the first point is the initial condition and the second point is 6 minutes later.
So, we calculate the slope:
From the slope we can see that Mr. Mole is descending, because it has a negative sign. Also, the point is on the <em>y-axis</em>, because <em>t</em> is null, so -7 is part of the function. Therefore the function that describes this problem is:
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:
Value of stamp collection = (45b + 43) cents
Step-by-step explanation:
What we have here is as follows;
if there are x 3-cent stamps, then there are 4x 10-cent stamps
So the number of 2-cent stamps is 1 less than 3 cent stamps and that will be x-1 2 cent stamps
Number of 2 cents stamps = b
This means that x-1 = b
Thus, x = b + 1
So the value of the stamp collection is as follows;
x 3 cents stamps = 3(b+ 1) = 3b + 3 cents
4x 10 cents stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40
value of the 2 cents stamp = 2b cents
Total value is thus;
2b + 40b + 40 + 3b + 3 = (45b + 43) cents
A). because B,C, and D didnt really make any sence
B.) $17,200
Tim paid a total of $17,200 for the car.
Downpayment: $1,000
Total Monthly Payment: $450 * 36 mos. = $16,200
Total car payment = Down payment + Total Monthly Payment
TCP = $1,000 + $16,200
TCP = $17,200
