Answer:
Step-by-step explanation:
<u>Given </u>
- The top of the tree, the point A and the base form a right triangle
- Horizontal leg = 8 m
- Vertical leg = the height of the tree = x
- Angle A = 34° is opposite to the three
<u>Use the ratio to find the value of x:</u>
- opposite / adjacent = tan A
- x/8 = tan 34°
- x = 8 tan 34 degree
- x = 5.4 m (rounded)
Answer:
The remaining tea = 0.305 kg
Step-by-step explanation:
The mass of Tea pack = 0.345 kg
The mass of tea taken = 40 g
as
Therefore, all we need is to subtract 0.04 kg from 0.345 kg to determine the tea left:
i.e.
Remaining Tea left = Total tea - Tea taken
= 0.345 - 0.04
= 0.305 kg
Therefore, the remaining tea = 0.305 kg
Answer:
200
frogs
Step-by-step explanation:
To get this, we simply substitute the value of 8 for t in the exponential equation
we have this;
f(8) = 180(1.02)^8
f(8) = 210.89
which is approximately 211
To the nearest hundredth, the approximate value is 200
Answer:
A. absolute value f(-5)=6
B. linear g(0.2)= 0.3
C. absolute value p(-3)=13
Step-by-step explanation:
f(-5)=|(-5)-3|-2
=|-8|-2
=8-2
=6
g(0.2)= 1.5(0.2)
=0.3
p(-3)=|7-2(-3)|
=|7+6|
=13
Hey, CadenClough! For this, it's best to use algebra. We know that rectangles have two of each measure: two lengths and two widths. This means the formula to find the complete perimeter of the rectangle is 2l + 2w = p.
Now let's look at the problem. For length, we have x + 3 and for width we have 2x - 6. First off, fill in the values for length and width in the perimeter equation like this:
Now distribute the 2:
Combine like terms:
Simplify:
Isolate x:
--> 
Now plug in the value of x:
= 64/3 - 12 + 32/3 + 6
= 26
So x = 
or 16/3.
