Answer:
640 cm³
Step-by-step explanation:
V = 1/3Bh
So...
1/3(32)(60)
= 640 cm³
Answer:
r = 4
Step-by-step explanation:
z ^ (7/10) * z^ ( 33/10)
We know that a^ b* a^c = a^(b+c)
z^ (7/10 +33/10)
z^ (40/10)
z^4
r = 4
Answer:
79.4 m
Step-by-step explanation:
In this problem we deal with a right triangle with hypotenuse 90 m. We are told that tan Ф = 15/8; 15 represents the vertical distance of the kite off the ground and 8 represents the horizontal distance from the kite flyer to the kite. This is sufficient info from which to determine the angle of elevation from kite flyer to kite: tan Ф = 15/8 yields Ф = 1.08 radians.
Using this same angle Ф = 1.08 radians, sin Ф = (vertical distance) / hypotenuse = sin 1.08 rad = 0.882.
Then the vertical distance (height of the kite) is
(90 m)(0.882) = 79.4 m
The x-intercept of a function is the point where it crosses the x-axis.
The x-intercept of g(x)=log(x + 4) is -3
<h3>How to determine the x-intercept</h3>
We have:
f(x) = log(x)
Rewrite as:
y = log(x)
Apply the exponent rule

Set y to 0

Given that f(x) is shifted 4 units left to get g(x).
The x-intercept of g(x) is then calculated as:


Hence, the x-intercept of g(x)=log(x + 4) is -3
Read more about intercepts at:
brainly.com/question/570062
Answer:
$
Step-by-step explanation:
Use the compound-interest formula:

Where:
FV=Future value or the ending amount
PV=Present value or the initial amount=750
n=Number of compoundings in any one year=2
t=Total number of years=4
r=interest rate=0.0425
Now, replacing the data in the equation:
$