Angle 4 is 101°
Just find the last angle in the triangle and subtract that from 180.
The last angle in the triangle is going to be 180-52-49=79
Now subtract that from 180 since a straight line is 180°.
180-79=101
Also, your hint just says to add the two angles inside the triangle together. 52+49=101. So, there is two ways of doing it
Answer:
H(x) = 0.85x -2.00
Step-by-step explanation:
The original price of an item, x dollars, is discounted by 15%.
Let x be the original price of an item
15% =0.15 discount , so discounted amount is 0.15x
Now we subtract discounted amount from original amount
x - 0.15x = 0.85x
A coupon for $2.00 off is applied to the discounted price.
$2.00 is off, so we subtract 2
Function becomes H(x) = 0.85x -2.00
Answer:
dV ≈ 927.4 cm³
Step-by-step explanation:
Formula for volume of a cylinder is;
V = πr²h
Using differentials, we have;
dV = (dV/dr)dr + (dV/dh)dh
Now, dV/dr = 2πrh
dV/dh = πr²
Thus, at r = 24/2 = 12 cm
And at h = 60 cm, we have;
dV/dr = 2π(12 × 60)
dV/dr = 4523.89 cm²
Also;
dV/dh = π(12)²
dV/dh = 452.39 cm²
the metal in the top and bottom is 0.1 cm thick. Thus, dr = 2 × 0.1 = 0.2
the metal in the sides is 0.05 cm thick. Thus; dh = 0.05
Thus;
dV = (4523.89 × 0.2) + (452.39 × 0.05)
dV ≈ 927.4 cm³
Answer:
B
Step-by-step explanation:
So we are at C:
We need to find the dilation:
First we add 4 to x (meaning we move the point C 4 points to the right)
Then we need to subtract 10 to y (meaning we move the point C 10 points downwards)
This will give you your point:
Which is B
Hope this helps!
Answer and Step-by-step explanation:
(1) Scale factor is a constant value that multiplies another value. For a puppy's weight, scale factor is 1.23.
The percentage growth is
1.23 = 1 + 0.23
Percentage is 0.23 or 23%.
(2) Equation for increase is
When w = 4000g:
Using the log law:
t.log(1.23) = log(10.96)
0.08990t = log(10.96)
t = 11.56
The puppy will weigh 4000 grams in 11 and half weeks or between 11 and 12 weeks.