Step-by-step explanation:
(4sin0 × 4sin0) +(4sin0 × -3cos0)+ (3cos0×4sin0) +(3cos0 × -3cos0)=
16 sin²0 - 12 sin0cos0 + 12 sin0cos0 -
9cos²0
= 16sin²0 - 9 cos²0
Answer:
25.12 units^2
Step-by-step explanation:
The area of a semicircle is 1/2 the area of a full circle. The area of a full circle is pi*r^2, so the area of a semicircle is 1/2*pi*r^2.
1/2*(3.14)*4^2=0.5*3.14*16=25.12
Therefore, 25.12 units^2
I hope this helped and have a good rest of your day!
Rewrite the equation: 2y=x-6, y=x/2-3, so slope is 1/2 which is also the slope of the parallel line.
It will have the equation y=x/2+a where a is found by plugging in the given point: 4=-1+a, so a=5.
Therefore y=x/2+5. (This can also be written 2y=x+10 or x-2y+10=0)
To find how many times the length of Noah's ride is compared to Mal's, you would divide the two mixed numbers:
6 3/4 divided by 4 1/2
Convert the mixed numbers to improper fractions:
27/4 divided by 9/2
To solve, multiply 27/4 by the reciprocal of 9/2:
27/4 * 2/9 = 3/2 or 1 and 1/2
So Mal's ride is 1.5 times longer than Noah's.
Answer: 9.55 gallons of gas would remain.
Step-by-step explanation:
If the car consumes a constant of 0.05 gallons for every driven mile, it means that the number of gallons remaining would be decreasing in arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms(miles) in the sequence.
From the information given,
a = 10 gallons
d = - 0.05 gallons
n = 10
We want to determine the value of the 10th term, T10. Therefore,
T10 = 10 - 0.05(10 - 1)
T10 = 10 - 0.45
T10 = 9.55 gallons