Answer:
12
Step-by-step explanation:
The area of a triangle is
A = 1/2 b *h
The base is 6 units (from -2 to 4)
The height is 4 units ( from 1 to 5)
A = 1/2 6*4
= 1/2 (24)
= 12 units^2
<span>
11. Find the exact value by using a half-angle identity. </span><span>sin (22.5)
</span><span>the sine half-angle formula
</span>
sin<span>(x/2)</span>=±((1−cos(x))/2) ^0.5 cos 45=(2^0.5)/2
sin(22.5)=±((1−cos(45))/2) ^0.5
sin(22.5)=±((2-2^0.5))^0.5/2
sin(22.5)=±0.3826834324
<span>
12. Find all solutions to the equation in the interval [0, 2π)</span>cos x = sin 2x
cosx-sin 2x=0
<span>using a graphical tool
</span>in the interval [0, 2π)
<span>the solutions are
x1=0----------------not
solution
x2=</span>π/6------------ not solution<span>
x3=</span>π/2------------ is a solution<span>
x4=5</span>π/6---------- not solution<span>
x5=3</span>π/2---------- is a solution
<span>
the answer is the letter <span>a) pi divided by two. , three pi divided by two
</span></span>
13. Rewrite with only sin x and cos x. sin(2x) = 2*sin(x)*cos(x)
sin 2x - cos x=2*sin(x)*cos(x)- cos x= cos x*(2*sin(x)-1)
<span>the answer is the letter <span>c) cos x (2 sin x -
1)
</span></span>
<span>14. Verify the
identity.
cosine of x divided by quantity one plus sine of x plus quantity one plus sine
of x divided by cosine of x equals two times secant of x</span>.
cosx/(1+sinx) +
(1+sinx)/cosx
<span>
= (cosx * cosx + (1+sinx)(1+sinx)) / (cosx (1+sinx))
= (cos²x + sin²x + 2 sinx + 1) / (cosx (1+sinx))
= (1 + 2 sinx + 1) / (cosx (1+sinx))
= (2 + 2 sinx) / (cosx (1+sinx))
= 2 (1+sinx) / (cosx (1+sinx))
= 2/cosx
<span>= 2 secx Ok is correct</span></span>
Answer: C
the mean and the median
Step-by-step explanation:
From the attached table,
The range of group A = 5 - 0 = 5
The range of group B = 4 - 1 = 3
Difference in range is not equal to $1
The mode of A = 1
The mode of B = 3
Difference in mode is not equal to $1
The median of A = (1 + 2)/2 = 1.5
The median of B = 3
Difference = 3 - 1.5 = $1.5
The mean of A = 16/15 = 1.07
The mean of B = 40/15 = 2.67
The difference = $1.6
From the above analysis, we can therefore conclude that non of the measures are $1 greater for Group B than for Group A
The best option among the options is
the mean and the median
Answer:
I don't know the answer but if your questions are on a textbook, you can download the app Slader on your phone. You can scan the barcode on the textbook, and it gives you the answers and explains it.
Divide the APR by 360 days and multiply it by 30 days to get the monthly interest. Each loan is usually secured by the car you bought. So we will use the secured APR.
8. Average rating secured apr: 5.85% divide by 360 multiply by 30: 0.4875% monthly rate
Cost of car: 19,725 ; sales tax: 4.75% ; down payment: 2,175
19,725 x 1.0475 = 20,661.94 - 2,175 = 18,486.94 loan amount
18,486.94 x 0.4875% = 90.12 accrued interest for the 1st month.
9. Excellent rating secured apr: 4.80% divide by 360 multiply by 30: 0.40% monthly rate
Cost of car: 15,867 ; sales tax: 5.25% ; down payment: 10% of total cost
15,867 x 1.0525 = 16,700.02 x 90% = 15,030.02 the principal balance at the start of the loan.
10. Fair rating secured apr: 7% divide by 360 multiply by 30: 0.5833% monthly rate
Cost of new car: 19,072 ; sales tax: 4.5% ; down payment: 1,200
Cost of used car: 15,365; sales tax: 4.5% ; down payment: 1,200
19,072 x 1.045 = 19,930.24 - 1,200 = 18,730.24
18,730.24 x 0.5833% = 109.25 accrued interest
15,365 x 1.045 = 16,056.43 - 1,200 = 14,856.43
14,856.43 x 0.5833% = 86.66 accrued interest
109.25 - 86.66 = 22.59 is the difference in interest accrued by the end of the first month.