Answer:
200.96
or
201 (if you round it up)
Step-by-step explanation:
1) Well, if we know that the diameter (D) is 16 cm, then we know that the radius (r) is 8 cm (D = 2 * r).
2) Next, we square (^2) the radius, and we get 64 (r^2 = r * r = 8*8 = 64)
3) Finally, we multiply π by 64, and we get 200.96 cm^2 (3.14 * 64) which is very close to 201 cm^2.
Any acute angle means that the angle is less than 90 degrees and it less than a right angle so it tends to look squished or pressed.
<u><em>Answer:</em></u>
∠BOY = 38°
<u><em>Explanation:</em></u>
<u>From the diagram, we can note that:</u>
m∠TOY = m∠TOB + m∠BOY ...................> equation I
We are given that ray OB bisects the angle
<u>Therefore:</u>
m∠TOB = m∠BOY
<u>Substitute in equation I:</u>
m∠TOY = m∠TOB + m∠TOB = 2m∠TOB ............> equation II
<u>We are given that:</u>
m∠TOY = 8x-36
m∠TOB = x+24
<u>Substitute with the givens in equation II and solve for x:</u>
m∠TOY = 2m∠TOB
8x - 36 = 2(x + 24)
2(4x-18) = 2(x+24)
4x - 18 = x + 24
3x = 42
x = 14
<u>This means that:</u>
m∠TOB = x + 24 = 14 + 24 = 38°
<u>Since </u>
m∠TOB = m∠BOY
<u>Therefore:</u>
m∠BOY = 38°
<u>Check:</u>
m∠TOY = 8x - 36 = 8(14) - 36 = 76° which is twice m∠TOB
Hope this helps :)
I = PRT/100 where P = pricipal, R = rate and T = number of years. I = interest.
So answer is (3250 * 1.7 * 3) / 100 = $165.75
Answer:
The correct answer is A. $729.98.
Step-by-step explanation:
Given that the purchase price for a house is $ 309,900, to determine what is the monthly payment if you put 20% down for a 30 year loan with a fixed rate of 6%, the following calculation must be performed:
100 - 20 = 80
(309,900 x 0.80) x 1.06 / (30x12) = X
247,920 x 1.06 / 360 = X
262,795.2 / 360 = X
729.98 = X
Therefore, the monthly payments will be $ 729.98.
