Answer: sqrt(2)/2 which is choice D
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Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
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Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
Answer:
C. a higher monthly payment.
Step-by-step explanation:
<h3>Answer options:</h3>
Rate adjustment resulted in
<u>A. a lower interest rate.
</u>
- No, interest rate increased from 0.4 to 0.5 percent
<u>B. a higher principal.
</u>
- No, principal decreased from $200000 to $187000
<u>C. a higher monthly payment.
</u>
- Yes, monthly payment increased from $1059.85 to $1162.56
<u>D. a higher number of payments.</u>
- No, number of payments remained as 336
4) The first and second terms for both ratios need to be in the same order.
Step-by-step explanation:
Given ratio is:
16:36
In order to find any ratio equivalent to given ratio, the ratio can be divided by a number or multiplied to a number.
The equivalent ratio that is given: 72:32
If we multiply the given ratio by 2: We get 32:72
So,
Looking at the options we can conclude that the right answer is
4) The first and second terms for both ratios need to be in the same order.
Keywords: Ratio, Fractions
Learn more about ratios at:
#LearnwithBrainly
Answer:
The total surface area of a regular hexagonal pyramid is 146.2 cm².
Step-by-step explanation:
The base is a regular hexagon 4cm on a side. its height is 8 cm.
The total surface area of a pyramid with regular hexagon base
Where, a represents the base edge and h represents the height of the pyramid.
The area of given regular hexagonal pyramid is
The total surface area of a regular hexagonal pyramid is 146.2 cm².
Answer:
246.3%
the complete question is found in the attached document
Step-by-step explanation:
1st step:
using 1936 data,
w1= 356% = 3.56(356/100) , H= 79 feet
specific gravity = 2.65
Sₓ= 100%= 1
initial void ratio(e₀)= (w1 x specific gravity)/Sₓ
=3.56 x 2.65/1 = 9.434
2nd step
using 1996 data
ΔH= 22ft
ΔH/H = Δe/(1 + e₀)
22/79 = Δe/(1+9.434)
0.278=Δe/10.434
Δe= 0.278 x 10.434
Δe= 2.905
Δe= e₀ - eₓ
eₓ= e₀-Δe
eₓ= 9.434 - 2.905
eₓ= 6.529
3rd step
calculating water content in 1996
eₓ =6.529, specific gravity= 2.65, Sₓ= 100%
W2 X 2.65 = 1 x 6.529
w2 = 6.529/2.65 = 2.463 = 246.3%
