Answer: In June 2097
Step-by-step explanation:
According to the model, to find how many years t should take for 
we must solve the equation 
. Substracting 21100 from both sides, this equation is equivalent to 
.
Using the quadratic formula, the solutions are 
and 
. The solution 
can be neglected as the time t is a nonnegative number, therefore 
.
The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.
If you are trying to figure out how much it will cost:
8 x 4 = 32
Cost of gas = $32
Answer:
The equation's result: 32,000 (Rounded)
Goal: Find the closest or equivalent result in another expression
Step-by-step explanation:
<h3>A)</h3>
How we got to 31,636 was by dividing from left to right.
Remember: When dividing decimals, it's like multiplying whole numbers in a way. The number(the quotient, also) ends up bigger instead of being smaller like when dividing whole numbers. If you multiply decimals, they(the product) end up smaller.
Therefore, A is the correct answer.
<h3>
Answer: 45</h3>
The value is approximate.
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Explanation:
Focus on the upper triangle.
Label the unknown horizontal side as y
Use the pythagorean theorem to solve for y
a^2+b^2 = c^2
10^2 + y^2 = 26^2
100+y^2 = 676
y^2 = 676-100
y^2 = 576
y = sqrt(576)
y = 24
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Now move to the bottom triangle
With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.
Use the sine rule to connect the two and solve for x
sin(angle) = opposite/hypotenuse
sin(32) = y/x
sin(32) = 24/x
x*sin(32) = 24
x = 24/sin(32)
x = 45.2899179551967 which is approximate
x = 45 rounding to the nearest whole number
Side x is approximately 45 cm long.
Note: make sure your calculator is in degree mode.
Answer: 0.3125 hours
Step-by-step explanation:
The formula for time taken to cover a distance is:
= Distance / Speed
Distance = 2.5 miles
Speed = 8 miles per hour
Time taken = 2.5 / 8
= 0.3125 hours
In minutes this is:
= 0.3125 * 60 mins
= 19 mins approx
