Answer: =(x - 1) x (x^2 + x + 1)
The function appears to be L(legos) = T(tower)^3
L = T^3
This checks out for t =1,2,3,4
The 100th tower would have 100^3 legos.
100^3 = 1,000,000.
The 100th tower would have 1 million cubes
<h3>
Answer: Choice D) 31.2 miles</h3>
This value is approximate.
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Explanation:
Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.
Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.
Based on those two interior angles, angle C must be...
A+B+C = 180
107+42+C = 180
149+C = 180
C = 180-149
C = 31
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To sum things up so far, we have these known properties of triangle ABC
- angle A = 107 degrees
- side c = side AB = 24 miles
- angle B = 42 degrees
- angle C = 31 degrees
Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).
b/sin(B) = c/sin(C)
b/sin(42) = 24/sin(31)
b = sin(42)*24/sin(31)
b = 31.1804803080182 which is approximate
b = 31.2 miles is the distance from the storm to station A
Make sure your calculator is in degree mode.
The first blank is proportional because <span>two quantities is one in which the two quantities vary directly with one and other. </span>If<span> one item is doubled, the other, related item is also doubled. Because of this, it is also called a direct variation. </span>
Answer:
x= 14
Step-by-step explanation:
x + 5x +10x = 224 CENTS
solving for x
16x = 224
x = 14, the number of each coin there is
