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a_sh-v [17]
3 years ago
8

1. If you change the unit of measure for the side length of a cube from a smaller unit to a larger unit, what happens to the num

ber of the unit cubes that the cube contains?
Mathematics
2 answers:
Natasha2012 [34]3 years ago
7 0
No matter what units you are exchanging to and from, the number of unit cubes will remain constant. For example: If I had a cube who's side was 10 km long, the number of unit cubes would be the volume of the cube which in this case is 1000 km³. So there would be 1000 unit cubes. Then, if I changed the side from 10 km to 10 in, and find the volume, it would be 1000 in³, meaning there are 1000 unit cubes! So the answer to your question is: The number of unit cubes remains constant
mario62 [17]3 years ago
3 0

   

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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3 years ago
Cos4theta+cos2theta/ cos4theta-cos2theta= _____
vovangra [49]

\bf \textit{Sum to Product Identities} \\\\ cos(\alpha)+cos(\beta)=2cos\left(\cfrac{\alpha+\beta}{2}\right)cos\left(\cfrac{\alpha-\beta}{2}\right) \\\\\\ cos(\alpha)-cos(\beta)=-2sin\left(\cfrac{\alpha+\beta}{2}\right)sin\left(\cfrac{\alpha-\beta}{2}\right) \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \cfrac{cos(4\theta )+cos(2\theta )}{cos(4\theta )-cos(2\theta )}\implies \cfrac{2cos\left( \frac{4\theta +2\theta }{2} \right)cos\left( \frac{4\theta -2\theta }{2} \right)}{-2sin\left( \frac{4\theta +2\theta }{2} \right)sin\left( \frac{4\theta -2\theta }{2} \right)} \implies \cfrac{cos\left( \frac{6\theta }{2} \right)cos\left( \frac{2\theta }{2} \right)}{-sin\left( \frac{6\theta }{2} \right)sin\left( \frac{2\theta }{2} \right)}

\bf \cfrac{cos(3\theta )cos(\theta )}{-sin(3\theta )sin(\theta )}\implies -\cfrac{cos(3\theta )}{sin(3\theta )}\cdot \cfrac{cos(\theta )}{sin(\theta )}\implies -cot(3\theta )cot(\theta )

8 0
3 years ago
A college basketball game is 40 minutes long. Derrick’s favorite player participated for 60% of last week’s game. How many minut
alexandr1967 [171]

Answer:

24 minutes

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the positive solution to this equation?<br><br> 3x^2+16x=112
ikadub [295]

Answer:

This equation is in standard form: ax 1+bx+c=0. Substitute 9 for a, 16 for b, and −112 for c in the quadratic formula 2a−b±b2−4ac.x= 2×9−16± 16^2−4×9(−112)Square 16.x=2×9−16±256−4×9(−112) Multiply −4 times 9.x=2×9−16± 256−36(−112) Multiply −36 times −112.x=2×9−16±256+4032 Add 256 to 4032.x=2×9−16±4288 Take the square root of 4288.x=2×9−16±8+67 Multiply 2 times 9x=18−16±8=67

Step-by-step explanation:

hope this help if not let me know

6 0
2 years ago
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0.9 of Karen's Science score is equal to 0.75 of her Math score and 0.8 of her Chemistry score. Given that Karen scored 96 marks
DochEvi [55]

You have to formulate equations for this problem.

Let S = Science score

      M = Math score

       C = Chemistry score

To illustrate the given:

0.9S = 0.75M

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You are given that Karen’s Math score is 96 marks. You have to substitute the Math score to the first equation.

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S = 80

Therefore, Karen’s Science score is 80. Now, you have to substitute the Science score to the second equation.

0.9(80) = 0.8C

0.8C = 72

C = 90

So, Karen’s Chemistry score is 90.

Therefore, the total score of the 3 subjects is 266 (96 + 80 + 90).

5 0
3 years ago
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