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vlabodo [156]
3 years ago
12

If a trapezoid has an area of 21 cm and a height of 6cm, what are its bases?

Mathematics
1 answer:
zvonat [6]3 years ago
8 0

Answer:

Its base is 7

Step-by-step explanation:

6 x 7 = 42

42 ÷ 2 = 21

The base is 7

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Can somebody prove this mathmatical induction?
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Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

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So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

\sum \limits_{j=1}^k2^j=2(2^k-1)

3 step:

Check for n=k+1 whether the statement

\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)

is true.

Start with the left side:

\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)

According to the 2nd step,

\sum \limits_{j=1}^k2^j=2(2^k-1)

Substitute it into the \ast

\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)

So, you have proved the initial statement

4 0
3 years ago
Use the distributive property to simplify 1/6 × (36+1/2)
kicyunya [14]
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5 0
3 years ago
What’s the equation for this table? Use y=mx+b. HELP
Verdich [7]

Answer:

y = 2x + 12

Step-by-step explanation:

You can check this by plugging any of the values from the table into the equation. You can find the answer by finding the slope and then using that to find the y-intercept.

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If we set x = 0 to find our y-intercept, and we know that we have a slope of 2 we can subtract 2 from 14 to get the y-intercept.

14-2 = 12. --> (0, 12) which is true because we know that the slope is 2.

3 0
3 years ago
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faltersainse [42]

Answer: The answer is 35/3.

Step-by-step explanation:

The answer is 35/3.

8 0
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Citrus2011 [14]

Answer:

The tree is 18 feet high.

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