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3 years ago

8

Which side lengths form a right triangle?

1 answer:

soldier1979 [14.2K]3 years ago

3 0

Answer:

B

Step-by-step explanation:

1^2+8^2= $\sqrt 65\\$

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An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create

neonofarm [45]

Answer:

The answer is 161.5

Step-by-step explanation:

Step-by-step explanation: The top half of the kite is 6 in times 17 in because 8.5 + 8.5 = 17 so its 102. Half of 102 is 51 so 51 is the area of the top half. The bottom half is 13 in times 17 in which equals 221. Half of 221 is 110.5. Then 110.5 + 51 = 161.5... So your answer is 161.5 square inches.

7 0

2 years ago

Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

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

If 25% of a number is 12, what is 75% of that number?

snow_tiger [21]

Answer:

36

Step-by-step explanation:

$\frac{0.25}{0.75} =\frac{12}{x} \\$

$0.75 *12=9$

$\frac{9}{0.25} =36$

8 0

3 years ago

CAN SOMEONE HELP ME WHAT IS 18*29

Llana [10]

Answer: if it's 18 times 29 then it's 522. If it's 18 to the power of 29 it's 2.52873108 times 10^36 (decimal form)

Step-by-step explanation:

8 0

3 years ago

Write the equation of the line in slope-intercept form.

Yuki888 [10]

Answer:

Step-by-step explanation:

(0, 1) (1, -1)

(-1 - 1)/(1 - 0) = -2/1 = -2

y - 1 = -2(x - 0)

y - 1 = -2x + 0

y = -2x + 1

4 0

3 years ago