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2 years ago

6

The front of the stage, side C , is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the

side of a square A. Is the ropped off area, triangle ABC, a right triangle? Explain.

1 answer:

vovangra [49]2 years ago

8 0

Answer: yes, because any triangle with the ratio of whole number 3:4:5 is a right triangle

Step-by-step explanation:

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The length of a rectangle is one more than five times its width. If a perimeter is 38, find the dimensions . Show work .

saul85 [17]

$x-width\\5x+1-length\\\\2x+2(5x+1)=38\\\\2x+10x+2=38\\\\2x+10x=38-2\\\\12x=36\ \ \ \ \ \ |:12\\\\x=3\\\\5\cdot3+1=15+1=16\\\\Dimensions:\ 3\ and\ 16$

6 0

2 years ago

Find the sum of the first 47 terms of the following series, to the nearest integer.

topjm [15]

Answer:

The sum of the first 47 terms of the given series = 6016

Step-by-step explanation:

Given the sequence

13, 18, 23, ...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

$18-13=5,\:\quad \:23-18=5$

As the difference between all the adjacent terms is the same.

so

$d=5$

$a_1=13$

Arithmetic sequence sum formula

$n\left(a_1+\frac{d\left(n-1\right)}{2}\right)$

Put the values

$d=5$

$a_1=13$

$n=47$

$=47\left(13+\frac{5\left(47-1\right)}{2}\right)$

$=47\left(13+\frac{5\left(47-1\right)}{2}\right)$

$=47\left(13+115\right)$

$=47\cdot \:128$

$=6016$

Thus, the sum of the first 47 terms of the given series = 6016

8 0

2 years ago

Please help me, I need help I don’t know what to do. Last question.

Phantasy [73]

Answer:

B. 5/21 chance

Step-by-step explanation:

The probability he gets the black marker first is 5/7. The probability he gets a blue marker after his black marker not replaced is 2/6 or 1/3. 1/3*5/7 is 5/21

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2 years ago

Read 2 more answers

Find the slope <br> The slope is —-??,

Darya [45]

Answer:

The slope is undefined.

Step-by-step explanation:

All vertical segments are undefined. All horizontal segments are 0.

7 0

2 years ago

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Which of the following is a radical equation?<br><br> X+ 5-12<br> x2 = 16<br> 3+ x7 - 13<br> X = 14

pogonyaev

None of those could be a radical, you would have to have a radical symbol for it to become a radical

8 0

3 years ago