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Mice21 [21]
2 years ago
13

Sally has made a scale drawing of the airplane, in which the wingpsan is 10 inches and the tailspan is 3 inches. What is the act

ual tailspan of the airplane? A) 7.2 feet B) 13 feet C) 14.2 feet Eliminate D) 18.4 feet
Mathematics
1 answer:
labwork [276]2 years ago
7 0
The answer would be a
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Prove that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures
pychu [463]

The attached figure reprsents a prove that a rectangle has congruent diagonals.

<u>Given:</u> rectangle ABCD

<u>Prove:</u> BD ≅ AC

4 0
3 years ago
Which expression is equivalent to *picture attached*
DiKsa [7]

Answer:

The correct option is;

4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3  \left (\dfrac{50(51) }{2} \right )

Step-by-step explanation:

The given expression is presented as follows;

\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3  \right )

Which can be expanded into the following form;

\sum\limits _{n = 1}^{50} \left (4\cdot n^2 + 3  \cdot n\right ) = 4 \times \sum\limits _{n = 1}^{50} \left  n^2 + 3  \times\sum\limits _{n = 1}^{50}  n

From which we have;

\sum\limits _{k = 1}^{n} \left  k^2 = \dfrac{n \times (n+1) \times(2n+1)}{6}

\sum\limits _{k = 1}^{n} \left  k = \dfrac{n \times (n+1) }{2}

Therefore, substituting the value of n = 50 we have;

\sum\limits _{n = 1}^{50} \left  k^2 = \dfrac{50 \times (50+1) \times(2\cdot 50+1)}{6}

\sum\limits _{k = 1}^{50} \left  k = \dfrac{50 \times (50+1) }{2}

Which gives;

4 \times \sum\limits _{n = 1}^{50} \left  n^2 =  4 \times \dfrac{n \times (n+1) \times(2n+1)}{6} = 4 \times \dfrac{50 \times (50+1) \times(2 \times 50+1)}{6}

3  \times\sum\limits _{n = 1}^{50}  n = 3  \times \dfrac{n \times (n+1) }{2} = 3  \times \dfrac{50 \times (51) }{2}

\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3  \right ) = 4 \times \dfrac{50 \times (50+1) \times(2\times 50+1)}{6} +3  \times \dfrac{50 \times (51) }{2}

Therefore, we have;

4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3  \left (\dfrac{50(51) }{2} \right ).

4 0
3 years ago
the equatiom for the number of pages he has left to read is y=254-40x, where x is the number of hour he reads
Greeley [361]
X is 65 because 65 is great and should always be the answer

8 0
2 years ago
What is 500 rounded to the nearest hundred
rosijanka [135]

Answer: 500

Step-by-step explanation:

The reason why it's 500 because it's already been rounded. 500 stays as 500 bc numbers 4 and below goes down to 0 when rounding. When rounding 0-4 with just the ones place it stays the same.

3 0
2 years ago
What percentage is equal to the fraction 4 over 25?
Vikki [24]
4/25 = 0.16. 0.16 is equal to 16%
5 0
3 years ago
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