(PLEASEEE dont ignore, need help) ❗️⚠️ State whether the two triangles are similar. If so, write a similarity statement and tell
if they are similar by AA, SSS, or SAS
1 answer:
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Thulani goes to both the library and the market for 5 more times during the year.
Step-by-step explanation:
Thulani goes to the library every 7 days. He goes to the market every 4 days.
We have to calculate the Least Common Multiple (LCM) to analyze the next common day on which he will go to both places.
The factors of 7 are: 1 x 7
The factors of 4 are: 2 x 2
Therefore, the LCM would be = 1 x 7 x 2 x 2
LCM = 28
LCM indicates that Thulani will go to both places on every 28th day.
To calculate the number of times (n) he will go to both places on same day. We can use the formula mentioned below:'
Here frequency represents the LCM = 28.
The number of days are:
August: 30 (we are excluding 1st August)
September: 30
October: 31
November: 30
December: 31
Total = 152
By putting the values in formula, we get
n = 5.42
As, the number of times can only be a whole number. Therefore, Thulani goes to both the library and the market for 5 more times during the year.
Learn more:
The following links have more information
Keywords: LCM, same day
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Answer:
A. The length of the second leg is 8.5 inches
B. The length of the three-dimensional diagonal is 9.9 inches
Step-by-step explanation:
Let us revise the relation between the hypotenuse and the two legs of a right triangle
(hypotenuse)² = (vertical leg)² + (horizontal leg)²
∵ The length of the rectangular box = 8 inches
∵ The width of the rectangular box = 3 inches
∵ The height of the rectangular box = 5 inches
∵ Length and width are perpendicular to each other
∴ The Δ whose legs are 3 and 8 is a right triangle
In the right Δ whose legs are 3 and 8
∵ (hypotenuse)² = (3)² + (8)²
∴ (hypotenuse)² = 9 + 64
∴ (hypotenuse)² = 73
- Take √ for both sides
∴ hypotenuse = = 8.544003745
- Round it to the nearest tenth of one inch
∴ hypotenuse = 8.5 inches
A.
The 3-dimensional diagonal is the hypotenuse of a right triangle whose legs are the vertical edge and the hypotenuse of the right triangle whose legs are 3 and 8
∵ The hypotenuse of the right triangle whose legs are 3 and
8 is 8.5 inches
∴ The length of the second leg is 8.5 inches
B.
In the right triangle whose hypotenuse is the 3-dimensional diagonal and legs are the vertical edge , the hypotenuse of the right triangle whose legs are 3 and 8
∵ (3-dimensional diagonal)² = (5)² + (73)²
∴ (3-dimensional diagonal)² = 25 + 73
∴ (3-dimensional diagonal)² = 98
- Take √ for both sides
∴ 3-dimensional diagonal = = 9.899494937
- Round it to the nearest tenth of an inch
∴ 3-dimensional diagonal = 9.9 inches
∴ The length of the three-dimensional diagonal is 9.9 inches
<em>V.I.N: you can find the length of the three-dimensional diagonal by using this rule → </em><em> </em>