A zip line starts 28 feet in the air and
1 answer:
<u>Given:</u>
A zip line goes from 28 feet to 11 feet in the air. The angle of depression is 85°.
<u>To find:</u>
The length of the zip line where there is no rider.
<u>Solution:</u>
A right-angled triangle can be formed using the given data.
The difference in height between the start and end of the zipline is . The angle of the triangle is 85°.
Assume the zip line is x feet long.
The adjacent side of the triangle measures 17 feet, the hypotenuse of the triangle measures x feet, and the angle of the triangle is 85°.
To determine x, we calculate the cos of the given angle.
Rounding this off, we get the length of the zip line when there is no rider is 195.18 feet long.
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Answer:
The expression that can be used to determine the final cost of the game is
1.06(0.88 y) ⇒ (C)
Step-by-step explanation:
- If the price of an item is discounted, that mean its new price will be less its initial price
- The taxes on item, makes its new price greater than the initial price because tax is add
Let us solve the problem
∵ Ella purchased a game that was on sale for 12% off
→ That means the new price will (100% - 12%) of the initial price
∵ y represented the initial price of the game
→ Multiply y by (100% - 12%) to get the new price
∴ The new price = y (100% - 12%)
∴ The new price = y (88%)
→ Change 88% to normal number by divide it by 100
∴ The new price = y ()
∴ The new price = 0.88 y
∵ The sales tax in her county is 6%
→ That means the final cost will be (100% + 6%) of 0.88 y
∴ The final cost = (100% + 6%) × (0.88 y)
∴ The final cost = 106% × (0.88 y)
→ Change 106% to normal number by divide it by 100
∴ The final cost = × (0.88 y)
∴ The final cost = 1.06(0.88 y)
The expression that can be used to determine the final cost of the game is 1.06(0.88 y)
Answer:
The price of a sandwich is £2.5 and the price of a croissant is £2
Step-by-step explanation:
Let s be the number of sandwiches and c be the number of croissants
Then according to given statements the equations will be:
Multiplying equation 1 by 2 and subtracting equation 2 from the new equation
Now
Putting s=2.5 in equation 1
Hence,
The price of a sandwich is £2.5 and the price of a croissant is £2
Answer:
This is possible.
Step-by-step explanation:
We can say that m<E=m<E, because of the Reflexive Property
Then, we have angles JKL and ELJ, which are equal through the peripheral angle theorem.
With these two angles, we can say that triangles ELK and EJL are similar, by the Angle-Angle Postulate (AA).
Then we can create this ratio through the Corresponding Parts of Similar Triangles Theorem, (CPST), .
With this ratio, we can cross multiply to get the desired result
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Hope this helps with your RSM problem
Yup, i caught ya.