Answer:
height = 142.00 ft
height ≈ 200. 82 ft
height ≈ 245.95 ft
Step-by-step explanation:
The picture below represent the image of the draw bridge. The illustration will form a right angle triangle. The hypotenuse is each half of the drawbridge which is 284 ft long. The opposite side of the triangle is facing the drawbridge half leg and the adjacent side is horizontal length. This is the side that made the angle with the drawbridge half leg(hypotenuse).
The question ask us to find the height of the drawbridge when it rise which is the opposite sides of the triangle when the angle is 30° , 45° and 60°.
Using SOHCAHTOA principle,
Angle 30°
sin 30° = opposite/hypotenuse
sin 30° = height/284
cross multiply
height = 0.5 × 284
height = 142.00 ft
Angle 45°
sin 45° = height/284
height = 284 × 0.70710678118
height = 200.818325857
height ≈ 200. 82 ft
Angle 60°
sin 60 = height/284
cross multiply
height = 0.86602540378 × 284
height = 245.951214675
height ≈ 245.95 ft
Answer:
1/10
Step-by-step explanation:
A number line is a line which contains numbers marked at intervals (usually regular intervals). Points to the right of the origin are positive numbers while those to the left are negative numbers.
The school is used as the origin. Ellie house is 1 and three fifths blocks east (to the right) of the school. This means that it is + 1 and three fifths (+8/5).
Chase house is 1 and one half blocks (3/2) west of Ellie. Since it is west then it is to the left. Hence the coordinate of chase house = 8/5 - 3/2 = 1/10
Hence the coordinate of chase house is 1/10(one tenths).
The error may be as a result of thinking chase house is to the east of Ellie, hence adding to get 3 and one tenth.
Hello! To do this, first find the volumes of the tanks (how much water they can hold), then how much water is in tank P, and finally, how full tank Q would be.
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To find the volume of a rectangular prism, you multiply the length, width, and height.
Tank P: 15 * 12 * 8 = 1440 cm³
Tank Q: 10 * 20 * 6 = 1200 cm³
Now, we know that tank P is half full. Therefore, the volume of the water must be half that of the whole volume of tank P. We know the volume of Tank P is 1440 cm³, so just divide by 2.
1440/2 = 720 cm³
Therefore, there is 720 cm³ amount of water in Tank P. Finally, find how much of Tank Q this amount of water would occupy.
Set up a fraction to do this:
720 / 1200 = 0.6 = 3/5
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Therefore, 3/5 of Tank Q is filled.
Hope this helps!
Answer:
49.
Step-by-step explanation:
To solve, you can simply list the square numbers in order...
1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2.
1, 4, 9, 16, 25, 36, 49.
Hope this helps!
Answer: Yes , the accuracy rate appear to be acceptable .
Step-by-step explanation:
Let p be the population proportion of the orders that were not accurate .
Then according to the claim we have ,
Since the alternative hypothesis is two-tailed so the hypothesis test is a two-tailed test.
For sample ,
n = 391
Proportion of the orders that were not accurate =
Test statistics for population proportion :-
By using the standard normal distribution table,
The p-value : 
Since the p-value is greater that the significance level (0.05), so we do not reject the null hypothesis.
Hence, we conclude that the accuracy rate appear to be acceptable.
