Answer:
4.2
Step-by-step explanation:
By intersecting chords theorem:
Please help me and no links this is due in 10 mins ill give you the crown
1 answer:
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1. To find this we are going to use the converse of the Pythagorean theorem: if the square of the longest side of a triangle is equal to the sum of the squares of its smaller side, the triangle is a right one.
We know from our picture that the longer side of the triangle is 36 and its shorter sides are 24 and 15.
The converse also says that if the square of the longest side is greater than the sum of the squares of the shorter sides, the triangle is obtuse, and if the square of the longest side less than the sum of the squares of the shorter sides, the triangle is acute.
We can conclude that our triangle is an obtuse one; the correct answer is the third one: obtuse
2. Here we have a right triangle with longer side 80 feet and one of the shorter sides 65 feet. Lest
be the distance from the base to the guy wire attached point.
Using the Pythagorean theorem:
We can conclude that the correct answer is fourth choice: 46.64
3. Here we are going to use the Pythagorean theorem. We know that the longest side of our triangle is 40 and its shorter sides are 9 and. Using the Pythagorean theorem:
We can conclude that the correct answer is the fourth option: 38.97
We know from our picture that the longer side of the triangle is 36 and its shorter sides are 24 and 15.
The converse also says that if the square of the longest side is greater than the sum of the squares of the shorter sides, the triangle is obtuse, and if the square of the longest side less than the sum of the squares of the shorter sides, the triangle is acute.
We can conclude that our triangle is an obtuse one; the correct answer is the third one: obtuse
2. Here we have a right triangle with longer side 80 feet and one of the shorter sides 65 feet. Lest
Using the Pythagorean theorem:
We can conclude that the correct answer is fourth choice: 46.64
3. Here we are going to use the Pythagorean theorem. We know that the longest side of our triangle is 40 and its shorter sides are 9 and
We can conclude that the correct answer is the fourth option: 38.97
Answer:
i. x² + 7x - 16800 = 0 ii. x = 126.16 km/h or -133.16 km/h iii. 5.01 h
Step-by-step explanation:
i. If he drove at an average speed of x km/h on his journey from City P to City Q formulate an equation in x and show that it reduces to x2 + 7x – 16 800 = 0.
For the first journey from City P to City Q, with Mr Lee moving at an average speed of x km/h, he reaches there in time, t and covers the distance, d = 600 km
So, xt = 600 (1)
On his return journey from City Q to CIty P, his average speed increases by 7 km/h, so it is (x + 7)km/h and his time is 15 minutes less than his first journey. 15 min = 15/60 h = 0.25 h, we have that his time for the journey is (t - 0.25) h. Since the distance covered is the same d = 600 km,
We have (x + 7)(t - 0.25) = 600 (2)
Expanding the brackets, we have
xt - 0.25x + 7t - 0.25(7) = 600
xt - 0.25x + 7t - 1.75 = 600
From (1) t = 600/x and xt = 600
Substituting these into the equation, we have
600 - 0.25x + 7(600/x) - 1.75 = 600
simplifying
-0.25x + 4200/x - 1.75 = 600 - 600
-0.25x + 4200/x - 1.75 = 0
multiplying through by x, we have
-0.25x² + 4200 - 1.75x = 0
dividing through by -0.25, we have
-0.25x²/-0.25 + 4200/-0.25 - 1.75x/-0.25 = 0
x² - 16800 + 7x = 0
re-arranging, we have
x² + 7x - 16800 = 0
ii. Solve the equation x² + 7x - 16 800 = 0, giving both your answers correct to 2 decimal places.
Using the quadratic formula, we solve x² + 7x - 16800 = 0 for x
So,
So, x = 126.16 km/h or -133.16 km/h
iii. Find the time taken for the return journey
The time taken for the return journey is t' = t + 0.25. Now. t = 600/x
Since x cannot be negative, we use x = 126.16 km/h.
So, t = 600/x = 600/126.16 = 4.76 h
t' = t + 0.25
t' = 4.76 + 0.25
t' = 5.01 h
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (4, 9)
m = =
= 2