754,863 rounded to the nearest ten thousands is 750,000
Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
The two angles are x and 9x/5
<h3 /><h3 />
Let the two angles we require be x and y.
<h3 /><h3>Ratio of both angles</h3>
We have that the ratio of both angles are x:y
Since both angles are in the ratio 5:9, we have that,
x:y = 5:9
⇒ x/y = 5/9
<h3 /><h3>Value of the other angle</h3>
So, we Make y subject of the formula
Multiplying both sides by y, we have
y × x/y = 5/9 × y
x = 5y/9
Multiplying both sides by 9, we have
9 × x = 5y/9 × 9
9x = 5y
Dividing both sides by 5, we have
9x/5 = 5y/5
y = 9x/5
So, the two angles are x and 9x/5
Learn more about angles here:
brainly.com/question/14362353
Ya I like the first one better than the second one but both are good
Answer:
60
Step-by-step explanation:
The perimeter is the measurement around an object.
So first you multiply the 20 and the 10 by 2.
20 * 2 = 40
10 * 2 = 20
Then, add then up!
40 + 20 = 60
