When you make a drawing with the instructions, and call x the altitude of the plane and y the distance from the angle 72 ° to the point straight below the plane, you obtain these equations
tan(55°) = x / (2.2 + y)
tan (72°) = x / y
You solve y from the second equation
y = x / tan(72°)
Substitute y in the first equation
tan (55°) = x /(2.2 + x/tan(72°)
Solve for x:
x = tan(55)[2.2 + x/tan(72) ]
x = tan(55) (2.2) + x tan(55)/tan(72)
x - x tan (55)/tan(72) = 2.2 tan (55)
Now substitute the values of the tangents
tan (55) = 1.4281
tan(72) = 3.0777
x - 0.464x = 3.1419
x = 3.1419 / (1-0.464) =5.86 m
Ah ... it is a toy plane! I guess.
Answer: 0.35
Step-by-step explanation:
For making any fraction to a decimal you just divide the top number by the bottom number. Ex. 7/20=0.35
Answer:
m∠<em>DEB</em> = _<u>70</u>_°
m∠<em>BCD</em>= _<u>110</u>_°
m∠<em>EAB</em>= _<u>73</u>_°
Step-by-step explanation:
<u>To find ∠</u><em><u>DEB</u></em><u>: </u>
Take the angle of ∠<em>EDC</em>, which is 110°. We know the total degree in a triangle is 180°. So, we do 180° - 110° to get 70°.
<u>To find ∠</u><em><u>BCD</u></em><u>: </u>
Because <em>EBCD</em> is an isosceles trapezoid, this means that ∠<em>D</em> and ∠<em>C</em> both have the congruent angles. Since we know ∠<em>EDC</em> is 110°, this means that ∠<em>C</em> is also 110°.
<u>To find ∠EAB: </u>
We know that m∠<em>ABC</em> is 133° and ∠<em>DEA</em> is 114°. However, both angles count both the triangle and trapezoid. Previously we figured out that ∠<em>DEB</em> is 70°. We'll take the angle of ∠<em>DEA</em> and subtract the angle of ∠<em>DEB</em> from it, which gets us 44°. To figure out the angle of ∠<em>B</em>, we take the angle of ∠<em>ABC</em> and subtract 70° or the angle of ∠<em>DEB</em>, which gets us 63°. Now we take the total degree of a triangle, 180° and minus both 44° and 63° from it, which is 73°.
- 2021 Edmentum
Answer:
12
Step-by-step explanation:
6 = 2*3
4 = 2*2
The least common multiple is
2*2*3 = 12
The least common denominator is 12
Answer:
6.96x10^-3
Step-by-step explanation:
0.00696
We move the decimal point to between 6 and 9
since the number with the decimal point should be between 0 and 9.
Then we count the numbers.
6.96x10^-3.
Hope this helps. ❤❤❤