Answer:
= 298/11
Step-by-step explanation:
3x + 5y = 2 | ×2 |
2x - 4y = 20 | ×3 |
6x + 10y = 4
6x - 12y = 60
____________--
22y = -56
y = -56/22
y = -28/11
3x + 5y = 2 | ×4 |
2x - 4y = 20 | ×5 |
12x + 20y = 8
10x - 20y = 100
_____________+
22x = 108
x = 108/22
x = 54/11
5x - y
= 5(54/11) - (-28/11)
= 270/11 + 28/11
= 298/11
Three of the four towns are on the vertices of the triangle ΔCBD, through
which the bearing can calculated.
<h3>Response:</h3>
- The bearing of D from B is approximately <u>209.05°</u>
<h3>Method by which the bearing is found;</h3>
From the given information, we have;
AC = AB = 25 km
∠BAC = 90° (definition of angle between north and east)
ΔABC = An isosceles right triangle (definition)
∠ACD = ∠ABC = 45° (base angles of an isosceles right triangle)
The bearing of <em>D</em> from <em>B</em> is the angle measured from the north of <em>B</em> to the
direction of <em>D.</em>
<em />
Therefore;
- The bearing of D from B ≈ 90° + (180° - 60.945°) = <u>209.05°</u>
Learn more about bearings in mathematics here:
brainly.com/question/10710413
Answer:
1. 34.4°
2. 18.8°
3. 37.7°
4. 36.6°
5. 40.6°
6. 7.5
7. 12.3
8. 14.7
9. 22.0
10. 6.3
Step-by-step explanation:
1. The missing angle is found by the use of the sine.
Sine ∅= opposite/ hypotenuse
=13/23
sin⁻¹(13/23)=34.4°
2. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=17/50
Tan⁻¹(17/50)=18.8°
3. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=17/22
Tan⁻¹ (17/22) = 37.7°
4. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=21/28
Tan⁻¹ (21/28)=36.9°
5. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=24/28
Tan⁻¹ (24/28) = 40.6°
6. Missing side is calculated by considering the tan of 58°
Tan 58°=12/x
x=12/Tan 58°
=7.5
7. Missing side is calculated by considering the sine of 43°
Sin 43°= opposite / hypotenuse
Sin 43 =x/18
x= 18 Sin 43
=12.3
8. Missing side is calculated by considering the sine of 62°
Sin 62° = 13/x
x=13/Sin 62°
=14.7
9. Missing side is calculated by considering the tan of 36°
Tan 36°= 16/x
x=16/Tan 36°
=22.0
10. Missing side is calculated by considering the sine of 23°
Sin 23° = x/16
x=16 Sin 23
=6.3
It is point G, because that is where the 3 angle bisectors meet.
Answer:
I believe that Kevin is 6 years old now.
Step-by-step explanation:
I used the guess and check method to figure this out.
First, I began by making Daniel 1 years old, two years ago. Kevin was 4 times as old as Daniel two years ago, so he would be 4 at the time. Now, Daniel would be 3 and Kevin would be 6 years old. The statement that Kevin is three years older than Daniel would confirm this, because 6-3=3. Hope this helps, this is my first time answering:)
