The answer is 2 square root of 3
Hi there!
Answer:
1. 3=18(6*3=18 and 3*6=18)
2. 4=32(4*8=32 and 8*4=32)
3. 5=50(5*10=50 and 10*5=50)
4. 7=98(7*14=98 and 14*7=98)
Step-by-step explanation:
Division property of equality is dividing both sides of an equation by the same non-zero number does not change the equation.
Multiplication property of equality is multiplying both sides of an equation by the same number does not change the equation.
Addition property of equality is adding the same number to both sides of an equation does not change the equation.
Subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.
a÷c=b÷c for c≠0
Distributive property: ⇒ a(b+c)=ab+ac
___________________________
3=18
18/3=6
3*6=18
6*3=18
18/6=3
______________________
4=32
32/4=8
32/8=4
4*8=32
8*4=32
___________________________
5=50
50/5=10
50/10=5
10*5=50
5*10=50
_______________________________
7=98
7*14=98
98/14=7
98/7=14
14*7=98
_________________________________
Hope this helps!
-Charlie
Have a great day!
Answer:
84 meters.
Step-by-step explanation:
Set each tower equal to each other and you get (3.1/1.71)=(x/46.5)
Solve for X
X≈84.2982
But we want the nearest meter, so it's just 84 meters.
1) EF = 2 and DF = 4
2) KL = 4√3 and JL = 8
3) ST = 6 and RS = 6√3
4) PQ = 4.5√3 and RQ = 4.5
<u>Step-by-step explanation</u>:
<u>Rules for special triangles 30°,60°,90°</u> :
- The length of the side opposite to 30° is a.
- The length of the side opposite to 60° is a√3.
- The length of the side opposite to 90° is 2a.
1) DE = 2√3 is opposite to 60°
⇒ 2√3 = a√3
⇒ a = 2
EF = a which is opposite to 30°.
⇒ EF = 2
DF = 2a which is opposite to 90°.
⇒ DF = 4
2) KJ = 4 is opposite to 30°
⇒ a = 4
KL = a√3 which is opposite to 60°.
⇒ KL = 4√3
JL = 2a which is opposite to 90°.
⇒ JL = 8
3) RT = 12 is opposite to 90°
⇒ 2a = 12
⇒ a = 6
ST = a which is opposite to 30°.
⇒ ST = 6
RS = a√3 which is opposite to 60°.
⇒ RS = 6√3
4) PR = 9 is opposite to 90°
⇒ 2a = 9
⇒ a = 4.5
PQ = a√3 which is opposite to 60°.
⇒ PQ = 4.5√3
RQ = a which is opposite to 30°.
⇒ RQ = 4.5