Answer:
a = 1
b = 3
c = 1
d = 2
e = 6
f = 8
Step-by-step explanation:
Any integer with power as zero = 1
<h3>
For a</h3>
2^x
2^0
= 1
<h3>
For b</h3>
3 * 2^x
3 * 2^0
3 * 1
= 3
<h3>
For c</h3>
2 ^ 3(x)
2 ^ 3(0)
2 ^ 0
= 1
<h3>For d</h3>
2^1
= 2
<h3>
For e</h3>
3 * 2^x
3 * 2^1
3 * 2
= 6
<h3>For f</h3>
2 ^ 3(x)
2 ^ 3(1)
2 ^ 3
2 * 2 * 2
= 8
25% of 15 is the same as 15% of 25
25%=25/100
25% of 15=(25/100)15=(25*15)/100
15%=15/100
15% of 25=(15/100)25=(25*15)/100
Therefore:
25% of 15=15% of 25
because:
(25/100)15=(15/100)25
(25*15)/100=(25*15)/100
3.75=3.75
Answer:
x = 3
Step-by-step explanation:
exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles
97 + x = 64 + 27
x = 97 - 64 - 27 = 6
Answer:
≈3hrs 45mins
Step-by-step explanation:
d=300 miles
s=80mph
Formula: distance/speed=time
Using the formula:
300/80=3.75 hours
0.75 hours=45mins
(To work that out ^) 0.75=x/60
∴ 60*0.75=45mins
Solution: 3hrs 45mins
We have a right triangle. We know the hypotenuse (75 ft) and an angle of 35°. We need to find the opposite leg to the angle of 35° (h). The trigonometric function that relates the opposite leg to an angle with the hypotenuse is sine:
sin 35° = (Opposite leg to 35°) / hypotenuse
sin 35° = h/(75 ft)
Solving for h:
(75 ft) sin 35°=h
h=75 sin 35° ft
h=75 (0.573576436) ft
h=43.01823270 ft
h=43 ft
Answer: T<span>he bottom of the balloon is 43 ft from the ground</span>
