Between the integers 5,000 and 5,500
Answer:
500 adult tickets
Step-by-step explanation:
Let adult and student tickets be x and y.
The number equation is
x + y = 980
The value equation is
5x + 2y = 3460
Let's multiply the first by two and subtract it from the second...
5x + 2y = 3460
-(2x + 2y = 1960)
and we get
3x = 1500
x = 500 adult tickets
y = 480 student tickets
A right triangle is the answer
Lets see here...
so 5³=125
and 125^9=7450580596923828125
if 5^12=244140625
and 7450580596923828125÷244140625 = 30517578125
<span>then doing the math you get 30517578125 which equals 5^15</span>
Answer:
105°
Step-by-step explanation:
We have,
- The inferior angles of the triangle are in the ratio 1:3:8.
We've to calculate the difference in size between the largest and smallest angles.
Let's find the sizes or the values of the angles first.
Let us assume the interior angles of triangle as 1x , 3x and 8x as they are in the ratio 1:3:8.
★ According to the angle sum property of the triangle, the sum of the interior angles of the triangle is 180°. So,
→ 1x + 3x + 8x = 180°
→ 12x = 180°
→ x = 180° ÷ 12
→ <u>x = 15°</u>
Now, the sizes of the angles are,
- First angle = 1x = 1(15) = 15°
- Second angle = 3x = 3(15) = 45°
- Third angle = 8x = 8(15) = 120°
First angle is the smallest angle and the third one is the largest.
→ Difference = Third angle – First angle
→ Difference = 120° – 15°
→ <u>Difference = 105°</u>
Therefore, the difference in size between the largest and smallest angle is 105°.