Answer: The numbers are 10 and 23
Step-by-step explanation:
Let the smaller number be x
And the larger number be y
Ist sentence;
1. The sum of two numbers is 33.
X + y= 33 .........eqn 1
2. second sentence
the larger number is 3 more than two times the smaller number.
Y = 3 +2x
Put y into eqn 1
X+ 3 +2x = 33
3x= 33- 3
3x= 30
X = 30/3
X= 10 and y= 3+ 2x
Y= 3+ 2(10)
Y = 3+ 20
Y= 23
Therefore the two numbers are 10 and 23
Since 2 sides of the triangle are the same, it's an isosceles triangle.
That would also mean that the two angles are the same; 70 and 70.
A triangle has 180 degrees total.
70 + 70 + x = 180
x = 40
Answer:
8%
Step-by-step explanation:
Initial attendance = 2000
New attendance record = 1840
Percentage decrease in attendance :
((Initial - new attendance record) / initial attendance) * 100%
((2000 - 1840) / 2000) * 100%
(160 / 2000) * 100%
0.08 * 100%
8%
8% decrease in attendance
This problem can be done using long addition.
Answer:
As per the statement
The altitude of the balloon is 50 feet and the rope is 75 feet long.
⇒ Altitude of the balloon = 50 feet.
And length of the rope = 75 feet.
We have to find the angle that rope makes with ground,
Using Sine ratio:
You can see the diagram as shown below.
Here,
Opposite side = Altitude of the balloon = 50 feet.
Hypotenuse side = length of the rope = 75 feet.
Substitute the given values we have;
⇒
= 41.8°
Therefore, the angle that the rope makes with the ground is, 41.8 degree
