Answer:
Sabrina bought 3 pounds of bananas.
Step-by-step explanation:
Given equations are:
a + b = 8 Eqn 1
0.95a + 1.10b = 8.05 Eqn 2
As we have to find the number of pounds of bananas bought, we will eliminate the variable a from the equation.
Multiplying Eqn 1 by 0.95
0.95(a+b=8)
0.95a+0.95b=7.60 Eqn 3
Subtracting Eqn 3 from Eqn 2
(0.95a+1.10b)-(0.95a+0.95b)=8.05-7.60
0.95a+1.10b-0.95a-0.95b=0.45
0.15b = 0.45
Dividing both sides by 0.15
Hence,
Sabrina bought 3 pounds of bananas.
Step-by-step explanation:
125-8+100
=125+100-8
=225-8
=217
He stop playing with his hamster at 4:06 because 3/5 of an hour is 36 minutes and 36 plus 3:30 is 4:06.
Applying the tangent theorem and trigonometry ratio, the measure of angle A is: 19.5°.
<h3>What is the Tangent Theorem?</h3>
The tangent theorem states that if a line is tangent to a circle, the point at which the radius is drawn to the point of tangency is a right angle.
Thus, consider triangle AKO as a right triangle.
Therefore,
- angle A = reference angle
- Ok = 5 (opposite)
- AO = 15 (hypotenuse)
Using the trigonometry ratio, SOH, we have:
sin A = opp/hyp
sin A = 5/15
sin A = 0.3333
A = 19.5°
Therefore, applying the tangent theorem and trigonometry ratio, the measure of angle A is: 19.5°.
Learn more about tangent theorem on:
brainly.com/question/9892082
