Explanation:
In a triangle, the sum of all angles is always 180°. So, 180° - 30° - 60° = 90°.
Explanation:
25% of $20 is $5, so the sale price is $20 - $5 = $15.
Explanation:
The volume of a cube is calculated by V = side length × side length × side length = 3 × 3 × 3 = 27 cubic units.
Explanation:
The square root of 144 is the number which, when multiplied by itself, gives 144, which is 12.
Explanation:
The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. Substituting the given radius value of 5 centimeters into the formula, we get C = 2π(5) = 10π cm. Therefore, the circumference of the circle is 10π cm.
Explanation:
The probability of selecting a blue marble is the number of blue marbles divided by the total number of marbles, which is (8 blue marbles) / (12 + 8 + 5) = 8 / 25 = 2/3.
Explanation:
The sequence increases by 3 each time, so the next number is 11 + 3 = 14.
Explanation:
The perimeter of a rectangle is calculated by adding all four sides: 6 + 6 + 4 + 4 = 24 units.
Explanation:
Distance traveled = speed × time = 60 miles/hour × 3 hours = 180 miles.
Explanation:
To find the probability of picking a learner who plays the guitar, divide the number of learners who play the guitar (10) by the total number of learners in the band (40). So, 10 learners who play the guitar ÷ 40 total learners = 0.25 or 25%. This means there is a 25% chance of randomly selecting a learner who plays the guitar from the school band.
Explanation:
To find the ratio of teachers to learners, divide the number of teachers by the number of learners. So, 40 teachers ÷ 160 learners = 1:4. This means for every 1 teacher, there are 4 learners in the school.
