Answer:
When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour
Step-by-step explanation:
Ex: If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.
120/3 = 40/1
The unit rate of 120 students for every 3 buses is 40 students per bus. You could also find the unit rate by dividing the first term of the ratio by the second term.
The angle sum theorem states that the sum of all the interior angles of a triangle is 180 degrees. In a Euclidean space, the sum of the measure of the interior angles of a triangle sum up to 180 degrees, be it an acute, obtuse, or a right triangle which is the direct result of the angle sum theorem of the triangle
Step-by-step explanation:
Answer:
The length of segment AC is 10 units ⇒ 1st answer
Step-by-step explanation:
Look to the attached figure
In circle A
∵ AB is a radius
∵ BC is a tangent to circle A at B
- The radius and the tangent are perpendicular to each other
at the point of contact
∴ AB ⊥ BC at point B
∴ m∠ABC = 90°
In ΔABC
∵ m∠B = 90°
∵ AB = 8 units
∵ BC = 6 units
- By using Pythagoras Theorem (Square the hypotenuse is
equal to the sum of the squares of the other two sides of
the triangle)
∵ (AC)² = (AB)² + (BC)²
∴ (AC)² = (8)² +(6)²
∴ (AC)² = 64 + 36
∴ (AC)² = 100
- Take √ for both sides
∴ AC = 10 units
The length of segment AC is 10 units
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Answer:
f = 11
Step-by-step explanation:
First step, divide the total amount recommended by the amount in the juice:
18 / 1.5 = 12
so you will need 12 x 8 = 96 ounces of apple juice total
