Answer: angle p = 124°
Step-by-step explanation: Angle W and angle P are opposite interior angles so they have the same measure.
Answer:
It takes about 350 minutes to bike 100 miles
Step-by-step explanation:
53/15 = 3.5 (rounded to the nearest tenth place)
3.5 x 100 = 350
Answer:
Combined volume of the two game systems
cubic inches
Step-by-step explanation:
Volume of a cuboid = length × breadth × height
Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall.
So,
Volume of Soham's video game system = 8 × 6 × 2 =
cubic inches
As Sean's video game system measures 1 inch longer on all sides,
the video game system measures
inches long,
inches wide, and
inches tall.
Volume of the video game system = 10 × 8 × 4 =
cubic inches.
Therefore,
Combined volume of the two game systems =
cubic inches
The right answer is letter B).
Answer:
hypotenuse = 13.0 cm
Step-by-step explanation:
Given the dimensions of a right triangle whose legs have measures of 13 cm and 1 cm, we can use the Pythagorean Theorem to find the measure of the triangle's hypotenuse.
The <u>Pythagorean Theorem</u> states that the squared measure of a right triangle's hypotenuse is equal to the sum of the squared lengths of its legs. In other words:
Pythagorean Theorem: c² = a² + b²
Let c = hypotenuse
a = Leg₁ = 1 cm
b = Leg₂ = 13 cm
Substitute these values into the given formula to find the measure of the hypotenuse, c:
c² = a² + b²
c² = ( 1 )² + (13)²
c² = 1 + 169
c² = 170
Next, take the square root of c² and 170 to isolate c:

c = 13.04 or 13.0 cm
Therefore, the length of the hypotenuse is 13.0 cm.