Answer:
Step-by-step explanation:
The formula of a slope:
If
m > 0, then a line is rising
m < 0, then a line is falling
m = 0, then a line is horizontal
m is undefined, then a line is vertical
<h2>a.</h2>
(2, 1) and (4, 5)
<h2>b.</h2>
(-1, 0) and (3, -5)
<h2>c.</h2>
(2, 1) and (-3, 1)
<h2>d.</h2>
(-1, 2) and (-1, -5)
Wayne traveled 90 miles total.
60 miles was 2/3 of the distance.
30 miles is 1/3.
90 miles divided by 4 hours.
90/4
22.5 or 22 1/2 mph
Answer:
540 ft^2.
Step-by-step explanation:
The area of the trapezoid = h/2 (10 + 18) = 14h.
By Pythagoras the height h = √(5^2 - 4^2) = 3.
So the area of the 2 trapezoidal bases = 2 * 14*3
= 84 ft^2.
Now we calculate the area of the four lateral rectangular sides:
= 10*12 + 18*12 + 2*5*12
= 456 ft^2.
Total area = 456 + 54
= 540 ft^2.
Answer:
m MN = 70°
Step-by-step explanation:
∠MLN is an angle formed by the chords ML and LN and is calculated as
∠MLN = 0.5( m arc MN ), that is
35° = 0.5 arc MN ( multiply both sides by 2 )
arc MN = 2 × 35° = 70°
First mug holds the most
<em><u>Solution:</u></em>
Given that,
You are choosing between two mugs
<em><u>The volume of cylinder is given as:</u></em>
Where,
r is the radius and h is the height
<em><u>One has a base that is 5.5 inches in diameter and a height of 3 inches</u></em>
Therefore,
Also, h = 3 inches
<em><u>Thus volume of cylinder is given as:</u></em>
Thus first mug holds 71.24 cubic inches
<em><u>The other has a base of 4.5 inches in diameter and a height of 4 inches</u></em>
h = 4 inches
Therefore,
Thus the second mug holds 63.585 cubic inches
On comparing, volume of both mugs,
Volume of first mug > volume of second mug
First mug holds the most