Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.
Use the gradient formula below to find the value of m:
*(x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.
Substitute the value of m into the equation:
y= ⅙x +c
To find the value of c, substitute a pair of coordinates.
When x= 6, y= 7,
Thus, the equation of the line is y= ⅙x +6.
Answer:
a) 7/10
b) 1/6
Step-by-step explanation:
a) There are 10 ways to roll a 5 or less. Of those, 7 are greater than 3.
(die 1)(die 2) ∈ {11, 12, 21, 13, 22, 31, 14, 23, 32, 41}
p(>3 | ≤5) = 7/10
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b) Of the 36 possible outcomes of rolling two dice, there are 6 ways to have a 6 and an odd number:
{16, 36, 56, 61, 63, 65}
The probability of interest is 6/36 = 1/6.
Answer:
Step-by-step explanation:
Circumference = πd
= 3.14 * 16
= 50.24
Here's my correct answer.
The area of the shaded = the area of the sector - the area of the isosceles triangle.
Split the isosceles triangle in half, there will be 2 equivalent right triangles , where the radius is the hypotenuse. The measure of those angles are 15, 75 and 90 degrees.
Given hypotenuse = radius = 27.8 in
Sin(15) = opp./hypo
Opp = sin(15) * hypo = 0.2588 * 27.8 = 7.2 in
Now you know one leg = 7.2 in and hypo = 27.8
To find another leg,
a^2 = c^2 – b^2
a^2 = 27.8^2 – 7.2^2 = 772.84 – 51.84 = 721
a = 26.9
Area of 2 equal right triangles = area of the isosceles triangle = 26.9 x 7.2 = 193.68 = 193.7 in^2
Area of sector = (150 / 360) π r^2
= (150 / 360) (3.14) (27.8)^2
= 0.4 * (3.14) (772.84)
= 970.7 in^2
Area of shaded = 970.7 in^2 - 193.7 in^2= 777 in^2
Answer:
777 in^2
