Answer:
2.69 approximately 3
Step-by-step explanation:
53⁰+80⁰+A=180⁰(sum of angles on a triangle)
133⁰+A=180
A=180-133
A=47⁰
using sine rule
2/sin 47 = b/sin 80
b sin47 = 2 sin 80
b= 1.9696/0.7314
b=2.69 approximately 3
3/10n = 4/5
n = (4/5)/(3/10)
n = 4/5 * 10/3
n = 8/3
n = 2 2/3
Answer:
The radius is 5 in
Step-by-step explanation:
The area of a circle is given by the formula
A = pi *r^2
We know the area = 78.5 in^2 (volume would be in^3 area is in^2)
78.5 = 3.14*r^2
Divide each side by 3.14
78.5/3.14 = 3.14/3.14*r^2
25 = r^2
Take the square root of each side
sqrt(25) sqrt(r^2)
5 =r
Answer:
y = -2/3x + 4/3
Step-by-step explanation:
If two lines are perpendicular, the product of their slopes is -1
comparing what we have with the general form;
y = mx + b
The slope of the given equation is 3/2
To get the slope of other;
3/2 * m = -1
3m = -2
m = -2/3
So we want to write the point-slope equation
y-y1 = m(x-x1)
y-2 = -2/3(x + 1)
3y - 6 = -2x -2
3y = -2x -2 + 6
3y = -2x + 4
y = -2/3x + 4/3
Answer :Anita's age = 7 years
Basilio's age = 2.5 years
Step 1. Assign variables to Anita's and Basilio's ages.
Anita's age = A
Basilio's age = B
Step 2. Use the information given to form two equations.
Anita is 4-1/2 years older than Basilio
A = 4.5 + B
Three times Anita's age added to six times Basilio's age is 36
3A + 6B = 36
Step 3. Substitute the value of A from first equation in to the second equation and solve for B
3(4.5 + B) + 6B = 36
13.5 + 3B + 6B = 36
13.5 + 9B = 36
9B = 36 - 13.5
9B = 22.5
B = 22.5/9 = 2.5
Step 4. Find the value of A
A = 4.5 + 2.5 = 7
Answer:
Anita's age = 7 years
Basilio's age = 2.5 years
