Answer:
m∠1 = 52°
m∠2 = 38°
Step-by-step explanation:
x + 33 + 2x = 90
3x = 57
x = 19
m∠1 = 19 + 33 = 52°
m∠2 = 2 ( 19 ) = 38°
Answer:
m = -
, c = - 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y + 1 = 0 ( subtract 2x + 1 from both sides )
3y = - 2x - 1 ( divide terms by 3 )
y = -
x -
← in slope- intercept form
with m = -
and c = - 
Answer:
The mode for the colors that Santino wore recently is Blue.
Step-by-step explanation:
The mode of a data set is the term or observation that presents most of the time.
The frequency table of different colored polo shirts worn by Santino is:
Color Frequency
Yellow 2
Blue 3
Green 1
Pink 1
Brown 1
Orange 1
Chartreuse 1
Black 1
Puce 1
The color Blue has the highest frequency, i.e. 3.
So, the mode for the colors that Santino wore recently is Blue.
Answer:
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone ≈ 12.57 m²
Step-by-step explanation:
The given parameters are;
The height of the cone = 5 m
The base radius of the cone = 2 m
The angle which the A
C = 120°
Therefore, we have;
The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone
The angle between [CF] and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°
∴ The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone = 68.2°
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57
The area of the base of the cone ≈ 12.57 m².
Answer:
5.
Step-by-step explanation:
So 5x35 is 175. Divide by 35 and you get 5.