8to 10 questions its super hard i need in 8 and 9 i need choose 2 of the 3 questions but i dont know how to answer and i need put the figures and formulas too : (

a) The angle shown as 45.5 deg in the figure should read 45.8 deg.

tan 45.5 deg = y/175

y = 175 ft * tan 45.8 deg = 180 ft

tan 34.4 deg = z/175

z = 175 ft * tan 34.4 deg = 120 ft

y - z = 180 ft - 120 ft = 60 ft

The height of Pres. Washington's face is 60 ft.

b)

Area of 1/8 of a 12" pizza: 1/8 * pi * (12/2 ")^2 = 14.1 in.^2

Area of 1/6 of a 10" pizza: 1/6 * pi * (10/2 ")^2 = 13.1 in.^2

The slice of the 12" pizza is larger.

c)

A bearing of 27 deg is 90 - 27 = 63 deg counterclockwise from due East.

A bearing of 117 deg is 117 - 90 = 27 deg clockwise from due East.

The two bearing directions make a 90 deg angle between them.

55 km/h for 2 hours = 110 km

60 km/h for 1.5 hours = 90 km

The two amounts traveled are 110 km and 90 km at 90 deg from each other. They form the legs of a right triangle. The distance traveled from the starting point is the hypotenuse of the right triangle formed by the the two distances traveled.

(90 km)^2 + (110 km)^2 = d^2

d = 142 km

The distance traveled is 142 km.

2/3

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form