4. The line AB passes through the points A (k, 3) and (5, 4).The gradient of AB is 1/3 Find the value of k

answer is

k=2

Step-by-step explanation:

For this type of question let's use an equation that's are used to find the slope.

Now, substitute the numbers we have,

To check your answer,

m= 4-3/5-2

m=1/3

BOOM!

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34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.