The area of a triangle is given by the formula a=1/2bh, where a = the area of the triangle, b = the length of the base, and h = the height of the triangle. solve the formula for h.

determine the height of a triangle with an area of 45 cm2 and a base that is 9 cm long.

The heigh of the triangle is 10cm

Step-by-step explanation:

The area of a triangle is given by the formula A=1/2bh where

A = the area of the triangle,

b = the length of the base, and

h = the height of the triangle.

To find the height when

the

Area of the triangle, A =45cm2,

base of the triangle, = 9 cm long.

Using the formula, A = 1/2 × b × h

45 = 1/2 × 9 × h

Cross multiplying

2×45 = 1×9×h

90 = 9h

h = 90/9 = 10cm

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

2x+60=

step-by-step explanation: