If she needs to use 225g of flour for each cake and wants to make 18 cakes she will need 4050g (225x18=4050) of flour but she only has 360g which is obviously not enough flour. For one cake she needs 75g of sugar and since she needs to make 18 cakes she needs 1350g (75x18=1350) of sugar. She only has 135g so it’s not enough.

8 0

3 years ago

In parallelogram abcd, ab=14, bc=20, m(angle)b=54. Find to the nearest tenth the length of diagonal bd, and find measure angle d

muminat

It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20

Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit

Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76°

3 0

3 years ago