All categories

3 years ago

Divide mixed numbers(no decimal answers)

Mathematics

1 answer:

cestrela7 [59]3 years ago

8 0

Answer:

$\\\frac{9}{10}$ NOT 100% sure! If its not this I think its $\frac{22}{45}$

You might be interested in

Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. A full-size lemon tree grew three times as much as

dimulka [17.4K]

Answer: the dwarf tree grew by 3 inches.

the semi dwarf tree grew by 6 inches.

the full size tree grew by 18 inches.

Step-by-step explanation:

Let x represent how much the semi-dwarf lemon tree grew.

Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. This means that the amount by which the dwarf lemon tree grew is expressed as x/2

A full-size lemon tree grew three times as much as the semi-dwarf lemon. This means that the amount by which the full-size lemon tree grew is expressed as 3x

Together, the three trees grew 27 inches. This means that

x/2 + x + 3x = 27

Cross multiplying by 2, it becomes

x + 2x + 6x = 54

9x = 54

x = 54/9

x = 6 inches

The dwarf tree grew by 6/2 = 3 inches.

The full-size lemon tree grew by 3 × 6 = 18 inches

7 0

3 years ago

The diagrams shows a 3cm x 5cm x 4cm cuboid.

Vera_Pavlovna [14]

Answer:

a) 5.83 cm

b) 34.45°

Step-by-step explanation:

a) From Pythagoras theorem of right triangles, given right triangle ABC:

AB² + BC² = AC²

Therefore:

AC² = 5² + 3²

AC² = 25 + 9 = 34

AC = √34

AC = 5.83 cm

b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.

From Pythagoras theorem of right triangles, given right triangle ACD:

AD² + AC² = DC²

Therefore:

DC² = 5.83² + 4²

DC² = 34 + 16 = 50

DC = √50

DC = 7.07 cm

Let ∠ACD be x. Therefore using sine rule:

$\frac{4}{sin(x)}=\frac{7.07}{sin(90)} \\ sin(x)=\frac{4*sin(90))}{7.07}=0.5657\\ x=sin^{-1}(0.5657)\\x=34.45^o$

6 0

3 years ago

Starting at the park, Jake bikes 3 blocks north, 4 blocks east, 4 blocks south, 7 blocks west, and 1 block north. How many block

yan [13]

I'll use a coordinate plane for this since it's easier (for me) :)

Red = park
Blue = his trail
Pink = distance from park = 3

Hope this helped! Please comment or DM me if you have anymore questions or don't understand :)