Hi! The question is in the is in the picture :) (worth 50 points)

Factorise -75ab² - 15ac

Verdich [7]

Answer:

1) -15·a·(5·b² + c)

2) h < 4

3) 4·x² - 9

4) 1792

5) 156°

6) 2t cm

7) 2·a·m·(2·m - 3)

8) 10 cm

9) 0.00051

10) #47,250

11) -10·p·q

12) 1.35 × 10⁻⁴

13) 320°

14) 20 cm

15) 12·x²·y²

16) 6.36 × 10⁵

17) 4 cm

18) 225°

19) 1034 cm²

20) 29

Step-by-step explanation:

1) The given expression is -75·a·b - 15·a·c

Which can be expressed as -15·a·(5·b² + c)

2) The height, h < 2 × 12/6 = 4

h < 4

3) (2·x - 3)·(2·x + 3) = 4·x² - 9

4) The selling price = 1.12 × 200 × 8 = 1792

5) The interior angle of a polygon is given by the relation;

(n - 2)×180/n for 15, we get;

(15 - 2)×180/15 = 156°

6) 2t cm

7) 4·a·m² - 6·a·m = 2·a·m·(2·m - 3)

8) Slant height = √(8² + 6²) = 10 cm

9) 51 × 10⁻⁵ = 0.00051

10) Cash price = #54,000 × (1 - 0.125) = #47,250

11) -40·p·q÷(-2)² = -10·p·q

12) 0.003 × 0.045 = 1.35 × 10⁻⁴

13) N40°W = 320°

14) The base diameter of the cylinder = √(4 × (700×π cm³/7)/π) = 20 cm

15) The LCM of 2·x²·y, 3·x·y² is 12·x²·y²

16) 636,000 = 6.36 × 10⁵

17) 1/3·π·r²·h₁ = π·r²·h₂

h₂/h₁ = 1/3·π·r²/( π·r²) = 1/3

h₂/12 = 1/3

h₂ = 12/3 = 4 cm, the height of the cylinder = 4 cm

18) The angle = 180 + 45 = 225°

19) The total surface area = 22/7×14²/4 + 22/7 ×14 × 20 = 1034 cm²

20) The number is 58/2 = 29.

4 0

3 years ago

Emma used 1/7 of a liter of milk to make 1/3 of a jug of tea. How much milk, in liters, is required to fill the jug?

fiasKO [112]

Answer:

Step-by-step explanation:

Well....if 1/7 liters of milk makes 1/6 of a jug

Then six times this must be a full jug....so

6*(1/7) =

6/7 liters of milk required

i hope this helps you happy holidays let me know if you need more information

6 0

3 years ago

Read 2 more answers

Find the value of X. Write your answer in simplest form. What does X equal?

drek231 [11]

Given:

Given that the figure of similar triangles.

The altitude of the triangle is x.

The length of the left part is 30.

The length of the right part is 15.

We need to determine the value of x.

Value of x:

The value of x can be determined using the geometric mean theorem.

Thus, we have;

$\frac{\text { left }}{\text { altitude }}=\frac{\text { altitude }}{\text { right }}$

Substituting the values, we have;

$\frac{30}{x}=\frac{x}{15}$

Cross multiplying, we get;

$30 \times 15= x^2$

$450=x^2$

Taking square root on both sides, we have;

$15 \sqrt{2}=x$

Thus, the value of x is 15√2

7 0

3 years ago

In a bolt factory, machines 1,2, and 3 respectively produce 20%, 30% and 50% of the total output. of their respective outputs 5%

lorasvet [3.4K]

Answer:

a. 1/10 or 10%

b. 1/2 or 50%

Step-by-step explanation:

Since the combination of machines 1, 2 and 3 produce 100% of the total output when added together, then the probability of choosing a bolt at random that is defective is: 5 + 2 + 3 = 10% out of 100% or 10/100, which is 1/10 or 10%.

If the bolt that is choosen at random is defective, than the probability that it came from machine 1 is 5/10 or 1/2 which is also 50%.

3 0

3 years ago

Draw a rhombus that is not a square. Label the lengths of its sides and its height so it represents a rhombus with an area of 20

Tcecarenko [31]

Answer:

/\

$\sqrt{20}$ / \ $\sqrt{20}$

/ \

\ /

$\sqrt{20}$ \ / $\sqrt{20}$

\/

Step-by-step explanation:

i hope this is right it took me 30 min for the ascii

6 0

3 years ago