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3 years ago

9(2m + 5n + 10) =

Mathematics

2 answers:

Ainat [17]3 years ago

7 0

Answer:

Step-by-step explanation:

9×2m=18m

9×5n=45n

9×10=90

so,our answer is 18m+45n+90

Galina-37 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

9 multiple 2m = 18m

9 multiple 5n = 45n

9 multiple 10= 90

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The latte is covered with a milk foam heart is covering 55 square cm of the coffee, then what is the area of the coffee NOT cove

Marysya12 [62]

Answer:

Step-by-step explanation:

The latte is what covered the coffee, Caffe latte is a coffee drink made with espresso and steamed milk, and this latte do form heart on the coffee, then we are told that the area of the latte heart is 55cm²

Then, space where latte is not form has a diameter 4cm

Then the radius is diameter divided by 2

r=d/2

r=4/2 =2

Then area of the circle which for the surface for the coffee is πr²

A=πr²

A=3.142×2²

A=12.568cm².

Area of coffee not covered is

55-12.568=42.432cm²

6 0

3 years ago

Find the measure of angle QST

mamaluj [8]

Answer:

∠QST = 115°

Step-by-step explanation:

Because all angles on a straight line must add to 180 and so should the total angles in a triangle:

∠UST + 23x = 180

And:

∠UST + 12x + 55 = 180

So knowing this, ∠U + ∠T must add up to 23x because 180 - ∠UST is the same for both above equations:

55 + 12x = 23x

Subtract 12x from both sides to isolate the 55 and 23x:

55 + 12x - 12x = 23x - 12x

55 = 11x

Divide both sides by 11:

$\frac{11x}{11} = \frac{55}{11}$

x = 5

As ∠QST = 23x, we can substitute in the known x:

23x =

23(5) =

23 * 5 = 115

So ∠QST = 115°

Hope this helps!

6 0

3 years ago

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A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 210 feet (ft). If the wheel

frutty [35]

Answer:

The change in the height of the seat of the Ferris wheel is a reduction in height of approximately 74.25 feet

Step-by-step explanation:

The given information are;

The position of the seat on the Ferris wheel = The center level of the wheel

The diameter of the Ferris wheel = 210 feet

The angle of rotation of the wheel = 45° counterclockwise

The height of a point on the Ferris wheel is given by the relation;

h = A·cos(b·x + c) + d

With regards to the question, we have;

h = The height of the seat of the Ferris wheel

A = The amplitude = 1/2 × The diameter of the wheel = 210/2 = 105 feet

360/b = The period

c = The phase shift = 90°

d = The mid line = 0

For a rotation of 45° counterclockwise or-45° clockwise, we have;

b·x = 45°, therefore;

h = 105 × cos(45° + 90°) + 0 = 105 × cos(135°) + 0

h = 105 × cos(135°) ≈ -74.25 feet

Therefore, the height of the seat of the Ferris wheel reduces by 74.246 feet.

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3 years ago

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Y_Kistochka [10]

Answer:

Answer A

Step-by-step explanation:

because formula of a trapezium = (hxbxl) so

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