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3 years ago

Is 100 in greater or less than 3 yd and 1 ft

1 answer:

3 0

1 yards = 36 inches

3 × 36 = 108

1 foot = 12 inches

108 + 12 =120

So 3 yards and 1 foot is equal
to 120 inches

120 is greater than 100 so 3 yards and 1 foot is greater than 100 inches

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Expand and simplify (2x+5y) (x-3y)

Dmitry [639]

Should be simple:

Let's take this one at a time.

2x(x-3y)

You'd get:
$2x^2-3xy$
for the first one.

2nd one:
5y(x-3y)
you'd get:
$+5xy-3y^2$

Put them both together:
$2x^2-3xy+5xy-3y^2$

Combine like terms.

Your Answer:
$2x^2+2xy-3y^2$

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3 years ago

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elena-s [515]

Answer:

Step-by-step explanation:

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3 years ago

Big Ben, the famous clock tower in London, has a minute hand that is 14 feet long. How far does the tip of the minute hand of Bi

ycow [4]

Answer:

36.65 ft (2 dp)

Step-by-step explanation:

Angles around a point sum to 360°
1 hour = 60 minutes

Therefore, the minute hand of a clock travels 360° in 60 minutes

Number of degrees the minute hand will travel in 25 minutes:

$\sf =\dfrac{360}{60} \times 25=150^{\circ}$

To find how far the tip of the minute hand travels in 25 minutes, use the Arc Length formula:

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)$

$\textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}$

Given:

r = length of minute hand = 14 ft
$\theta$ = 150°

$\begin{aligned}\implies \textsf{Arc length} &=2 \pi (14)\left(\dfrac{150^{\circ}}{360^{\circ}}\right)\\ & = 28\pi \left(\dfrac{5}{12}\right)\\ & = \dfrac{35}{3} \pi \\ & = 36.65\: \sf ft\:(2\:dp)\end{aligned}$

4 0

2 years ago

Omar has 2-5/8 cups of dough to make dumplings. If he uses 3/16 cup of dough for each dumpling, how many whole dumplings can Oma

Arte-miy333 [17]

Answer:

The number of whole dumpling does Omar make is 14 .

Step-by-step explanation:

Given as :

The number of cups does Omar has to make dumplings = x = 2 $\dfrac{5}{8}$

i.e x = $\dfrac{16 + 5}{8}$

or, x = $\dfrac{21}{8}$

Again

The number of cups uses for each dumpling = y = $\dfrac{3}{16}$

i.e y = $\dfrac{3}{16}$

Let The number of whole dumpling does Omar make = z

So, number of whole dumpling does Omar make = $\dfrac{\textrm number of cups does Omar has to make dumplings}{number of cups uses for each dumpling }$