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2 years ago

A green cross is formed by placing two rectangles of dimensions 8cm×4cm over

Mathematics

1 answer:

Goshia [24]2 years ago

4 0

Answer:

The perimeter of the green cross is 32 cm

Step-by-step explanation:

Perimeter

It's the sum of all the external side lengths of a given shape.

The green cross formed by two rectangles is shown in the figure below.

We have outlined the dimensions of the external sides of the resulting cross.

Note there are four corners of 2 cm by 2 cm and four sides of 4 cm each.

The total perimeter is:

8 * 2 cm + 4 * 4 cm = 16 cm + 16 cm = 32 cm

The perimeter of the green cross is 32 cm

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At a recent party it cost $9.50 for refreshments for 10 guest.at this rate,how much would it cost to have refreshment for 80 gue

Talja [164]

For 80 guests you will need 80/10 = 8 times more than for 10 guests:

8*9.50 = $76

Refreshment for 80 guests costs $76.

8 0

3 years ago

The length of overline CD is 12 units. C^ prime D^ prime is the image of overline CD under a dilation with a scale factor of n.

Rufina [12.5K]

Answer:

A, D , and E

Step-by-step explanation:

We have that:

$\overline{CD} = 12 \: units$

$\overline{C'D'}$

is the image of CD after a dilation of scale factor n.

We use the relation between the image length and object length:

$\overline{C'D'} = n \times \overline{CD}$

Option A

If n=3/2, then

$\overline{C'D'} = \frac{3}{2} \times 12 = 3 \times 6 = 18 \: units$

This is true.

Option B

If n=4, then

$\overline{C'D'} = 4 \times 12 = 36 \: units$

This is false.

Option C

If n=8, then

$\overline{C'D'} = 8 \times 12 = 96 \: units$

This too is false.

Option D

If n=2, then

$\overline{C'D'} = 2 \times 12 = 24 \: units$

This is true

Option E

If n=3/4, then

$\overline{C'D'} = \frac{3}{4} \times 12$

$\overline{C'D'} = 3 \times 3 = 9 \: units$

This is also true.

4 0

3 years ago

The maximum land speed of a cheetah is about 120km/hour.

andreyandreev [35.5K]

Answer:

33 m/s

Step-by-step explanation:

120 km/h × (1 h)/(3600 s) × (1000 m)/(1 km) ≈ 33 m/s

_____

Additional comment

In general, units conversion is done by multiplying by a factor whose numerator and denominator have equal values, but different units. The units in that fraction need to be arranged to cancel the units you don't want and leave the units you do want.

8 0

2 years ago

40 pts and Brainliest pls give detailed answer :)

horsena [70]

Answer:

58 ft

Step-by-step explanation:

So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as: $sin(\theta) = \frac{opposite}{hypotenuse}$ . Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.