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3 years ago

How do I work this out?

Mathematics

1 answer:

Irina-Kira [14]3 years ago

6 0

We can find the length of BC:

$(BC)^2+6^2=12^2\implies BC=6\sqrt3$

Then by the law of sines,

$\dfrac{\sin55^\circ}{BC}=\dfrac{\sin90^\circ}{CD}\iff CD=\dfrac{6\sqrt3}{\sin55^\circ}\approx12.7\,\mathrm{cm}$

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Answer:

y=3/5x+23/5

Step-by-step explanation:

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3 years ago

Look at the figure. If m∠JKM = 48, find m∠J.

vladimir2022 [97]

Answer:

Step-by-step explanation:

The measure of angle K is 48, the measure of angle m is 90. From there you have 138 degrees. A triangle is 180 degrees. You subtract 138 from 180.

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2 years ago

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3 years ago

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3 years ago

Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5\,\text{cm}18.5cm18, point, 5, spac

MariettaO [177]

Answer:

14 cm.

Step-by-step explanation:

We have been given that an aquarium is a right rectangular prism 18.5 cm long and 15 cm wide. We are also told that Martene put 3885 cubic cm of water in the aquarium.

To find the depth or height of aquarium, we will use volume of rectangular prism formula.

$\text{Volume of rectangular prism}=l*w*h$ , where,

l = Length of prism,

w = Width of prism,

h = Height of prism.

Upon substituting our given values in above formula we will get,

$3885\text{ cm}^3=18.5\text{ cm}\times 15\text{ cm}\times h$

$3885\text{ cm}^3=277.5\text{ cm}^2\times h$

$\frac{3885\text{ cm}^3}{277.5\text{ cm}^2}=\frac{277.5\text{ cm}^2\times h}{277.5\text{ cm}^2}$

$14\text{ cm}=h$

Therefore, the aquarium is 14 cm deep.

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3 years ago