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3 years ago

How many corners does a cube have in 4 dimensions?

1 answer:

4 0

Well, there is 6 corners that doesn't touch each other. And if you add the ones that are touching each other then it has 10 corners.

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A triangle has two sides of lengths 7 and 9. What value could the length of the third side be?

NNADVOKAT [17]

8 and 10 are possible lengths of the third side.

6 0

3 years ago

Read 2 more answers

A restaurant hostess is paid $50 plus 10% of the waitstaff’s tips for each night she works. If y represents her pay each night a

andrew11 [14]

Answer:

Y+x=5

Step-by-step explanation:

3 0

4 years ago

Geometry . Cosines / sines. Find a and round to the nearest 10th

Lorico [155]

This is the good part of Trigonometry, actually measuring triangles. It's much better than all the identities around sine and cosine and the rest, which actually have more to do with circles than triangles.

This part of trig has a short menu:

Law of Cosines. Three ways to write it, one is $c^2 =a^2+b^2-2ab \cos C$

Law of Sines: $\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

Triangle angles: $A+B+C=180^\circ$

and two special cases of the Law of Cosines, the Pythagorean Theorem

$C=90^\circ, \quad \quad c^2=a^2+b^2$

and the Collinear Points Theorem:

$C=180^\circ, \quad \quad c^2=a^2+b^2 - 2 a b \cos 180^\circ = a^2+b^2+2ab=(a+b)^2$

$c = a+b$

Here we choose Triangle Angles followed by Law of Sines:

A = 180 - 105 -15 = 60 degrees

$\dfrac{a}{\sin 60^\circ}= \dfrac{2}{\sin 105^\circ}$

$a= \dfrac{2 \sin 60^\circ}{\sin 105^\circ} = 1.793...$

Answer: 1.8 cm

When I was a student we'd be expected to get $\sin 105^\circ$ exactly and get

$a = 3 \sqrt{2} - \sqrt 6$

But that was before online homework.

5 0

3 years ago

Find the measure of each interior angle in the polygon.

Nostrana [21]

Add all of them up and divide it by 540 to get x and use the answer instead of x and you will find all of the angles

8 0

4 years ago

Plz tell me answer and explain how I could get the answer.

Vinil7 [7]

Answer: 349.5 miles

<u>Step-by-step explanation:</u>

Use the formula distance (d) = rate (r) x time (t):

Since there are two different rates and times so solve each one separately and then add them together.

$\large{d_1=r_1\times t_1\quad \rightarrow \quad r=75\ mph, t=150\ minutes}\\\\d_1=\dfrac{75\ miles}{1\ hour}\times \dfrac{1\ hour}{60\ minutes}\times 150\ minutes\\\\d_1=187.5\ miles\\\\\\\large{d_2=r_2\times t_2\quad \rightarrow \quad r=81\ mph, t=2\ hours}\\\\d_2=\dfrac{81\ miles}{1\ hour}\times 2\ hours\\\\d_2=162\ miles\\\\\\\large{\text{Total miles driven = }d_1+d_2}\\\\187.5\ miles +162\ miles = \boxed{349.5\ miles}$

7 0

3 years ago