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Alla [95]
3 years ago
15

PLEASE HELP! I feel horrible and I'm crying so hard right now. This is due.

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0

Answer:

62

Step-by-step explanation:

surface area of a rectangular prism = 2lw + 2lh + 2wh

Where l = length, w = width and h = height

The box has the following dimensions

length = 5 in

width = 3 in

height 2 in

Using these dimensions, we plug in the values into the formula

SA=2(5*3)+2(5*2)+2(3*2)\\5*3=15\\15*2=30\\5*2=10\\10*2=20\\3*2=6\\6*2=12\\SA=30+20+12\\30+20+12=62

Hence, the surface area = 62

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Use a 30degrees and -60degrees right triangle to find the exact value of the following trigonometric expression. Cot 30 degrees=
LuckyWell [14K]

The dirty little secret about trig is students mostly just need to understand the 45/45/90 right isosceles triangle and the 30/60/90 triangle, which is half an isosceles triangle.  

I'm sure you have seen it many times already, so I'll remind you in the 30/60/90 right triangle the sides opposite those angles are respectively in the ratio 1: \sqrt{3}:2.  Remember the smallest side is always opposite the smallest angle, etc.   These make a right triangle because

1^2 + \sqrt{3}^2 = 2^2

So in this hypotenuse 2 triangle, the length 1 side is opposite the 30 degree angle and the \sqrt{3} side is adjacent to it.

We could jump right to the answer but let's enumerate all the trig functions.  Really you should memorize the sine and cosine so you can get these quickly.

\cos 30^\circ = \dfrac{ \textrm{adjacent} }{ \textrm{hypotenuse} } = \dfrac{\sqrt{3}}{2}

\sin 30^\circ = \dfrac{ \textrm{opposite} }{ \textrm{hypotenuse} } = \dfrac{1}{2}

\tan 30^\circ = \dfrac{ \textrm{opposite} }{ \textrm{adjacent} }= \dfrac{1}{\sqrt{3}} =\dfrac{\sqrt{3}}{3}

\cot 30^\circ = \dfrac{ \textrm{adjacent} }{ \textrm{opposite}} = \dfrac{\sqrt{3}}{1} =\sqrt{3}

\sec 30^\circ = \dfrac{ \textrm{hypotenuse} }{ \textrm{adjacent}}= \dfrac{2}{\sqrt{3}}

\csc 30^\circ = \dfrac{ \textrm{hypotenuse} }{ \textrm{opposite}}= \dfrac{2}{1} = 2

We want the cotangent, another way to get it is

\cot 30^\circ = \dfrac{\cos 30^\circ}{\sin 30^\circ} = \dfrac{\sqrt{3}/2}{1/2} = \sqrt{3}

8 0
3 years ago
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Mason bought a clarinet online. It cost $611 plus 21% shipping and handling. What was the total cost?
emmainna [20.7K]
.21 times 611=128.31
128.31 plus 611
739.31
3 0
4 years ago
ANSWER ASAP! DUE TODAY
Anton [14]

Answer:

A.   52°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc.

m∠B = 1/2 (m of arc AC)

26 = 1/2 (m of arc AC)

52 = (m of arc AC)

6 0
3 years ago
Write an algebraic expression for the given quantity. Let x represent the unknown value. One-eight of the suu of a number and th
yan [13]

<u>ANSWER: </u>

The algebraic expression for one-eight of the sum of a number and three is \frac{x}{8}+\frac{3}{8}

<u>SOLUTION: </u>

Given, "x" represent the unknown value.

We have to write the algebraic expression for:Here, the number is unknown term, so x represents the number.

Now according to given information ,

One - eight of the sum of a number and three.

→ \frac{1}{8} of the sum of x and 3

→ \frac{1}{8} \times (x + 3)

→ \frac{x+3}{8}

→ \frac{x}{8}+\frac{3}{8}

Hence the algebraic expression for one-eight of the sum of a number and three is \frac{x}{8}+\frac{3}{8}

6 0
4 years ago
Help me and explain...
igor_vitrenko [27]

Answer:

58100

Step-by-step explanation:

The way I see it is move the decimal point over to the right (or left depending on whether its negative or not) however many units the exponent says. After it moves over the number, add the zeroes for the remaining amount of spaces until you have moved it over the correct amount. I'm not sure if that made any sense, but I know the answer is correct.

8 0
3 years ago
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