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Olenka [21]
2 years ago
9

Which expression is equivalent to (tan(θ/2))(sin θ)

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
8 0

Answer:

B) -1+cos\theta

Step-by-step explanation:

(tan(\frac{\theta}{2}))(-sin\theta)

(\frac{1-cos\theta}{sin\theta})(-sin\theta)

(\frac{-sin\theta+sin\theta cos\theta}{sin\theta})

-1+cos\theta

Therefore, option B is correct

<u>Helpful Tips:</u>

Half-Angle Formula: tan(\frac{\theta}{2})= \frac{1-cos\theta}{sin\theta}=\frac{sin\theta}{1+cos\theta}=\pm\sqrt{\frac{1+cos\theta}{2}}

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A total of $12,000 is invested at two different rates: $5,000 of it is invested at 6%, and the rest is invested at 8%. How much
lesantik [10]
5000*6/100=300
7000*8/100=560
total=860

7 0
3 years ago
as a gift, you fill the calendar with packets of chocolate candy. Each packet has a volume of 2 cubic inches. Find the maximum n
qaws [65]
The picture of the calendar is shown in the attached image.

Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth 
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3

Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
                                                            = 96/2 
                                                            = 48 candies

Hope this helps :)

4 0
3 years ago
What is the volume of a box with length<br> 1 m, width 8 m, and depth 6 m?
Georgia [21]

Answer:

Here is the answer mate. Hope it helps. Please rate my answer and mark as brainlist if you find it helpful.

4 0
2 years ago
Read 2 more answers
What is the area and perimeter. please answer asap ​
Airida [17]

Answer:

Perimeter: 24

Area: 1105.92

Step-by-step explanation:

Perimeter:

Add up all of the numbers

Area:

Multiply all of the numbers

(I'll redo it if this isn'twhat you meant by)

7 0
3 years ago
Sarah can take no more than 22 pounds and I like the trap her suitcase weighs 112 ounces how many more pounds can she park witho
Leya [2.2K]

Answer:

15 pounds

Step-by-step explanation:

there are 16 ounces in one pound

so...

first find the limit in ounces

22  =  \frac{x}{16}

because there are 16 ounces in every one pound you need to multiply 22 by 16

which is 352

now subtract what you already used

352 - 112

which is 240

now convert to pounds

x =  \frac{240}{16}

which is 15

so 15 more pounds

3 0
2 years ago
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