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8_murik_8 [283]
3 years ago
6

What do a decimal number and a thumbtack have in common

Mathematics
1 answer:
adoni [48]3 years ago
8 0
They both make a point!
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Proove that <br>1/1-sin theta + 1/1+cos theta = 2×sec square theta ​
Rina8888 [55]

Step-by-step explanation:

We need to prove that,

\dfrac{1}{1-\sin\theta}+\dfrac{1}{1+\sin\theta}=2\times \sec^2\theta

Taking LHS,

\dfrac{1}{1-\sin\theta}+\dfrac{1}{1+\sin\theta}\\\\=\dfrac{(1+\sin\theta)+(1-\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}\\\\=\dfrac{2}{1-\sin^2\theta}\\\\\text{As}\ 1-\sin^2\theta=\cos^2\theta\\\\=\dfrac{2}{\cos^2\theta}\\\\\text{As}\ \dfrac{1}{\cos^2\theta}=\sec^2\theta\\\\=2\sec^2\theta\\\\=RHS

Hence, LHS = RHS.

4 0
3 years ago
What is the height of the box
PSYCHO15rus [73]

Answer:

8 in

Step-by-step explanation:

since the box is the same length in all sides, it is a cube.

length, width and height are all the same.

the volume is 512 in³.

and the volume of a cube is length×width×height = side length³.

512 = length³

length = 8 = width = height

7 0
3 years ago
The ratio of SAMs age to hank is 5 to 3. If the sum of their age is 24. How old is is hank?
Serggg [28]
Lets consider SAM's age is 'x'  and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
3x = 5y --> equation 1
 and also sum of their ages is 24
so, x + y = 24
we need to find Hank's age (y)
so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
72-3y = 5y
72 = 3y+5y
8y= 72
y= 72/8
y = 9 years.

So the Hank's age is 9 years

.
3 0
3 years ago
Which expressions are equivalent to 4 to the 5 power choose all that apply
Nuetrik [128]

Answer:

since you didn't put the answer choices, this is what I know...

4 to the 5 power is 1024

it can be written as:

4x4x4x4x4 or 4^5

Step-by-step explanation:

7 0
2 years ago
List some factors of 18 and 54
Jobisdone [24]
18=3x6,9x2
54=54x1,18x3
6 0
3 years ago
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