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juin [17]
4 years ago
9

Please help asap 25 pts

Mathematics
2 answers:
egoroff_w [7]4 years ago
7 0
B. If you were to solve for a, the a values would be 12 and 16 in the equation.
user100 [1]4 years ago
5 0
Hey there.

the answer is totally .....

B.  12 , 16

HOPE IT HELPS 
<span>Payshence ;)</span>
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Prove that:
Lorico [155]
A.)

   \csc^2(x) \tan^2 (x)- 1 = \tan^2(x)

Use the identities \csc x = 1 / \sin x and \tan x = \sin x / \cos x on the left-hand side

   \begin{aligned}&#10;\text{LHS} &= \csc^2(x) \tan^2 (x)- 1 \\&#10;&= \frac{1}{\sin^2 (x)} \cdot \frac{\sin^2 (x)}{\cos^2 (x)} - 1 \\&#10;&= \frac{1}{\cos^2 (x)} - 1&#10;\end{aligned}

Make 1 have a common denominator to allow for fraction subtraction
Multiply the numerator and denominator of 1 by cos^2 x

   \begin{aligned} \text{LHS} &= \frac{1}{\cos^2 (x)} - 1 \cdot \tfrac{\cos^2 (x)}{\cos^2 (x)}  \\&#10;&=  \frac{1}{\cos^2 (x)} - \frac{\cos^2 (x)}{\cos^2 (x)} \\&#10;&=  \frac{1 - \cos^2 x}{\cos^2 (x)}&#10;\end{aligned}

Use Pythagorean identity for the numerator.

If \sin^2 (x) + \cos^2(x) = 1 then subtracting both sides by \cos^2 (x) yields \sin^2(x) = 1 - \cos^2(x). We can substitute that into the numerator

   \begin{aligned} \text{LHS} &= \frac{1 - \cos^2 (x)}{\cos^2 (x)} \\&#10;&= \frac{\sin^2 (x)}{\cos^2 (x)} \\&#10;&= \tan^2 (x) && \text{Since } \tan x = \tfrac{\sin x }{\cos x} \\&#10;&= \text{RHS}&#10;\end{aligned}

======

b.)

   \dfrac{\sec(x)}{\cos(x)} - \dfrac{\tan(x)}{\cot(x)} = 1

For the left-hand side:
By definition, \sec(x) = 1/\cos(x) and \tan (x) = 1/\cot (x)

   \begin{aligned}&#10;\text{LHS} &= \dfrac{\sec(x)}{\cos(x)} - \dfrac{\tan(x)}{\cot(x)}  \\&#10;&= \dfrac{ \frac{1}{\cos(x)} }{\cos(x)} - \dfrac{\frac{1}{\cot(x)}}{\cot(x)} \\&#10;&= \frac{1}{\cos^2 (x)} - \frac{1}{\cot^2(x)} &#10;\end{aligned}

Since \cot (x) = \cos (x) / \sin (x)

   \begin{aligned} \text{LHS} &= \frac{1}{\cos^2 (x)} - \frac{1}{\frac{\cos^2(x)}{\sin^2(x)} } \\ &= \frac{1}{\cos^2 (x)} -\frac{\sin^2(x)}{\cos^2(x)} \\ &= \frac{1 - \sin^2(x)}{\cos^2 (x)} \end{aligned}

Using Pythagorean identity, \cos^2(x) = 1 - \sin^2(x) so

   \begin{aligned} \text{LHS} &= \frac{\cos^2(x)}{\cos^2 (x)} \\&#10;&= 1 \\&#10;&= \text{RHS}&#10;\end{aligned}

6 0
3 years ago
Can you please help me answer this question <br> Negative n=7+6n
Marianna [84]
In the equationn = negative 1
8 0
3 years ago
How do you figure out what is 1/4 of 10.
frosja888 [35]
You can multiply 10 by 1/4 or .25

10x.25=2.5
3 0
3 years ago
Read 2 more answers
myra swims 3/5 of a mile farther than luke.if luke swims 2 and 4/10 miles, how many milrs does myra swim?
Irina-Kira [14]
The answer is 447 because you got to add 35 plus 410
3 0
3 years ago
What sampling method could you use to find the percent of adults your community who support building more nuclear power plants?
masha68 [24]

first find the number of adults in the city then find the number of people who support power plant and if the precent adults in the city is 100% then take the number of people that support power plants and find out what precent of adults In the city are power plant supporters.

5 0
3 years ago
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