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jek_recluse [69]
3 years ago
11

Find x for, sin⁻¹ 4x + sin⁻¹ 3x = -

frac{\pi }{2}" alt="\frac{\pi }{2}" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0
<h2>Explanation:</h2><h2></h2>

Let's solve this problem graphically. Here we have the following equation:

sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}

So we can rewrite this as:

f(x)=sin^{-1}(4x) + sin^{-1}(3x) \\ \\ g(x)= -\frac{\pi}{2}

So the solution to the equation is the x-value at which the functions f and g intersect. In other words:

f(x)=g(x) \\ \\ sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}

Using graphing calculator, we get that this value occurs at:

\boxed{x=-0.2}

You might be interested in
Please help me.........
marishachu [46]

Answer:

126 square feet

Step-by-step explanation:

The formula for the area of a triangle is ...

A = (1/2)bh . . . . . where b is the base length and h is the height

Here, you have a triangular face that has a base of 6 ft and a height of 14 ft. Its area is ...

A = (1/2)(6 ft)(14 ft) = 42 ft^2

The lateral area of the pyramid consists of 3 such triangles, so the lateral area is ...

LA = 3·(42 ft^2) = 126 ft^2

6 0
3 years ago
The function C(x)=17.5x-10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon. How much doe
Rudiy27

Answer:

8 tickets

Step-by-step explanation:

x = 10 in the given equation.

We have then:

C (x) = 17.5x - 10

C (10) = 17.5 * (10) - 10

C (10) = 165

Answer:

to buy 10 tickets cost:

$ 165

b. How many tickets can you buy with $ 130?  

For this case we must make the substitution: C (x) = 130

We have then:

C (x) = 17.5x - 10

130 = 17.5x - 10

Clearing x we have:

17.5x = 130 + 10

17.5x = 140

x = (140) / (17.5)

x = 8

Answer:

You can buy 8 tickets with $ 130

5 0
2 years ago
A hot-air balloon at 1020 feet descends at a rate of 85 feet per minute. Let y represent the height of the balloon and let x rep
Lady_Fox [76]
Y=1020-85x because since it's a decrease it would be goung do, hence the subtraction
8 0
3 years ago
ASAP!!! ILL GIVE BRAINLIEST !
Alex17521 [72]

Answer:

1) 60

2) 60

3) 119

4) 59

Step-by-step explanation:

All triangle angles add up to 180 degrees. All lines with transversals add to 180 degrees. Use these rules and the measurements given to solve.

3 0
2 years ago
Am I right?
MariettaO [177]
Yes, your answer is right.
5 0
3 years ago
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