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ad-work [718]
3 years ago
10

Find the exact value of tan( cos^-1 ( -5/13))

Mathematics
1 answer:
trasher [3.6K]3 years ago
4 0

Answer:

-¹²/₅  

Step-by-step explanation:

Let cos a = -⁵/₁₃

Then tan a = sin a/cos a

= [√(1 - cos²a)]/cos a

= {√[1 - (-⁵/₁₃)²]}/(-⁵/₁₃)

= -[√(1 - ²⁵/₁₆₉)] × ¹³/₅

= -[(√(¹⁴⁴/₁₆₉ )] × ¹³/₅

= -¹²/₁₃ × ¹³/₅

= -¹²/₅

tan(arccos (-⁵/₁₃)) = -¹²/₅

The diagram shows the 2nd  quadrant of a circle with radius 13, cos a = -⁵/₁₃, and tan a = ¹²/₍₋₅₎ = -¹²/₅.

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Theres 30 kilograms of 10% apple juice. How many kilograms of apples does it need to increase the current apple juice to 25%​?
raketka [301]

The mass of the apple juice needed to increase the initial concentration to 25% is 45 kg

The given parameters;

  • <em>Mass of the apple juice, m = 30 kg</em>
  • <em>current percentage, = 10%</em>
  • <em>final percent after increment = 25%</em>

Let the mass added to increase the percentage to 30% = x

10% ----------------- 30 kg

25% ------------------ ?

= \frac{25 \times 30}{10} \\\\= 75 \ kg

The additional mass is calculated as;

x+ 30 = 75\\\\x = 75 - 30\\\\x = 45 \ kg

Thus, the mass of the apple juice needed to increase the initial concentration to 25% is 45 kg.

Learn more about percentage and ratio here: brainly.com/question/11752721

6 0
3 years ago
The ratio of side lengths of a quadrilateral is 3 : 5 : 6 : 9, and its perimeter is 9.2cm. What is the length of the longest sid
wolverine [178]

Answer:

longest side=3.6

let ratio 3:5:6:9be 3x,5x,6xand9x

perimeter= sum of all side

9.2=3x+5x+6x+9x

9.2=23x

x=9.2÷23

x=0.4

9x=9×0.4=3.6

6x=6×0.4=2.4

5x=5×0.4=2

3x=3×0.4=1.2

5 0
3 years ago
If a backpack cost $50 and the tax rate is 6.5 how much tax will i have pay?
Dafna1 [17]
The amount of tax you would have to pay would be $3.25
7 0
3 years ago
A stack of bricks is 3 1/2 feet high. If each brick is 1 3/4 inches high, how many bricks are in the stack?
uysha [10]
We have to divide 3 1/2 by 1 3/4:
3 1/2 : 1 3/4 = 7/2 : 7/4 = 7/2 * 4/7 = 2
Answer:
A ) 2 bricks are in the stack. 
5 0
3 years ago
I don't get any of these...
Airida [17]
Hi!

So f(x) = 2x + 1
Since f(2), that means x = 2

f(2) = 5

Let's do a few more (the ones I don't do, you have to figure out!)

f(t + 1)...
f(t + 1) = 2(t + 1) + 1
f(t + 1) = 2t + 2 + 1
f(t + 1) = 2t + 3

g[f(m+2)]...
g[f(m+2)] = 2m + 5

Hope this helps! DM me if you need to know the rest. :)
4 0
3 years ago
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