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zheka24 [161]
3 years ago
6

Graph a system of equations to approximate the

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
8 0

Answer: B

Step-by-step explanation:

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PLEASE can someone explain why The exact value of sec ( π/6) is 2 /√ 3 ??
Umnica [9.8K]
\bf sec\left( \frac{\pi }{6} \right)\qquad recall\to sec(\theta)=\cfrac{1}{cos(\theta)}\qquad thus
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sec\left( \frac{\pi }{6}\right)\iff \cfrac{1}{cos\left( \frac{\pi }{6}\right)}
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\textit{check your Unit Circle for what the }cos\left( \frac{\pi }{6}\right)\ is
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\cfrac{1}{\frac{\sqrt{3}}{2}}\implies \cfrac{\frac{1}{1}}{\frac{\sqrt{3}}{2}}\implies 
\cfrac{1}{1}\cdot \cfrac{2}{\sqrt{3}}\implies \cfrac{2}{\sqrt{3}}
3 0
3 years ago
The base of a triangular prism is an isosceles right triangle with a hypotenuse of 72−−√ centimeters. The height of the prism is
Amiraneli [1.4K]

Answer:

Step-by-step explanation:

Surface area = lateral area + 2(area of base)

Lateral area = perimeter of base * height.

Because it is a isosceles right triangle, both sides are equal.

x^{2} +x^{2} = 72

2x^{2} = 72. Divide both sides by 2

x^{2} = 36.  Square both sides.

x = 6.

So the perimeter of the base = 6 + 6 +\sqrt{72} = 20.485281374239

Lateral area = 20.485281374239 * 7 = 143.397 cm^{2}

Area of base is (1/2)base * height.

(1/2)(6)(6) = 18

Using the surface area formula

surface area = 143.397 + 2(18) = 179.4 cm^{3}

4 0
3 years ago
Miriam and Ruth are each individually applying for an $8,000, 24-month personal
IgorC [24]

Answer:

  Miriam

Step-by-step explanation:

Miriam, with her lower FICO score, is more likely to have been offered the loan with the higher interest rate.

3 0
3 years ago
Efficiency is the ratio of output work to input work, expressed as a percentage. Light bulbs put out less light energy than the
grandymaker [24]

Answer:

  10%

Step-by-step explanation:

Using the given formula with the given data, we have ...

  efficiency = output work / input work

  = (10 J)/(100 J) = 0.10 = 10%

7 0
3 years ago
I need help I don’t remember these
Levart [38]

4. Using the given formula, replace t with 8 seconds and multiply:

343 x 8 = 2,744 meters.

5. Domain is the X value, replace x with 1/4 and solve:

1/4^2 + 2 = 2 1/8

y= 2 1/8

6 0
3 years ago
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