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3 years ago

Solve for a.

Mathematics

1 answer:

egoroff_w [7]3 years ago

3 0

Answer: $a=\sqrt{\frac{30}{23} }$

Step-by-step explanation:

$23a^2=30$

Divide by 23

$a^2=\frac{30}{23}$

Extract the square root.

$a=\sqrt{\frac{30}{23} }$

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Helppp pleaseeee xxxxx

Lady bird [3.3K]

Answer:

$h = 3\sqrt{3}$

$c = 4\sqrt{2}$

Step-by-step explanation:

✔️Finding h using trigonometric ratio:

Reference angle = 60°

Opposite = h

Adjacent = 3

Thus:

$tan(60) = \frac{h}{3}$

$\sqrt{3} = \frac{h}{3}$ (tan 60 = √3)

Multiply both sides by 3

$3\sqrt{3} = h$

$h = 3\sqrt{3}$

✔️Finding c using trigonometric ratio:

Reference angle = 45°

Hypotenuse = 8

Adjacent = c

Thus:

$cos(45) = \frac{c}{8}$

$\frac{\sqrt{2}}{2} = \frac{c}{8}$ (cos 45 = √2/2)

Multiply both sides by 8

$\frac{\sqrt{2}}{2} \times 8 = c$

$\sqrt{2} \times 4 = c$

$c = 4\sqrt{2}$

7 0

2 years ago

How to convert 111101 from base 2 to base 10

lutik1710 [3]

Answer:

Step-by-step explanation:

So basically you separate the numbers like 1 1 1 1 0 1, and time 2 while having the number of numbers as the exponent decreasing. Like this, 1x2^5+1x2^4+1x2^3+1x2^2+0x2^1+1x2^0. Then figure it out and it would be 32+16+8+4+0+1=61. If don't understand, look at the picture below