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ryzh [129]
2 years ago
14

Solve for x in the equation:log6-2logx=1.4​

Mathematics
1 answer:
Annette [7]2 years ago
7 0

9514 1404 393

Answer:

  x = (√6)/10^0.7 ≈ 0.488737

Step-by-step explanation:

It can work reasonably well to take antilogs first.

  \log(6)-2\log(x)=1.4\\\\\dfrac{6}{x^2}=10^{1.4}\\\\\dfrac{6}{10^{1.4}}=x^2\\\\x=\dfrac{\sqrt{6}}{10^{0.7}}\approx0.488737

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It is b ............
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2 years ago
yLab and Mastering3.3.43Question HelpIn triangle ABC, the measure of angle Bis 15 more than three times the measure of angle A.
lora16 [44]

∠A = 24°

∠B = 87°

∠A = 24°

Explanation:

The sum of angles in a triangle is 180 degrees

let measure of angle A = ∠A

∠B = 15 more than three times the measure of angle A

∠B = 15 + 3∠A

∠C = 45° more than the measure of angle A

∠C = 45° + ∠A

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

∠A + 15 + 3∠A + 45° + ∠A = 180

collect like terms:

∠A + 3∠A + ∠A + 15 + 45 = 180

5∠A + 60 = 180

5∠A = 180 -60

5∠A = 120

∠A = 120/5

∠A = 24°

∠B = 15 + 3∠A = 15 + 3(24)

∠B = 87°

∠C = 45° + ∠A = 45° + 24°

∠C = 69°

8 0
1 year ago
Give the formula for 15, 25, 35, _____,______,______
alexgriva [62]

Answer:

15,25,35,40,45,50

Step-by-step explanatio

7 0
3 years ago
Read 2 more answers
The measure of angle A to the nearest tenth of a degree is: A 18.5 B 19.5 C 20.5
Andrew [12]

Answer:

B


Step-by-step explanation:

<u>This is a right triangle as shown by the right angle.</u>

  • The side opposite the right angle is the hypotenuse, which is 9.
  • The side opposite angle A is 3.

So we have the opposite of A and the hypotenuse.

The trigonometric ratio that relates opposite side to hypotenuse is SINE.

sin\theta=\frac{opposite}{hypotenuse}

Since, we need angle A, \theta is A, opposite side is 3, and hypotenuse is 9, we substitute:

sinA=\frac{3}{9}\\sinA=\frac{1}{3}

<em>To solve for the angle, we use our calculator and find the inverse sin of \frac{1}{3} :</em>

A=sin^{-1}(\frac{1}{3})\\A=19.47

<em>Rounding to nearest tenth of a degree:</em>

A=19.5

B is the right choice.

6 0
3 years ago
2) (-8, -9). (4.-10)
const2013 [10]

Answer: √

145 or 12.04159457 for the decimal ways try 12

Step-by-step explanation: 12.0415945787923

Midpoint (−2,−9.5)

Slope −0.0833333333333333

x intercept −116.00

y intercept −9.67

4 0
3 years ago
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