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Serggg [28]
9 months ago
5

Solve. 3 Inx= - 12 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. (Type

an integer or a decimal. Round to the nearest thousandth. Use a comma to separate answers.) O B. The solution is not a real number.

Mathematics
1 answer:
faust18 [17]9 months ago
4 0

Problem

Solution

We have the following equation given:

3 ln x= -12

We can divide both sides of the equation by 3 and we got:

ln x= -12/3

ln x = -4

Now we can apply the inverse operation of the ln who is exponentiation with base euler (e) and we have:

e^(ln x) = e^(-4)

If we simplify we got:

x= e^(-4) = 0.018

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Answer:

3/7

Step-by-step explanation:

P(red) = number of red pens / total number of pens

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(0, 8) is the y-intercept.
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3 years ago
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Find the value of x if 196^×=14​
castortr0y [4]

Answer:

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7 0
3 years ago
O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°
andriy [413]

Answer

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

Given,

∠BCE=28°  ∠ACD=31°  &  line AB=AC .

According To the Question,

  • a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°

  • b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚

        thus , ∠ABC=76° .

  • c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,

Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°

Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)

∠DAB = 180° - 107° ⇔ 73°

& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°

Now, In Triangle ADC Sum of angles in a triangle is 180°

∠ADC = 180° - (31° + 45°)  ⇔  104˚

   

  • d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre  

For Diagram, Please Find in Attachment  

4 0
3 years ago
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