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user100 [1]
2 years ago
15

I need help with this problem

Mathematics
1 answer:
m_a_m_a [10]2 years ago
8 0

Answer:

a. 74°

Step-by-step explanation:

Angle BCD and angle ACB are supplementary because they form a straight line. This means they add up to 180. We can write an equation to model the situation:

m<BCD + m<ACB = 180

106 + m<ACB = 180

m<ACB = 74

Since we are given two sides of the triangle are congruent, the triangle is isosceles. The base angles of an isosceles triangle are congruent, so we can say:

m<ACB = m<A

This means m<A is equal to 74°

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Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.
Virty [35]

Answer:

x=\frac{6e^3}{e^3-1}

Step-by-step explanation:

ln x - ln(x - 6) = 3

Apply natural log property

ln mn=ln m + ln(n), ln(m/n)=ln(m)-ln(n)

ln x - ln(x - 6) = 3

ln(\frac{x}{x-6} )=3

All natural log has base 'e'

\frac{x}{x-6} =e^3

cross multiply

x=e^3(x-6)

x=e^3x-6e^3

add 6e^3 on both sides and -x on both sides

6e^3=e^3x-x

6e^3=x(e^3-1)

Divide e^3-1 on both sides

x=\frac{6e^3}{e^3-1}

5 0
3 years ago
The Area of a rectangular patio is 5 5/8 square yards,and it's length is 1 1/2 yards.What is the patio's width,in yards?
fgiga [73]
Take both mixed numbers (a whole number plus a fraction) and turn them into improper fractions ( a numerator (top number) bigger than the denominator (bottom number). To do this, multiply the denominator by the whole number, and add the result to the numerator.
5 5/8 will become 45/8
1 1/2 will become 3/2.
Area is length* width, so width would be Area/ length. So 45/8 is the area and 3/2 is the length. Now you have (45/8)/(3/2). To divide fractions, take the second fraction and flip the numerator and denominator, forming the reciprocal (2/3). Now multiply 45/8 and 2/3
The result is 90/24, and simplifying would get 15/4, or 3 3/4. This is the width(or length)
8 0
3 years ago
Pls help I don’t get what dis teacher even wants bro
Kaylis [27]

Answer:

5 cups of flour.

Step-by-step explanation:

I know the wording of the problem may be confusing at first, but if you look at it a little bit, it's just multiplication and division.

To start,

12 biscuits require 2 cups of flour,

meaning that 6 biscuits (half of the original) only require 1 cup.

<u>(12/2 = 6)</u>

Next,

We need to find how much flour is in 30 biscuits.

We know that 1 cup is in 6 biscuits, and if you were to find how much was in 30 biscuits, you would just need to divide 30 by 6.

<u>(30/6 = 5)</u>

5 cups of flour would be your answer.

To put it mathematically,

(12/2 = 6), (30/6 = 5)

8 0
10 months ago
Find the slope of the line that goes through (0, 2) and (4, −2).
zmey [24]
M = (y2 - y1) / (x2 - x1) 

m = (-2 - 2) / (4 - 0) 

m = -4 / 4

m = -1 

The slope of the line that goes through (0, 2) and (4, -2) is -1. 
5 0
3 years ago
Read 2 more answers
The absolute value of 4 + 7i is equal to the square<br> root of<br> DONE
leva [86]

Answer:

radical 65

Step-by-step explanation:

4+7 are squred and under a radical bar

4^2 +7^2= 16 +49 under radical bar

radical 16+49=radical 65

good luck

8 0
2 years ago
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