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Veseljchak [2.6K]
3 years ago
5

Given that BCA = 15° and mangle DCE = 38°, find ACE.

Mathematics
1 answer:
Olenka [21]3 years ago
6 0
A 37 is the answer okay

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Simplify -4 1/6 - -6 1/3 Which of the following is correct?
leonid [27]

Answer:

its 2 1/6 (B)

Step-by-step explanation:

3 0
3 years ago
The change in water vapor in a cloud is modeled by a polynomial function, C(x). C(x) = x^3+ 5x^2+3x+30 Describe how to find the
kari74 [83]

Answer:

Suppose the equation that describes the change in water vapor in a cloud (y) with respect to temperature (x): C(x) = x³ - 4x² - 7x + 10

You find the x-intercepts of the cubic equation by finding the roots. Let y be zero:

x³ - 4x² - 7x + 10 = 0

Now, find possible factors of the constant term in the equation: 10. These could be 1, 2, 5, and 10. Suppose we choose 1. We substitute x=1. If the answer is zero, then x=1 is one of the roots.

(1)³ - 4(1)² - 7(1) + 10 = 0

Hence, x=1 or x-1 = 0 is one of the roots. We use this to manipulate the rest of the terms in the original equation, such that you can factor out (x-1). Substitute -x² - 3x² to -4x³ because they are just equal. Same is true for +3x - 10x for -7x:

x³ -x² - 3x²+3x - 10x + 10 = 0

Factor out like terms such that they have a common factor of (x-1) as much as possible.

x³ -x² = x²(x-1)

- 3x²+3x = -3x(x-1)

- 10x + 10 = -10(x-1)

The factored equation is:

x²(x-1)-3x(x-1)-10(x-1) = 0

Factor out (x-1):

(x-1)(x²-3x-10) = 0

Now, we have the quadratic equation left to be solved:x²-3x-10

Use the quadratic formula to find the roots:

x = [-b +/- √(b²-4ac)]/2a,

The a, b and c coefficients are based on the general form of the quadratic equation: ax² + bx + c. Hence, a=1, b=-3 and c=-10. Substituting the values:

x = [-(-3) +/- √((-3)²-4(1)(-10))]/2(1)

x = 5, -2

Therefore, the roots of the cubic equations are x = 1, x = 5 and x =- 2. These are the x-intercepts of the equation. At temperatures °C, 5°C and -2°C, there is no change in water vapor in a cloud. The graph is shown in the attached picture

Step-by-step explanation:

7 0
3 years ago
Factor the trinomial<br><br> X2-12x +16
wlad13 [49]
2*&/45/+=67364/3/4/32:5,6544 is hothead answer
6 0
3 years ago
Help please!!! I’ll mark u as brainliest
sergeinik [125]

Answer:

Answer is below

Step-by-step explanation:

Yes, the graph would still be a function, but a different function than if the values were all different. This would cause two of the values to be the same and have no slope on the line. Before, the function was quadratic, but now it would be quadratic until the two values are equal.

7 0
3 years ago
Uta invests an amount into a compound interest investment account that pays 6% a year. After six years, she withdraws her total
AnnZ [28]

Answer: $352.48

Step-by-step explanation:

Hi, to answer this question we have to apply the formula:

A = P (1 + r)^t

Where  

A: total balance after invest

P: principal amount invested

r = interest rate (in decimal form)

t = time (years)

Replacing with the values given:

500= P (1+0.06)^6

Solving for P:

500 = P (1.06)^6

500 / ( (1.06)^6)=P

500 / 1.4185 =P

$352.48= P

6 0
3 years ago
Read 2 more answers
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