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Alina [70]
3 years ago
10

Simplify the following expression: 35 + (–13) + (+8) – (–6).

Mathematics
1 answer:
Zina [86]3 years ago
5 0
A. 36 is the correct answer
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!!!! could anyone help on these two problems? find the value of each trigonometric ratio
Setler [38]

Answers:

  • sin(C) = 24/25
  • cos(Z) = 5/13

=============================================

Explanation:

The formulas we use are

  • sin(angle) = opposite/hypotenuse
  • cos(angle) = adjacent/hypotenuse

The fraction 15/39 reduces to 5/13 after dividing both parts by the GCF 3.

3 0
3 years ago
BRAINLIEST FOR RIGHT ANSWER!!! The graph shows two lines, A and B. (IMAGE BELOW) How many solutions are there for the pair of eq
Veronika [31]

Answer:

1 solution; (1,4)

Step-by-step explanation:

Whenever two lines intersect, their solution is the point that the two share in common. Here, it's (1,4), so that is the answer.

8 0
3 years ago
What is the radius of this circle?
Alja [10]

Answer:B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answerbox. Also, s
givi [52]

Factorize both quadratic polynomials, as shown below

\begin{gathered} a^2-3a-4=0 \\ \Rightarrow a=\frac{3\pm\sqrt{9+16}}{2}=\frac{3\pm\sqrt{25}}{2}=\frac{3\pm5}{2}\Rightarrow a=-1,4 \\ \Rightarrow a^2-3a-4=(a+1)(a-4) \\  \end{gathered}

Similarly,

\begin{gathered} a^2+5a+4=0 \\ \Rightarrow a=\frac{-5\pm\sqrt{25-16}}{2}=\frac{-5\pm3}{2}\Rightarrow a=-1,-4 \\ \Rightarrow a^2+5a+4=(a+1)(a+4) \end{gathered}

Thus,

\Rightarrow\frac{a^2-3a-4}{a^2+5a+4}=\frac{(a+1)(a-4)}{(a+1)(a+4)}

Therefore, since the denominator cannot be equal to zero.

<h2>The variable restrictions for the original expression are a≠-1,-4</h2>

Then, provided that a is different than -1,

\Rightarrow\frac{a^2-3a-4}{a^2+5a+4}=\frac{x-4}{x+4}<h2>The rational expression in the lowest terms is (x-4)/(x+4)</h2>

7 0
2 years ago
The employees of a firm that manufactures insulation are being tested for indications of asbestos in their lungs. The firm is re
diamong [38]

Answer:

0.070

Step-by-step explanation:

Y = number on trial

Y has a negative binomial distribution

r = 3

P = 30% = 0.3 probability of positive indication.

P(Y = 11) probability of 11 employees that must be tested to get 3 positives

Y-1Cr-1*p^r*q^(y-r)

Y-1 = 11-1 = 10

r-1 = 3 -1 = 2

10C2 x 0.3³x0.7⁸

45x0.027x0.05764801

= 0.070

This is the probability that 11 employees must be tested to get 3 positives.

8 0
3 years ago
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