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2 years ago

Select the correct answer from each drop down menu. In the figure, AB=inches and AC=_

Mathematics

2 answers:

BaLLatris [955]2 years ago

4 0

Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.

Step-by-step explanation: We can use cosine to find the hypotenuse. $cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}$

Using a calculator x is about 13.05

Using tangent we can find the length opposite of <C

$tan(40)=\frac{x}{10} \\tan(40) (10)=\frac{x}{10}(10)\\tan(40) (10) = x$

Using a calculator x would be about 8.4

inysia [295]2 years ago

4 0

Answer:

Step-by-step explanation:

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What is the quotient and the remainder for <br> 52 divided by 8

Marianna [84]

52/8 = 6
6*8 = 48
52-48 = 4

So 52 = 6*8+4

The quotient is 6, the remainder is 4.

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2 years ago

What is the sum of 1/3 + 5 3/4 as a mixed number in simplest form

mart [117]

6 1/12 would be the answer

Rewriting our equation with parts separated

1/3+5+3/4

Solving the fraction parts

1/3+3/4=?

Find the LCD of 1/3 and 3/4 and rewrite to solve with the equivalent fractions.

LCD = 12

4/12+9/12=13/12

Simplifying the fraction part, 13/12,

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3 years ago

The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and stand

Llana [10]

Answer:

0.0903

Step-by-step explanation:

Given that :

The mean = 1450

The standard deviation = 220

sample mean = 1560

$P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})$

$P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})$

$P(X > 1560) = P(Z > \dfrac{110}{220})$

P(X> 1560) = P(Z > 0.5)

P(X> 1560) = 1 - P(Z < 0.5)

From the z tables;

P(X> 1560) = 1 - 0.6915

P(X> 1560) = 0.3085

Let consider the given number of weeks = 52

Mean $\mu_x$ = np = 52 × 0.3085 = 16.042

The standard deviation = $\sqrt {n \time p (1-p)}$

The standard deviation = $\sqrt {52 \times 0.3085 (1-0.3085)}$

The standard deviation = 3.3306

Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.

Then;

Pr ( Y > 20) = P( z > 20)

$Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})$

$Pr ( Y > 20) = P(Z >1 .338)$

From z tables

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2 years ago

Solve the equation by completing the square. Round to the nearest tenth, if necessary. Simplify your solutions and enter them fr

Slav-nsk [51]

Answer:

-1.1, 6.1

Step-by-step explanation:

-2X^2+10X+14=0

(-2X^2+10X+14)/-2=0

X^2-5X-7=0

Then use the quadratic formula because you can't factor

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1 year ago

Find the midpoint of A and B where A has coordinates (2, 4)<br> and B has coordinates (-3,-9).

Pavel [41]

Answer:

x= -0.5

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2 years ago

Select the correct answer from each drop down menu. In the figure, AB=__inches and AC=___

Select the correct answer from each drop down menu. In the figure, AB=inches and AC=_