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3 years ago

7

Find the value of x. Round the length to the nearest tenth.

2 answers:

lara [203]3 years ago

3 0

I am not sure but i think its 7.1cm

ad-work [718]3 years ago

3 0

Answer:

x = 9.2 cm

Step-by-step explanation:

We can use a trigonometric relation in order to find the correct answer. In this case, since we know the opposite side to the angle and we want to know the adjacent side, the most convenient function is the tangent:

tan(40°) = opposite/adjacent or opposite = tan(40°)*adjacent

Substituting the adjacent side value and the tan(40°), we get:

x = 0.839 * (11 cm) = 9.229 cm (approximately 9.2 cm)

Therefore, the answer is 9.2 cm.

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Is #4 correct, if not what is

svet-max [94.6K]

Number 4 is correct a^0=1 for all real number a
number 5
y^2(y^2=y^(2+2)=y^4 correct
y^6/y^2=y^(6-2)=y^4 correct
y^0=1 false
y^9/y^5=y^(9-5)=y^4 correct
y^4(y^1)=y^(4+1)=y^5 false

4 0

3 years ago

Read 2 more answers

Which ordered pair below is a solution to the following system of equations?

KatRina [158]

The solution of the equation is given by (-2,-1), This is represented by option C.

<h3>What is a System of Equations?</h3>

A system of equations is a set of equation that have a common solution.

The solution of the equations can be determined by using the Elimination and Substitution method

3x-5y = -1

2x-y = -3

-7x = 14

x = -2

Substituting this value in the equation

3 * (-2) -5y = -1

-6 -5y = -1

-5y = 5

y = -1

Therefore, the solution of the equation is given by (-2,-1), This is represented by option C.

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3 0

1 year ago

Which set of numbers is the most reasonable to describe a person’s hat size? A: Integers. B: Whole numbers. C: Irrational number

FinnZ [79.3K]

The answer is a. integers

8 0

3 years ago

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What Is k 5(3-2k)=2k+39

Hatshy [7]

Answer:

k = -2.

Step-by-step explanation:

5(3 - 2k) = 2k + 39 Distribute the 5 over the parentheses:

15 - 10k = 2k + 39

15 - 39 = 2k + 10k

12k = -24

k = -2.

8 0

2 years ago

The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There

KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling:

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5$

We have to find the value of x such that the probability is 0.05

P(X > x) = 0.05

$P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05$

$= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05$

$=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83$

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0

3 years ago