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KonstantinChe [14]
3 years ago
11

Find the value of x. Round your answer to the nearest tenth.

Mathematics
1 answer:
skad [1K]3 years ago
8 0

Answer:

x = 9.7

Step-by-step explanation:

Reference angle (θ) = 68°

Opposite = 24

Adjacent = x

Apply, the trigonometric function, TOA which is:

tan (/theta) = \frac{Opp}{Adj}

Plug in the values

tan 68 = \frac{24}{x}

Multiply both sides by x

x*tan 68 = 24

Divide both sides by tan 68

x = \frac{24}{tan 68}

x = 9.69662942

x = 9.7 (nearest tenth)

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Solve for all values of c in simplest form.<br> |C – 21 |= 12
Rina8888 [55]

Answer:

33, 9

Step-by-step explanation:

I33-21I=12

I9-21I=

I-12I=12

Every SUM of an absolute value will always be positive!!

5 0
2 years ago
A company that produces dog food claims that its bags contain 11 kg of food. From
andriy [413]

By testing the hypothesis we can conclude that the bag does not contain 11 kg of food.

Given mean of 10.6 kg, population standard deviation of 0.6 and sample size of 25.

We are required to find whether the company is right in saying that their bags contain 11 kg of food.

First we have to make hypothesis.

H_{0}:μ≠11

H_{1}:μ=11

We have to use t statistic because the sample size is less than 30.

t=(X-μ)/s/\sqrt{n}

We will use s/\sqrt{n}=0.6 because we have already given population standard deviation of weights.

t=(11-10.6)/0.6

=0.4/0.6

=0.667

Degree of freedom=n-1

=25-1

=24

T critical at 0.05 with degree of freedom 24=2.0639

T critical at 0.05 with degree of freedom is greater than calculated t so we will accept the null hypothesis.It concludes that the bags donot contain 11 kg of food.

Hence by testing the hypothesis we can conclude that the bag does not contain 11 kg of food.

Learn more about t test at brainly.com/question/6589776

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3 0
1 year ago
What is the slope of a line that is parallel to –x + 3y = 6 Responses 1/3 StartFragment, 1/3, -1 StartFragment, -1, 3 StartFragm
algol13

The slope of the line parallel to the line  –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

It is given that:

The equation of the line:

–x + 3y = 6

Write the equation in standard form:

y = x/3 + 6/3

y = x/3 + 2

m = 1/3

The slope of the line parallel to the line  –x + 3y = 6

M = 1/3

Thus, the slope of the line parallel to the line  –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

Learn more about the slope here:

brainly.com/question/3605446

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5 0
9 months ago
Find the sum of the Infinite Series Below. 20 pts.<br> <img src="https://tex.z-dn.net/?f=%7B36-24%2B16-%2032%2F3%20%2B...%7D" id
ratelena [41]

Answer: 637

Step-by-step explanation:

Follow the

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5 0
2 years ago
Read 2 more answers
What values must x have so that log (x) is greater than 2? justify your answer
kotegsom [21]

Answer:

The value of x must be greater than 100.

Step-by-step explanation:

We need to find the value x for which the value of log(x) is greater than than 2.

log(x)>2

According to the property of logarithm, if a is a real number.

log(x)=a \Rightarrow x=10^a

Using the above property of logarithm, the given inequality can be rewritten as

x>10^2

x>100

We conclude that the value of log(x) is greater than 2 for real values of x which are greater than 100.

Therefore, the value of x must be greater than 100.

3 0
3 years ago
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