Solve for an angle in right triangles. Round to the nearest hundredth

Answer:

[tex]x=\frac{\pi }{6} ,\frac{7\pi }{6}[/tex]

Step-by-step explanation:

[tex]3*cot^2x-1=0\\\\3*cot^2x=1\\\\cot^2x=\frac{1}{3} \\\\cot(x)=\sqrt{\frac{1}{3} } \\\\cot(x)=\frac{1}{\sqrt{3} } \\\\\frac{1}{tan(x)}=\frac{1}{\sqrt{3} } \\\\tan(x)=\sqrt{3} \\[/tex]

x=tan^-1([tex]\sqrt{3}[/tex])

It has to be in Quadrant 1  [tex]\frac{+}{+} =+[/tex] or 3 [tex]\frac{-}{-}=+[/tex] for positive.

[tex]x=\frac{\pi }{6} ,\frac{7\pi }{6}[/tex]

Unless that incorrect due to tan(x) range is [tex]-\frac{\pi }{2} \leq x\leq \frac{\pi }{2}[/tex]. Then the only answer is [tex]x=\frac{\pi }{6}[/tex]

Answer:

[tex]x=\dfrac{\log(75.2)}{4\log(8)}[/tex]

Step-by-step explanation:

[tex]\begin{aligned}5 \cdot 8^{4x} & =376\\8^{4x} & = \dfrac{376}{5}\\8^{4x} & =75.2\end{aligned}[/tex]

Taking logs of both sides:

[tex]\implies \log(8)^{4x}=\log(75.2)[/tex]

Using the power log rule [tex]\log_a(x)^n=n\log_a(x)[/tex] :

[tex]\implies 4x\log(8)=\log(75.2)[/tex]

Solving for x:

[tex]\begin{aligned}\implies 4x\log(8) & =\log(75.2)\\\\ 4x & =\dfrac{\log(75.2)}{\log(8)}\\\\x & =\dfrac{\log(75.2)}{4\log(8)}\\\end{aligned}[/tex]

Answer:

Step-by-step explanation:

x + 17 = 25

Then

x + 17 - 17 = 25 - 17 (we subtract 17 from both sides in order to isolate x)

Then

x = 8

Answer:

3w - 2 = 7

Step-by-step explanation:

product of 3 and number (w)

= 3w

two less than that

= 3w - 2

thus, 7 = 3w - 2

Answer:

26

Step-by-step explanation:

Assume the table is a rectangle.

A rectangle has 2 sides with the length of the length and 2 sides with the length of the width.

perimeter = sum of the lengths of the sides

perimeter = 9 + 9 + 4 + 4

perimeter = 26

Answer:

26

Step-by-step explanation:

Assuming the table is rectangular...

Rectangles = 4 sides

2 sides = 9

Other 2 sides = 4

Perimeter = adding up the sides

9+9+4+4=26

Answer:

wed need to see an attatchment of the dot displays to give you an answer friend

Answer:

Maria earned 112 dollars

Step-by-step explanation:

divided 96 by 12 then once you have that, multiply your answer by 14

Answer:

B

Step-by-step explanation:

To create a 3D figure, Scarlett can use two equilateral triangles and three rectangles, which leads to an equilateral triangle prism.

This is a solid or 3D figure that has two faces made up of polygons.

Learn more about geometrical figures in: https://brainly.com/question/2778048

#SPJ1

Answer: The answer is Equilateral triangle prism with two equilateral triangles and three rectangles

Step-by-step explanation:
I took the test
Oh and I am good like that.

Answer:

9 Cards

Step-by-step explanation:

9 Cards a day equals 27 cards in 3 days

Answer:

9 CARDS

Step-by-step explanation:

(9) ~\(-_-)/~

The total number of the bags sold by the shopkeeper will be 65532.

The sequence formed by using the numbers is termed as the number series.So in this question from day one to day seven each day the sold items are multiplied by 4.

So the mathematical expression will be given as:

[tex]=(12\times 4^0)+(12\times 4^1)+(12\times 4^2)+(12\times 4^3)+(12\times 4^4)+(12\times 4^5)+(12\times 4^6)[/tex]

[tex]=12+48+192+768+3072+12288+49152\\\\=65532[/tex]

Hence the total number of the bags sold by the shopkeeper will be 65532.

To know more about number series follow

https://brainly.com/question/6561461

#SPJ1

The amount of money which is invested at 6.8% compounded monthly, in order to have $10,000 after 10 year is $5076.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

The rate of interest is 6.8% on the amount which is compounded monthly

The value of final amount is $10,000 after the time period of 10 years. There are total 12 months a year. Thus, the value of principal amount using the above formula is,

[tex]10000=P\times\left(1+\dfrac{6.8}{12\times100}\right)^{12\times10}\\10000=P\times1.97\\P=\dfrac{10000}{1.97}\\P=5076.14\\P\approx5076[/tex]

Thus, the amount of money which is invested at 6.8% compounded monthly, in order to have $10,000 after 10 year is $5076.

Learn more about the compound interest here;

https://brainly.com/question/24274034

#SPJ1

The two-way frequency table that represents this situation is :

             Salad  Soup Total

Chicken   25       18       43

Fish           21        14       35

Total         46        32     78

A two way table is used to show the frequency for two categorical variables.

To learn more about two way frequency tables, please check: https://brainly.com/question/27344444

#SPJ1

Answer: Option A  Salad Soup Total

Chicken 25 18 43

Fish 21 14 35

Total 46 32 78

Step-by-step explanation:

Answer:

16 times of percent of 6 is between 22

Answer:

C

Step-by-step explanation:

Stole the answer off a website (cant name it here)

The probability that Kate chooses a two-digit number or a prime number randomly from the month of August is 7/31.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

Kate is randomly choosing a date in the month of August. This date must be a two-digit number or a prime number.

The two digit prime numbers are 7(11,13,17,19,23,29,31). Thus, the probability is,

[tex]P=\dfrac{7}{31}[/tex]

Hence, the probability that Kate chooses a two-digit number or a prime number randomly from the month of August is 7/31.

Learn more about the probability here;

https://brainly.com/question/24756209

#SPJ1

Answer:

1/9

Step-by-step explanation:

lol

Answer:

1/9

Step-by-step explanation:

Your welcome

Answer:

A

Step-by-step explanation:

It is A because the negative in front of the 4 shows the curve was REFLECTED over the x-axis. The +1/2 in the parenthesis with the x shows the curve was translated (shifted or slid) to the LEFT 1/2 unit and the +3 at the end of the equation shows the whole thing was translated/shifted/slid UP 3 units. These transformations all together make the equation in A match the curve given.

Answer:

7√3

Step-by-step explanation:

Pythagorean Theorem

a² + b² = c²

7² + b² = 14²

b² = 14² - 7²

b² = 196 - 49

b = √147

7√3

Answer:

[tex]AC = 12.12[/tex]

Step-by-step explanation:

Step 1:  Determine side AC

[tex]Pythagorean\ theorem[/tex] → [tex]a^2 + b^2 = c^2[/tex]

[tex](AC)^2 + (CB)^2 = (AB)^2[/tex]

[tex](AC)^2 + (7)^2 = (14)^2[/tex]

[tex](AC)^2 + 49 = 196[/tex]

Step 2:  Subtract 49 from both sides

[tex](AC)^2 + 49 - 49 = 196- 49[/tex]

[tex](AC)^2 = 147[/tex]

Step 3:  Square root both sides

[tex]\sqrt{(AC)^2} = \sqrt{147}[/tex]

[tex]AC = 12.12[/tex]

Answer:  [tex]AC = 12.12[/tex]

Answer:

g(x) = (x + 2)^2 + 1

Step-by-step explanation:

From the graph/image that you have provided said translated shift of

f(x) -> g(x)

f(x) = x^2 , g(x) = a(x -h)^2 +k

h is shift right/left

k is shift up/down.

It appears that the shift is left 2 and up 1.

h = -2 and k = 1

g(x) = (x - (-2))^2 +1

g(x) = (x + 2)^2 + 1

Let's say the side length of square A is x, which means the side length of square B is 2x.

Then, the area of square A can be written as , and the area of square B can be written as .

There's no diagram here with shaded region, so I'll just find the area of square A as a percentage of the area of square B:

= 1/4 = 25%

So, the answer is 25% (note this is the answer to the question: "express the area of square A as a percentage of the area of square B; there is no diagram showing me where the shaded area is, so I cannot answer the original question

Unit price = total price / size

unit price for 25 ounce can :

$4.80 / 25 ounces = $0.192 per ounce

Answer:

45°

Step-by-step explanation:

sum of exterior angles = 360

n+n+n+n+90+90=360

4n+180=360

4n=180n=45

Answer:

8/4 Square Inches

Step-by-step explanation:

I think so

The equation of the line of best fit in the table given regarding the weights will be y = 0.77x - 1.1

From the information given, the equation of the line of best fit in the table given regarding the weights is given and the correlation coefficient is 0.99.

The relationship is strongly positive as it's close to 1. The slope of the best fit gives the change in dosage for for an increase in the weight of the patient.

When a patient who weighs 140 pounds is prescribed 135 milligrams of medicine, it affects the line of best fit as it increases the intercept but decreases the slope.

Learn more about equations on:

https://brainly.com/question/2972832

#SPJ1

The equation tan(x) = 1/2 is an illustration of a trigonometry ratio

The value of sin(x) is sin(x) = ±1/√5

The tangent ratio is given as:

tan(x) = 1/2

The tangent ratio is calculated using:

tan(x) = opposite/adjacent

So, we have:

Opposite = 1 and adjacent = 2

Calculate the hypotenuse using:

Hypotenuse² = Opposite² + adjacent²

The equation becomes

Hypotenuse² = 1² + 2²

Hypotenuse² = 5

Take the square root of both sides

Hypotenuse = ±√5

The sine ratio is:

sin(x) = Opposite/Hypotenuse

So, we have:

sin(x) = ±1/√5

Read more about trigonometry ratios at:

https://brainly.com/question/13276558

Answer:

D-step explanation:

None just guessed