Instructions: Find the missing side. Round your answer to the nearest tenth.
24°
х
27

Instructions: Find The Missing Side. Round Your Answer To The Nearest Tenth.2427

Answers

Answer 1

Answer:

x = 60.6 units

Step-by-step explanation:

Hi there!

In this right triangle, we're given the measure of an angle, the side opposite that angle and another side adjacent to that angle (that is not the hypotenuse). In this circumstance, we can use the tangent ratio to help us solve for the missing side:

[tex]tan\theta=\frac{opp}{adj}[/tex]

Plug in the given information:

opp = 27, adj = x, θ = 24

[tex]tan(24)=\frac{27}{x}\\x=\frac{27}{tan(24)} \\x=60.6[/tex]

Therefore, the length of the missing side is 60.6 units when rounded to the nearest tenth.

I hope this helps!


Related Questions

What word best describes PR?

Answers

Answer:

PR is the diameter of the circle

Answer:

Diameter

Step-by-step explanation:

Diameter: connecting 2 points on a circle passing through the center.

OAmalOHopeO

58×62 without actual multiplication​

Answers

Answer:

3596

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:

3596

Step-by-step explanation:

(58*10) = 580

580*6 = 3480

58 * 2 = 116

3480 + 116 = 3596

What is the slope of the line in the graph?

Answers

Vas happenin
Hope your day is good
(0,1) (-4,4)
4-1/ -4 -1
3/ -5
-1.6 is the slope
Fraction form is 3/-5
Hope this helps *smiles*

A number n times 33​, decreased by 135​, is 360. A number m times ​18, added to 90 is 360. Write and solve an equation for each variable. Then compare the values of n and m.

Answers

Answer:

N = 6.8181. and m= 15

Step-by-step explanation:

33n-135=360

33n = 360-135

33n =225

n = 6.8281.

18m+90=360

18m=360-90

18m =270

m= 15

Pepe and Leo deposit money into their savings accounts at the end of each
month. The table shows the account balances.
If their patterns of saving continue, and neither earns interest nor withdraws
any of the money, how will the balances compare after a very long time?

Answers

Pepe's balance will be greater as it is increasing exponentially while Leo's is increasing linearly

(see graph, where red is Pepe and blue is Leo)

Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]

where a is a constant and a>1

We have:

Pepe and Leo deposit money into their savings accounts at the end of each month.

From the table, we can plot a graph on a coordinate plane.

As we can see in the graph:

Because Pepe's balance is growing exponentially and Leo's is growing linearly, it will be bigger.

Thus, Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ5

Can someone help me with this plz plz pls

Answers

56/11=5.09090909090.......

50/9=5.5555........

7/9=0.777777.......

1. A department store kept records of how many fans were sold each day and the high temperature for that day. The results are shown in the scatterplot. Answer the questions about the scatterplot.

a. What is the explanatory variable (independent variable)? (1 point)



b. What is the response variable (dependent variable)? (1 point)



c. Circle the best range for the correlation coefficient. (1 point)
(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)

d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)

Answers

Answer:

a. What is the explanatory variable (independent variable)? (1 point)

Number of fans sold.

b. What is the response variable (dependent variable)? (1 point)

Outside temperature.

c. Circle the best range for the correlation coefficient. (1 point)

(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)

d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)

Yes because a rise in temperature causes fan sales to go up because people buy fans when it’s hot to cool off.

Step-by-step explanation:

I got it right on AP3X. Hope this helps!

13 + {16 + 2 -[25 + 45) x 3] + 9}

Answers

Answer: -170

Concept:

When encountering questions that require multiple steps of the calculation, it is suggested to follow the PEMDAS.

ParenthesisExponentsMultiplicationDivisionAdditionSubtraction

Solve:

**Disclaimer** I assume that it is supposed to be (25 + 45). If it was, then you may refer to my answer. If the ")" after 45 is just a typo, you may point it out and I will redo it.

Given expression

 13 + {16 + 2 - [(25 + 45) × 3] + 9}

Do the parenthesis of the inner most

=13 + {16 + 2 - [70 × 3] + 9}

=13 + {16 + 2 - 210 + 9}

Do addition first, then subtraction

=13 + {18 - 210 + 9}

=13 + {27 - 210}

=13 - 183

=-170

Hope this helps!! :)

Please let me know if you have any questions

The measurements of a triangle are given. Is there exactly one triangle that can be formed using the given measurements? If so, identify the appropriate triangle congruence postulate.
∆ABC : m ∠A = 90°, AB = 15, AC = 15
A)No, More than one triangle could be made with these measures
B)Yes, SSS congruency
C)Yes, ASA congruency
D)Yes, SAS congruency

Answers

no, more than one triangle could be made with these measures

sss

What is the solution to this equation?
-13x = 78
O A. x=-5
B. X= 5
O C. x = 6
O D. x= -6
Help?

Answers

Answer:

-6

Step-by-step explanation:

you have to divide both sides by -13

-13x/-13=78/-13

x=-6

remember that the sign also matters.

I hope this helps

What’s 304.9% as a decimal

Answers

Answer:

3.049

Step-by-step explanation:

Can somebody help me with this question

Answers

Answer:

900°

Step-by-step explanation:

The interior angles sum = 180° ( n - 2 )

~~~~~~~~

n = 7

180° ( 7 - 2 ) = 900°

Answer:

900 degrees

Step-by-step explanation:

just apply the formulas discussed in class !

The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.

The number of triangles in each polygon is two less than the number of sides.

The formula for calculating the sum of interior angles is:

(n−2)×180∘ (where n is the number of sides)

in our case we have 7 sides.

so, we could split this polygon into 5 triangles.

each of these triangles would have an angle sum of 180°.

so, the angle sum of the polygon is

5×180 = 900°

divide 180 in three parts 1/10: 1/15: 1/20​

Answers

Answer:

83,55,41

Step-by-step explanation:

1/10 : 1/15 : 1/20

180/10 : 180/15 : 180/20

18 : 12 : 9

=> 6 : 4 : 3

Sum of the ratios = 6 + 4 + 3 = 13

1st ratio: (6/13) * 180 = 83       (approximately)

2nd ratio: (4/13) * 180 = 55     (approximately)

3rd ratio: (3/13) * 180 = 41       (approximately)

∴ Three parts of 180 in the ratio 6 : 4 : 3 is 83, 55 and 41

A carton of 24 bottles of sports drink costs $16. How many bottles of sports drink can you get
with $12

Answers

Answer:

8

Step-by-step explanation:

24 bottles = 16 dollars!

? bottles = 12 dollars

Note:

In these type of Questions, find out  any dollars you could get with 1 bottle

or in simple terms, (first find the unit Rate)

24/16 = 1.5

1 bottle = 1.5 dollars

? bottles = 12 Dollars?

12/1.5

= 8

I hope that helps! Have a wonderful day!

489
X
96°
x =
degrees

Answers

Answer:

x=144°

Step-by-step explanation:

To work out x, you have to find the other angle in the triangle.

Angles in triangles always add up to 180°, so you would have to add up the 2 angles you have and take it away from 180°.

48+96=144°

180-144=36°

Then, to find x, you have to do 180-36 because angles on a straight line always add up to 180°.

180-36=144°

x=144°

Hope this helps :)

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

So,

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 96 \degree \: + \: 48 \degree }}} \\ [/tex]

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 144 \degree }}} \\ [/tex]

find the radius of a circle if the circumference is 44cm. (take π=22/7)​

Answers

Answer:

The radius of the circle if the circumference is 44 cm will be 7 cm.

Step-by-step explanation:

➝ Circumference of the circle = 44 cm

➔ Circumference = 2πr [For finding radius]

Finding the radius:-

➜ Let radius be r.

➜ 44 = 2 × 22/7 × r

➜ Multiply 2 × 22/7

➜ 44 = 44/7 × r

➜ Taking 7 to LHS.

➜ 44 × 7 = 44 × r

➜ 308 = 44 × r

➜ Taking 44 to LHS.

➜ 308/44 = r

➜ 308/44 = 7

➜ 7 = r

➜ r = 7

Answer the question to get points

Answers

Answer:

4. E=4x-15(vertically opposite)

F=E(corresponding angles)

E=4x-15

5.3x+6x+O=180(angles on a straight line)

9x+0=180

9x=180-0

9x/9=180/9

x=20


Complete to get an equal ratio
3x/y = ? /2y

Answers

Answer:

6x

Step-by-step explanation:

3x/y=x/2y

Since 2y is 2X greater than y, 6x is 2X greater than 3x.

So,

The answer is 6x.


PLEASE ANSWER, DUE IN 10 MINUTES!!!!

Answers

Answer:

hello,

Step-by-step explanation:

height=23*tan(30°)=0.56*23=12.88 (ft)


Can someone help me on these ones. PLEASE HELP ME !!

Answers

[tex]\huge\blue{ANSWER}:—[/tex]

Plz mark me as brainliest as I have solve all the questions for you

Answer:1 : x is 95/3

4 x is -32/10

7 b is 6

10 x is 20/7

13 x is 9/2

Step-by-step explanation:

ncert maths class 10 solution 5.1 4

Answers

Can you attach a picture to your question?

I would love to help you out.

Answer:

Step-by-step explanation:

NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1

           where is question ??

help me I’m bad with this stuff

Answers

Answer:

(4x10^1)(2x10^4)

=40^1 × 20^4

=800^5

Answer:

8 x 10^5

Step-by-step explanation:

We can start by grouping the powers of ten together and the other numbers together, as you can move numbers around when multiplying:

4 x 2 x 10^1 x 10^4

4 multiplied by 2 is 8, so we can put that in:

8 x 10^1 x 10^4

Next, using the product rule, 10^1 x 10^4 would be ten to the power of the sum of the two exponents, or 10^(4 + 1), which is 10^5.

We will be left with

8 x 10^5

This is in scientific notation, so no further modification is needed.

FOR BRAINLIEST!!!!ASAP

19) One number is 9 more than another. Their product is 11 more than five times their sum.
Find the numbers.

Answers

Answer:

-7 and 2 or 8 and 17

Step-by-step explanation:

If we let the numbers be [tex]x[/tex] and [tex]x+9[/tex], the equation to solve this problem will be as follows:

[tex]x(x+9)=5(x+x+9)+11[/tex]

Solving the equation for [tex]x[/tex], we get:

[tex]x(x+9)=5(x+x+9)+11[/tex]

[tex]x(x+9)=5(2x+9)+11[/tex] (Combine like terms)

[tex]x^{2} +9x=10x+45+11[/tex] (Use the Distributive Property of Multiplication to multiply expressions)

[tex]x^{2} +9x=10x+56[/tex] (Combine like terms)

[tex]x^{2} -x-56=0[/tex] (Subtract [tex]10x[/tex] and [tex]56[/tex] from both sides of the equation)

[tex]x^{2} -8x+7x-56[/tex] (Split [tex]-x[/tex])

[tex]x(x-8)+7(x-8)=0[/tex] (Factor by taking a common term out)

[tex](x-8)(x+7)=0[/tex] (Factor by taking a common term out)

[tex]x-8=0[/tex] or [tex]x+7=0[/tex] (Use the Zero Product Property)

[tex]x=8[/tex] or [tex]x=-7[/tex]

Therefore, the first number could be either -7 or 8, and the second number could be -7 + 9 = 2 or 8 + 9 = 17, respectively. Hope this helps!

A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data:


Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31


Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)

Part B: Write a function that best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)

Answers

Answer:

Hello,

Step-by-step explanation:

Part A:

Yes

Since

y=f(x)

f(0)=4

f(1)=7 : f(1)=f(0)+1*3

f(2)=10= 7+3 : f(2)=f(1)+3 =f(0)+2*3

f(3)=13=10+3: f(3)=f(2)+3=f(0)+3*3

...

f(9)=31=28+3=f(8)+3=f(0)+9*3

f(n)=f(0)+n*3=4+n*3

Part B: y=3x+4

Part C: slope=3 , y-intercept=4

The slope indicate the grow of the plant (how many cm does it grow in function of the height it receives)

y-intercept indicate the original height of the plant.

PLEASE HELP ME PLEASE PLEASE
Torren deposits $4500 in an account earning 2% interest, compounded
annually. The equation that represents this situation is:
A(n) = 4500(1 + 0.02)" - 1
How much will he have in the account at the beginning of year 9? Round your
answer to the nearest dollar.

Answers

An amount of $ 5272 he will have in the account at the beginning of year 9. Option D is corect.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The expression is;

[tex]\rm A(n) = 4500(1+0.02)^{n-1}[/tex]

At the beginning of 9-year value of n is 9,substitute the value to get he amount;

[tex]\rm A(n) = 4500(1+0.02)^{n-1} \\\\ \rm A(n) = 4500(1+0.02)^{9-1} \\\\ A(n) = \$ 5272[/tex]

Hence, option D is corect.

To learn more, about equations, refer;

https://brainly.com/question/10413253

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if wu feed cat 1 time and got $5 so how much wu will earn over the winter if he feed the cat 13 times

Answers

I think the answer is $65

Answer:

65

Step-by-step explanation:

1=5

13=x

1x=5x13

1x=65

divide both sides by 1

x=65

help someone!! which one is it?

Answers

Answer:

not great with math but I'm sure it's the second circle

The third one, I’m pretty sure!

Find the length of the third side. If necessary, round to the nearest tenth. 16 12 ​

Answers

Answer:

20

Step-by-step explanation:

Use the Pythagorean theorem. a^2+b^2=c^2

12^2+16^2=c^2

144+256=c^2

400=c^2

20=c

Could someone help me solve this

Answers

13p² -7p² = 6p²
And that’s the most you can simplify
Final answer: 6p²-15p
Hope this helps!
If possible do you think you could give brainliest if not it’s all good. Thank you!

The mean score of 7 boys and 16 girls is 49. If the scores of the boys are 42,85,47,29,58,54and 72, find the mean score of the girls

Answers

Answer:

[tex]\bar x_{girls} = 46.25[/tex]

Step-by-step explanation:

Given

[tex]Boys = 7\\Girls = 16[/tex]

[tex]\bar x = 49[/tex]

Required

Mean of girls

The mean of the boys and girls is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

This gives:

[tex]\bar x = \frac{\sum(boys) + \sum(girls)}{boys + girls}[/tex]

So, we have:

[tex]49= \frac{42+85+47+29+58+54+ 72 + \sum(girls)}{7 + 16}[/tex]

[tex]49= \frac{387 + \sum(girls)}{23}[/tex]

Cross multiply

[tex]23 * 49=387 + \sum(girls)[/tex]

[tex]1127=387 + \sum(girls)[/tex]

Subtract by 387

[tex]1127-387 = \sum(girls)[/tex]

[tex]740= \sum(girls)[/tex]

[tex]\sum(girls) = 740[/tex]

The mean of girls is:

[tex]\bar x_{girls} = \frac{\sum(girls)}{girls}[/tex]

[tex]\bar x_{girls} = \frac{740}{16}[/tex]

[tex]\bar x_{girls} = 46.25[/tex]

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Troy and Devon discuss adding an automobile detailing service at their convenience store based on their customers' point of view. Which of the following is a statement that a customer might consider regarding "promotion" in the marketing mix model?a. Customers want a high-quality automobile detail service to have their cars cleaned.b. Customers prefer to pay a fair amount of money to receive excellent service.c. Customers want to know the benefits of using Troy's automobile detail service.d. Customers prefer to use services that are near their work and home. which water based animals have a mechanism to prevent water from diffusing into their bodies Help me please! Parabola question The ages of several trees in a park are shown below:2 years, 28 years, 2 years, 20 years, 22 yearsWhat is the mean age of these trees?56 years12 years14.8 years26 years Kevin used a pulley to lift a piano to the third floor of his apartment. His input work was 12,000 J and the output work was 10,000 J. What was the mechanical efficiency of the pulley? A . 50%B. 83.3%C . 120%D. 16.7% TeleGlobal is an American firm producing TV sets. TeleGlobal imports TV set components from India and assembles them domestically. Suppose that in the United States, a TV set sells for $400 and that 80% of the TV sets value comes from the value of the imported components. The United States imposes a 40% tariff on TV sets and a 10% tariff on the TV sets components. Assume that costs of producing components are the same in the United States and India and that transit costs are nonexistent. Based on the information provided, the effective rate of protection that TeleGlobal receives from the tariff is Please help. Somebody give an answer to this question please. I need a step by step explanation as well. question on image .... Calculate the volume (in L) that 3.25 mol of helium gas will occupy at a temperature of 25.0 C and a pressure of 799 mm Hg. Which statement is TRUEabout Mercury?A. It is the largest planet in our solarsystem.B. It is a gas giant.C. It is the closest planet to the Sun.D. It has three moons. The length of a rectangle is 4 meters and the width is 4 meters. What is the perimeter of the rectangle? Do not include units in your answer. How were you able to show the same theme while using different materials or mediums? Explain Como la reduccin de impuestos ayuda a la economa Suppose you invest $1800 at an annual interest rate of 3.3% compoundedcontinuously. How much will you have in the account after 1.5 years? Find the volume of the prism amendments that lowered the voting age to eighteen and gave women the right to vote were The area of rectangle is 105cm.If it length is 21 cm,what is its length and perimeter. what is the average speed for the interval t=1 hour to t=3 hours Taree fourts of the 64 books were math books. determine the percent of the books that were math books. In 2012 the minimum wage in Arizona was $7.65. If we assume the growth of this minimum wage is exponential and is growing at the rate of 2%, then the length of time until the minimum wage reaches d dollars is modeled by which formula:________