Given that x = 9.2 m and θ = 15°, work out AC rounded to 3 SF​

Given Thatx= 9.2 M And= 15, Work Out AC Rounded To 3 SF

Answers

Answer 1

Answer:

AC ≈ 9.52 m

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos15° = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{9.2}{AC}[/tex] ( multiply both sides by AC )

AC × cos15° = 9.2 ( divide both sides by cos15° )

AC = [tex]\frac{9.2}{cos15}[/tex] ≈ 9.52 m ( to 3 sf )


Related Questions

Write an equation that you can use to find the value of x. Perimeter of triangle: 16 in ANSWER 3x

Answers

Answer:

16 x 3? I'm not sure I understand sorry.

16 x 3 shall be it. Hopes this helps

what operation do you use to convert from a larger measurement unit to a smaller measurement unit? Explain why

Answers

Answer:

Use multiplication and dividing.

Step-by-step explanation:

If you want to convert to a smaller unit, you must multiply.

For example...

4 Feet to Inches:

[tex]4 * 12 =48[/tex] inches

2 Yards to Inches:

[tex]2 * 3 = 6[/tex] feet

[tex]6 * 12 = 72[/tex] inches

If you want to convert to a larger unit, you must divide.

336 Inches to Feet:

[tex]336/12=28[/tex] feet

756 Inches to Yards:

[tex]756/12=63[/tex] feet

[tex]63/3=21[/tex] yards

Give The measures of the angle that is complementary to the given angle

Answers

36

Step-by-step explanation:

We know that

Sum of two complementary angles is 90°Let the other angle be xSo[tex] \rm \dashrightarrow \: x + 54 = 90 \\ \rm \dashrightarrow \: x = 90 - 54 \\ \rm \dashrightarrow \: x = 36[/tex]

what is 3.5 x 10 to the 4th power in standard notation? (decimal)

Answers

Answer:

35000 would be your answer

Step-by-step explanation:

The answer is just 35 dude at the top correct

To frame two problems of linear equation in one variable of your choice and solve such that the result of the first problem should be 79 and the next problem is 25.

Answers

Answer:

[tex]x + y = 79[/tex] and

[tex]x - y = 25[/tex]

[tex](x,y) = (52,27)[/tex]

Step-by-step explanation:

Let the variables be: x and y

The equations can be modelled as:

[tex]x + y = 79[/tex] and

[tex]x - y = 25[/tex]

To solve for x and y, we have:

Make x the subject in [tex]x - y = 25[/tex]

[tex]x = 25 + y[/tex]

Substitute [tex]x = 25 + y[/tex] in [tex]x + y = 79[/tex]

[tex]25 + y + y = 79[/tex]

[tex]25 + 2y = 79[/tex]

Collect like terms

[tex]2y = 79 - 25[/tex]

[tex]2y = 54[/tex]

Divide both sides by 2

[tex]y = 27[/tex]

Substitute [tex]y = 27[/tex] in [tex]x = 25 + y[/tex]

[tex]x = 25 + 27[/tex]

[tex]x = 52[/tex]

So, we have:

[tex](x,y) = (52,27)[/tex]

A certain television is advertised as a 54-inch TV (the diagonal length). If the width of the TV is 40 inches, how tall is the TV? Round to the nearest tenth of an inch.

Answers

Answer:

36.3

Step-by-step explanation:

I tried using the Pythagorean Theorem to measure the length (tallness) of the TV.

[tex]a^2 + b^2 = c^2[/tex]

[tex]a^2 + (40)^2 = (54)^2[/tex]

[tex]a^2 + 1600 = 2916[/tex]

[tex]a^2 = 2916-1600 = 1316[/tex]

[tex]a = \sqrt{1316}[/tex]

[tex]a = 36.27671429[/tex]

When this is rounded up to the nearest tenth, it would go up to 36.3.

So, the length (tallness) of the TV would be 36.3 inches.

I need the explanation the most.
Answer and I you will get 8 years of good luck

Answers

Answer:

i think 8

Step-by-step explanation:

What value from the set {4, 5, 6, 7, 8} makes the equation 4x + 3 = 23 true? Show your work

Answers

Answer:

Um?

Step-by-step explanation:

Help me with this please

Answers

Answer:

1. 5

2. 8

Step-by-step explanation:

number one is 5 and number 2 is 8

Why can't 6cm 5cm 8cm make a triangle

Answers

Because all of the sides should be the same length.

Answer:

They can, the lines just need to be sloped

I need help plsssssssssss

Answers

Answer:

Diagram B

Step-by-step explanation:

Most of the points don't line up with the line itself.

what's the answer ?

[tex] \sqrt{450 \div 2} [/tex]

Answers

Answer:

15.

Step-by-step explanation:

450 / 2 = 225.

225= 3 * 3 * 5 * 5

So √225 = 3 * 5 = 15.

[tex]\huge{ \mathbf{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Let's solve :

[tex] \sqrt{ \dfrac{450}{2} } [/tex]

[tex] \sqrt{225} [/tex]

[tex]15[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

What is the fractional form of 0.02?

А. 2/99
B. 1/11
C. 2/100
D.1/12

Answers

The answer is c because the 2 is in the 100ths place

If you had a triangle with side lengths of 4 and a scale factor of 3, what would be the new side lengths of the triangle?

Answers

Answer:

1.3

Step-by-step explanation:

new side lengths = original length / scale factor

4/3 = 1.3

2. It takes 1 3/8 minutes to wrap a parcel and 1/2 minute to address it. How many minutes does it take to:

(a) wrap and address one parcel? Give your answer as a fraction

(b) wrap and address a dozen similar parcels?

Answers

Answer:

45/2

Step-by-step explanation:

U first have to change the mixed number to improper fraction and find the least common multiple

A swimming pool that is 10 feet, 20 feet long, and 4 1/2 feet deep. how much water can this swimming pool hold (to the top of the pool)?

Answers

Answer:

900 cubic feet

Step-by-step explanation:

Volume = length x width x height

= 10 x 20 x 4.5

= 900


please help me i don’t understand

Answers

Answer:

Below

Step-by-step explanation:

All you need to do to find angle x is to subtract 48 from 90 :)

So, 90 - 48 = 42

Angle x = 42 degrees

Hope this helps!

Answer:

anglePQR+anglePQS=90

or,48 degree+x=90

or,x=90-48

or,x=42

therefore the value of x is 42 degree

Step-by-step explanation:

The price of 2 ratios are in x:y when the prices both increase by £20, the ratio becomes 5:2 when the prices both reduce by £5 the ratio becomes 5:1 express the x:y ratio in the lowest form

Answers

Answer:

x:y = 4:1

Step-by-step explanation:

Since their ratios are x:y, when they both increase by £20, their ratio is 5:2.

So, x + 20/(y + 20) = 5/2   (1)

When they both decrease by £5, their ratio is 5:1.

So, x - 5/(y - 5) = 5/1    (2)

Simplifying (1) and (2), we have

x + 20/(y + 20) = 5/2  (1)

cross-multiplying, we have

2(x + 20) = 5(y + 20)

expanding the brackets, we have

2x + 40 = 5y + 100

2x - 5y = 100 - 40

2x - 5y = 60     (3)

So,

x -5/(y - 5) = 5/1  (2)

cross-multiplying, we have

(x - 5) = 5(y - 5)

expanding the brackets, we have

x - 5 = 5y - 25

x =  5y - 25 + 5

x = 5y - 20   (4)

Substituting (4 into (3), we have

2x - 5y = 60     (3)

2(5y - 20) - 5y = 60

10y - 40 - 5y = 60

10y - 5y = 60 + 40

5y = 100

y = 100/5 = 20

substituting y = 20 into (4), we have

x = 5y - 20   (4)

x = 5(20) - 20  

x = 100 - 20

x = 80

So, x/y = 80/20 = 4

x/y = 4/1

x:y = 4:1


-30 = -5
Pls help
...

Answers

Answer:

-25

Step-by-step explanation:

-30+5 = -25


You observe the heights of two plants for an experiment. Plant A has a height of 8 centimeters and grows 1 centimeter each week. Plant B has
a height of 4 centimeters and grows 2 centimeters each week. Let x represent the number of weeks and let y represent the height of the
plant
a. Write a system of linear equations that represents this situation
System of equations:
b. Will the plants ever have the same height?

Answers

Using linear functions, it is found that:

a)

[tex]y_A(x) = 8 + x[/tex]

[tex]y_B(x) = 4 + 2x[/tex]

b) They will have the same height after 4 weeks.

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.

Item a:

Plant A has a height of 8 centimeters and grows 1 centimeter each week, hence:

[tex]y_A(x) = 8 + x[/tex]

Plant B has  a height of 4 centimeters and grows 2 centimeters each week, hence:

[tex]y_B(x) = 4 + 2x[/tex]

The system is:

[tex]y_A(x) = 8 + x[/tex]

[tex]y_B(x) = 4 + 2x[/tex]

Item b:

Equaling the equations:

[tex]y_A(x) = y_B(x)[/tex]

[tex]8 + x = 4 + 2x[/tex]

[tex]x = 4[/tex]

They will have the same height after 4 weeks.

To learn more about linear functions, you can take a look at https://brainly.com/question/16302622

5. A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands
on the ground. The graph below shows the height, y, of the ball from the ground after x
seconds

For which interval is the ball's height always decreasing?
A. 0 B. 0 C. 2.5 D.) 2

Answers

There is no graph picture here sorry

39. If one student can complete the decorations for the prom in 5 days
working alone, another student could do it in 3 days, and a third could
do it in 4 days, how long would it take them working together?

Answers

Answer:

1.3 days

Step-by-step explanation:

1/5+1/4+1/3

12/60+20/60+15/60= 47/60

60/47

=1.3

50 POINTS PLZ HELP NO LINKS This renewable energy project promises to provide numerous benefits to our state. These include an increase in jobs and a secure and sustainable source of energy. This project will make dollars and make sense for all of us. What effect is the underlined phrase meant to have on the argument?

1 It intends to show how important jobs in renewable energy will become.

2 It emphasizes humor to help make the subject more interesting to readers.

3 The pun on sense helps call attention to the economic soundness of the project.​

Answers

Answer: 3 The pun on sense helps call attention to the economic soundness of the project.​

Step-by-step explanation:

The underlined phrase is the last statement and it is a pun that is meant to show that the plan is a good one because it will both increase jobs and is good for the environment which means that it is sound from both an economic and an environmental perspective.

In using the pun, the entire argument for the project was summarized to show the basic benefits of the plan and show how it would benefit the people.

Can 1-9 be solved please ANSWER FAST!!!

Answers

Answer:

1) solution

2x+3*5x=34

2x+15x=34

17x=34

x=34/17

x=2

2) solution

2*4y+3y=44

8y+3y =44

11y=44

y=44/11

y=4

3) solution

4y+5=3y-2

4y-3y=-2-5

y= -7

4) solution

2x+3=4x-1

3+1=4x-2x

4=2x

x=4/2

x=2

5) solution

4(y-1)=3y+3

4y-1=3y+3

4y-3y=3+1

y=4

6) solution

2(1/2y +3)-y=6

2/2y+3-y=6

y+3-y=6

2y=6

y=6/2

y=3

7) solution

8x+2(-4x+11)=13

8x-8x+11=13

11=13

8) solution

2x-3x-9=-4

-x=-4+9

-x=5

x= -5

9) solution

3(3y+1)-5y=11

9y+3-5y=11

4y=11-3

y=8/4

y=2

please marks brainliest I had to spend lot of time typing this.

A rope is stretched from the top of a
7-foot tent pole to a point on the ground
12 ft from the base of the pole. How long
is the rope ?

Answers

Answer:

Step-by-step explanation:

we know two sides of a triangle, one side is 7 feet, the other is 12 feet , so use Pythagoras theorem

[tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]

[tex]C^{2}[/tex] = [tex]7^{2}[/tex] + [tex]12^{2}[/tex]

[tex]C^{2}[/tex] = 49 + 144

[tex]C^{2}[/tex] = 193

C = [tex]\sqrt{193}[/tex]

C = 13.89 feet

Answer:

The square of the hypotenuse equals the square of the sum of the other two sides.

13.89ft

Step-by-step explanation:

Definition Of Pythagoras Theorem :

The Pythagorean theorem states that the total of the squares on a right triangle's legs equals the square on the hypotenuse (the side opposite the right angle)—or, in popular algebraic form, a2 + b2 = c2.

Given:

Height of the Tent Pole = 7ft.

Base of the Pole of the Tent = 12ft.

Now we will use Pythagoras theorem to find how long the rope is.

Use of Pythagoras theorem

[tex]\begin{aligned}&C^{2}=A^{2}+B^{2} \\&C^{2}=7^{2}+12^{2} \\&C^{2}=49+144 \\&C^{2}=193 \\&C=\sqrt{193} \\&C=13.89 \text { feet }\end{aligned}[/tex]

Hence, the length of the rope is 13.89ft.

To know more about Pythagoras theorem here

https://brainly.com/question/343682  #SPJ2

HELP I WILL GIVE BRAINIEST

Answers

Answer:

13.7

Step-by-step explanation:

It forms a triangle.

They are trying to find the height, cause they say the east-bound car went east so that makes the bottom of the triangle, the width. They also give is the distance in between both cars so that's the hypotenuse so let's set up the equation...

15² - 6² = 189

now we square root it

√189 = 13.7

 

What is the distance between-2 and 2 on the number line shown below -

Answers

Answer:

3

Step-by-step explanation:

on less you have a picter i cant help that much

Answer: The distance is 4

Step-by-step explanation:

-(-4)-(-3)-(-2)-(-1)-0-(1)-(2)-(3)-(4)-

               ^  1   2  3  4 ^

                    ~   ~  ~  ~

72 mi
21 mi
What is the length of the hypotenuse?

Answers

Answer:

75 mi

Step-by-step explanation:

c squared = a squared + b squared

c squared = 72 squared + 21 squared

c squared = 5184+441

c squared = 5625

c = root 5625

c = 75 mi

Drop your favorite American Horror Story character for 5 easy points​

Answers

Answer:

the clown plz mark brainliest

Answer:

TATE AND BROOKE THOMPSON or any of emma roberts characters

0.0042 × 0.03
2222222÷45553926549

Answers

Answer:

0

Step-by-step explanation:

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