The diagram shows a right-angled triangle.
9 cm
to
15 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.

The Diagram Shows A Right-angled Triangle.9 Cmto15 CmFind The Size Of Angle X.Give Your Answer Correct

Answers

Answer 1

Answer:

x ≈ 31.0°

Step-by-step explanation:

From the right triangle given in the picture,

By applying tangent rule,

tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(x) = [tex]\frac{9}{15}[/tex]

x = [tex]\text{tan}^{-1}(\frac{9}{15} )[/tex]

x = [tex]\text{tan}^{-1}(0.6)[/tex]

x = 30.96

x ≈ 31.0°

Therefore, measure of angle x is 30.0°


Related Questions

Round 1 of a tennis tournament starts with 64 players. After each round, half of the players have lost and are eliminated from the tournament. Therefore, in round 2 there are 32 and in round 3 there are 16 players and so on. Can this relationship be modeled by a linear function? Provide evidence to support your claim.

Answers

Answer:

It can not be modeled by a linear function

Step-by-step explanation:

The given parameters can be represented as:

[tex](x_1,y_1) = (1,64)[/tex]

[tex](x_2,y_2) = (2,32)[/tex]

[tex](x_3,y_3) = (3,16)[/tex]

Where: x = rounds and y = players

Required:

Determine if it can be represented by a linear function

To do this, we simply calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

and

[tex]m = \frac{y_3 - y_2}{x_3 - x_2}[/tex]

Using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex], we have:

[tex]m = \frac{32 - 64}{2 - 1}[/tex]

[tex]m = \frac{-32}{ 1}[/tex]

[tex]m = -32[/tex]

Using [tex]m = \frac{y_3 - y_2}{x_3 - x_2}[/tex], we have:

[tex]m = \frac{16 - 32}{3 - 2}[/tex]

[tex]m = \frac{-16}{1}[/tex]

[tex]m = -16[/tex]

Since both slopes are not the same, the relationship be modeled by a linear function

please help! will give brainiliest!​

Answers

Answer:

y=-1, y=1, y=3, y=5, y=7, y=9, y=11

Step-by-step explanation:

Given Equation: y=2x+5

Substitute x with the given x-values:

y=2(-3)+5=-6+5=-1

y=2(-2)+5=-4+5=1

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

y=2(0)+5=0+5=5

y=2(1)+5=2+5=7

y=2(2)+5=4+5=9

y=2(3)+5=6+5=11

8) help pls I have the answer I just need to show the work

Which trigonometric function would you use to find “h”, the height of the tree?

Answer: C

Answers

Answer:

C

Step-by-step explanation:

Sine: Opposite / Hypotenuse

Cosine: Adjacent / Hypotenuse

Tangent: Opposite / Adjacent

75 = The adjacent of 40

H = The opposite of 40

Tan40 = 75 / h

H = 75Tan40

H ≈ 62.93

The trigonometric function which will be used to determine the height of the tree when the base is 75 ft. is tan(40)

What is trigonometric function?

The trigonometric function are the ratio of the sides of the right angled triangle. The functions are sine, cos, tan , cot, cosecant, secant.

How to find the height of the tree?

We can easily see that the base is 75 ft. and the height of the tree is h So the height of the tree can be found with the help of tangent function.

tan(40)=h/75

0.84=h/75

h=63 ft.

Hence the height of the tree is 63 ft.

Learn more about the trigonometric functions at  https://brainly.com/question/24349828

#SPJ2

[ASPS]WILL GIVE BRAINLIEST

Answers

Answer:

hi

Step-by-step explanation:

you should know that the sum of interior angles of a hexagon is 720 so

[tex]4x - 10 + 2x + 8 + x - 12 + 7x + 3x + 135 = 720 \\ 17x = 121 \\ x = \frac{121}{17} = 7.11764[/tex]

The ratio on a keyboard of number keys to letter keys is 5:13. If a manufacturer produced 156 letter keys , then how many number keys would need to be produced?

Answers

Answer:

60 number keys would need to be produced

Step-by-step explanation:

5 : 13

? : 156

156 / 13 = 12

5 x 12 = 60

The height, h, of a plant (in inches) w weeks since it was planted is represented by the equations h=3w+3. How many weeks will it takes the plant to reach one foot.

Answers

Answer: 3 weeks

Step-by-step explanation:

We have to note firstly that 12 inches = 1 foot.

The equation given to represent the height in the question, h = 3w + 3.

The number of weeks that it will take the plant to reach one foot will then be:

h = 3w + 3

12 = 3w + 3

3w = 12 - 3

3w = 9

w = 9/3

w = 3

It'll take 3 weeks

PLZZ HELPPPP QUIICKK :))

Answers

Answer:

A...................

For number 1 which is skew to BC?

Answers

The answer is B the person on top is corr

What is this supplementary angle?

Answers

Answer:

Step-by-step explanation:

Supplementary angles sum to 180 degrees.

x+118=180

x=62 degrees

Answer:

62°

Step-by-step explanation:

A supplementary angle is 180°.

180-118= 62

Help pls dont answer if you don’t know also I’ll give brainliest

Answers

Well, what are the like terms?

5x and 3x

-17 and 21

so combine them and what do you get?

I don't what to just give you the answer I want to also help you.

Layla, Eliana and Nature each carried 10 pound bag of soil into the backyard. After putting soil in the first flower bed, Layla's bag was ⅝ full, Eliana's bag was ⅖ full, and Nature's bag was ¾ full. How many pounds of soil did they put in the first flower bed altogether?

Answers

Answer: 17.75 pounds

Step-by-step explanation:

After putting soil in the first flower bed, Layla's bag was ⅝ full. The pound of soil will be: = 5/8 × 10 = 6.25 pounds

Eliana's bag was ⅖ full. The pound of soil will be: = 2/5 × 10 = 4 pounds

Nature's bag was ¾ full. The pound of soil will be: = 3/4 × 10 = 30/4 = 7.5 pounds

The number of pounds of soil that they put in the first flower bed altogether will be:

= 6.25 + 4 + 7.5

= 17.75 pounds

Can someone help me with this

Answers

Answer:

B

Step-by-step explanation:

i think its B because the your line is in the negatives and to be specific in -5

and the line that is going to the right that means it is going to the positive so its positive infinet

Hope it's correct

Answer:

hi

Step-by-step explanation:

i think its B

you should inverse the function from x=y line

i cant explain in enlish better than this

hope this helps

if have more questions just ask

Nicole is cooking cookies recipe calls for 5 cups of flour she has already put in three 1/3 cups how many more cups does she need to put in

Answers

Answer:

1 2/3 cups of flour

Step-by-step explanation:

Nicole is cooking cookies recipe calls for 5 cups of flour she has already put in three 1/3 cups how many more cups does she need to put in?

We solve the above question using Subtraction operation

The number of cups she still needs to put in =

5 cups - 3 1/3 cups

= 5 - 3 1/3

= 5/1 - 10/3

The Lowest Common Denominator = 3

= 15 - 10/3

= 5/3

= 1 2/3 cups of flour

Help me please , due soon

Answers

Answer:

Radius=12cm

Diameter=24cm

Step-by-step explanation:

The diameter is the full length of the circle through the middle (which is shown in the picture as 24cm).

The radius is half of the diameter.

Answer:

radius is 12 cm

diameter 24 cm

it would mean so much if u help me out on this one!
im failling all my clases and i do online school so everything is horrible
plzzz help

Answers

Answer:the answer should be B :) !

Step-by-step explanation:

You need to add all the yards ran per day to get 112 then multiply by 3 since a yard is equal to 3 feet, getting 336.

Math please help im failing this class its algebra

Answers

Answer:

y=5x+2

Step-by-step explanation:

-5x-4y=-8

-5x+y=2

y=2+5x

y=5x+2

6. John predicted that gas prices would raise 3.5% in the month of
January. If gas prices actually rose from $2.25 to $2.30, what was his
percent of error? Plzzz answer

Answers

Answer:

37.5%

Step-by-step explanation:

Given data

Initila Price= $2.25

3.5% of  $2.25

=3.5/100* 2.25

=0.035*2.25

=0.07875

Hence the expected new price is

=0.07875+2.25

=$2.33

The expected increase

=2.33-2.25

=$0.08

The actual increase

=2.25-2.30

=$0.05

Hence the error is

% error= Actual -Expected/Expected*100

% error= 0.05-0.08/0.08*100

% error= 0.03/0.08*100

% error=0.375*100

% error=37.5%

Hence the error is 37.5%

if a parallelogram is 1.9ft at its base and 1.5 at its height what's its area?

Answers

Answer:

2.85 ft²

Step-by-step explanation:

1.9 x 1.5

SOMEONE PLEASE HELP ME

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) Any set of functions that has a total degree of 4 and a total number of x-intercepts of 4 will do. Shown in the first attachment are 4 linear functions. A quadratic function with two x-intercepts could replace two of the linear functions, or a cubic with 3 x-intercepts could replace 3 of the linear functions.

__

b) Again, the total degree must be 3. Since there can only be one x-intercept, the quadratic factor must have none. A possible choice is shown in the second attachment.

Dylan hikes 90 miles in 3 days. At that rate, how many days does it take him to hike a total of 240 miles?

Answers

Answer:

8 days

Step-by-step explanation:

90/3 = 30 mi/day

240/30 = 8 days

Answer:

it will take him 8 days (7.98 in you don't round)

Step-by-step explanation:

90 -240= 150

150/90 = 1.6666....

1.66 * 3  = 4.98

4.98+3 =7.98  (8 if you round)

I need help with this can anyone please help

Answers

Answer:

56

Step-by-step explanation:

4*7*2 is 56

Hope that helps and please tell me if I am wrong

3. Which name does not apply to the angle pair?
A. vertical
C. supplementary
B. adjacent
D. right angles
12

Answers

C.supplementary is the right one

Answer:

D. right angle

Step-by-step explanation:

I think D is because

right angle is a an angle of exactly 90°

*adjacent angle is two angles with a common vertex, sharing a common side and no overlap

*supplementary angle is two angle, the sum of who's measure is 180

* vertical angle is two angle who's sides form two pairs of opposite rays (straight line)

Will mark brainliest

Answers

11) reflection
12) rotation
13) transition
14) yes 180 rotation

Hope it’s right
Best luck with your studying

The endpoints of a line segment are (–1, 6) and (8, 6). What is the length of the line segment?

A.
2 units

B.
7 units

C.
9 units

D.
12 units

Answers

C. 9 units. It takes 9 units to get from-1 to 8

Ms. Rivera runs a house cleaning business. To save money, she bought a 1-gallon container of concentrated cleaner. She mixed the cleaner with 10 gallons of water. Then, she filled as many 1-pint spray bottles as she could. How many spray bottles did she fill?

Answers

Answer:

88 bottles

Step-by-step explanation:

Given

[tex]Cleaner =1\ gallon[/tex]

[tex]Water =10\ gallon[/tex]

Required

Determine the number of 1-pint spray bottles used

First, we get the total gallons of the cleaner and water.

[tex]Total = Cleaner + Water[/tex]

[tex]Total = 1\ gallon + 10\ gallon[/tex]

[tex]Total = 11\ gallon[/tex]

Convert to pints:

[tex]Total = 11 * 8\ pints[/tex]

[tex]Total = 88\ pints[/tex]

To get the number of spray bottles, we divide 88 pints by the size of the pint bottle.

[tex]Number = \frac{88\ pints}{1\ pint}[/tex]

[tex]Number = \frac{88}{1}[/tex]

[tex]Number = 88[/tex]


Please help!!! Will give brainlist!!!

Answers

Answer:

[tex]\frac{9}{14} \ chance[/tex]

Step-by-step explanation:

1. Approach

Probability is a way of predicting a future outcome based on given data. In essence, the formula for finding the probability is, [tex]\frac{desired\ outcomes}{total\ outcomes}[/tex].

It is given that

- (63) paid with cash

- (22) paid with a debit card

- (13) paid with a credit card

First, add all of these numbers up to find the total number of customers. Then set up the probability, finally, simplify the fraction by diving both the numerator and denominator by a common factor.

2. Find the total number of customers

Add up all of the given customers, regardless of their payment type.;

[tex](cash)+(credit)+(debit)\\\\= 63 + 22 + 13\\\\= 98[/tex]

(98) total customers.

3. Find the probability

Now set up the probability, remember, the formula for finding the probability is,

[tex]\frac{desired\ outcomes}{total\ outcomes}[/tex]

The desired outcome is the number of customers who pay with cash = (63)

The total outcome is the number of customers who when to the business; (98)

Substitute in the numbers and simplify,

[tex]\frac{desired\ outcomes}{total\ outcomes}[/tex]

[tex]\frac{63}{98}[/tex]

Both of these numbers are divisible by (7), hence divide the fraction by (7)

[tex]\frac{9}{14}[/tex]

PLS HELP what expression is equivalent to 2 + y + y + y + y + y +3?

Answers

Answer:

5y+5

Step-by-step explanation:

I hope this is right

what's
[tex] \sqrt{ {25}^{2} - 15 {}^{2} } [/tex]

Answers

I’m pretty Sure that the answer would be 20 because 25 to the power of 2 would be 50 and 15 to the power of 2 is 30 and 50 - 30 =20

Answer:

20 Ans ..

Step-by-step explanation:

Given:

=25²-15²

Solution:

= √625-225

= 20 ans .....


HELP HELP HELP HELP HELP!

Distribute the following expression, and type the equivalent expression into the text box.

3(12x-6)

Answers

Answer: thanks for brainly points kid

Step-by-step explanation:

Shed A and Shed B are both rectangular prisms. Shed A has a length 6½ feet, width 6½ feet, and height 8½ feet. Shed B has length and width twice as long as Shed A, but has the same height. What is the volume of Shed B?

Answers

Answer:

1436.5 ft^3

Step-by-step explanation:

Shed B

L = 2* 6.5 = 13

W = 2*6.5 = 13

H = 8.5

Formula

Volume = L*w*h

Solution

Volume = 13 * 13 * 8.5

Volume = 1436.5

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