Calculate the size of angle x.
Give your answer to 1 decimal place.
8 cm
11 cm
х
15 cm

Answers

Answer 1

Given:

Consider the below figure attaches with this question.

To find:

The size of angle x.

Solution:

Law of Cosines:

[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]

Three sides of the triangle are 11 cm, 8 cm, 15 cm. Since 11 cm is the opposite side of the angle x, therefore [tex]a=11[/tex].

Let [tex]A=x,a=11,b=8,c=15[/tex]. Substitute these values in the above formula.

[tex]\cos x=\dfrac{8^2+15^2-11^2}{2(8)(15)}[/tex]

[tex]\cos x=\dfrac{64+225-121}{240}[/tex]

[tex]\cos x=\dfrac{168}{240}[/tex]

[tex]\cos x=0.7[/tex]

Taking cos inverse on both sides, we get

[tex]x=\cos^{-1} 0.7[/tex]

[tex]x=45.572996^\circ[/tex]

[tex]x\approx 45.6^\circ[/tex]

Therefore, the measure of angle x is 45.6°.

Calculate The Size Of Angle X.Give Your Answer To 1 Decimal Place.8 Cm11 Cm15 Cm

Related Questions

Can someone help me pls. 4x = 24

Answers

Answer:

4x = 24

Divide by 4 to isolate the x

x = 6

4x6=24 so 4x=24 which means x=6

Please help answer this question!!

Answers

Answer:

The answer of this question is 265 feet.

A landscaper is marking off the corners of a rectangular plot of land. Three of the corners are in place as shown. What are the coordinates of the fourth corner?

Answers

The coordinates of the fourth corner is, (- 6, 2)

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

Three of the corners are,

⇒ (0, 5), (5, - 4), (- 1, - 7)

Let the coordinates of the fourth corner is, (x, y)

We know that;

Mid point of diagonal of rectangle intersect at one point, so we get;

⇒ (x + 5) / 2 , (y + (-4))/2 = ( (0 - 1)/ 2, (5 - 7)/2 )

⇒ (x + 5) / 2 = (0 - 1) / 2

⇒ x + 5 / 2 = - 1/2

⇒ x + 5 = - 1

⇒ x = - 6

⇒ ( y - 4 )/ 2 = (5 - 7) / 2

⇒ y - 4 = - 2

⇒ y = - 2 + 4

⇒ y = 2

Thus, The coordinates of the fourth corner is, (- 6, 2)

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Simplify: -12x + 5x - x

Answers

Answer:

[tex] - 8x[/tex]

the answer is -8x.

Answer:

-8x is your answer

Step-by-step explanation:

-12x + 5x - x

-7x-x

-8x

C G
Write a quadratic function f whose zeros are -9 and 2
I

Answers

Zeros are -2 and -8
Functions are =-2 and -8
(X + 2) (X + 8)
X to the power of 2 + 8x + 2x+16
= x to the power of 2 + 10x + 16

help with math please!!!

Answers

Answer:

[tex]\Huge\boxed{240ft^2}[/tex]

Step-by-step explanation:

Hello There!

The figure shown is a trapezoid with the following dimensions

base 1 = 12ft

base 2 = 20 ft

height = 15 ft

Given these dimensions we need to find the area

We can do this by using the area of a trapezoid formula

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

Knowing the dimensions all we have to do is plug in the values

[tex]A=\frac{12+20}{2} 15\\12+20=32\\\frac{32}{2} =16\\16*15=240\\A=240ft^2[/tex]

So we can conclude that the area of the floor that needs to be replaced with tile is 240 ft²

ANSWER:
240ft squared

STEP BY STEP:
1) find the area of the square (15x12)
2) find area of triangle (8x15)/2
Add these numbers up (180+60)

Hope this helps

A carpenter cuts a board 3 3/8 feet off the end of a board that is 6 1/2 feet long. How long is the remaining piece of board?

Answers

Answer:

[tex]6 \times \frac{1}{2} - 3 \times \frac{3}{8} = 1 \times \frac{7}{8} [/tex]

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The remaining piece of the board when [tex]3\frac{3}{8}[/tex] feet is cut off from the end of the board of [tex]6\frac{1}{2}[/tex] feet is

[tex]3\frac{1}{8}[/tex] feet

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example:

1/2, 1/3 is a fraction.

1/2 of 4 is 2.

1/4 of 20 is 5.

We have,

Length of the board = [tex]6\frac{1}{2}[/tex] feet.

The length cut off from the board = [tex]3\frac{3}{8}[/tex] feet.

The remaining length of the board:

= [tex]6\frac{1}{2}[/tex]  -  [tex]3\frac{3}{8}[/tex]

= 13/2 - 27/8

Find the Lcm of 2 and 8.

The Lcm of 2 and 8 is 8.

= (13x4 - 27) / 8

= (52 - 27) / 8

=  25/8

Write it in a mixed fraction.

= [tex]3\frac{1}{8}[/tex] feet

Thus,

The remaining piece of the board when [tex]3\frac{3}{8}[/tex] feet is cut off from the end of the board of [tex]6\frac{1}{2}[/tex] feet is  [tex]3\frac{1}{8}[/tex] feet.

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Jamal and Anna start walking in opposite directions from the same point. Anna walks 0.5 miles every 10 minutes, Jamal Walks 1.2 miles every 30 minutes


How far apart are Jamal and Anna after 1 hour

Answers

Anna

10minutes 0.5

20minutes 1.0

30minutes1.5

40minutes2.0

50minutes2.5

1hour 3.0

Jamal

30 minutes 1.2

60 minutes 2.4


Your awnser is

Anna is 3.0 miles away from Jamal, and Jamal is 2.4 miles away from Anna

Flying against the wind, an alrplane travels 4700 kilometers in 5 hours. Flying with the wind, the same plane travels 9520 kilometers in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?​

Answers

Answer:

i think this

Step-by-step explanation:

Let Va = the velocity of the airplane

Let Vw = the velocity of the wind

When flying with the wind:

(Va+Vw)*(4 hours) = 4000

4Va + 4Vw = 4000

4Vw = 4000 - 4Va

Vw = 1000 - Va

When flying against the wind:

(Va-Vw)*(7 hours) = 4200 km

7Va - 7Vw = 4200

Substitute 1000-Va for Vw and solve for Va:

7Va - 7(1000-Va) = 4200

7Va -7000 + 7Va = 4200

14Va = 11200

Va = 800 km/hr

Rate of wind:

Vw = 1000 - Va = 1000 - 800 = 200 km/hour

What’s the area? Please help!!

Answers

We can find the area of each shape separately
The area of the triangle can be found by A = 1/2bh
So the area will be 1/2 times (6+14+6= 26) 26 times 21
The area of the triangle will be 273 ft^2
The area of the square will be A=lxh
So the area will be 14 times 14
So the area of the square will be 196 ft ^2
We then add the area of both shapes together to get the total area
273 + 196 = 469 ft^2

9514 1404 393

Answer:

  469 square yards

Step-by-step explanation:

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(6+14+6)(21) = 273

The area of the square is ...

  A = s^2 = 14^2 = 196

The total area of the figure is the sum of the parts.

  273 +196 = 469 . . . square yards

Factorise the following expressions​.

Answers

Answer:

Q.1 a²+10a+24

splitting the middle.

a²+6a+4a+24

=a(a+6)+4(a+6)

(a+6)(a+4)

Q.2 x²+9x+18

splitting the middle

x²+6x+3x+18

x(x+6)+3(x+6)

(x+6)(x+3)

i need help <3 <3 < 3 <3 <3 <3 <3 <3 <3 <3

Answers

Answer:

I have study up to 8 class hahahahahah

Answer:

owo - well uh

Measurement of missing angle?

Answers

Answer:

79 degrees

Step-by-step explanation:

180 - 73 - 28 = 79

Because a line is 180 degrees

A person's systolic blood pressure, which is measured in millimeters of mercury (mm Hg), depends on a person's age, in years. The equation: P = 0.006 y 2 − 0.02 y + 121 gives a person's blood pressure, P , at age y years. A.) Find the systolic pressure, to the nearest tenth of a millimeter, for a person of age 40 years. B.) If a person's systolic pressure is 130.74 mm Hg, what is their age (rounded to the nearest whole year)?

Answers

Answer:

129.8 mmHg

42 years

Step-by-step explanation:

Given the relation :

P = 0.006 y² − 0.02 y + 121

Systolic blood pressure, P

Age, y

A.)

Find P when age y = 40

P = 0.006(40)² − 0.02(40) + 121

P = 9.6 - 0.8 + 121

P = 129.8 mmHg

B)

P = 130.74 mmHg

y =?

130.74 = 0.006y² − 0.02y + 121

130.74 - 121 = 0.006y² − 0.02y

9.74 = 0.006y² − 0.02y

0.006y² − 0.02y - 9.74 = 0

Using a quadratic equation solver :

The roots are 41.99 and - 38.66

Age cannot be negative ;

Hence age = 41.99 = 42 years

GIVING 25 PTS URGENT

Answers

Answer:

D) 76 sq in

Step-by-step explanation:

It’s 4 triangles. A=1/2bh

1/2(8)(5)=20 (two of these)

1/2(8)(6)=24

1/2(4)(6)=12

20+20+24+12=76

(10 POINTS) answer ASAP if you can

Answers

I think that the answer is R
I think it’s R I have the same prb

help plz ill give extra points

Answers

Answer:

B

Step-by-step explanation:

Because its didn't say European

The answer is D “ European monarch ( king or queen)

7. How do you write a deposit of $15?

Answers

15.00 that’s is technically equal to 15 dollars written in decimal

You would need to generate a deposit slip or utilize an electronic banking system to send the funds into your account to deposit $15.

What is a deposit slip?

A deposit slip is a little paper form that is included by a bank customer when depositing payments into a bank account.

To write a deposit of $15, you would need to create a deposit slip or use an electronic banking system to transfer the money into your account.

To write a deposit slip, you would need to follow these steps:

Obtain a deposit slip from your bank or financial institution, or use a deposit slip provided by your bank's mobile app.

Fill in your personal and account information, including your name, account number, and any other required information.

Indicate the amount of the deposit, in this case $15, in the designated area on the deposit slip.

If you are depositing checks or other negotiable instruments, list the details of each item in the designated area on the deposit slip, including the payee, check number, and amount.

Review the deposit slip for accuracy and completeness, and make any necessary corrections.

Submit the deposit slip and any accompanying cash or checks to a bank teller or use an ATM or mobile app to complete the deposit.

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ok soo i am having trouble with this question lol what is 0 divided by 0

Answers

Answer:

0 because 0 is 0 and divided it's 0

What is the area of this?

I need step by step

Answers

Answer:

Driveway Area = 218 square feetGarden Area = 230 square feetTotal Area = 448 square feet

See diagram below.

====================================================

Explanation:

Start at the lower left corner of the entire figure. Move 20 ft directly to the right until reach the end of the driveway at the bottom. Now move 10 ft up so you reach the other side of the driveway (the 26 ft side). In the process of moving 10 ft up, mark a new line segment. I've done so in red in the diagram below.

I've also drawn a green box. The red line and green box form a shape of a flag on a flagpole. The pole being 10 ft tall and the green box (flag) is a 6 by 3 rectangle. The 6 is from 26-20 = 6 and the 3 is from 10-7 = 3. Note how I'm subtracting the opposite side values to help figure out the dimensions of this green box.

The 10 ft by 20 ft portion of the driveway is 10*20 = 200 square feet. The green box adds on another 18 sq ft because 6*3 = 18. In all, we have 200+18 = 218 square feet for the driveway.

-------------------

If you want to know the area of the garden, then we first compute the overall area of everything shown. That's 32*14 = 448 square feet. Subtract off the driveway's area to get 448-218 = 230. Therefore, the garden's area is 230 square feet.

Help! See the picture below

Answers

yes it is a solution of the equation.

Answer:

12=12, so I believe your answer would be yes. I hope this helps.

Step-by-step explanation:

(4,10)

y = 3x - 2

10 = 3(4) - 2

10 = 12 - 2

+2         +2

12 = 12

Each base in this right prism-like figure is a semicircle with a radius of 7 cm.
7 cm
20 cm
What is the volume of the figure?
Give an exact answer in terms of pi.

Answers

Answer:490pi

Step-by-step explanation:just trust me

The volume of the given figure is required.

The required volume is 490π cm³

Volume

r = Radius of semicircle = 7 cm

h = Height of prism = 20 cm

The volume of a cylinder is

[tex]\pi r^2h[/tex]

The volume of the given shape will be half of a cylinder, so

[tex]V=\dfrac{1}{2}\pi r^2h\\\Rightarrow V=\dfrac{1}{2}\pi\times 7^2\times 20\\\Rightarrow V=490\pi\ \text{cm}^3[/tex]

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tttgggggggggggggggggggghfggf

Answers

1.)jandiwnjxjw

2.)keiiqkwisjus

3.)jajxiwnixnjajjx


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/ ᡕᠵ᠊ᡃ່࡚ࠢ࠘ ⸝່ࠡࠣ᠊߯᠆ࠣ࠘ᡁࠣ࠘᠊᠊ࠢ࠘

Find a solution to the following system of equations by graphing
y= 7x + 3
y= 3x -0.5

Answers

Answer: (-7/8, -3 1/8)

Step-by-step explanation:

To find the solution to a system of equations by graphing, you graph the two equations and the solution is where the two lines intersect. Attached is the graph.

Answer:

the answer is (-0.875, -3.125)

Do not understand please help
Thank u

Answers

Answer:

43.4

Step-by-step explanation:

You will need to use the phythagoream therom, which is a² + b² = c².  Plug the values in for the variables to get 7² + b² = 44², (c would equal the hypothenuse because the hypothenuse is the longest side of the triangle.)  Square the values to get 49 + b² = 1936.  Subtract 49 from both sides to get b² = 1887, then take the square root of both sides to get b = 43.4 (rounded to the nearest tenth.)  

I am really sorry if I'm wrong, but have a good day/night!  :)

Answer:

Use the Pythagoras' theorem

-the square of the hypotenuse equals to the sum of the squares on the other two side:

a^2 = b^2 + x^2

-given the hypotenuse and another side and asked to find the missing side:

Therefore you play with the equation to make the missing side the subject of formula as I did above.

a stack of 150 pieces of paper is 2.5 cm thick how many pieces of paper are in a pile 6.5 CM thick​

Answers

Find the scale factor of the height:

6.5cm / 2.5cm = 2.6

Multiply the known pages by the scale factor:

150 x 2.6 = 390 pieces of paper.

corri received money for her birthday. she let lakisha borrow $4.50 and spent half of the remaining money. the next day she received $10.00 from her uncle. after spending $12.50 at the movies she still had $7.75 left. how much money did she receive?

Answers

Answer:

I’m not sure but I would say around 20 bucks or 22somewhere in the 20s

Step-by-step explanation:

Okay I know this is a crazy thing to ask on brainly but would anyone be interested in finishing my Math 4 class for $100 dollars?? my word is good I promise! I just need to pass!!! PLS HELP

Answers

Answer:

ok but I know this is a lie I'm just willing to help

100 POINTS!!! Orthographic projection and isometric projection are two ways to show three-dimensional objects in a two-dimensional space, such as on a piece of paper or a computer screen. Each method gives a different perspective. Do some research and then compare and contrast the two methods for displaying three-dimensional shapes. Then try your hand at creating both types of projections for a simple geometric shape using paper, pencil, and a ruler.

In your opinion, what are the pros and cons of each projection? What are the limitations? In which circumstances, environments, or occupations is one type of projection likely preferred over the other? Describe any special tools that might be needed to create the projection. Which projection is easiest for you to interpret visually? Why?

Answers

Example 1:

The pros of Orthographic is that they can show hidden details and all of the connecting parts, they can be annotated to display material and finishes. The pros of Isometric projection is that they dont need many views and it gives accuracy, cons are is created a unorginized apperance by the lack of foreshortening, I would choose Isometric projection because it shows the size of the figure.

Example 2:

Orthographic projection is a good option for showing lots of detail and small things. The limitation is that with all of that detail, they can become quite messy and hard to understand to someone new to them. However, that is one of the pros of Isometric projection. It gives easy detail and is just as good as an Orthographic. Personally, I find Isometric projections easier to interpret.

Which rule should be applied to reflect f(x)=x^3 over the line y=x?
NEED HELP NOW!!!!! 12 points!!!!!​

Answers

Answer:

A. Substitute -x for x and simplify f(-x)

Step-by-step explanation:

i just did this

Answer:

I just did this

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