What is the value of X

What Is The Value Of X

Answers

Answer 1

Answer:

x ≈ 23.31

Step-by-step explanation:

We can use the law of cosines because we know 2 sides and 1 angle.

The general formula  for the law of cosines if the triangle sides are a, b,c and α is the angle between sides a and b. c is the missing side.

[tex]c = \sqrt{a^{2} +b^{2} -2*a*b* cos \alpha }[/tex]

In our problem the law of cosines is

x = [tex]\sqrt{21^{2} +13^{2} - 2*21*13 *cos 83}[/tex]

x ≈ 23.31


Related Questions

2. Jada fills her aquarium with water.

The graph shows the height of the water, in cm, in the aquarium as a function of time in minutes. Invent a story of how Jada fills the aquarium that fits the graph.

Answers

Answer:

Jada fills her aquarium with water at a constant rate of 5cm/minute for 2 minutes. She then stops the water from running for 1 minute. After that, she started to fill the aquarium at a constant rate of 10cm/minute for another 2 minutes. After 5 minutes, she reduces the water running at a rate of 5cm for 2 minutes. After 7 minutes, she turns off the water and the water is at 25cm.

Pls help
20 brainly points

a radio mast is supported by 4 cables, each of which is attached to the top of the mast. The depression from the top of the mast to the base of one of the supporting cables is 55 degrees. the height of the mass is 213 metres. work out the length of the cable

Answers

The cable and the mass forms a right triangle

The length of the cable is 260 meters

How to determine the length of the cables?

The given parametes are:

Angle = 55 degrees

Height of the mass (h) = 213 meters

The length of the cable (l) is calculated using the following cosine ratio

cos(90 - θ) = h/l

Substitute known values

cos(90 - 55) = 213/l

cos(35) = 213/l

Make l the subject

l = 213/cos(35)

Evaluate the quotient

l = 260.024987406

Approximate

l = 260

Hence, the length of the cable is 260 meters

Read more about right triangles at:

https://brainly.com/question/2437195

Agnes has $1,000 and she wants to have $1,100 accrued after 5 years. what rate does she need to have to meet her goal?

Answers

Answer:

the formula to use is R = 100I/ PT

Step-by-step explanation:

R = rate, I = interest = $1100, P = $ 1000, T= 5years

A 20-inch pizza has an area of 314 in? That pizza is
divided into eight equal slices. What is the area of two slices of
that pizza?

A. 3114 in2
B. 78.5 in2
C. 39.25 in2
D. 314 in2

Answers

The area of each pizza is gotten by dividing the total area by the number of slices. Therefore, the area of two slices of that pizza is 31.4 inches².

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words the area is the space occupied by a flat shape or the surface of an object.

Therefore, 20 inch pizza has an area of 314 inches². The pizza is divided into 8 equal slices.

Each area of the slices = 314 / 20

Each area of the slices = 15.7 inches²

Therefore, the area of two slices of the pizza is as follows:

area of two slices = 15.7 + 15.7 = 31.4 inches²

learn more on area here: https://brainly.com/question/16694104

Teleia bought 25 shirts for $237.50. How much would only one shirt cost?

Answers

Answer:

$9.50

Step-by-step explanation:

Divide 237.50 by 25

Evaluate the expression for p = 3.

2p =

Answers

Answer:

6

Step-by-step explanation:

2 x 3

One of the acute angles in a right triangle measures 62°. What is the measure of the other acute angle in the triangle?

Answers

Answer: 28 degrees

Step-by-step explanation:

In a right triangle, the two acute angles are complementary, so the other acute angle measures 90-62=28 degrees.

find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help

Answers

Answer: 452.16ft²

Area = πr².
Area = 3.14 × 12²
Area = 3.14 × 144
Area = 452.16ft²

Answer:

Its 452.16

Step-by-step explanation:

Because the formal is  [tex]\pi[/tex]r2

Which is 3.14*12*12=452.16

2. Triangle ABC is rotated around the origin. If vertex A transforms from A(-8,-10) to A (8, 10), which rotation was performed on the triangle?


Answers

Answer:

A. R180 degree rotation

Step-by-step explanation:

if you think about a graph, it has four quadrants, so imagine each of the quadtrants, being an add on of 90 degrees from the one you started on, so if you started in the double negative quatrant in the bottom left, it would take two quadrants to go in a circle to get to the full positive quadrant, making this, a 180 degree rotation

Lowes is having a Customer Appreciation Day Sale. Everything in the store is 25% off. The final purchase for the consumer is $2021.63. What is the cost to the consumer? Sales tax is 5%.

Answers

Answer:

$1592.03

Look at image above...

yeah help me okay thanks

Answers

Answer:

4

3

Step-by-step explanation:

Solve and show the answer in simplest terms 2 over 5 + 1 over 3

Answers

Answer:  

11/15

Step-by-step explanation:

2/5+1/3

Find a common denominator-15. The fractions with the common denominator are 6/15 and 5/15. They make 11/15. 11/15 is in its simplest form.

The expression 0.09x+(x−30) models the final price of a bicycle with an instant rebate in a state that charges a sales tax. The tax is on the original price.

Which expression represents the amount of tax that is paid on the bicycle?

Answers

ANSWER

I believe that the amount of the instant rebate is $30.  X represents the price of the bike, and 0.09 is the sales tax.

So if the bike cost $100:

0.09(100) + (100-30) = 9 + 70 = $79

Although I think I would want them to tax the bike after the instant rebate and not on the original price.

If I'm wrong about the instant rebate then it would be 1.09x-30.  Hope this helps.

There are exactly 4 parts to this question so if u can please answer thanks

Part A
Dilate Triangle OPQ with a scale factor of 1/2.
Provide the coordinates of each new vertex.

Part B
How does the size Triangle O'P'Q' compare to the size of Triangle OPQ?
Explain how this relates to the scale factor.

Part C
Are
Part D
If the length of segment OQ measures 9.8 units, what is the length of segment O'Q'? Explain in terms of similarity.

Answers

Answer:

see my question and come there now I want to talk with you

Step-by-step explanation:

Goal: illustrates radius, diameter, chord, center, arc, central angle, and

inscribed angle.

Role: Garden Designer/Landscape Architect

Audience: Math Teacher

Situation: A certified plantita and backyard owner plans to have a unique

garden. As a Landscape Architect, you are asked to make a sample layout of

a circular garden. She asks you to include the following on her garden:

● well

● pond

● bridge

● fountain

● walkways

● benches or chairs

● entrance and exit gates.

● trees, ornamental plants, and herbs

Procedure:

1. Draw a circle.

2. Conceptualize a circular garden and layout using the specified

items mentioned above.

What I Can Do

9

DISCIPLINE • GOOD TASTE • EXCELLENCE

3. Label the parts of circle formed on the garden layout

Please I'm looking for a serious answer. I need to pass this on monday. Thank you.

The mean distance from the Earth to the Sun is c gigametres (Gm), where c = 150 and 1 Gm = 10⁹ m. The mean distance from Pluto to the Sun is d terametres (Tm), where d= 5.91 and 1 Tm = 10¹² m. Express d as a percentage of c. Give your answer in standard form.

please help, I don't understand how to get percentage​

Answers

c=150 and 1=109 m the mean distance

Can anyone solve this correctly?

Answers

Answer:

  30 cm²

Step-by-step explanation:

The shaded area is the difference between the area of the rectangle and the area of the triangle.

The area of the rectangle is ...

  A = LW = (12 cm)(4 cm) = 48 cm²

The area of the triangle is ...

  A = 1/2bh = 1/2(9 cm)(4 cm) = 18 cm²

__

The shaded area is the difference ...

  rectangle area - triangle area = 48 cm² -18 cm² = 30 cm²

The area of the shaded region is 30 square centimeters.

Answer:

ANSWER30cm²

Step-by-step explanation:

A(rectangle) - A(triangle)

L×W - ½×B×H

12×4 - ½×(9)×(4)

48 - 2×(9)

48 - 18

= 30cm²

please help!! it is due today and i will give 50 points

Answers

Answer:

E) 36 ft²

Step-by-step explanation:

Formulae

Area of a triangle = 1/2 x base x heightArea of a rectangle = width x length

The shape is made up of 2 congruent triangles and 3 different rectangles.

Area of triangle = 1/2 x 3 x 4 = 6 ft²

Area of rectangle 1 = 2 x 4 = 8 ft²

Area of rectangle 2 = 2 x 3 = 6 ft²

To calculate the area of the 3rd triangle, we need to use Pythagoras' Theorem to determine the length of the hypotenuse of the right triangle.

   a² + b² = c²

⇒ 3² + 4² = c²

⇒ 25 = c²

⇒ c = √(25)

⇒ c = 5 ft

Therefore, area of rectangle 3 = 2 x 5 = 10 ft²

Total Surface Area

Total SA = 2 triangles + rectangle 1 + rectangle 2 + rectangle 3

               = (2 x 6) + 8 + 6 + 10

               = 36 ft²

What is the area of the given triangle?

Answers

Answer:

B  12

Step-by-step explanation:

4 x 6 = 24 divided by 2 = 12

The answer is 12

To find the area of a triangle you need to use this formula. Length x base and then divide in half.

So 6x4=24 and half of 24 is 12

I hope this was helpful :)

Which value of fff makes 3f+5=323f+5=323, f, plus, 5, equals, 32 a true statement?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
f=6f=6f, equals, 6

(Choice B)
B
f=8f=8f, equals, 8

(Choice C)
C
f=9f=9f, equals, 9

(Choice D)
D
f=12f=12

Answers

Answer:

f=9

Step-by-step explanation:

f+5=323f+5=32

We move all terms to the left:

3f+5-(323f+5)=0

We get rid of parentheses

3f-323f-5+5=0

We add all the numbers together, and all the variables

-320f=0

f=0/-320

f=9

   

Answer:

9

Step-by-step explanation:

what value of x makes this inequality true?
x + 16 < 43

Answers

Answer:

x < 27

Step-by-step explanation:

x + 16 < 43

move the constant to the right-hand side and change its sign

x < 43 - 16

subtract the numbers

x < 27

~~~~~~~~~~~~~~~~~~

X < 27

alternative form

X ∈ ( - ∞ , 27 ) , { x | x < 27 }

QUICK please help meeee.​

Answers

Answer: A. Obstacle

Step-by-step explanation: They have the same meaning.


Larry earns $5.25 per hour helping his neighbor. Last month he earned $220.50. How many
hours did Larry work?

Answers

He worked 42 hours.
Explanation: If he earns $5.25/ hr you would divide the amount of money he earned by 5.25 which equals 42. By doing this you are finding out how many times 5.25 (how much he makes in ONE hour) goes into 220.50 therefore finding out how many hours he worked.

WILL GIVE BRAINLIEST! Calculate the length of AB

Answers

Answer:

x=6.6

Step-by-step explanation:

13:5=x:3

33=5x

33/5=x

6.6=x

Answer:

15.16047 cm

Step-by-step explanation:

notice that the smaller triangles ratio is 3 : 5

so the bigger triangle's bottom side has length 13 cm

so lets multiply 13 by (3/5)

we get 7.8

we can just use pythagorean theorem to find AB

[tex]\sqrt{x} = 7.8^{2} + 13^{2}[/tex]

15.16047 cm

How to find the area of a half of a square?

Answers

Answer:

if u make the square half by its midpoint then we can find its area by using the area of rectangle.

if u make the square half from the diagonal we can find its area by using area of triangle.

x/14=7
what is x?

x/5=4.1
What is x

Answers

Answer:

x = 98 , x = 20.5

Step-by-step explanation:

[tex]\frac{x}{14}[/tex] = 7 ( multiply both sides by 14 to clear the fraction )

x = 98

[tex]\frac{x}{5}[/tex] = 4.1 ( multiply both sides by 5 to clear the fraction )

x = 20.5

Step-by-step explanation:

#1

x/14=7

x=14×7

x=98

#2

x/5=4.1

x=5×4.1

x=20.5

154-54(79-1554)+12x24

Answers

Answer:

80092

Step-by-step explanation:

Answer:

80092.

Step-by-step explanation:

Given equation:

154 - 54 * (79 - 1554) + 12 * 24

Step-By-Step:

Step 1

Subtract the numbers:

154 - 54 * (79 - 1554) + 12 * 24= 154 - 54 * (-1475) + 12 * 24

Step 2

Multiply the numbers:

154 - 54 * (-1475) + 12 * 24= 154 + 79650 + 288

Step 3

Add the numbers:

154 + 79650 + 288= 80092.

Answer is 80092.

What are the x-intercepts of ? f(x)=x3+4x2-9x-36? A. (1,0),(2,0),(3,0) B. (-1,0),(2,0),(18,0) C. (-6,0)(2,0)(3,0) D.(-4,0),(-3,0)(3,0)

Answers

Answer:

D. (-4,0),(-3,0)(3,0)

Step-by-step explanation:

What is the equation of the line that passes through the point (-2,-1) and has a slope of 1/2?​ ?

Answers

equation of line will be

y+1=1/2(x+2)

Hello!

Let's write the equation of the line in both Point-Slope Form and Slope-Intercept Form.

First, point-slope form:

y-y1=m(x-x1)

y-(-1)=1/2(x-(-2) (Point-Slope Form)

Now, convert into Slope-Intercept form:

y+1=1/2(x+2)

y+1=1/2x+1

y=1/2x+1-1

y=1/2x

Hence, the equation of the line is

[tex]\boxed{\boxed{\bold{y=\frac{1}{2}}} }[/tex] (Slope-Intercept Form)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Please help me with this please and thank you

Answers

Answer:

12

Step-by-step explanation:

4x-3x

4*3=12

it is 12

5x+3y-11
What’s the answer ?.

Answers

Answer:

x=3y/5 + 11/5

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable

x

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