Find the value of x.
Round to the nearest tenth.
х
16
30°
30
x = [?]
need help asap:(

Find The Value Of X.Round To The Nearest Tenth.163030x = [?]need Help Asap:(

Answers

Answer 1

Answer:

[tex] x\approx 18.0[/tex]

Step-by-step explanation:

Here, a = 30, b = 16, C = x

By law of cosines

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos C \\ \\ {x}^{2} = {30}^{2} + {16}^{2} - 2 \times 30 \times 16 \: cos 30 \degree \\ \\ {x}^{2} = 900 + 256 - 960 \times \frac{ \sqrt{3} }{2} \\ \\ {x}^{2} = 1156 - 480 \times \sqrt{3} \\ \\ {x}^{2} = 324.615612 \\ \\ x = \sqrt{324.615612} \\ \\ x = 18.0170922 \\ \\ x \approx \: 18.0[/tex]


Related Questions

Please help asap please..ill give Brainliest

Answers

Answer:

There are no solutions

Step-by-step explanation:

Because the lines are parallel, they will never meet, meaning there are no solutions to this system of equations

Can someone help me please?

Answers

Answer:

(0, -10), (2, 0), (-2, -50)

Step-by-step explanation:

Plug in numbers for the x and solve for it

I will start with 0

y = 5(0 - 1)^2 - 5

y = 5(-1) - 5

y = -5 - 5

y = -10

2

y = 5(2 - 1)^2 - 5

y = 5(1) - 5

y = 5 - 5

y = 0

-2

y = 5(-2 - 1)^2 - 5

y = 5(-9) -5

y = -45 - 5

y = -50

You just keep plugging in numbers until your graph finds its shape. Of course, you can chart the numbers I have already found.

What is the length of the unknown side?

Answers

Answer:

use Pythagoras theorem

✓12x12+16x16

✓400

20

Answer:

20

Step-by-step explanation:

Hope this helped!

State the null and alternative hypothesis: The average score of 40 high school basketball games is less than 26

Answers

Answer:

[tex]H_o:\mu = 26[/tex]

[tex]H_a:\mu < 26[/tex]

Step-by-step explanation:

Given

Average score is less than 26

Required

Determine the null and alternate hypothesis

Since the average is said to be less than 26; that represents the alternate hypothesis.

The null hypothesis will be:

[tex]Average = 26[/tex]

So, we have:

[tex]H_o:\mu = 26[/tex]

And the alternate hypothesis

[tex]H_a:\mu < 26[/tex]

1/3x+7=3(x+2/3) show your work

Answers

Answer:

15/8

Step-by-step explanation

Answer:

x= 15/8

Step-by-step explanation:

1. Remove the parentheses.

2. Multiply both sides.

3. Move the terms

4. Collect like terms, calculate

5. Divide both sides

Can you help me with this? (easy)

Answers

Answer:

6. 18

7. 8

do the rainbow method

Answer:

The GCF of 36 and 90 is 18

The GCF of 16, 24, and 40 is 8

Step-by-step explanation:

If the midpoints of the sides of ∆EFG shown below were connected with line segments, what would be the perimeter of the resulting triangle? Explain how you arrived at your answer. *

Answers

Answer:

17.5

Step-by-step explanation:

I beleive since we are connecting midpoints you divide each side by 2 and add them all up to get the perimeter of the smaller triangle made with the ratio of 1:2

The midpoints of the sides of ∆EFG are connected with line segments, then the perimeter of that triangle is 15.5 cm.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Given

If the midpoints of the sides of ∆EFG shown below were connected with line segments.

Then the sides of the triangle get half.

Then the perimeter will be of a new triangle will be

[tex]\rm Perimeter = \dfrac{8}{2} + \dfrac{15}{2} +\dfrac{12}{2}\\\\Perimeter = 17.5[/tex]

Thus, the midpoints of the sides of ∆EFG are connected with line segments, then the perimeter of that triangle is 15.5 cm.

More about the triangle link is given below.

https://brainly.com/question/25813512

what is the value of 16 to the power 3/4

Answers

Answer:

Step-by-step explanation:

[tex]16^{\frac {3}{4}[/tex] = [tex]\sqrt[4]{16^{3}}[/tex]

So, 16 to the power of 3 equals 4096

[tex]\sqrt[4]{4096}[/tex] = [tex]\sqrt[4]{8^{4}}[/tex]

=8

Whats the difference between Radius and Diameter ?

Answers

Answer:

Diameter is twice a radius.

Step-by-step explanation:

Answer:

Radius is half the diameter

Step-by-step explanation:

Radius is always half the diameter, and can be used to find diameter, as well as diameter can be used to find radius.

point D(9,-8) is reflected to D'(9,8)

Answers

Answer:

reflected across the x axis

Step-by-step explanation:

-16(d+1)=20

what does d equal

CORRECT answers ONLY please

Answers

Answer:

-1.3125

Step-by-step explanation:

-16(d+1) = 20

-16d - 1 = 20

       +1    +1

-16d = 21

d = -1.3125

or -1.3

Draw a vertical y-axis on the left-hand side of your graph and label it. Then draw a horizontal x-axis at the bottom of your graph. Then label the coordinates of each corner of the sign on your graph. Draw line a on your graph. What is the slope of line a?

Answers

Answer: 20

Step-by-step explanation:

Help!!!!! Please!!!!!

Answers

Answer:

9 cm

Step-by-step explanation:

r = 3cm

Volume of cone = 27π cm³

[tex]\frac{1}{3}\pi r^{2}h=27\pi \\\\\frac{1}{3}*\pi *3*3*h=27\pi \\[/tex]

                   h   = [tex]\frac{27\pi *3}{\pi *3*3}\\[/tex]

                    h = 9 cm

Multiply. −37xy(−35x3y2) Enter your answer in the box

Answers

Answer:

Hi! Your answer is 1295x^4y^3

Step-by-step explanation:

Simplify the expression.

Answer:

i got 15x^4y^3

A line passes through the point (0,-5). The gradient of this line is 3.
Write down the equation of this line

Answers

Answer:

The equation of the line is;

y = 3x -5

Step-by-step explanation:

Here, we want to write down the equation of the line

We can use the point-slope form

y-y1 = m(x-x1)

(x1,y1) represents the given point (0,-5)

m represents the slope = 3

Substituting these values

y-(-5) = 3(x-0)

y + 5 = 3x

y = 3x - 5

Quadratic form of f(x)=(x+7)^2

Answers

Answer:

x^2 + 14x + 49

Step-by-step explanation:

Use the distributive property:

(x + 7)(x + 7) = x^2 + 7x + 7x + 49 = x^2 + 14x + 49

HELP!!!! anyone know any of these answers for the “Homework: February Spiral Review” 20 questions!!!!

Answers

Answer:

Linear equation

Step-by-step explanation:

The rate of change for y with respect to x remains constant for the linear equation.

The rate of change is 3

Answer:

nonliner

Step-by-step explanation:

it changes.

the input is right but the output isn't

If the area of a rectangle is

(15x^2 - 16x - 15) square feet,

and its length is (3x - 5) feet,

find its width.

Answers

Answer:

Width = 5x +3

Step-by-step explanation:

15x² - 16x - 15  =  15x² - 25x +  9x  - 3 *5

                       = 5x(3x - 5) + 3(3x - 5)

                      = (3x - 5)(5x + 3)    

Width = [tex]\frac{Area}{length}[/tex]

          [tex]= \frac{15x^{2}-16x - 15}{(3x-5)}\\\\=\frac{(3x-5)(5x+3))}{(3x-5)}\\\\=5x + 3[/tex]

40 = 4(3d – 5)
show your work

Answers

40=4(3d-5)

40=12d-20

60=12d

5=d

d=5

Theo budgets $154 for karate classes. He buys a karate uniform, called a dogi, for $12. If it costs $8 to attend each karate class, which inequality below represents the number of classes, c, that Theo can take?

Answers

Answer- 1234

Step-by-step explanation:

sorry

Answer:

An inequality that represents the number of classes. C, that Theo can take is: 8c+12<=154.

Step-by-step explanation:

What is the measure of angle 3 in degrees?

27 degrees

33 degrees

60 degrees

153 degrees

Answers

27 degrees (i think)

If x = 8 units, y = 3 units, and h = 1 unit, then what is the area of the parallelogram shown above?

Answers

Answer:

8unit²

Step-by-step explanation:

The Area of a parallelogram :

Length of base * height

Length of base, x = 8 units

Height, h = 1 unit

Area = Length of base * height

Area = 8 units * 1 unit

Area = 8unit²

This is a complemntary angle. Solve for X

(Hi pls pls solve this! I will give someone the brainlest no bs)

Answers

Answer:

x = 30

Step-by-step explanation:

We start off with 90 degrees

2x + x = 90

Add all like terms

3x = 90

Divide 3 on both sides

[tex]\frac{3x} {3} = \frac{90} {3}[/tex]

x = 30

To check your answer:

Let x be 30

2x + x = 90

2 (x 30) + 30 = 90

60 + 30 = 90

90 = 90

Answer correctly !!!!!!!!! Will be marking Brianliest !!!!!!! URGENT URGENT !!!!!!!!!!!!!!!

Answers

Answer:

(5/2,2)

Step-by-step explanation:

3+2/2,0+4/2

5/2,4/2

5/2,2

(4,-4) is the answer

I need adjacent angle pair and vertical

Answers

Answer: Adjacent Angles: (1,2) and (3,4)

Vertical Angles: (1,3) and (2,4)

Step-by-step explanation:

Adjacent means that the two angles add up to 180 (in other words they form a straight line).

Vertical means that they are opposite from each other and have the same equal value.

hope this helps :)

Answer:

Adjacent angle are 4,2 and 1,3. The Vertical angles are 1,2 and 3,4.

Step-by-step explanation:

drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge when flat. Find the height of the suspension point of the chain, to the nearest tenth of a meter, and the measures of the acute angles the chain makes with the wall and the drawbridge, to the nearest degree.


Answers

Answer:

4.0 meters, ∠C = 39°, ∠A = 51°

Step-by-step explanation:

Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the Pythagorean Theorem to solve for the height of the chain:

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

[tex](3.3)^{2} +b^{2} =(5.2)^{2}[/tex]

[tex]b^{2} =(5.2)^{2}-(3.3)^{2}[/tex]

[tex]b =\sqrt{(5.2)^{2}-(3.3)^{2}}[/tex]

[tex]b=4.0187...[/tex]

[tex]b=4.0 m[/tex]

Now, we can use the Law of Cosines to figure out one of the acute angles:

[tex]c^{2} =a^{2} +b^{2} -2ab(cos(C))[/tex]

[tex](3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))[/tex]

[tex]cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}[/tex]

[tex]C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})[/tex]

[tex]C=39.3915...[/tex]

∠C = 39°

And since we know that all angles in a triangle add up to 180°:

∠A + ∠B + ∠C = 180

∠A + 90 + 39 = 180

∠A = 180 - 90 - 39

∠A = 51°

However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!

Six equal blocks have a total mass of b kg. What is the mass of each block?.​

Answers

One block / total mass of the six blocks

1 / b kg

Buckner put 60$ of his 400 paycheck into his saving account.What percent of his paycheck was placed into saving?

Answers

Answer:

15%

Step-by-step explanation:

60/400 = 15/100 (I divided the numerator and denominator by 4 get the denominator 100, so we can find the percentage easily).

15/100 = 15%

by how much does 32 exceed 8

Answers

Answer:

by 24

Step-by-step explanation:

32-8 = 24

Select all the correct answers.
A free-falling golf ball strikes the ground and exerts a force on it. Which sentences are true about this situation?
A golf ball striking the ground is a collision.
The ground exerts an equal force on the golf ball.
The ground doesn’t exert a force on the golf ball.
The force is zero because the golf ball has little mass.

Answers

Answer:

A and B

Step-by-step explanation:

Answer:

golf ball striking the ground is a collision.

The ground exerts an equal force on the golf ball. y-step explanation:

PLATO

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