Find the length of side x to the nearest tenth.
х
600
30°
17

Answer:

9

Step-by-step explanation:

w+13-[tex]\frac{2w}{3}[/tex]=16

w · [tex]\frac{3}{3}[/tex] -[tex]\frac{2w}{3}[/tex]+13=16

[tex]\frac{w}{3}[/tex]+13=16

[tex]\frac{w}{3}[/tex]=3

w=9

Answer: 32

Step-by-step explanation:

The roman numeral XXXII is 32 and XXIII is 23.

The number for this Roman numeral XXXII is, 32

Given that,

We have to write the number for this Roman numeral  XXXII.

Since, We know that,

X represent in number = 10

I represent in number = 1

Hence, The number for this Roman numeral  XXXII is,

⇒ XXXII

⇒ (10 + 10 + 10 + 1 + 1)

⇒ 32

Therefore, the number for this Roman numeral  XXXII is, 32

Learn more about Number system visit:

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Answer:

free energy, in thermodynamics, energy-like property or state function of a system in thermodynamic equilibrium. Free energy has the dimensions of energy, and its value is determined by the state of the system and not by its history.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The slope of the given line is its constant of proportionality ~

so, let's find the slope ~

The required value is ~ 4

Answer:

Your answer should be 2.

Answer:

5 pounds

Step-by-step explanation:

54.89 - 49.75 = 5.14

Then once that was rounded is turned to 5 pounds

Answer:  5.14 pounds, A

Step-by-step explanation:

54.89 - 49.75 = 5.14 pounds

He needed to make a total of 1980 + 630 = $2610

$2610 / 45 = 58

Answer: 58

Answer:

the 20 dollars = the slope

the fee = the y-intercept

if a line has a slope of 20 and passes through the point (7,200), then what is the y-intercept?

y-intercept is 60

Answer:

6 feet and 8 inches

Step-by-step explanation:

1 foot = 12 inches

Answer: 6ft & 8 inches

Step-by-step explanation: 12 inches = 1 feet

2 feet = 24

3 feet = 36

4 feet = 36

5 feet = 60

6 feet = 72

80 - 72 = 8

6ft & 8 inches

[33] x = 140° & y = 118°

    The lines are parallel, sso we can tell that y will equal 118° degrees because of corresponding angles. Then for x, we can add the non-adjacent angles together, 118° + 22° = 140°

[35] x = 26° & y = 64°

    x will be 180° - 90° - 64° = 26° because a triangle's angles are equal to 180° and the box represents a 90° angle. y is equal to 64° because the lines are parallel, and if we "flip" one of the triangles around we can see that y and 64° are corresponding angles. (to check, we add 26° + 64° + 90°, and it does equal 180°!)

[37] Unfortunately, in this photo I cannot see the problem.

Have a nice day! - I saw you asking for help on this, I'm sorry, I was asleep ;-;

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

ANSWER MEEEEE

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

the angle is defined by equation ((n-2)*180)/n,where n is number of sides of a regular polygon

so here 180n-360=150n

30n=360

n=12

Answer:B

Step-by-step explanation:

Answer:

24c-14

Step-by-step explanation:

to find the perimeter, simply add up the values of the three sides:

(7c-5) + (7c-5) + (10c-4) = 7c-5+7c-5+10c-4 = (7c + 7c + 10c) + (-5 -5 -4) = 24c -14

Answer:

ggggggggggggggggggggg

Answer:

  10%

Step-by-step explanation:

The change is 90-100 = -10. As a percentage of the original amount, that is ...

  -10/100 × 100% = -10%

The change from 100 to 90 is a reduction of 10%.

Answer:

  a) b^3

  b) x^3

Step-by-step explanation:

It can be helpful to think of the exponent as specifying the number of times the base is a factor in the product. Of course, common factors in the numerator and denominator cancel.

  [tex]\dfrac{b^7}{b^4}=\dfrac{b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b}{b\cdot b\cdot b\cdot b}=b\cdot b\cdot b=b^{7-4}=\boxed{b^3}[/tex]

__

  [tex]\dfrac{x\cdot x^5}{x^2\cdot x}=\dfrac{x\cdot x\cdot x\cdot x\cdot x\cdot x}{x\cdot x\cdot x}=x\cdot x\cdot x=x^{6-3}=\boxed{x^3}[/tex]

What am I supposed to help with. You didn't put anything.

The true option is: (d) Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?

The inequality is given as:

[tex]\mathbf{135 \le 10r + 15}[/tex]

Rewrite as:

[tex]\mathbf{10r + 15\ge 135 }[/tex]

From the options, we can see that the inequality represents songs in a music player.

Linear inequalities can be represented as:

[tex]\mathbf{mx + b \ge y}[/tex]

Where:

m represents the rate i.e. 10

b represents the y-intercept or base i.e. 15

>= represents at least

So, the inequality can be interpreted as:

Hence, the true option is (d)

Read more about linear inequalities at:

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Answer:

Step-by-step explanation:

the diagonal of a square splits the square into 2 right triangles. So we can use Pythagorean's theorem.

where c is the hypotenuse. So the diagonal is the hypotenuse here, and thus c = 10. Now, since we are dealing with a square, all the sides are the same length, so a = b. So we have:

a² + a² = c²

2a² = 100

a² = 50

a = √50

a = 5 × √2 or 7,071067811865475

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

Answer: 50

Step-by-step explanation  :<

Answer:y = 4x - 5

Step-by-step explanation:

point slope form is in the form of y = mx + b. m is the slope so we plug thatin and have the equation y = 4x + b. since we also have a point on the line we can plug those into the equation too. -1 = 4 * 1 + b.

now we simplify that through algebra.

-1 = 4 + b

b= -5

sp we get b and we can say the equation is y = 4x -5

Answer: 629.51

Step-by-step explanation: 30% of 864.72 is 259.416

864.72 - 259.416 = 605.304      4% of 605.3 = 24.212     605.3 + 24.21 = 629.51

Answer:

K cool

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1400

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

1. 10^8 × 10^4 = 10(8+4) = 10^12.

2. (11^5)^4 = 11^(5*4) = 11^20.

3. 8^6 ÷ 8^3 = 8^(6-3) = 8^3.

4. (12^2) × 12^4 = 12^6.

5. (13^4) ÷ 13^5 = 13^(4-5) = 13^-1.

6. (5^2 × 5^3) ÷ 5^4 = 5^5 / 5^4 = 5.

7. 18^4 ÷ 18^6 = 18^-2.

8. (19^2)^4 ÷ 19^8​ = 19^8 / 19^8  = 18^(8-8) = 18^0 = 1.

Answer: (3x+1) (2x-5)

Step-by-step explanation:

the way I understand the description :

C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.

then, at B there is an antenna or other firm of mast going straight up.

therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).

but because it goes downhill from B to C the angle is 105 degree.

(a)(i)

now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?

this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.

what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.

(a)(ii)

the extended Pythagoras for not right-angled triangles :

c² = a² + b² - 2ab×cos(B)

B being the angle opposite of the Hypotenuse c.

so, we have

c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =

= 325 - 300×cos(105) = 402.6457135...

c = 20.06603383... ≈ 20 m