Point Q was rotated by -30° (the center of rotation is indicated).

Answer:

4x+12=120°

X=12-4=120°

X=8=120

X=120/8

X=15

Answer:

Step-by-step explanation:

4x + 12 =

      -12 = -12

4x = -12

/4      /4

x = -3

Answer:

A. 30°

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

Answer:

x= 12/7

Step-by-step explanation:

3x+4x=12

Step 1: Simplify both sides of the equation.

3x+4x=12

(3x+4x)=12(Combine Like Terms)

7x=12

7x=12

Step 2: Divide both sides by 7.

7x  7 = 12 7 x= 12 7

12/7

Answer:

G. 12 cm

Step-by-step explanation:

Length of one leg of right triangle = a = 9 cm

Length of hypotenuse = c = 15 cm

Length of the other leg = b = ?

Applying pythagorean theorem, c² = a² + b², we have:

15² = 9² + b²

15² - 9² = b²

144 = b²

b = √144

b = 12

Answer:

Hope this helps

Step-by-step explanation:

Carina can assemble 10 products within the give time

Answer:

Step-by-step explanation:

Yes, each input value is paired with only one output value.

The function represent the given graph is f(x)=0.67x+1.83.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

From the graph, the coordinate points are (1, 2.5) and (2.5, 3.5)

Here, slope m=(3.5-2.5)/(2.5-1)

= 1/1.5

= 0.67

Substitute m=0.67 and (x, y)=(1, 2.5) in y=mx+c, we get

2.5=0.67+c

c=1.83

Substitute m=0.67 and c=1.83 in y=mx+c, we get

y=0.67x+1.83

Therefore, the function represent the given graph is f(x)=0.67x+1.83.

To learn more about the equation of a line visit:

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Answer:

-55 I believe

Step-by-step explanation:

Answer:

= 105(x+2)/33-x

Step-by-step explanation:

Given the expression

[3(x+2)*10*7]÷70 - 2(x+2)

= 3(x+2)*70÷70 - 2(x+2)

= 210(x+2)/70-2x-4

= 210(x+2)/66-2x

= 210(x+2)/2(33-x)

= 105(x+2)/33-x

It lies in first quadrant as it is in the form (+,+).

Answer:

m = 35

Step-by-step explanation:

2m + m -15 = 90

3m -15 = 90

     +15  +15

3m = 105

/3     /3

m = 35

To check the work just insert 35 for m:

2(35) + 35 -15 = 90

70 + 35 -15 = 90

105 - 15 = 90

90 = 90

Given:

One of the legs of a right triangle is 9 cm.

The area of the triangle is 225 cm².

To find:

The length of the other leg.

Solution:

The area of a triangle is

[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]

The area of a right triangle is

[tex]Area=\dfrac{1}{2}\times (leg_1)\times (leg_2)[/tex]

Let x be the length of other leg.

[tex]225=\dfrac{1}{2}\times (9)\times (x)[/tex]

[tex]2\times 225=9x[/tex]

[tex]\dfrac{450}{9}=x[/tex]

[tex]50=x[/tex]

Therefore, the length of the other leg is 50 cm.

Answer:

Percent error = 4.29%

Step-by-step explanation:

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

[tex] Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100[/tex]

Given the following data;

Experimental value = 67

Theoretical value = 70

Substituting into the equation, we have;

[tex] Percent \; error = \frac {67 - 70 }{ 70} *100[/tex]

[tex] Percent \; error = \frac {3}{70} *100[/tex]

[tex] Percent \; error = 0.04286 *100[/tex]

Percent error = 4.29%

3 and 4 is the lcd

lcd means least common factor

simpleest it ¾ the answer

Answer:

3/4 hope its helpssssssss

Answer: 89.18

Explanation:none your welcome

Answer:

es igual a 111.111.111.011

Answer:

These are the answers.

Step-by-step explanation:

Answer:

9 : 1

Step-by-step explanation:

Let the correct answers be denoted by C.

Let the incorrect answers be denoted by I.

Given the following data;

Correct answers = 45 answers

Incorrect answers = 50 - 45 = 5 answers

Ratio of correct to incorrect answers;

C : I = 45 : 5

Dividing by 5, we have;

C : I = 9 : 1

Answer:

5/24(11x+28)

Step-by-step explanation:

Answer:

25.9

Step-by-step explanation:

If a tree casts a shadow 21 m long. Then the height of the tree will be 25.9 meters.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

A tree casts a shadow 21 m long.

The angle of elevation of the sun is 51°.

Let h be the height of tree.

Then the height of the tree will be

tan 51° = h / 21

        h = 25.93 m

More about the right-angle triangle link is given below.

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Answer: z

=

0.375

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation:

Answer:

The perpendicular line is:

y = 1/3  x + 2/3

Step-by-step explanation:

The given equation can be reduced to its slope-intercept form as shown below:

3x + 9y = 8y - 2

subtract 8 y from both sides

3 x + y = -2

subtract 3 x from both sides

y = - 3 x -2

therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3

We use this slope to find the equation of the line passing through the point (13. 5)

y = 1/3 x + b

passing through (13, 5) means:

5 = 1/3 (13) + b

therefore, we can find b from the above equation

b = 5 - 13/3 = 15/3 - 13/3 = 2/3

Then the equation of this perpendicular line is:

y = 1/3  x + 2/3

Answer:

2. 4 meters long

Step-by-step explanation:

0. 6 times 4 equals 2. 4

Answer:

kaylas thinking of the number 414

Step-by-step explanation:

414 is divisable by 18 (414 divided by 23)

414 is palindrome

414 is one less than a multiple of 5 (415)

Answer:

414

Step-by-step explanation:

The last digit must be 4 or 9 since it is one less than a multiple of five. Then, it says the number must be divisible by 18, and 18 = 2x9. Only 4 is divisible by 2, so four must be the last digit. Since it's a palindrome, the first digit must also be four. Since it also has to be divisible by nine, 4 + 4 = 8, and 8 + 1 = 9.

Answer:

there are two bases and three sides/faces.