Find the GCF of the set of numbers 12 30
Find the GCF of the set of numbers 12 30 - 1

Answers

Answer 1
Answer:

Answer:

D. 6

Step-by-step explanation:

GCF means greatest common factor, so if you test out all of the answers, the factors you come up with is 2 and 6. Since 6 is larger, that is your answer.

Answer 2
Answer:

Answer: the answer is 6

Step-by-step explanation:


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Which number line represents the solutions to |x + 4| = 2?

Answers

Answer:

The solution is represented by  the first number line, wich has the solutions x=-6 and x=-2.

Step-by-step explanation:

We have an absolute value function for the equation. This means that we should have two differents solution in the real number line. As the equation is

|x+4|=2

when we clear out the absolute value, we will have two possible solutions:

x+4=2

and

-(x+4)=2

now we clear x from both equations

x+4=2 \Leftrightarrow x=2-4 \Leftrightarrow x=-2

-(x+4)=2 \Leftrightarrow -x-4=2 \Leftrightarrow -2-4=x \Leftrightarrow x=-6

Then, we have that x=-2 and x=-4 are the solutions for the equation, and therefore the number line that represents the solution is the first one, where the points -6 and -2 are highlighted.

the first number line

given | x + 4 | = 2

removing the bars from the absolute value gives

x + 4 = 2 or x + 4 = - 2

x = 2 - 4 or x = - 2 - 4

x = - 2 and x = - 6 ← solutions

these are indicated on the number line by a solid circle at - 2, - 6


Find AC
What Is The Equation To AC?

Answers

Given:

Given that ABC is a right triangle.

The length of AB is 7 units.

The measure of ∠A is 65°

We need to determine the length of AC

Length of AC:

The length of AC can be determined using the trigonometric ratio.

Thus, we have;

cos \ \theta=(adj)/(hyp)

Where the value of \theta is 65° and the side adjacent to the angle is AC and the side hypotenuse to the angle is AB.

Substituting the values, we have;

cos \ 65^(\circ)=(AC)/(AB)

Substituting AB = 7, we have;

cos \ 65^(\circ)=(AC)/(7)

Multiplying both sides by 7, we get;

cos \ 65^(\circ) * 7=AC

  0.423 * 7=AC

        2.961=AC

Rounding off to the nearest hundredth, we get;

2.96=AC

Thus, the length of AC is 2.96 units.

Write an equivalent expression by distributing the "-−" sign outside the parentheses:-(9v+6.3w-3.3)

Answers

Answer:

parethses is expressed of the sign air water land etc

Step-by-step explanation:

16x - 10y = 10
-8x - 6y = 6

Answers

Answer:

x=0 y=-1

Step-by-step explanation:

16x-10y=10

-8x-6y=6 *2  -16x-12y=12

16x-10y=10

-16x-12y=12

-22y=22 Add it together

y=-1

-8x-(6*(-1))=6

-8x+6=6

x=0

PLEASE HELP!!!Aidan is 5.5 ft tall and casts a shadow that is 9 ft long. He notices that a nearby tower casts a shadow that is 305 ft long.
What is the height of the tower (h)?

Answers

The height of the tower (h) is approximately 186.4 feet.

What is the height (h) of the tower?

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

Given the data in the quesion;

  • Aidan's height = 5.5ft
  • length of Aidan's shadow = 9ft
  • height of the tower = ?
  • length of the tower's shadow = 305ft

We can set up a proportion to solve for the height of the tower:

Aidan's height / length of Aidan's shadow = height of the tower / length of the tower's shadow

Plugging in the values we know, we get:

5.5 / 9 = h / 305

To solve for h, we can cross-multiply and simplify:

9h = 5.5 × 305

9h = 1667.5

h = 1667.5 / 9

h = 186.4 ft

Therefore, the value of h is 186.4 feet.

Learn more about ratio here: brainly.com/question/30061012

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Simplify the expression 8^2 + 9 (12/3 x 2)-7. Explain each of your steps

Answers

Answer:

8^(2) +9. ((12)/(3) . 2) -7 = \n \n16+9. (24)/(3) -7\n \n16+72 -7 = 81

Step-by-step explanation:

In order to resolve correctly this combined calculation, we need to resolve it in order:

First, the operation in parenthesis. Secondly,  the powers. Then multiplications and divisions, and after all, substraction and adittion.

So, we first resolve the parenthesis: (12)/(3) . 2 =

We multiply 12 by 2, and 3 by 1.  The result is (24)/(3)

Then we resolve the powers:

8^(2) = 16

Thirdly, we resolve the multiplications:

9. (24)/(3) = 72

And finally, the addition:

16 + 72 - 7 = 81