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Answer: 2.18

Step-by-step explanation:

Angle B= 180- (Angle A + Angle C)

= 180- (70+90)

= 180-160=20

((sin A)/BC)=((sin B)/AC)

((sin 70)/6)=((sin 20)/AC)

(0.9/6)=(0.3/AC)

AC= (6*0.3)/0.9

AC= 2.18

Answer:

7. y=x-2, 8. y=3/2x+4, 9.  y=-3/4x+8, 10. y=2x-7, 11. y=-5x-3, 12. y=4x-5,             13. y=-3x-1, 14. y=-1/2x+1, 15. y=3/2x+4

Step-by-step explanation:

First you have to plug in the points into y2-y1/x2-x1. This would make it      -2-0/0+1. Simplify this to get -2/1 which is -2. This makes the slope -2. Then plug in the slope into point intercept form y-y1=m(x-x1) where m is the slope. This time, I will use the point (0,-2). Therefore, the equation will be y+2=1(x-0) which is equal to y+2 =x-0 which is equal to y=x-2.

This is how you do all of the problems. For problem 13-15, you know that f(0)=-1 is (0,-1) and f(3)=-10 is (3,-10). Then you can solve the problems. I will not explain every single problem but will give you the answers.

Answer:

approximately 17.3 years

Step-by-step explanation:

Compound interest is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

The formula used to find continuously compounded is:

t = log (A/P) / r

The time it will take to double her money is 17.329 years.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $5,000

r = 4%

Amount = 2 x 5000 = $10,000

n = infinite number of times.

Now,

Solve the equation for t

The formula used to find for continuously compounded is:

t = log (A/P) / r

t = log (10,000.00/5,000.00) / 0.04

t = 17.329 years

Thus,

The time it will take to double her money is 17.329 years.

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Answer:

The answer is 15

Step-by-step explanation:

See, if you divide 75 by 5 you get 15.

HOPE THIS HELPED!!

Answer:

Step-by-step explanation:

d^2=h^2+w^2

a)

w^2=42^2-h^2, h=21

w^2=1764-441

w^2=1323

w=36.373

b)

36.373+2(2) by 21+2(2)

w=40.373, h=25

Answer: boi

Step-by-step explanation:

Bir tam sayı ve bir basit kesir ile ifade edilen kesirlere taam sayılı kesir denir.

Answer:

The two supplementary angles are 10 and 170 degrees.

Step-by-step explanation:

Two angles are supplementary when that add up to 180 degrees. In this case, we are given that one of the two angles is 160 degrees more than the other. We can construct the following equation. x + ( x + 160 ) = 180 x

represents the degree measure of the smaller angle. Now, all we need to do is solve the equation for x. 2 x + 160 = 180    2 x = 20 x = 10

Now that we have the value of the smaller angle, we can easily solve for the larger angle. We are told that it is 160 degrees larger than the other one.

10 + 160 = 170. Therefore, the two supplementary angles are 10 and 170 degrees.

Answer:

3:2:1

Step-by-step explanation:

24 divided by 8 is 3, 16 divided by 8 is 2, 8 divided by 8 is 1.

Answer:

Acute

Step-by-step explanation:

Step-by-step explanation:

Its the number two. 903 in to the power of 3

Answer:

[tex]\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle (2x + \frac{5}{2})(x - 1)[/tex]

Step 2: Expand

Answer:

1/16

Step-by-step explanation:

-2^-4 = 1/(-2)^4

5^0 = 1

1/(-2)^4 = 1/16

Step-by-step explanation:

ACD=ACB

DAC=BAC

2x=3x-29

x=29°

2x= 58°

ACD= 58°

ACB= 58°

DAC= 180-90-58= 32°

BAC= 32°

Answer:

hello pero no hablo inglés ._.

Answer:

D: x ≥ -2

Step-by-step explanation:

The arrow points to the right on the number line, meaning the inequality uses the greater than sign.

The solid point at -2 means that -2 is included in the solution for x.

So, the final inequality is x ≥ -2.

Answer:

At least 13 muffins and at most 16 muffins

Answer:

2 * 2 * 2 * 2 * 2 * 2

4 * 16

8 * 8

Step-by-step explanation:

Power is the result of multiplying two numbers together. The correct option is 2×2×2×2×2×2, 4×16, and 8×8.

Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

The given expression can be written as,

2⁶ = 2 × 2 × 2 × 2 × 2 × 2

   = 4 × 16

   = 8 × 8

Hence, the correct option are 2×2×2×2×2×2, 4×16, and 8×8.

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Answer:

If Step is 53 = 477 then no solution exist

If Step is 53 x = 477 then there exist a unique solution x = 9

Step-by-step explanation:

Given - Ramon solves a linear equation. One of the steps in his work is

             53 = 477

To find - Which of these describes the solution to the equation that Ramon

              solves?

Proof -

As given, One of the steps in his work is 53 = 477

There are 2 cases possible -

Case I:

If his step is 53 = 477

Then, the equation has no solution because 53 ≠ 477

Case I:

If his step is 53 x = 477

Then, the equation has a solution because x = [tex]\frac{477}{53}[/tex] = 9

⇒The equation has a solution of x = 9.

Answer:

D,

okie dokie yoo

Answer:

yes you may use the answer will be 100% correct

Answer:

b = 12 m, h = 6 m

Step-by-step explanation:

A=1/2bh

36=1/2bh

Plug in the first values

36=1/2(12)(6)

36=6*6

36=36

Answer:

it is 519020

Step-by-step explanation:

Answer:choice b

Step-by-step explanation:

Answer:

The 3rd one

Step-by-step explanation:

Answer:

The second net.

Step-by-step explanation:

The correct equation for the triangle is,

⇒ DF ≅ FD

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

By the figure, the coordinate of triangles are,

D = (- 5, 1)

E = (- 2, 3)

F = (- 3, - 2)

Hence, By using distance formula;

DE = √ (- 5 + 2)² + (1 - 3)²

     = √9 + 4

     = √13

EF = √ (- 2 + 3)² + (3 + 2)²

     = √1 + 25

     = √26

FD = √ (- 5 + 3)² + (1 + 2)²

     = √4 + 9

     = √13

Thus, We have;

⇒ DF ≅ FD

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The solution is 32 1/3 , 33 1/3 and 34 1/3

The three consecutive numbers which have a sum of 100 is given by the equation A = 32 1/3 + 33 1/3 + 34 1/3

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be = n

Let the second number be = n + 1

Let the third number be = n + 2

So , the sum of all the three consecutive numbers is 100

Substituting the values in the equation , we get

n + ( n + 1 ) + ( n + 2 ) = 100   be equation (1)

On simplifying the equation , we get

3n + 3 = 100

Subtracting 3 on both sides of the equation , we get

3n = 97

Divide by 3 on both sides of the equation , we get

n = 32 1/3

So , the first number n = 32 1/3

Second number = n + 1 = 33 1/3

Third number = n + 2 = 34 1/3

Therefore , A = 32 1/3 + 33 1/3 + 34 1/3 = 100

Hence , The three consecutive numbers which have a sum of 100 is given by the equation A = 32 1/3 + 33 1/3 + 34 1/3

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Answer:

X< - 1

Step-by-step explanation: