Identify m∠C in the triangle shown.
Question 6 options:

A)

17°

B)

23°

C)

21°

D)

19°

Answer:

4x² + 28x + 49

Step-by-step explanation:

(x + x + 7)²

(2x+7)(2x+7)

4x² + 28x + 49

Answer:

[tex]Fence = 41.408ft[/tex]

Step-by-step explanation:

Given

[tex]d = 24ft[/tex]

Required

Determine the length of the wall

First, we calculate the circumference (C) of the semi-circle

[tex]C =\pi d[/tex]

[tex]C = 3.142 * 24[/tex]

[tex]C = 75.408[/tex]

The length of the fence is calculated by subtracting the diameter from the circumference:

[tex]Fence = C - d[/tex]

[tex]Fence = 75.408ft - 24ft[/tex]

[tex]Fence = 41.408ft[/tex]

Answer:

pretty sure its 700,000

Answer:

1/4 or 25%

Step-by-step explanation:

52 divided by 13 = 4

so 1/4 or 25%

Answer:

Step-by-step explanation:

a_1 = 15

a_2 = a_1  - 3

a_2 = 15 - 3

a_2 = 12

a_3 = a_2  - 3

a_3 = 12 - 3

a_3 = 9

a_4 = a_3 - 3

a_4 = 9 - 3

a_4 = 6

a_5 = 3

a_6 = 0                  I'm leaving these last two to expand

a_n = a1 - (n - 1)*d

a_n = 15 - (n - 1)*3

a_n = 15 - 3n + 3

a_n = 18 - 3n

Example

a_6 = 18 - 3*6

a_6 = 0

Problem B

t(1) = 108

t(1 + 1) = 1/3 * 108

t(2) = 36

t(3) = 1/3 * t2

t(3) = 1/3 * 36

t(3) = 12

t(4) =1/3 (t(3))

t(4) = 1/3 * 12

t(4) = 4

t(5) = t4 / 3

t(5) = 4 / 3

t(5) = 1.3333333

So the explicit definition is

t(n) = 108 (1/3)^(n - 1)            You could simplify this a little bit by realizing that 108 is made of three 3s.

t(n) = 4 * 3^3 * (1/3)^(n - 1)

t(n) = 4 * (1/3) ^ (n - 4)

Example

t(5) = 108 (1/3)^4

t(5) = 108(1/81)

t(5) = 1.3333333

And using the simplified formula, you get.

t(5) = 4 * (1/3)^1

t(5) = 1.333333 which is the same thing as the original result.

Answer:

see explanation

Step-by-step explanation:

(a)

Using the recursive rule and a₁ = 15 , then

a₂ = a₁ - 3 = 15 - 3 = 12

a₃ = a₂ - 3 = 12 - 3 = 9

a₄ = a₃ - 3 = 9 - 3 = 6

The sequence is 15, 12, 9, 6, ....

This is an arithmetic sequence with n th term ( explicit rule )

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 15 and d = - 3 , then

[tex]a_{n}[/tex] = 15 - 3(n - 1) = 15 - 3n + 3 = 18 - 3n

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

(b)

Using the recursive rule and t₁ = 108 , then

t₂ = [tex]\frac{1}{3}[/tex] t₁ = [tex]\frac{1}{3}[/tex] × 108 = 36

t₃ = [tex]\frac{1}{3}[/tex] t₂ = [tex]\frac{1}{3}[/tex] × 36 = 12

t₄ = [tex]\frac{1}{3}[/tex] t₃ = [tex]\frac{1}{3}[/tex] × 12 = 4

The sequence is 108, 36, 12, 4, ......

This is a geometric sequence with n th term

[tex]t_{n}[/tex] = t₁[tex](r)^{n-1}[/tex]

where t₁ is the first term and r the common ratio

Here t₁ = 108 and r = [tex]\frac{1}{3}[/tex] , then

[tex]t_{n}[/tex] = 108 [tex](\frac{1}{3}) ^{n-1}[/tex]

Answer:

(9 × 3x+7) - (5 × x+2)

Step-by-step explanation:

Red area

9 × 3x + 7

white area

5 × x+2

Answer:

The area of the circle with a radius of 5 cm is 78.5 cm2.

Step-by-step explanation:

Answer:

19.635

Step-by-step explanation:

diameter=2r

area of a circle is (pi)r2

d=5

r=5/2

pi(5/2)^2

pi(25/4)

19.635

hope that helps :)

Answer:  C. the height is the same in both solids.

Reasoning:

The diagram shows the height of each solid is 3 feet, so they are the same.

Answer:  C. the height is the same in both solids.

Reasoning:

The diagram shows the height of each solid is 3 feet, so they are the same.

Answer:

40

Step-by-step explanation:

26 is 65% of 40

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{125y^9z^6}\\ \\ \sqrt[3]{5^3(y^3)^3(z^2)^3}\\ \\ 5y^3z^2[/tex]

Answer:

[tex]5 {y}^{3} {z}^{2} [/tex]

Answer:

40%

Step-by-step explanation:

Ok so my brain is sorta not working but it said "hey! 20 divided by 2 is 10!"

So I was like ight and divided 80 by 2 to to get 40%.

Hope this helps.

Answer:

a. 125

b. 25/64

c. 0.25

d. 343

e. 49/4

f. 0.81

Step-by-step explanation:

multiply by the same number by the amount of times the power tells you

b. 5*5 = 25         8*8= 64

c. 5*5 = 25         0.5*0.5 = 0.25

d. 7*7*7 = 343

e. 7*7 = 49         2*2= 4

f. 9*9 = 81        0.9*0.9= 0.81

Answer:

b is the answer of this question

Answer:

2

Step-by-step explanation:

Answer:

0.0062137124 miles per second

Step-by-step explanation:

Answer:

g<12

Step-by-step explanation:

4g+12<60

Subtract 12 from both sides.

4g<60−12

Subtract 12 from 60 to get 48.

4g<48

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

g<48/4

Divide 48 by 4 to get 12.

g<12

34.76

o

, nearly.

Explanation:

Angle of elevation = arc tan( (vertical height)/(length os the shadow)).

Here, this angle is

arc tan (12.5

/

18) =

34.78

o

, nearly

[tex]\huge\text{Hey there!}[/tex]!

[tex]\large\text{8x = 32}[/tex]

[tex]\large\text{DIVIDE 8 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{8x}{8} = \dfrac{32}{8}}[/tex]

[tex]\large\text{Cancel out: } \mathsf{\dfrac{8}{8}}\large\text{ because that gives you } \mathsf{1}[/tex]

[tex]\large\text{Keep: }\mathsf{\dfrac{32}{8}}\large\text{ because it helps us solve for }\mathsf{x}[/tex]

[tex]\mathsf{\dfrac{32}{2}\ = x \ or\ x = \dfrac{32}{8}}[/tex]

[tex]\mathsf{\dfrac{32}{8} = 32\div 8 \rightarrow \bf 4}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf x = 4}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

8

Step-by-step explanation:

How many more unit tiles must be added to the function

f(x)=x²-6x+1 in order to complete the square?

The easier, but usually not viable way: If we look at how many more tiles need to be added, we can see that each smaller sides is 1 unit. Thus, we need 8 more tiles to complete the square.

However, this is just an educated guess. If we didn't have a diagram or it was drawn badly, we would be wrong. Let's solve it algebraically.

Note:

completing the square is changing a quadratic equation (the format is

ax² + bx + c = 0)into a(x - d)² + e = 0. (an example of this is (a + b)² or (a - b)²)

This may be confusing, but look at an example:

x² + 4x + 4 = (x + 2)²

Also note that, (a - b)² = a² - 2ab + b²

If we substitute a = x, then we get:

x² - 2bx + b².

Now, all we need to do is find b.

If we know that 2bx = 6x, then we can divide both sides by 2x and get an answer of

2bx = 6x

b = 3.

Thus, b is 3.

Remember, to complete the square, we need to find b², which is

3² = 9.

Then, because they already give us a "1", we just need to add 9-1 = 8 more units.

Just in case, let's check the answer.

If we add 8 to the problem, we get:

x² - 6x + 1 + 8 =

x² - 6x + 9

As you can see, this follows the a² - 2ab + b² format, so we can factor it.

x² - 6x + 9 = (x - 3)²

This is a completed square. Thus, we need to add 8 more unit tiles.

We need to add 9 to the expression to complete the square.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To complete the square for the given function f(x) = x² - 6x + 1, we need to add a constant term that will make the expression a perfect square trinomial.

We can find this constant term by taking half of the coefficient of x and squaring it.

Half of -6 is -3, and (-3)² = 9.

So we need to add 9 to the expression:

f(x) = x² - 6x + 1 + 9

= (x - 3)² + 1

This expression is now a perfect square trinomial.

Thus,

We need to add 9 to the expression to complete the square.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

try to add the all up then divide by 3

Answer:

She has 24 dog toys

Step-by-step explanation:

8x3=24

Answer:

What is the geometric sequence?

Step-by-step explanation:

Answer:

y=-x+2

Step-by-step explanation:

y-(-1)=-1(x-3)

y+1=-1x+3

y=-1x+3-1

y=-1x+2

Answer:

No se No se No se No se nose

Answer:

angle 2 and angle 10 - corresponding angles

angle 8 and angle 7 - linear pair

angle 1 and angle 5 - alt. exterior

angle 15 and angle 14 - consecutive interior

angle 12 and angle 6 - alt. interior

angle 16 and angle 10 - vertical

Answer:

1

Step-by-step explanation:

25 - 18.75 = 6.25

6.25 - 4.75 = 1.50

he won't have any more money left

Answer:

1

Step-by-step explanation: So first you

Answer:

36 degrees

Step-by-step explanation:

Subtract 54 from 90

Answer:

36

Step-by-step explanation:

a+b=90

if a=54 then insert a back into a+b=90

54+b=90

subtract the equation by 54

54-54+b=90-54

b=36

Hope that helps :)