The circle below is centred at O.
AB is a tangent to this circle.
Work out the size of angle y.
Justify your answer.
O
42°
y
A
B
Not drawn accurately

Answer:

Anwer is (z.50)+(z.2) since expanding it is z.52

Answer:

[tex]\large\begin{cases}a_1=5 \\a_n=a_{(n-1)}-4\end{cases}[/tex]

Step-by-step explanation:

Recursive formula allows us to find the value of a specific term based on the previous term.

Explicit formula allows us to find the value of a specific term based on its position.

Given explicit formula:  [tex]a(n)=5+(n-1)(-4)[/tex]

[tex]\implies a(1)=5+(1-1)(-4)=5[/tex]

[tex]\implies a(2)=5+(2-1)(-4)=1[/tex]

[tex]\implies a(3)=5+(3-1)(-4)=-3[/tex]

[tex]\implies a(4)=5+(4-1)(-4)=-7[/tex]

From inspection of the sequence, we can see that to get the next term, we need to subtract 4 from the previous term.

[tex]5 \underset{-4}{\longrightarrow} 1 \underset{-4}{\longrightarrow} -3 \underset{-4}{\longrightarrow} -7[/tex]

Therefore, the recursive formula is:

[tex]a_n=a_{(n-1)}-4[/tex]

For a recursive formula, we also need to give the value for [tex]a_1[/tex] .

Therefore, the final recursive formula for the explicit formula is:

[tex]\large\begin{cases}a_1=5 \\a_n=a_{(n-1)}-4\end{cases}[/tex]

Hey there!

ASSUMING

(3x)° + 45° = 180°

3x + 45 = 180°
SUBTRACT 45 to BOTH SIDES

3x + 45 - 45 = 180 - 45

SIMPLIFY IT!
3x = 180 - 45

3x = 135

DIVIDE 3 to BOTH SIDES

3x/3 = 135/3

SIMPLIFY IT!

x = 45°

Therefore, the answer should be:

x = 45

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Given:

To solve:

(3x)°+45°=180°

First, subtract by 45 from both sides.

3x+45-45=180-45

Solve.

Subtract these numbers goes from left to right.

180-45=135

3x=135

Divide by 3 from both sides.

3x/3=135/3

Solve.

Divide these numbers from left to right.

135/3=45

[tex]\Longrightarrow: \boxed{\sf{x=45}}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

6.42 %

Step-by-step explanation:

Formula    FV = PV ( 1 + i)^n        i = periodic interest in decimal

                                                 FV = future value    PV = present value

                                                    n = periods ( years in this case)

3412.23 = 2500 ( 1 + i)^5

3412.23/2500  = (1+i)^5

1.364892 = (1+i)^5

1.0641 = 1+ i

i = .0642      or    6.42 %

Answer:

on the attached pdf

Step-by-step explanation:

Conic sections are shapes that are formed when the surface of a cone intersects with a plane shape

The types include

The parabola can be applied in solving quadratic equations, functions and graph.

The general equation of a parabola is: y = a(x - h)² +k

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Answer:

The answer is 15

Step-by-step explanation:

You just have to multiply angle BC times angle AC to have the answer because angle AB is verticle to angle BD.

SOLUTION

TO DETERMINE

84 as a product of primes.

Use index notation to write the number

EVALUATION

Here the given number is 84

We prime factorise the given number

84 = 2 × 2 × 3 × 7

Number of 2's = 2

Number of 3's = 1

Number of 7's = 1

Rewriting the given number in index form we get

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

The difference between face value and place value of 5 in 2,10,519

brainly.in/question/22495648

2. if one bee drinks 1ml honey then how much honey 1000 bees will drink??

Answer:

16 boys

Step-by-step explanation:

in ratio form girls are represented by 5 so if 5 equals to 20 what about 4 and that's how I got the answer good day.

Answer:

H and M

or

K and F

Step-by-step explanation:

Complementary angles = 90 degrees

Corners of a rectangle are 90 degrees

Pick the two angles that make up the 90 degree angle

Answer:

0.001

Step-by-step explanation:

Given (or we can find) :

First term : 216

Common ratio : 36/216 = 1/6

To find 8th term :

a₈ = ar⁸⁻¹

a₈ = (216)(1/6)⁷

a₈ = 216/279936

a₈ = 6³/6⁷

a₈ = 1/6⁴

a₈ = 1/1296

a₈ = 0.000771604938

a₈ = 0.001 (nearest thousandth)

Answer:

0.9 kg of chocolate and 2.1 kg of peanut butter

Step-by-step explanation:

Since we know Ms. G is making 3 kg of peanut butter cups we can remove one of the variables. I will say that p = (3 - c) since anything in the 3 kg that isn't chocolate is peanut butter.

We can now find the total cost of the peanut butter cups.

3kg * $9.55/kg = $28.65

We can now set up an equation to find how much chocolate was bought.

8.50(3 - c) + 12(c) = 28.65 | distributive property

25.5 - 8.5c + 12c = 28.65 | subtract 25.5 from both sides

3.5c = 3.15 | divide both sides by 3.5

c = 0.9

This means 0.9 kg of chocolate was bought. Now we can solve for the amount of peanut butter purchased.

p = (3 - c)
p = (3 - 0.9)

p = 2.1

This means 2.1 kg of peanut butter was bought.

That is the answer

- Kan Academy Advance

The true statement about the right rectangular prisms include:

It should be noted that a prism simply means a shape that has two identical shapes that face each other.

Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.

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Answer:

108 m²

Step-by-step explanation:

Area of the figure :

Answer: B) 0

[tex]\rightarrow \sf y = \dfrac{1}{2} x - 2[/tex]

insert x = 4

[tex]\rightarrow \sf y = \dfrac{1}{2} (4) - 2[/tex]

simplify

[tex]\rightarrow \sf y = 2 - 2[/tex]

subtract

[tex]\rightarrow \sf y = 0[/tex]

Answer:

44602.24 yd³

Explanation:

The given shape above is a sphere.  

[tex]\boxed{\sf Volume \ of \ sphere = \dfrac{4}{3} \pi r^3}[/tex]

Here given:

1) radius = 22 yards

Solve for Volume:

[tex]\implies \sf \dfrac{4}{3} \pi (22)^3 \ \ = \ \ 44602.2381 \ yd^3 \ \ = \ \ 44602.24 \ yd^3 \ \ (rounded \ to \ nearest \ hundreth)[/tex]

the answer is b

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Answer:

[tex]0.05cm {}^{3} [/tex]

Step-by-step explanation:

[tex]density \: is \: the \: mass \: per \: unit \: volume \: of \: an \: object \: \\ density = \frac{m}{v} \\ density = \frac{0.8}{16} = 0.05cm {}^{3} [/tex]

The greatest common factor of the numerator and denominator of the rational expression is x - 4

The fraction expression is given as:

[tex]\frac{5x-20}{x^2-2x-8}[/tex]

Factorize the numerator and the denominator

[tex]\frac{5x-20}{x^2-2x-8} = \frac{5(x-4)}{(x- 4)(x + 2)}[/tex]

Cancel out the common factor

[tex]\frac{5x-20}{x^2-2x-8} = \frac{5}{(x + 2)}[/tex]

The common factor that was canceled out is x - 4

Hence, the greatest common factor of the numerator and denominator of the rational expression is x - 4

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Answer: 8x-7y = 56

Step-by-step explanation:

Step-by-step explanation:

Question:-6x + 12 = 3+3x

Answer:- 6x + 12 - 3 - 3x=0

6x-3x+12-3=0

3x+9=0

3x=-9

x=-9/3

x=-3

Hope this helps you

Have a nice day

Answer:

x = -3

Step-by-step explanation:

6x + 12 = 3+3x

6x + (12-12) = (3-12)+3x

(6x-3x) = (3x-3x)-9

3x/3 = -9/3

X=-3

Answer:  Other animals

Step-by-step explanation:

Answer:

(6, 1) ⇒ y = 2/4x - 2

(-8, -0.8) ⇒ y = 3/5x + 4

(9, 0.7) ⇒ y = 3/10x - 2

(2, 7.4) ⇒ y = 1/5x + 7

Step-by-step explanation:

Let's substitute each pair in the equations to find the right one :

(6, 1)

⇒ 1 = 2/4 (6) - 2

⇒ 1 = 3 - 2

⇒ 1 = 1

⇒ Equation matched √

(6, 1) ⇒ y = 2/4x - 2

(-8, -0.8)

⇒ -0.8 = 1/5 (-8) + 7

⇒ -0.8 = -8/5 + 7

⇒ -0.8 = -1.6 + 7

⇒ -0.8 = 5.4

⇒ Incorrect equation ×

⇒ -0.8 = 3/5 (-8) + 4

⇒ -0.8 = -24/5 + 4

⇒ -0.8 = -4.8 + 4

⇒ -0.8 = -0.8

⇒ Equation matched √

⇒ (-8, -0.8) ⇒ y = 3/5x + 4

(9, 0.7)

⇒ 0.7 = 3/10 (9) - 2

⇒ 0.7 = 27/10 - 2

⇒ 0.7 = 2.7 - 2

⇒ 0.7 = 0.7

⇒ Equation matched √

⇒ (9, 0.7) ⇒ y = 3/10x - 2

(2, 7.4)

⇒ 7.4 = 1/5 (2) + 7

⇒ 7.4 = 2/5 + 7

⇒ 7.4 = 0.4 + 7

⇒ 7.4 = 7.4

⇒ Equation matched √

⇒ (2, 7.4) ⇒ y = 1/5x + 7

Answer:

B

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Answers:

[tex](f \circ g)\;(x) = 4x^2 - 12x + 6\\\\(g \circ f)\;(x) = 2x^2-9\\\\[/tex]

The domain for both is "all real numbers".

============================================================

Explanation:

The work is shown below in the attached image.

The domain for each composite function is the set of all real numbers because we don't have to worry about things like dividing by zero, or taking the square root of a negative number. Any x value is allowed.

Answer:

16 muffins in each batch

Step-by-step explanation:

112/7=16

Answer:

8

Step-by-step explanation

to find the scale factor you find out by how many times the numbers have gone bigger or smaller

7inches by 9inches

56inches by 72inches

7×8= 56

9×8=72

7 and 9 have changed 8 times more so the scale factor is 8

Including reaction time, the stopping distance is more than 20 feet at 10 miles per hour, at 20 miles per hour it will be about 63 feet.

The distance traveled while the driver sees a hazard and applies the brakes, as well as when the vehicle comes to a complete stop from its original speed, is included in the stopping distance.

We have:

Including reaction time, the stopping distance is more than 20 feet at 10 miles per hour

In this case, the stopping distance will be about 63 feet if the stopping distance is more than 20 feet at 10 miles per hour.

Thus, the including reaction time, the stopping distance is more than 20 feet at 10 miles per hour, at 20 miles per hour it will be about 63 feet.

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Answer:

Option b is the correct answer

Step-by-step explanation: