What is the area of the composite figure?

500

490.62

245.31

745.31

Answer:

B

Step-by-step explanation:

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:

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)

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:

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:

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

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:

Step-by-step explanation:

v(x)=12-2x-5

v(-2)=12-2(-2)-5

      =11

v(0)=12-2(0)-5

     =7

v(5)=12-2(5)-5

     =-3

Answer:

May be the answer is 5 . I don't think it's the answer .

Answer:

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

The mathematical expression represents C(x(y)) will be C(x(y)) = 70y + 325. Then the correct option is B.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The daily cost of manufacturing x comic books at a small custom printing shop is C(x) = 2x + 325, and the number of comic books assembled in y hours is x(y) = 35y.

The composition function, C(x(y)), identifies the cost of assembling comic books in a y-hour day.

Then the mathematical expression represents C(x(y)) will be

C(x(y)) = 2(35y) + 325

C(x(y)) = 70y + 325

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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.

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]

Using proportions, the amount of money that Sam would need each month to pay his bills is of:

b. at least $425.32.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, his annual social security benefit is of 42% of $37,991, hence:

A = 0.42 x 37991 = $15,956.22.

Hence the monthly amount is given by:

M = 15956.22/12 = $1,329.68

He needs $1,755 monthly, hence the amount he needs is of at least:

An = 1755 - 1329.68 = $425.32.

Which means that option b is correct.

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Answer:

Step-by-step explanation:

5x-2y-12=0

5x-2y+12-12=0+12

5x-2y=12

5x-5x-2y=12-5x

-2y=12-5x

(-2y)/-2=(12-5x)/-2

y=5/2x-6

slope= 5/2x up 5 over 2

y-intercept is -6

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:

(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:

16 muffins in each batch

Step-by-step explanation:

112/7=16

Answer:

A) F

B) B

C) C

Step-by-step explanation:

circle AB represents sectors

circle CD represent segments

circle EF represent arcs

Answer:

$41

Step-by-step explanation:

1 copy costs $0.041

If I need 1000 copies, I need to multiply

$0.041 × 1000 = $41

1000 copies will cost $41

Answer:

  $41

Step-by-step explanation:

The cost of 1000 copies is 1000 times the cost of 1 copy.

  1000 × $0.041 = $41.00

The cost to make 1000 copies is $41.

Answer:

x = -4/3

Step-by-step explanation:

4 - 2x = x + 8

4 - 3x = 8

-3x = 4

x = -4/3

Answer:

108 m²

Step-by-step explanation:

Area of the figure :

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: its 50

Step-by-step explanation:

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]

Answer:

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

[tex]\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}[/tex]

[tex]\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}[/tex]

Given:

[tex]\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}[/tex]

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

    1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will not come over the top of the container.

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:

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

Answer:

500 ÷ 3650 = 0.13698630136986 = 13.698630136986%