Activity 1 Lesson 1 Patterns, Sequences, and Rules

Answer:

40.81125m²

Step-by-step explanation:

Hello!

Step 1: Rectangle

We can find the area of the rectangle by multiplying the base by the height.

Step 2: Area small semicircles

If we add the two semicircles, we can see that it's actually 1 whole circle.

So we can simply find the area of the whole circle.

radius = 1/2 * diameter

Step 3: Large semicircle

Now for the last part, the large semi-circle at the top.

Since it's half a circle, we can manipulate the formula by finding half of it.

Step 4: Total Area

Total area = 10m² + 3.14m² + 9.8125m²

                 = 40.81125m²

Answer:

$0.45

Step-by-step explanation:

To answer this question, we first have to subtract the delivery fee from the total cost:

1430 - 35 = 1395

Now, we divide this number by the total amount of candy bars:

1395 / 3100 = 0.45

So, each candy bar costs $0.45

Hope this helps :)

Each candy bar would be 45 cents

Answer:

62.8km/hr

Step-by-step explanation:

Given parameters:

Displacement  = 220km due north

Time taken = 3.5hrs

Unknown:

Velocity in km/hr = ?

Solution:

Velocity is the rate of displacement per unit of time. This physical quantity is a vector which has both magnitude and directional attributes.

 So, mathematically;

           Velocity  = [tex]\frac{displacement}{time taken}[/tex]

Insert the parameters and solve;

          Velocity  = [tex]\frac{220}{3.5}[/tex]   = 62.8km/hr

Answer:

5.8

Step-by-step explanation:

[tex]\sqrt{5^{2} +( -3)^{2} }[/tex]

[tex]\sqrt{25 + 9}[/tex]

[tex]\sqrt{34}[/tex]

5.83

Answer:

A 13°

Step-by-step explanation:

We need to know the measure of angle LMN.

The angle measures of a triangle add up to 180°.

MLN=15°

LNM=180-28=152° (LNM and MNP are supplementary, meaning they add up to 180°)

LMN=15+152=167 180-167=13

Hope this helps :-)

Answer:

x = -4

Step-by-step explanation:

-2x - 5 = 3

Add 5 to both sides

-2x - 5 + 5 = 3 + 5

Simplify

-2x = 8

Divide both sides by -2

-2x/-2 = 8/-2

Simplify

x = -4

Answer:

25.74 ?

Step-by-step explanation:

See picture for math work and answer.

Answer:

if jhonny had one apple how many apple does the chicken have in the basement across the road in his house under the bed??

Step-by-step explanation:

Answer:

250/100 x 72 = 180

She has completed 180 invitations

Step-by-step explanation:

Decimal multiplication problem:

250 x 0.72 = 180

0

Simplify trigonometry:

[tex]\frac{cos\ \pi+sin(\frac{\pi}{4})}{sec\ (\frac{\pi}{4})}+\frac{tan(\frac{\pi}{4})-cos\ 0}{cos\ (\frac{\pi}{4})}[/tex]

Evaluate the expression

[tex]\frac{-1+sin(\frac{\pi}{2})}{sec\ (\frac{\pi}{4})}+\frac{tan\ (\frac{\pi}{4})-cos\ 0}{cos\ (\frac{\pi}{4})}\\ \frac{-1+1}{sec\ (\frac{\pi}{4})}+\frac{tan(\frac{\pi}{4})-cos\ 0}{cos(\frac{\pi}{4})}\\ \frac{-1+1}{\sqrt2}+\frac{tan(\frac{\pi}{4})-cos\ 0}{cos\ (\frac{\pi}{4})}\\ \frac{-1+1}{\sqrt2}+\frac{1-cos\ 0}{cos\ (\frac{\pi}{4})}\\ \frac{-1+1}{\sqrt2}+\frac{1-1}{cos\ (\frac{\pi}{4})}\\ \frac{-1+1}{\sqrt2}+\frac{1-1}{\frac{\sqrt2}{2}}[/tex]

Apply the Inverse Property of Addition

[tex]\frac{0}{\sqrt2}+\frac{0}{\frac{\sqrt2}{2}}[/tex]

Apply Zero Property of Multiplication

[tex]0[/tex]

I hope this helps you

:)

Step-by-step explanation:

[tex]x + 4 \geqslant 7 \\ x \geqslant 7 - 4 \\ x \geqslant 3[/tex]

[tex]x - 4 \geqslant - 1 \\ x \leqslant - 1 + 4 \\ x \leqslant 3[/tex]

Answer:

It costed $1200

Step-by-step explanation:

First Month Saved 1/3 of total cost

Second Month (1/3 of total cost) - 125

Third Month 525

525-125= 1/3 of total (If she saved the same amount the second month as the first month, then she's already saved 2/3 of the money)

400 = 1/3 of total cost

3X400=1200

Set _2__ is a _4__ of set __6_.”

It can be deduced that the triangles are similar because the three internal angles are equal for both triangles.

It should be noted that the triangles are similar because the three internal angles are equal.

In this case, the ratio of the corresponding sides are equal and the corresponding angles are congruent.

The width of the river will be:

300/80 = AB/50

AB = (300 × 50)/80

AB = 187.50 feet.

Learn more about triangles on:

https://brainly.com/question/17335144

Answer:

Step-by-step explanation:

9.6×10^9=96/10 ×10^9=96×10^8=9,600,000,000

Answer:

y = -4/5x + 3

Step-by-step explanation:

Chose any two points on the line:

(5, -2)

(-5, 6)

Slope = (y2 - y1) / (x2 - x1)

6 -(-2) / -5 - 5

8 / -10

-4/5

Equation:

y = mx + b

Plug in x and y using any coords and then plug in m (the slope):

-2 = -4/5 * 5 + b

-2 = -20/4 + b

-2 = -5 + b

Add 5 on both sides:

3 = b

Now our equation is:

y = -4/5x + 3

Please let me know if I've done something wrong!

Yes let's find

The fraction is

[tex]\\ \rm\Rrightarrow 13/2/3[/tex]

[tex]\\ \rm\Rrightarrow 13(3)/2[/tex]

[tex]\\ \rm\Rrightarrow 39/2[/tex]

Answer:

39/2 of the class are boys that wear glasses

Step-by-step explanation:

[tex]\dfrac23 \textsf{ of the class are boys.}[/tex]

[tex]\textsf{If 13 of them wear glasses, then} \dfrac{13}{\frac23}} \textsf{ wear glasses.}[/tex]

[tex]13 \div \dfrac23 =13 \times \dfrac32=\dfrac{39}{2}[/tex]

Answer:

145

Step-by-step explanation:

Because what you want to do is add 260 to 182 then subtract from 587. I hope that helped! :)

Answer:

albert 2500:3000 mark/÷100

25÷30 /÷5

5:6

their ratio is 5:6

Answer:You are correct but you need to shade in one more square.

Step-by-step explanation:

Answer:you got it right dude shade in 5 tho

Answer:

Honestly, I feel you. I've been there. Being the new kid not also brings problems related to your character, but to your feelings. I totally think you're smarter than all your other classmates! :D. Keep being yourself and never let them bring you down. If you fall down and don't feel like getting back up, remember this message!

- Benji :)

Answer:

They may not know very much about you and assume things about you based on things they see and perceive that are separate from the grades that you get and/or they think you aren't intelligent on something to do with your emotions/behavior and/or someone or some amount of people have developed something against you, these are just potential situations.

Step-by-step explanation:

Regardless of what the reason is, move forward with what you do and meet people who enjoy your company. Those who treat you badly are not worth your time. Best of luck!

Answer:

=> The answer is 16

Step-by-step explanation:

Given :

a = -2

b = 3

c = -1

Answer:

2

Step-by-step explanation:

substitute the given values into the expression

[tex]\sqrt[4]{(3-(-2))(\frac{-2(3)^2(-1)}{3+3})+1 }[/tex]

= [tex]\sqrt[4]{(3+2)(\frac{18}{6})+1 }[/tex]

= [tex]\sqrt[4]{5(3)+1}[/tex]

= [tex]\sqrt[4]{16}[/tex]

= 2

Answer:

22.50

Step-by-step explanation:

Hat = $18

Austin - 6 letters

0.75 x 6 = 4.5

Letters cost $4.50

18 + 4.5 = 22.5

He'll have to pay 22.50 dollars.

Hope this helps!

Answer:

K

Step-by-step explanation:

Answer:

The answer is 14/5

Step-by-step explanation:

I Hope this helps

Answer:

a)

Step-by-step explanation:

Cost function = revenue function - profit function

   = -0.3x² + 150x - [-0.5x² + 250x - 300]

   = -0.3x² + 150x + 0.5x² - 250x +300

  = -0.3x² + 0.5x² + 150x - 250x + 300   {Combine like terms}

  = 0.2x² - 100x + 300

Answer:

4m^2-12m+9

Step-by-step explanation:

[tex](2m -3)^2[/tex]

[tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2[/tex]

[tex]\left(2m-3\right)^2=\left(2m\right)^2-2\cdot \:2m\cdot \:3+3^2[/tex]

[tex]=\left(2m\right)^2-2\cdot \:2m\cdot \:3+3^2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]=4m^2-12m+9[/tex]

~Learn with Lenvy~

Answer:

[tex] \bf \longrightarrow \: ( {2m - 3)}^{2} [/tex]

Using Identity

Let,

a = 2m

b = 3

Now

[tex] \sf \longrightarrow \:(2m) {}^{2} + {3}^{2} - 2(2m \times 3) \\ \\ \\ \sf \longrightarrow \:4 {m}^{2} + 9 \: - 2(6m) \\ \\ \\ \sf \longrightarrow \:4 {m}^{2} + 9 \: - 12m[/tex]

Therefore,