Trina is creating a small concrete sidewalk to from her driveway to her front door as seen below. Trina needs to figure out how much to budget for the
How much should Trina budget for concrete?
Use algebraic expressions to describe your steps to find the answer.

Answer:

The perimeter is 28.13 cm

Step-by-step explanation:

We connect a line from A to C

we can use the cosine rule to find the length AC

let us call it x

AC^2 = AB^2 + BC^2 - 2(AB)(BC) cos B

we have this as;

x^2 = 6^2 + 8^2 - 2(6)(8) cos 95

x^2 = 36 + 64 + 8.37

x^2 = 108.37

x = √108.37

x = 10.4 cm

AC = 10.4 cm

now, let us look at triangle ADC Where we have AC as the hypotenuse as it is the side facing the right angle

We can use Pythagoras’ theorem to get the value of CD

We have it that the square of the hypotenuse AC is the sum of the squares of the two other sides

let DC be y

10.4^2 = 5^2 + y^2

y^2 = 108.37 - 25

y^2 = 83.37

y = √83.37

y = 9.13 cm

The perimeter of the shape is the sum of all its sides

so we have;

AB + BC + CD + AD

= 6 + 8 + 9.13 + 5

= 28.13 cm

Answer:

There will still be 1.75 pounds of trash left

Step-by-step explanation:

Answer:

The answer is Battle of Midway

Step-by-step explanation:

Answer:

A.s<30

Step-by-step explanation:

We are given that

Number of students who ride in a bus=s

We have to find the inequality which represents the given situation.

According to question

s<30

A.s<30

It is true.

B.s>30

It is false because s is less than 30

C.[tex]s\geq 30[/tex]

It is false because s<30

D.[tex]s\leq 30[/tex]

It is false because s<30

Option A is true.

Answer:

Yes

Step-by-step explanation:

Answer: k=9

Step-by-step explanation:

Answer:

20% (I believe)

Step-by-step explanation:

If you divide 16 from 320 you should get 20, and 20% of 320 is 16! :3  (I really hope that this helps- I'm not the best at math ;w;)

Answer:

7

Step-by-step explanation:

765+2

Answer:

1:4

Step-by-step explanation:

every one space on the green triangle, is equal to four spaces on the red triangle.

Answer:

Point of contact  ( 3,6)

Step-by-step explanation:

Step(i):-

Given that the points are (1,2) and (6,12)

The ratio 2:3 divides the line segment

The line segment divides m:n externally

[tex](\frac{mx_{2}-nx_{1} }{m-n} ,\frac{mx_{2}-nx_{1} }{m-n} )[/tex]

Step(ii):-

(x₁, y₁) = (1,2) and (x₂, y₂)= (6,12) and m:n =2:3

[tex](\frac{2(6)+3(1) }{2+3} ,\frac{2(12)+3(2) }{2+3} )[/tex]

([tex](\frac{12+3}{5} ,\frac{24+6}{5} )[/tex]

([tex]\frac{15}{5} ,\frac{30}{5})[/tex]

(3 , 6)

Final answer:-

Point of contact  ( 3,6)

Answer:

x> or equal to 35. 36 is a solution.

Step-by-step explanation:

Answer:

[tex]x {}^{2} - 8x + 5 \\ = x {}^{2} - 8 x+ 5 + 11 - 11 \\ = x {}^{2} - 8x +16 - 11 \\ = (x - 4) {}^{2} - 11 \\ [/tex]

A is 4 and b is 11

Answer:

33.49

Step-by-step explanation:

just did that

Step-by-step explanation:

[tex] {81}^{ \frac{1}{2} } = \sqrt{81} = 9[/tex]

Answer:

[tex] {81}^{ \frac{1}{2} } \\ = \sqrt{81 } \\ = \sqrt{3 \times 3 \times 3 \times 3} \\ = 3 \times 3 \\ = 9[/tex]

Hope it helps you!! Btw, r u a BTS ARMY?

Answer:

27

Step-by-step explanation:

Answer:

a)

i) we have the equation:

3*x - 2*y

We want to find a common multiple of 3 and 2.

One can be:

3*6 = 18

2*9 = 18

And both numbers 6 and 9 are on the list, then if we take:

x = 6, y = 9

we get:

3*6 - 2*9 = 18 - 18 = 0

The solution is x = 6, y = 9.

ii) The greatest possible value of:

3*x - 2*y

Will be when x is the largest value of the list (because it is on the positive term) and y is the smallest value on the list (because it is on the negative term)

then we need to have x = 10, y = 5

The value will be:

3*10 - 2*5 = 30 - 10 = 20

iii) Now we want to have the smallest value on x, and the largest one on y, then:

x = 5, y = 10

The smallest value of the equation will be:

3*5 - 2*10 = 15 - 20 = -5

B) We want to solve:

5*(a - 4*b)

when:

a = -7

b = 1/4

This is kinda easy, we just need to replace the variables in the equation to get:

5*(a - 4*b) = 5*(-7 - 4*(1/4)) = 5*(-7 - 4/4) = 5*-8 = -40

The value of y when -2(-30) - 3y = 42 is that y will be 6 so therefor the answer is y = 6

Answer:

I think it's B for x is less than and equal too 1

Step-by-step explanation:

It's probly you should use the line where the shading is going.

Answer:

2/3

Step-by-step explanation:

Add 4/9 and 2/9 together

6/9

Simplify.

Divide both sides by 3

6 divided by 3

2

9 divided by 3

3

So, the answer is 2/3

Hope this helps :)

Answer: 2/3

Step-by-step explanation:

4/9+2/9= 6/9

THey can be simplified by three so ur answer is

2/3

Answer:

B

Step-by-step explanation:

Answer:

amy = 22 ben = 19

hope i helped!!!

Answer:

Year 3: Ben $10, Amy$13

Answer:

What are the options

Step-by-step explanation:

Step-by-step explanation:

Volume = width × length × height

= (5×8×22) + (5×12×8)

= ....... m³

Answer:

I can see it, sorry

Step-by-step explanation:

Answer:

1) b= 39.5

2) c= 3.6

3) a=19

Step-by-step explanation:

Use the Pythagorean Theorem to find the missing side length.

"C" is the hypotenuse. Pythagorean Theorem: a^2+b^2=c^2

1) 11^2+b^2=c^41

121+b^2=1681

121-121+b^2=1681-121

b^2=1560

b= 39.5

2) 2^2+3^2=c^2

4+9=c^2

13=c^2

c= 3.6

3) a^2+9^2=21^2

a^2+81=441

a^2+81-81=441-81

a^2=360

a=19

Hope this helps!

Answer:

They are like terms

Step-by-step explanation:

Answer:They are like terms!

Step-by-step explanation: