Which rectangle is similar to a rectangle with 1/2 yards and 2/3 yards?

Given:

Consider the below figure attached with this question.

To find:

The surface area of this solid prism.

Solution:

The surface area of this solid prism is

[tex]A=P\times h+2B[/tex]

Where, P is the perimeter of the base, B is the area of the base and h is the height of the prism.

Perimeter of the base is:

[tex]P=6+8+10[/tex]

[tex]P=24[/tex]

Area of the base is:

[tex]B=\dfrac{1}{2}\times base\times height[/tex]

[tex]B=\dfrac{1}{2}\times 8\times 6[/tex]

[tex]B=24[/tex]

Putting [tex]P=24[/tex] and [tex]B=24[/tex] in the formula for area, we get

[tex]A=(24)\times 9+2(24)[/tex]

[tex]A=216+48[/tex]

[tex]A=264[/tex]

Therefore, the surface area of the given prism is 264 m².

Answer:

5

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 5

Explanation:

-3 - (-8) = -3 + 8

-3 + 8 = 5

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Missing term = r²

Step-by-step explanation:

Given:

6r⁴ + 4r + ….  -2r⁴ + 3r = 4r⁴ + r² +7r

Find:

Missing term

Computation:

Assume missing term = A

So,

6r⁴ + 4r + ….  -2r⁴ + 3r = 4r⁴ + r² + 7r

6r⁴ + 4r + A -2r⁴ + 3r = 4r⁴ + r² + 7r

4r⁴ + 4r + A + 3r = 4r⁴ + r² + 7r

4r⁴ + 7r + A = 4r⁴ + r² +7r

A = r²

Missing term = r²

Answer:

The area of this figure is 22 meters squared

Step-by-step explanation:

Two shapes exist on this figure: a rectangle and a triangle. We must first find the area of the rectangle and add that area to the area of the triangle. So first, let's solve the rectangle.

As the area of a rectangle is length multiplied by width, we have 8 * 1 = area, or 8 meters squared. Now we save the value of 8 to add to the area of the triangle. So let's now figure out the area of the triangle.

As the area of a triangle is A = (HB)/(2), or that triangles height multiplied by its base, and dividing that whole number by 2, we can substitute numbers into this equation. This means we take 3.5, the height of the triangle, and multiply that number by 8, the base of the triangle, to get a value of 28. We then divide 28 by 2 to satisfy the equation A = (HB)/(2), and we get the value of 14.

Because of this, we add 8, the area of the rectangle, and 14, the value of the triangle to get a total value of 22. Now let's not forget to add meters squared as the unit of measurement as stated in the question.

This means that the total area of this figure is 22 meters squared.

Answer:

W - (-4,4)

X - (-1,4)

Y - (-1,2)

Z - (-4,2)

Step-by-step explanation:

hope it helps. :)

Answer:

4 cups

Step-by-step explanation:

Given the point (8, 1 )

This tells us that 1 cup can be filled using 8 fluid ounces

Divide 32 by 8 to find number of cups

32 ÷ 8 = 4

Then 4 cups can be filled from 32 fluid ounces

Plot the point (32, 4 ) on the grid

Answer:

1). 4 glasses

2). The graph of a line whose equation is; y = [tex]-\frac{1}{8}x + \frac{63}{64}[/tex]

Step-by-step explanation:

The container has 32 fl oz of orange juice.

He is filling glasses with the juice; such that each glass will hold one cup of the juice.

From the graph, 8 ounces of juice goes into one cup (equivalent of one glass)

So we expect Enrique to fill 32 ÷ 8 = 4 glasses

The graph is the line passing through points (8,1) and (32,4) whose equation is;

y = [tex]-\frac{1}{8}x + \frac{63}{64}[/tex]

Answer:

6.28 km

Step-by-step explanation:

Circumference formula:

C = 2πr

To find r:

r = d/2

r = 2/2

r = 1

Work:

C = 2(3.14)(1)

C = 6.28

Answer:

6.28

Step-by-step explanation:

Its the formula 2πr. The diameter is 2 and the radius is half of 2 so 1. Just plug in 1 for r and multiply everything together.

Answer:

6h/top left

Step-by-step explanation:

count the number of hs. In this case there are 6 so it is 6h

Step-by-step explanation:

h+h+h+h+h+h is equivalent to 6h

Answer:

57

Step-by-step explanation:

Answer:

28.26

Step-by-step explanation:

A=(3.14)r^2=(3.14)·3^2≈28.26

Answer:

a)39.37 mg

b) 20 hours

Step-by-step explanation:

Half-Life N(t)=No(12)th N= final amount No= initial amount t= time h= half-life Iodine-123 is sometimes used in thyroid scans and has a half-life of 15 hours.

a) How much of a 250 mg sample would remain after 40 hours (round to hundredths)?

We are to find N(t)

N(t) = No (1/2)^t/t½

No = 250mg

t = 40 hours

t½ = 15 hours

N(t) = 250 (1/2)^40/15

N(t) = 39.372532809215 mg

Approximately = 39.37 mg

b) How much time does it take for 250 mg to decay to 100 mg (round to the nearest hour)? Use logarithms to solve it algebraically.

We are to find time t

t = t½ (In Nt/No)/- In 2

t = 15 × (In 100/250)/ -In2

t = 19.82892142331 hours

Approximately = 20 hours

Answer: 56 people in line are not senior citizens

Step-by-step explanation:

Answer:

37 minutes.

Step-by-step explanation:

because if you add 23 minutes it's 6:00 then add 14+23 which is 37

Answer:

175cm²

The answer is simply the length multiplied by the perpendicular height. 5cm × 35cm = 175cm²

Answer:

96d exponent 22 hope this helps I dont how to explain lol

Answer:

A) A = 4x^2 - x - 5

B) f(2) = 9

Step-by-step explanation:

area is L x W, so you multiply 4x - 5 with x + 1

A = (4x - 5)(x + 1)

which gives you

A = 4x^2 - x - 5

you would then plug in 2 for x which gives you your answer of

9

Hope this helps you :)

Answer:

48

Step-by-step explanation:

y=6x

y=6(8)=48

Answer:

Step-by-step explanation:

y=6(8)

6*8=48

x=48

Answer:

The volume of this figure is approximately 418.88 centimeters squared!

Step-by-step explanation:

The volume for a right circular cone is V = (π)(r^2)(h/3)

Substituting known values is as follows:

V = (π)(r^2)(h/3)

V = (π)(4^2)(25/3)

V = (π)(16)(25/3)

V ≈ 418.88 cm^3

Answer:

A

Step-by-step explanation:

The denominator is obviously 8 because there are 8 posibilities. The nuemerator is 1.

If you flip it once, you have a 1/2 chance of flipping tails. twice is 1/4 chance. three times is a 1/8 chance

pls brainliest!

Answer:

A. 1/8th

Step-by-step explanation:

The chances u land the coin on one side is 1/2

so the equation would be 1/2^3 or

1/2 x 1/2 x 1/2 which leaves you with 1/8.

Answer:

56 cm^2

Step-by-step explanation:

Well I gotta explain something so I don’t get reported.

Well first separate into 2 shapes

You got 8*3 and 8*4

Multiply and add those 2 numbers

you’d get 56

Answer:

the answer is 18

Step-by-step explanation:

216/12=18

Answer:

18 miles per gallon

Step-by-step explanation:

216/12= 18

Answer:

3:4

Step-by-step explanation:

Three students ate apples, 4 students did not

Answer:

75

Step-by-step explanation:

Step 1

Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange.

The ratio of all Jerseys to Jerseys that are Orange =

512 : 64

8 : 1

Step 2

If he ordered 600 jerseys this year, how many of them will be Orange if the ratio of orange jerseys to all the jerseys remain the same?

Since we are maintaining the ratio in step 1

Let the number of orange jerseys = x

600 : x = 8 : 1

Hence

600/x = 8/1

Cross Multiply

8 × x = 600 × 1

8x = 600

x = 600/8

x = 75

Therefore, this year, the number of orange jerseys = 75

Answer:

Step-by-step explanation:

3*2 * 4 * 9 =36 * 6 = 216

216 ( 4 < 7)

864 < 1512

Answer:

the expression is equal to 31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Substitute x and y into the equation to get..

(3×7)-(-5×2)

21- -10

31

Hope this helps :)

Answer:

S1) False. 2³ is 2 × 2 × 2 which is 8, not 6.

S2) False. ( 2x / 3y ^ (2) ) ^ (3) =

( (2x) ^ (3) / ( (3y) ^ (2) ) ^ (3) ) = (2)³ × (x)³ / (3)³ × (y²)³ = 8 × x³ / 27 × y⁶ = 8x³ / 27y⁶.

i.e (a^b)^c = a^(b × c).

S3) True.

S4) True.

S5) False. x^(-3) = 1 / x^(3) ≠ 1 / 3x

Answer:

Y=-4x+11

Step-by-step explanation:

So first you gotta realize that slope intercept from is

y=mx+b

So you have the equation of

16x+4y=44 as the initial response

Now you just have to isolate it into the from of y=mx+b

SO first subtract 16x on both sides to isolate the 4y since its the initial response as y=mx+b

Then when that is done you should have the answer of

4y= 44-16x

Now You have to isolate the “y”.

By dividing 4 on both sides to get the new equation which will be

y= 11-4x

You can leave it like that or just move around the (x) to make it more plausible as the answer of y=mx+b

y= -4x+11

However you would put it,  that is the answer

y= -4x+11

And

y= 11-4x

Answer:

D) direct variation

Step-by-step explanation:

Since y changes depending on x, it is direct variation.

Hope it helps, have a nice day :)