Which rectangles are similar?

Answer:

The dog will run the 21-mile race in 4.04 hours

Step-by-step explanation:

The first thing we need to do is find out how far he ran the race at the local fair in 1 hour.

To do this, we can set up a simple relationship:

If he ran 10.5 miles in 2 hours,

He will run x miles in 1 hour

Cross multiplying, we have

x = (10.5 X 1)/2 = 5.25 miles in 1 hour.

We can now comfortably say that he runs at the rate of 5.2miles/hr

He now goes to the state fair race, which is 21 miles long.

if he runs at the rate of 5.2 miles in 1 hour,

He will run 21 miles in y hours

y = 21 / 5.2 = 4.04 hours

The dog will run the 21-mile race in 4.04 hours

Answer: 0.796 meters

Step-by-step explanation:

Circumference of circle = [tex]2\pi r[/tex] , where r=radius

Here, Circumference of loop = 2.5 meters

i.e. [tex]2\pi r=2.5[/tex]

[tex]\Rightarrow\ r=\dfrac{2.5}{2\pi}[/tex]

[tex]\Rightarrow\ r=\dfrac{2.5}{2\times\dfrac{22}{7}}\\\\\Rightarrow\ r=\dfrac{2.5\times7}{2\times22}\\\\\Righttarrow\ r=0.398\ m[/tex]

Diameter = 2r = 2(0.398) = 0.796 meters

Hence, The diameter of Taiga's exercise hoop = 0.796 meters

Answer:

y=2x-16

Step-by-step explanation:

so gradient is 8-(-8)/ 12-4

so 16/8 which is 2

equation of line is: y= 2x+c

substitute the values into x,y

8=2(12)+c

8=24+c

8-24=c

-16= C

this is because when it goes over the equal sign it becomes negative so now the equation is y=2x-16

Answer:

Y=2x+16

Step-by-step explanation:

Answer:

huh?

Step-by-step explanation:

Answer:

1/3, 33.33%

Step-by-step explanation:

The full square is 6x6 which means there are 36 tiles in total. The shaded area is 3x4 which is 12. 12/36 is 1/3 simplified or 33.33%.

Answer:

1/3 and 33.33℅

Step-by-step explanation:

total number of rectangles is 36 and the shaded are 12

so 12/36 =1/3

1/3= 0.3333

to change to percent we multiply by 100

0.3333×100℅ = 33.33℅

Answer:

D

Step-by-step explanation:

3.5 + 2.75 = 6.25

6.25/4.23 = 1.42 L

Approximately 1.48  liters of punch does this recipe make.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Missy makes punch for a party. She uses 3 1/2 cups of water, 2 3/4 cups of frozen pineapple juice.

∴ The total volume of the punch is ([tex]3\frac{1}{2} + 2\frac{3}{4}[/tex]) = 7/2 + 11/4 = (14 + 11)/4 = 25/4

cups of punch.

Now, 1 liter is 4.23 cups.

∴ 25/4 or 6.25 cups is (6.25/4.23) = 1.48 liters.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Answer:

7/6

Step-by-step explanation:

1/3=2/6

2/6+5/6=7/6

Answer:1.16666666667

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

Since, all sides of the given triangle are marked with identical signs.

So, measures of all sides are equal.

Therefore, it is an equilateral triangle.

Measure of each angle of an equilateral triangle is 60°.

So, x = 60° ( Alternate angles)

Answer:k so graph 4 and then go 2 down for every one to the right and for the second one start by graphing -3 and go 5 up for every 1 to the right

Step-by-step explanation:here are some points -> (0,4) (1,2) (2,0) and for the second one -> (0,-3) (1,2) (2,7) and solution to lines is (1,2)

2 triangular faces

1/2bh

10x15=150

2x150= 300

‘back’ face

7x20=140

‘front’ face

7x25= 175

‘bottom’ face

7x15= 105

total: 585m^2

Answer:

i. A = 4 + 3t .......... 1

  B = 12 + 2t .......... 2

ii. The hours required would be 8 hours.

Step-by-step explanation:

The charges at each of the garages can be expressed as;

i. For garage A,

A = 4 + 3t .......... 1

ii. For garage B,

B = 12 + 2t .......... 2

where A is the amount charged at garage A, B is the amount charged at garage B, and t is the number of hours.

To determine the number of hours  parked that would make the cost of each garage the same.

Let:

equation 1 = equation 2

4 + 3t = 12 + 2t

collect like terms

3t - 2t = 12 - 4

t = 8

The hours that would make the cost of each garage the same is 8 hours.

Answer:

The blue dot is on -3.1

Step-by-step explanation:

Answer: The blue dot is -3.21

Answer:

Proportion:  1/3=3/x

Step-by-step explanation:

The "1/3" proportion is telling us how the scale measurement relates to the real measurement.

The "3/x" describes the length of side B.

Now it is easy to figure out the answer! :D

Hope it helped!

Answer:

c

Step-by-step explanation:

i took the test mark brainlest if right

Given:

The expression is

[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]

To find:

The value of the expression.

Solution:

We have,

[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]

It can be written as

[tex]=\dfrac{10+(2\times 3)^2}{4\times \dfrac{1}{2}}[/tex]

[tex]=\dfrac{10+(6)^2}{2}[/tex]

[tex]=\dfrac{10+36}{2}[/tex]

[tex]=\dfrac{46}{2}[/tex]

[tex]=23[/tex]

Therefore, the value of the given expression is 23.

Answer:

[tex]f(x) = x^{2} - 1[/tex]

Step-by-step explanation:

The definition of even function is: [tex]f(x) = f(-x)[/tex]

I am going to assume the  second option is [tex]f(x) = x^{2} - 1[/tex] and the answer.

[tex]f(x) = x^{2} - 1\\f(-x) = (-x)^{2} - 1 = x^{2}-1[/tex]

Answer:

vh ,mnjjhbjvj n

Step-by-step explanation:

Answer:

Your answer is B

Oh and have a nice day and stay safe!

- all love from jen <3

Answer:

The answer should be B. [tex]\frac{2\sqrt{3ef}}{3f}[/tex]

Step-by-step explanation:

Answer:

4.65

Step-by-step explanation:

144.15/31=4.65

Answer:

I think it is 19 1/4

Step-by-step explanation:

How I got this was I took 21 3/4 and subtracted 2 1/2 which gave me 19 1/4.

Hope this is right and helps.

Answer:

3rd

Step-by-step explanation:

Answer:

D(x) is a function. TRUE. It is a function of x.

x is the dependent variable. FALSE. x is the independent variable because the function is expressed in terms of the independent variable.

D(6) = 3. FALSE. D(6) = 2(6) = 12. D(6) should be equal to 12.

D(x) is a direct variation. TRUE. This holds true to the definition of direct variation where one variable is related to the other variable at the same constant multple. In this case, it is 2.

D(x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). TRUE. If you replace x with the first coordinate, the function would be equal to the corresponding second coordinate.

Step-by-step explanation:

Answer:

[tex]-\frac{x-4}{9}[/tex]

Step-by-step explanation:

Replace x with f(x)

solve for f(x)

Answer:

<A = 44

Step-by-step explanation:

A triangle is 180 degrees

(x+59) + (x+51) + 84 = 180        >> add everything on the left side

2x + 194 = 180                          >> subtract both sides by 194

2x = -14                                     >> divide both sides by 2 to get x alone

x = -7

since you are finding A<, substitute

<A = x + 51

<A = (-7) + 51

<A = 44  

Answer: c

..........................

Answer:

(4,4)

Step-by-step explanation:

There are two ways that you can solve this. You can solve it with the help of technology or you can solve it traditionally. I will show how to do it in both ways so you can pick which way you want to solve it.

Traditional Method:

5x - 2y = 12

6x + 2y = 32

Look at the variables and numbers in both equations. One of them has to be the same value but have to have opposite signs. The 2y in both equations are the same value but have different signs. That's what we want. We can add everything in the equation now. (5x + 6x), (-2y + 2y), and (12 + 32).

11x = 44

To get x alone, Divide each side by 11. Then we will get the value of x.

11/11x = 44/11

x = 4

Horray! We got x, but what about y? Pick one of the equations. I will go with 5x - 2y = 12. Substitute the x value inside the equation.

5(4) - 2y = 12

20 - 2y = 12

-2y = -8

y = 4

Good! We figured out y. Now we know the solution! The solution is (4,4).

Technology Method:

Grab a graphing calculator. Enter the equations. You will see two lines. Look at where they intersect. The point where they intersect is the solution. That line is (4,4). You could also do this on a piece of paper by graphing the equations.

I hope this helps! Let me know if you need any more help or if I got anything wrong.