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Complete question :

Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.

a. Draw the girls’ rectangles, and label the lengths and widths of each.

b. What are the areas of the rectangles in square centimeters?

c. Compare the areas of the rectangles.

Answer:

Colleen = 41.667 cm²

Carolina = 166.667 cm²

Carolina's rectangle is larger Than Collen's

Step-by-step explanation:

To start with, we determine the total number of tiles used

3 Rows of 5 ; 3 in 5 places = 15

Length of collen's square tiles : 1 2/3 = 5/3

Area of collen's square tiles = square of side length, = (5/3)² = 25/9

Area of rectangle formed = area of square * number of tiles

(25 /9) * 15 = 41.667 cm²

Length of carolina's square tiles : 3 1/3 = 10/3

Area of collen's square tiles = square of side length, = (10/3)² = 100/9

Area of rectangle formed = Area of square * number of tiles

(100/9) * 15 = 166.667 cm²

Carolina's rectangle is larger Than Collen's

Answer:

23.33 (rounded down 23)

Step-by-step explanation:

Answer:

[tex]\angle 2 =60[/tex]

[tex]\angle 3 = 60[/tex]

[tex]\angle 4 = 120[/tex]

[tex]\angle 5 = 120[/tex]

[tex]\angle 6 = 60[/tex]

[tex]\angle 7 = 60[/tex]

[tex]\angle 8 = 120[/tex]

Step-by-step explanation:

Given

[tex]\angle 1 = 120^\circ[/tex]

See attachment

Required

Determine the other angles

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are on a straight line.

So;

[tex]\angle 1 + \angle 2 =180[/tex]

Make [tex]\angle 2[/tex] the subject

[tex]\angle 2 =180 - \angle 1[/tex]

[tex]\angle 2 =180 - 120[/tex]

[tex]\angle 2 =60[/tex]

[tex]\angle 1[/tex] , [tex]\angle 4[/tex],  [tex]\angle 5[/tex] and [tex]\angle 8[/tex] are corresponding angles.

So;

[tex]\angle 4 =\angle 1 = 120[/tex]

[tex]\angle 5 =\angle 1 = 120[/tex]

[tex]\angle 8 =\angle 1 = 120[/tex]

Similarly; [tex]\angle 2[/tex] , [tex]\angle 3[/tex],  [tex]\angle 6[/tex] and [tex]\angle 7[/tex] are corresponding angles.

So;

[tex]\angle 3 =\angle 2 = 60[/tex]

[tex]\angle 6 =\angle 2 = 60[/tex]

[tex]\angle 7 =\angle 2 = 60[/tex]

Answer:

D

Step-by-step explanation:

it's self explanatory

12 is being decreased by 2x (x is a variable for a number)

Which table shows a proportional relationship between x and y? x 2 4 5 6 y 6 12 18 21 x 1 3 4 5 y 50 150 200 250 x 3 5 7 8 y 1.5 2.5 3 4.5 x 1 2 3 6 y 1.5 3 6 9 the graph of a proportional relationship passes through (12,16) and (1,y) find y. can someone please walk me through this?

Answer:

B. x - 17

Step-by-step explanation:

It says to subtract 17 from x.

Answer:

B. x-17

Step-by-step explanation:

Answer:

t = 35/12

Step-by-step explanation:

t - 7/4 = 2/5 t

t = 2/5 t + 7/4

t - 2/5 t = 7/4

t*(1-2/5) = 7/4

t*3/5 = 7/4

t = (7/4)/(3/5)

t = 7*5/4*3

t = 35/12

Answer: y= sin x+2

Step-by-step explanation:

Option b. equation y= sin x + 2 is showing the given graph.

A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.

The graph of equation y= sin x + 2 is showing in the picture.

Hence, equation y= sin x + 2 is showing the given graph.

Learn more about function:

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Answer:

25.7, hope this helps

Step-by-step explanation:

Answer:

Options A, C, and F

Step-by-step explanation:

Answer:

101.6 cm

Step-by-step explanation:

3 ft = 36 in

36 in + 4 in = 40 in

40 * 2.56 = 101.6 cm

Answer:

yes by SAS

Step-by-step explanation:

EN = RP

EM = PQ

Angle N = Angle R

Answer:

4/5

Hope this helps!!

Answer:

52.6 or you can make it 52.5

Step-by-step explanation:

Answer:

[tex]x = \{3,4,5\}[/tex]

Step-by-step explanation:

Given

[tex]3x + 4 > 10[/tex]

[tex]x < 6[/tex]

Required

Solve

We have:

[tex]3x + 4 > 10[/tex]

Collect like terms

[tex]3x > 10 - 4[/tex]

[tex]3x > 6[/tex]

Divide by 3

[tex]x > 2[/tex]

So, we have:

[tex]x > 2[/tex] and [tex]x < 6[/tex] i.e. between 2 and 6 (exclusive)

This implies that:

[tex]x = \{3,4,5\}[/tex]

Answer:

a is negative i think

Answer:

3-3x=-4x-3

Please correct me if I am wrong.

Step-by-step explanation:

Option A is equivalent to 3(1 – x) = 2x - (6x+3) That is :

3 – 3x = -4x+3

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

The given equation is :

3(1 – x) = 2x - (6x+3)

multiply 3 with inside the parenthesis in the left side of equation :

3 – 3x = 2x - (6x+3)

subtract 2x with 4x and simplify :

3 – 3x = 2x - 6x+3

3 – 3x = -4x+3

this result is equivalent to option A which will give the same result.

Therefore, Option A is equivalent to 3(1 – x) = 2x - (6x+3).

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Answer:

58

Step-by-step explanation:

Answer:

The manufacturer's claim is not supported

Step-by-step explanation:

The time duration the battery of the foldable drone is said to last, μ = 4 hours

The number of drones that were tested, n = 10 drones

The sample mean, [tex]\overline x[/tex] = 4.2 hours

The standard deviation, s = 0.4 hours

The hypothesis test level of significance = 0.5

The null hypothesis, H₀; μ = 4

The alternative hypothesis, Hₐ; μ ≠ 4

The test statistic is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]

We get;

[tex]The \ test \ statistic, \ t =\dfrac{4.2 - 4}{\dfrac{0.4}{\sqrt{10} } } \approx 1.58113883008[/tex]

Therefore, the test statistic, t ≈ 1.58

The degrees of freedom, d. f. = n - 1

For n = 10, we have;

The degrees of freedom, d. f. = 10 - 1 = 9

From the t-table at 0.5 level of significance, the critical-t = 0.7

Given that the test statistic is larger than the critical-t, we reject the null hypothesis and there is enough statistical evidence to suggest that the manufacturer claim is not supported and that the mean is not 4 hours as claimed.

Step-by-step explanation:

By using formula of h^2=p^2+b^2

h=20

p=x

b=10

Now,

p=root h^2-b^2

x=root 20^2-10^2

x=root 400-100

x=root 300

x= 10root3

the Answer is c

Step-by-step explanation:

Answer: 41,472

Step-by-step explanation:

Answer:

Malik tipped a 17.5% tip. You could also say he tipped a 17.6% tip depending on how you round. Both answers get you a dollar.

Answer:

X=2, y=5

Step-by-step explanation:

Y=3x-1 equation 1

-4x+2y=2 equation 2

-4x +2(3x-1)=2 substitute value of y (3x-1) in equation 1 into y value of equ e

-4x+6x-2=2 distributative property

2x=4 solve above equation

x=2

solve for y:

y=3x-1

y=3(2)-1

y=6-1

y=5

Step-by-step explanation:

Area of circle =πr²

Answer:

The area is 75

Step-by-step explanation:

Because 10/2 is 5

5x5=25

25x3=75

Answer:

the red cup contains the highest amount of tomato juice

the blue and yellow cup contain the same amount of juice

the difference between the highest amount and the lowest is 10 ounces

Step-by-step explanation:

convert all the other measurements to ounces

i cup = 8 ounces

6 x 8 = 42

1 p = 16 ounces

16 x 2 = 32

Answer:

34

Step-by-step explanation:

Add them together

5x+10=180

5x+10-10=180-10

5x=170

5x/5=170/5

x=34