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Work with a partner to solve this problem.
A doorway is 2.0 m high and 1.0 m wide.
A square piece of plywood has side length 2.2 m.
Can the plywood fit through the door?.
How do you know?
Show your work.
Reflect
share
&
Compare your solution with that of
another pair of classmates.
If the solutions are different, find out which solution is correct.
What strategies did you use to solve the problem?

Answer:

You should guess

Step-by-step explanation:

If you have good luck you will get it right

The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.

Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.

It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.

The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.

Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.

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Answer:

15 ways

Step-by-step explanation:

girl 1 and boy 1

girl 2 and boy 1

girl 3 and boy1

girl 1 and boy 2

girl2 and boy 2

girl 3 and boy 2

girl 1 and boy 3

girl 2 and boy 3

girl 3 and boy 3

girl 1 and boy 4

girl 2 and boy 4

girl 3 and boy 4

girl 1 and boy 5

girl 2 and boy 5

girl 3 and boy 5

Answer:

33

Step-by-step explanation:

I am not hundred percent sure this the best I got

The  expression represents the total surface area of the prism is

2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

The term "TSA" stands for "Total Surface Area" of a prism. The Total Surface Area represents the  sum of the areas of all the faces (including the bases) of the prism.

for the rectangular prism, the Total Surface Area can be calculated using the formula:

TSA = 2lw + 2lh + 2wh

where

l = 5

w = 4

h = 7

plugging in the values gives

TSA = 2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

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Solving for x :

This way, x = 15

Check the picture below.

let's recall that, the arc made from 0 to π is just half a circle or namely a semi-circle, so any fraction of π refers to that arc

\(\cfrac{11\pi }{18}\qquad \textit{really means}\qquad \cfrac{11}{18}\qquad \textit{of that semi-circle}\)

Answer:

D

Step-by-step explanation:

Answer:

l = 2.25 cm

Step-by-step explanation:

given l is inversely proportional to w² then the equation relating them is

l = \(\frac{k}{w^2}\) ← k is the constant of proportion

(i)

to find k use the condition w = 1.5 , l = 16 , then

16 = \(\frac{k}{1.5^2}\) = \(\frac{k}{2.25}\) ( multiply both sides by 2.25 )

36 = k

l = \(\frac{36}{w^2}\) ← equation of proportion

(ii)

when w = 4 , then

l = \(\frac{36}{4^2}\) = \(\frac{36}{16}\) = 2.25 cm

Answer:

It would last for 54 days.

Step-by-step explanation:

After 15 days 200 soldiers leaved.

Soldiers              Food for days

1200 ↓                 45

1000                 ↑ x (let)

Arrows show the opposite variation to each other

1200     x

1000 = 45

Or, x =  1200×45

               1000

                 = 54 days.

The amount of space or volume inside the box but outside the basketball is 6589.44 cm³.

We have to find the volume of the box and volume of the basketball to determine the space outside it.

Box is in rectangular shape.

Volume of the box = 24 × 24 × 24

                                = 13824 cm³

Basketball is spherical in shape.

Volume of the sphere = 4/3 π r³

                                     = 4/3 π (12)³

                                     = 2304π

                                     = 7234.56 cm³

Amount of space inside the box but outside the basketball is,

13824 cm³ - 7234.56 cm³ = 6589.44 cm³

Hence the required space is 6589.44 cm³.

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Answer:

75 Kilometers

Step-by-step explanation:

We have been given that the distance between two towns is 120 km.

We are also told that there are approximately 8 km in 5 miles. Let us find number of miles per km by dividing 5 by 8.

\text{Number of miles in 1 km}=\frac{5\text{ miles}}{\text{8 Km}}

\text{Number of miles in 1 km}=0.625\frac{\text{ miles}}{\text{ Km}}

Therefore, there are 0.625 miles in 1 km.

To convert our given distance into miles we will multiply our given distance by number of miles in 1 km.

\text{Number of miles in 120 km}=120\text{ km}\times \frac{0.625\text{ miles}}{\text{ km}}

\text{Number of miles in 120 km}=120\times 0.625\text{ miles}

\text{Number of miles in 120 km}=75\text{ miles}

Therefore, the distance between two towns is 75 miles.

Answer:

The answer is 75, I had this question a few days ago and I got it right

Answer:75

Answer:

[-0.2  0.4]

[0.8   -0.6]

If the confidence interval is known to be (56.28, 62.72), the  margin of error is 3.22

The formula for margin of error is given by

= (upper limit of confidence interval  - lower limit of confidence interval) / 2

When the confidence interval is known to be (56.28, 62.72)

upper limit of confidence interval = 62.72

lower limit of confidence interval = 56.28

margin of error

= (62.72  - 56.28) / 2

= 6.44

= 3.22

The margin of error is 3.22

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Answer:

sorry i need this for a challenge :)

Step-by-step explanation:

Answer:

2 sqrt41

Step-by-step explanation:

(12^2)+(sqrt20)= (3rd side)

144+20=164

sqrt 164=2sqrt41

Answer:

0.0512

Step-by-step explanation:

We are told in the question that X isa Binomial variable. Hence we solve this question, using the formula for Binomial probability.

The formula for Binomial Probability = P(x) = (n!/(n - x) x!) × p^x × q ^n - x

In the above question,

x = 3

n = 5

p = probability for success = 0.2

q = probability for failures = 1 - 0.2 = 0.8

P(x) = (n!/(n - x) x!) × p^x × q ^n - x

P(3) = (5!/(5 - 3) 3!) × 0.2^3 × 0.8^5-3

P(3) =( 5!/2! × 3!) × 0.2³ × 0.8²

P(3) = 10 × 0.008 × 0.64

P(3) = 0.0512

The missing fourth vertex needed to create a rectangle is (25, 3) option D.

Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.

Here, the width of one side of the rectangle;

⇒ +3 - (-6) = 9 unit                (left side y-coordinates)

Similarly the length of the rectangle;

⇒ 25 - (-15) = 40 unit             (up-side x-coordinates)

Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)

So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:

⇒ (25, -6+9) = (25, 3)

⇒ (-15+40, 3) = (25, 3)

Therefore, the missing fourth vertex is (25, 3)

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The arc cossecant of the given value is of 30º.

The cosecant of an angle is given by the ratio between 1 and the sine of the angle, as follows:

cos(x) = 1/sin(x)

The arc cossecant of an angle is represented by the expression arc csc(x), and represents the inverse of the cossecant, that is, it is the angle which has a cosecant of x.

In this problem, the arc cossecant that is asked is:

\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)}\)

Basically, it asks for the angle which has a cossecant value of 2/(3sqrt(3)). This angle is found using a calculator, and it is of 30º.

Hence the numeric value of the expression is presented as follows:

\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)} = 30^\circ\)

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It will take 1 hour 12 minutes to clear the field together Ted and jacob when Ted can remove the trash from a football field in three hours.

Given that

Ted can remove the trash from a football field in three hours. The same field may be cleared by Jacob in two hours. The scenario can be represented by the equation when they cooperate, where t is the total number of hours needed to clear the field.

We have to find how long will it take ted and jacob to clear the field together.

We know that,

Let the number of hours = t

Ted can clear the field = t/3

Jacob can clear the field = t/2

Together they can clear the field = t/3 + t/2 = 1

3t+2t/6 = 6/6

2t + 3t = 6

5t = 6

t = 6/5

t = 1.2 hours.

Converting

1.2 hours = 1 hour 12 minutes.

Therefore, It will take 1 hour 12 minutes to clear the field together Ted and jacob when Ted can remove the trash from a football field in three hours.

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Step-by-step explanation:

Formula that you need to commit to memory :

  Area of ANY triangle = 1/2 * base * height

             area = 1/2 * 1.2 * . 6 = .36 m^2

Answer: area of the triangle is 0.36m

Step-by-step explanation:

The area of the triangle is mainly defined by the area enclosed by the three sides of any particular triangle. Basically, we calculate it as the area is equal to half of the base times height.

area of the triangle formula : A = 1/2  × b  ×  h

= 1/2 × 1.2m × 0.6 m

=1/2 x 0.72m

=0.36m

Therefore, the area of the triangle will be 0.36m for the base 1.2m and the  height 0.6m

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Answer:

f(2) = 1

x = 0

Step-by-step explanation:

f(2) = 1 since y=1 when x=2.

f(0) = -3 since x=0 when y=-3

SOLUTION:

Step 1:

In this question, we are given the following:

It rained 2 out of the last 12 days in March. If this trend continues,

how many rainy days would you expect in April?

Step 2:

Recall that there are 30 days in the month of April, and for us to have a definite proportion, we need to do the following:

we cross-multiply and we have that:

CONCLUSION:

It is expected to rain for a given period of 5 days in the month of April.

Answer:

\(x=\frac{\pm\sqrt{29} +1}{4}\)

Step-by-step explanation:

Quadratic Formula: \(x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}\)

Step 1: Write quadratic equation

4x² - 2x = 7

Step 2: Solve for x

Answer:

6:21

Step-by-step explanation:

We want to find the ratio of squares to shapes

So simply count the squares

There are 6 squares

And then find the total number of shapes

There are a total of 21 shapes

So for every 6 squares there are 21 total shapes

In other words the ratio of squares to shapes is 6:21

Answer:

Step-by-step explanation:

Given,

Number of squares = 6

Total no. of shapes = 21

Therefore,

Unsimplified ratio of squares to total shapes

= 6:21 (Ans)

Answer:

The picture isn't clear enough.

In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.

1. Begin with the equation 0.2 = 0.

2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.

  This simplifies to 0 = -0.2.

3. Observe that the right side of the equation, -0.2, is a negative number.

4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.

5. Rewrite the equation as 0 = +0.2.

6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.

7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.

8. Simplify the equation to 0 = +0.2.

9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.

10. As a result, the original equation 0.2 = 0 is invalid.

11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.

12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.

To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.

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Answer:

5(9x+23)

Step-by-step explanation:

45x+115

5(9x+23)

Using relations in a right triangle, it is found that the length of AC is of 14 cm.

The relations in a right triangle are given as follows:

Researching this problem on the internet, we have that:

Hence the hypotenuse is found as follows:

sin(A) = 48/h

0.96 = 48/h

h = 48/0.96

h = 50 cm.

The length of side AC is the other leg of the triangle, found using the Pythagorean Theorem, hence:

\(x^2 + 48^2 = 50^2\)

\(x^2 = \sqrt{50^2 - 48^2}\)

x = 14 cm.

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Answer:

The value of x is 19.

Step-by-step explanation:

Given:

m∠1 = (4x + 9)°

m∠2 = (x - 14)°

Since m∠1 and m∠2 are complementary angles, we have:

m∠1 + m∠2 = 90°

Substituting the given expressions for m∠1 and m∠2:

(4x + 9)° + (x - 14)° = 90°

Combining like terms:

4x + 9 + x - 14 = 90

Combining the x terms and the constant terms:

5x - 5 = 90

Adding 5 to both sides:

5x = 90 + 5

Simplifying:

5x = 95

Dividing both sides by 5:

x = 95 / 5

Simplifying further:

x = 19