When the area of a square is increasing four times as fast as the diagonals, what is the length of a side of the square

Answer:

572

Step-by-step explanation:

Work :

Answer:

a) [tex]10x+8y \geq 200[/tex]

b) The members should sell at least 15 puzzles

Step-by-step explanation:

Let x represents selling games

and y represents puzzles

The statement given is: They make a profit of $10 per game and $8 per puzzle. They would like to make a profit of at least $200.

a) The inequality will be:

[tex]10x+8y \geq 200[/tex]

at least 200 means the profit can be equal to 200 or greater than that.

b) If the members sell 8 games, how many puzzles would they have to sell?

Number of puzzles sold can be solved by solving the inequality [tex]10x+8y \geq 200[/tex]

Put x =8 and find value of y

[tex]10x+8y \geq 200\\10(8)+8y\geq 200\\80+8y\geq 200\\8y\geq 200-80\\8y\geq 120\\y\geq \frac{120}{8}\\y\geq 15[/tex]

So, the members should sell at least 15 puzzles to make the inequality true. because the profit should be at least $200.

Answer:

A

Step-by-step explanation:

Answer:

i believe is 4

Step-by-step explanation:

If you 2y=-4x+12

need to get the Y by it self

Answer:

-51.25

Step-by-step explanation:

Given:

Length of a side of base of a square base pyramid = 6 cm

Height of each triangular surface = 4 cm.

To find:

The total surface area of the square based pyramid.

Solution:

Area of a square with side length a is

[tex]\text{Area of square}=a^2[/tex]

Area of square with side length 6 cm is

[tex]\text{Area of square}=(6)^2[/tex]

[tex]\text{Area of square}=36[/tex]

So, area of square with side length 6 cm is 36 cm².

Area of triangle is

[tex]\text{Area of a triangle}=\dfrac{1}{2}\times base\times height[/tex]

Area of each triangular surface is

[tex]\text{Area of each triangular surface}=\dfrac{1}{2}\times (6)\times (4)[/tex]

[tex]\text{Area of each triangular surface}=12[/tex]

Total area of 4 triangular surfaces is

[tex]\text{Area of 4 triangular surfaces}=4\times 12[/tex]

[tex]\text{Area of 4 triangular surfaces}=48[/tex]

So, area of all triangular surfaces is 48 cm².

Now, total area of pyramid is the sum of base area and area of all triangular sides.

[tex]Area=36+48[/tex]

[tex]Area=84[/tex]

Therefore, the area of given square pyramid is 84 cm².

Answer:

X PARTS OF AN INTEGER DIVIDED INTO 3 PARTS

Step-by-step explanation:

X PARTS OF AN INTEGER DIVIDED INTO 3 PARTS

Answer:

rate of change of rent's texting with respect to the month x

Step-by-step explanation:

This expression is written in the form of equation of a straight line f(x) = mx+c where;

m is the slope of rate of change of the function

c is the y-intercept

On comparing, we will see that the slope of the given equation is 117 which can be represented as the rate of change of rent's texting with respect to the month x

Answer:

Fail to reject.

Step-by-step explanation:

For a goodness of fit test the decision rule is:

If the calculated value of the test statistic is more than the right tailed critical value of chi-square, then the null hypothesis will be rejected.

The hypothesis for a goodness of fit test is:

H₀: There is no differences between the observed and expected frequencies.

Hₐ: There is a significant differences between the observed and expected frequencies.

The computed value of the test statistic is, 6.079.

The critical value of chi-square is 9.488.

Calculated test statistic < Critical value

                            6.079 < 9.488

Thus, the null hypothesis was failed to rejected.

Answer:

Ummm... You didn't put any pictures or wrote any fractions lol.

Step-by-step explanation:

Have a great day! Thanks!

Answer:

where is the picture????????

Answer:

post office, Library, Park, town hall

Step-by-step explanation:

Answer:

p-value = 0.02535

Step-by-step explanation:

From the information given:

For men:

The sample size n₁ = 10

The standard deviation s₁ = 0.2

The sample mean [tex]\bar x _1 =[/tex] 2.9

For women:

The sample size n₂ = 10

The standard deviation s₂ = 0.2

The sample mean [tex]\bar x _2=[/tex] 3.1

Using the pooled variance;

[tex]S_i = \sqrt{\dfrac{s^2_1}{n_1} +\dfrac{s^2_2}{n_2} }[/tex]

[tex]= \sqrt{\dfrac{0.2^2}{10} +\dfrac{0.2^2}{10} }[/tex]

[tex]= \sqrt{0.004+0.004 }[/tex]

[tex]= \sqrt{0.008 }[/tex]

= 0.08944

The z-test statistics is computed as:

[tex]z = \dfrac{\barf x_1 - \bar x_2}{S_i}[/tex]

[tex]z = \dfrac{2.9- 3.1}{0.08944}[/tex]

z = - 2.236

The p-value =  2 × P(Z < -2.236)

From the z table;

p-value = 2 × (0.012675)

p-value = 0.02535

Answer:

(D)

Step-by-step explanation:

is the correct because is 1/2

Answer:

C. 1 1/2

Step-by-step explanation:

Answer:

The answer is option A.

Step-by-step explanation:

If both equations are graphed side by side, will produce same figure.

Answer:

i think the answer is all of them but if its wrong im sry

Step-by-step explanation:

Answer:

1. 0.45

2. 0.30

3. 0.583 with a bar over 3

4. 0.80

5. 0.6 with a bar over 6

6. 0.83 with a bar over 3

7. 0.16 with a bar over 6

8. 0.9375

9. 0.13 with a bar over 3

10. 0.36 with a bar over 36

11. 0.625

12. 0.8125

13. 0.12

14. 0.4 with a bar over 4

15. 0.8 with a bar over 8

16. 0.6875

17. 0.56

18. 0.73 with a bar over 3

Answer:

Combination with repetition

Step-by-step explanation:

This is a combination since the order in which Jackson purchases the fruit does not matter. Repetition is allowed (he’s at the store so he can buy as many as he wants).

The number of different collections of fruit can he choose should be considered when there is Combination with repetition

Since he can buy any 3 fruit (the store sells apples, oranges, pears, bananas, strawberries,blueberries, and kiwis)

So here it is the combination because the order where Jackson buy the fruit should not matter. Also, the repetition should be allowed that means he buy as he needs.

Therefore, the first option is correct.

Learn more about number here: https://brainly.com/question/14650093

Answer:

OD

Step-by-step explanation:

an angle that is more than 90 is considered a acute angles

The correct option for an open statement is:

C) XYZ is an acute angle.

The answer is C.  We don't know if it's true or false.  

Here, we have,

we know that,

An open statement is one that can be true or false depending on the value or condition being discussed.

In this case, the statement "An angle that measures 95° is an acute angle" is an open statement because it can be evaluated as true or false based on the definition of an acute angle.

An acute angle is defined as an angle that measures less than 90 degrees.

Since 95° is greater than 90°, the statement is false.

However, if we were discussing a different angle measure, the statement could be true or false depending on its value.

Options A and B are not open statements because they provide specific angle measures (40° and 95°) and classify them as either acute or obtuse, which can be determined as true or false based on their given measures.

Option C does not provide any specific information or condition,

We don't know if it's true or false.  

The correct option for an open statement is:

C) XYZ is an acute angle.

To learn more on angle click:

brainly.com/question/28451077

#SPJ2

Answer: There are 2 1/4 groups of 1/3 inch in 3/4 inch.

Step-by-step explanation:

1. Find a common denominator. 3 and 4 are both multiples of 12, so 12 would be the common denominator.

2. Convert each fraction to have the common denominator of 12.

1/3 * 4/4 = 4/12

3/4 * 3/3 = 9/12

3. Divide using the keep, change, flip method.

9/12 * 12/4 = 108/48

108/48 = 2 1/4

Answer:

500.85 to 519.15

Step-by-step explanation:

The computation is shown below;

The z value for the 98% confidence interval is 2.33

Now the margin of error is

= (z × standard deviation) ÷ √n

= (2.33 × 36) ÷ √87

= (83.88 ) ÷ √87

= 83.88 ÷ 9.327379

= 8.99

= 9

Now The confidence interval mean is

= (510 - 9) (510 +9)

= (501) ; (519)

Answer:

Length of Mr. Roger's field = 5 miles

Step-by-step explanation:

Given that:

Area of Mr. Roger's field = [tex]3\frac{1}{3}=\frac{10}{3}[/tex] square miles

Width of Mr. Roger's field = [tex]\frac{2}{3}[/tex] of a mile

Let,

l be the length of Mr. Roger's field

Area of field = Length * Width

[tex]\frac{10}{3}=\frac{2}{3}l[/tex]

Multiplying both sides by 3/2

[tex]\frac{3}{2}*\frac{10}{3}=\frac{2}{3}l*\frac{3}{2}\\5 = l\\l = 5[/tex]

Hence,

Length of Mr. Roger's field = 5 miles

Answer: i think 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

trust

Answer:

B i think???

Step-by-step explanation:

Given:

P = Set of all triangles,

Q = Set of scalene triangles,

R = Set of isosceles triangles and

S = Set of equilateral triangles.

To find:

Which of the following statements are true or false?

Solution:

We know that,

Scalene triangles : All sides are different.

Isosceles triangles : Two sides are equal.

equilateral triangles : All sides are equal.

Set of all triangles contains all scalene triangles. So, set of scalene triangles Q is a subset of Set of all triangles P.

[tex]Q\subset P[/tex]

So, (a) is true.

All isosceles triangles are not equilateral triangles. So, set of isosceles triangles R is not a subset of set of equilateral triangles S.

[tex]R\nsubseteq S[/tex]

So, (b) is false.

Set of all isosceles triangles contains all equilateral triangles. So, set of equilateral triangles S is a subset of set of isosceles triangles R .

[tex]S\subset R[/tex]

So, (c) is true.

Answer:

i need this answer too

Step-by-step explanation:

lol

Answer:

Since 16.5 is negative, the only way to get that answer is to multiply 5 by something to negative(x)

Step-by-step explanation: