if ABCD is a rombus with side length 15 mm and if BD=24 mm, then find the length of the other diagonal, AC. Draw a diagram and show work.

The length of each piece is 0.1 yard.

Step-by-step explanation:

The length of the pipe is [tex]\frac{1}{2}[/tex] yard.

The pipe is cut into 5 equal pieces.

We have to find the length of the each piece.

The length of the each piece is calculated by dividing the pipe's initial length(L) by the the number of pieces(N).

Length of the each piece = [tex]\frac{L}{N}[/tex].

=[tex]\frac{\frac{1}{2}}{5}[/tex]. ( 5 is also written as [tex]\frac{5}{1}[/tex] ⇒ [tex]\frac{\frac{1}{2} }{\frac{5}{1} }[/tex].)

=[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{5}[/tex].

= [tex]\frac{1}{10}[/tex].

= 0.1 yard.

Length of the each piece = 0.1 yard.

Answer:

x = 24

Step-by-step explanation:

8x + 4(4x - 3) = 4(6x + 4) - 4

8x + 16x - 12 = 24x + 16 - 4

24x - 12 = 24x + 12

24x = 24x + 12 + 12

24x = 24x + 24

24x/24x = 24

x = 24

Answer:

x = -1.142857

Step-by-step explanation:

Start by distributing the 3/2 in the parentheses.

3 = 10.5x + 15

Next, get the variables on one side.  There are a few way to do this, the easiest being to subtract 15 from both sides.

-12 = 10.5x

Now you need to get the variable alone.  Do this by dividing both sides by 10.5.

-1.142857 = x

Hope this helps you out.

Answer:

[tex]\large \boxed{\text{B) 374 mi/day}}[/tex]  

Step-by-step explanation:

The average rate of change from one point to another is the slope of the straight line joining the two points.

[tex]\text{slope} = \dfrac{ y_{2} - y_{1}}{ x_{2} - x_{1}}[/tex]

From Day 1 to Day 3, your points are (1, 383) and (3, 1132).  

[tex]\text{Slope} = \dfrac{1132 - 383 }{3 - 1} = \dfrac{749 }{2} = \textbf{374 mi/day}\\\\\text{The average rate of change from Day 1 to Day 3 was $\large \boxed{\textbf{374 mi/day}}$}[/tex]

The graph below shows the rate of change from Day 1 to Day 3 as a black line. It appears from the graph that Adam and his dad kept the same rate of change for the whole trip.

Answer:

Step-by-step explanation:

Answer:

C) 9 × (20 + 5) = 225

Step-by-step explanation:

The answer is c

9 x (20 + 5 )

9x20 + 9x5

180 + 45 = 225

To model the scenario, we can use the exponential function A = A0 · (1/2)^(t/h), where A is the amount remaining, A0 is the initial amount, t is the time, and h is the half-life. In this case, the initial amount is 100 grams and the half-life is 6 hours. After substituting t = 12 into the function, we find that 25 grams of the isotope remain after 12 hours.

To model the scenario, we can write an exponential function using the formula:

A = A0 · (1/2)t/h

Where:

For this scenario, the initial amount is 100 grams and the half-life is 6 hours. So, the exponential function would be:

A = 100 · (1/2)t/6

To find out how much of the isotope remains after 12 hours, we can substitute t = 12 into the function and solve for A:

A = 100 · (1/2)12/6 = 100 · (1/2)2 = 100 · (1/4) = 25

Therefore, after 12 hours, 25 grams of the isotope would remain.

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Answer:

The graph representing f(x)=6cos(4πx) is shown in the attached file.

Step-by-step explanation:

The graph representing f(x)=6cos(4πx) is shown in the attached file.

Answer:

Correct answer below

Step-by-step explanation:

K12 quiz :)

Answer:

"B"

Step-by-step explanation:

"the median wind speed for country B is greater than the median wind speed for county A"

got it right on the quiz, and good luck ;)

The median wind speed for country B is greater than the median wind speed for county A.

The answer is option B.

A median is a number in the middle of a list of numbers that are sorted, ascended, or descended and can define a set of data. The median is sometimes used in contrast to the definition where there are outsiders in a sequence that may distort the value ratio.

The importance of median value is that it provides an idea about the distribution of data. If the definition and median of the data set are the same, then the data is evenly distributed from the smallest to the highest values.

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The square root of 97 is 8.48857802, but you can round to 8.49 or 8.5 if you so desire.

Answer:

x = 23/14

Step-by-step explanation:

Step 1:  Distribute

9 + 6(10 - 7x)

9 + 6(10) + 6(-7x)

9 + 60 - 42x

69 - 42x

Step 2:  Solve for x

Subtract 69 from both sides:  69 - 42x - 69 = 0 - 69

Divide both sides by -42:  -42x / -42= -69 / -42

Simplify:  x = 23/14

Answer:

  see below

Step-by-step explanation:

The graph of the first inequality is the half-plane above and including the x-axs.

The graph of the second inequality will be the half-plane below the dashed line y = x.

The graph of the third inequality will be the half-plane below the dashed line y = 6 -x.

So, the solution space will be a triangle above the x-axis and below the two (dashed) lines that cross at (x, y) = (3, 3).

Answer:

I think, from what sqdancefan explained, the graph is this one..

Answer:

There will be a total 40 jumps.

Step-by-step explanation:

Every jump a game piece makes measures [tex]\frac{8}{9} = 0.889[/tex].

Now, the piece starts at point A = 7 and jumps to the right.

So, the piece will jump over B = 24  after [tex]\frac{24 - 7}{0.889} = 19.122[/tex] ≈ 20 complete jumps.

Then it switches direction to the left and the piece then stops at point A.

So, there will be a total (20 + 20) = 40 jumps. (Answer)

The game piece took a total of 153/8 jumps.

To determine how many jumps the game piece took, we need to find the total distance it traveled. The piece starts at point A = 7 and jumps to the right, so it covers a distance of 8/9. As soon as it jumps over B = 24, it switches direction and jumps to the left, covering a distance of -8/9. The piece continues this pattern until it reaches point A again.

To find the number of jumps, we can divide the total distance traveled by the distance covered in each jump. The total distance is 24 - 7 = 17. Dividing 17 by 8/9 gives us:

17 / (8/9) = 17 * (9/8) = 153/8

So, the game piece took a total of 153/8 jumps.

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Answer:

90°.

Step-by-step explanation:

When two straight lines intersects obliquely then there will be two angle of intersection, one angle is acute and the other one is obtuse.

But, here the two straight lines AB and xy intersects perpendicularly and AB bisects xy.

Therefore, the two angle of intersection are 90° each.

Hence, the angle of intersection in our case will be equal to 90°. (Answer)

Answer:90 degrees

Step-by-step explanation:

Answer:

-5/3

Step-by-step explanation:

The tax rate is 6 %

Solution:

Given that, A man purchased a magazine at the airport for $ 2.89

The tax on the purchase was $ 0.18

To find: tax rate in percentage

From given,

Magazine price = 2.89

Tax amount = 0.18

Therefore, tax percent is given as:

Let "x" be the tax percent

x % of magazine price = tax amount

x % of 2.89 = 0.18

Solve the equation for "x"

[tex]x \% \times 2.89 = 0.18\\\\\frac{x}{100} \times 2.89 = 0.18\\\\2.89x = 0.18 \times 100\\\\2.89x = 18\\\\Divide\ both\ sides\ by\ 2.89\\\\x = 6.22 \approx 6[/tex]

Thus tax rate is 6 %

Answer:

110 is 125% of 88

Step-by-step explanation:

125% is the same as 125/100

Set this 125/100 equal to x/88

125/100 = x/88

Cross-Multiply (Numerator * Denominator = Numerator * Denominator)

125(88) = 100(x)

11,000 = 100x

Divide both sides of the equation by 100

110 = x

110 is 125% of 88

Hope this helps :)

Answer: x = 110

Step-by-step explanation: Well percent means over 100 so we can set up an equation for this problem by reading it from left to right.

What means x, is means equals, 125% is 125/100, of means times, 250.

So we have the equation [tex]x = \frac{125}{100} (88)[/tex].

Simplifying on the right side of the equation, notice that 125/100 reduces to 5/4 so we have x = 5/4 · 88.

Think of the 88 as 88/1.

So we can cross cancel the 88 and 4 to 22 and 1.

So we have x = 5 · 22 over 1 · 1 or x = 110.

Answer:

4 hours

Step-by-step explanation:

I am not sure, what I did was, if Calvin and Alvin both waxed half the car, their original time would split in half, then I added those values together, which is also the average.

y=mx+b is a pretty safe form to follow

C=3

A=5

if you are doing variables

I tried my best.

Answer:

A= 20959.52 cm

Step-by-step explanation:

Formula: A= π x r^2

A=  π x 81.68^2

A= 20959.52

Answer:

85

Step-by-step explanation:

hello :

if : g(x)= x+7; h(x)= (x-3)²   so : (4g+h)(x)=4g(x)+h(x)  = 4(x+7)+(x-3)²  

(4g+h)(8)=  4(8+7)+(8-3)²  = 60+25=85

Answer:

1:  110 degrees / Opposite angles theorem

2:  70 degrees / Supplementary angles -> 110 + ___ = 180 -> ___ = 70

3:  38 degrees / Supplementary angles -> 142 + ___ = 180 ->  ___ = 38

4:  142 degrees / Opposite angles theorem

5:  38 degrees / Supplementary angles -> 142 + ___ = 180 ->  ___ = 38

6:  142 degrees

7:  142 degrees / Opposite angles theorem

8:  38 degrees / Supplementary angles -> 142 + ___ = 180 ->  ___ = 38

9:  I cant see

10:  137 degrees / Opposite angles theorem

11:  43 degrees / Supplementary angles -> 137 + ___ = 180 ->  ___ = 43

12:  I cant see

13:  43 degrees / Supplementary angles -> 137 + ___ = 180 ->  ___ = 43

14:  137 degrees

Answer:

a = 2 , r = 5

Step-by-step explanation:

The n th term of a geometric progression is

[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

Given the 4 th term is 250, then

ar³ = 250 → (1)

Given the 7 th term is 31250, then

a[tex]r^{6}[/tex] = 31250 → (2)

Dividing the 2 equations gives

[tex]\frac{ar^6}{ar^3}[/tex] = [tex]\frac{31250}{250}[/tex], that is

r³ = 125 ← take the cube root of both sides

r = [tex]\sqrt[3]{125}[/tex] = 5

Substitute r = 5 into (1)

a × 5³ = 250, that is

125a = 250 ( divide both sides by 125 )

a = 2

Answer: a = 2, and r = 5

Step-by-step explanation: What we have been given here is a geometric progression. Every term in the sequence of numbers is derived by multiplying the previous term by a particular number called the common ratio, otherwise known as r. Hence if the first term is 1 for instance, the second term would be derived as 1 x r (which equals 1r), the third term would be derived as 1r x r (which equals 1r squared) and so on.

Having this in mind , we can calculate the Nth term of a geometric progression as

Nth term = a x r{to the power of n - 1}

So if we want to calculate the 4th term for instance, that would be

4th = a x r{to the power of 4 - 1} OR

4th = a x r{to the power of 3}

Similarly to calculate the 7th term would be

7th = a x r{to the power of 7 - 1}

7th = a x r{to the power of 6}

Now that we have been given the 4th (250) and 7th (31250) terms, what we now have is

a x r{to the power of 3} = 250 AND

a x r{to the power of 6} = 31250

a x r{to the power of 6}/a x r{to the power of 3} = 31250/250

After reducing both sides to their simplest form, what we now have is

r{to the power of 3} = 125

If we add the cube root sign to both sides of the equation we would have

r = 5

Having computed r as 5, we can now go back to calculate a as follows;

If a x r{to the power of 3} = 250, then

a x 125 = 250

Divide both sides of the equation by 125

a = 2

Therefore, a = 2 and r = 5

Option C 40-2 x

150 square feet

Step-by-step explanation:

Step 1 :

Given that the 3 sides, a,b, and x will be made of 40 feet of fencing,

we have a + b + x = 40

Since this is a rectangular garden , b= x

substituting b= x, we have a + x  + x = 40

=> a+2 x = 40

=> a= 40-2 x

Step 2 :

To find the area in square feet,

when x = 15, a = 40 -  2 * 15 = 40-30 = 10 feet

The length and breadth of the rectangular garden are therefore 5 and 10 feet respectively

Hence, the area of the garden = length  * breadth = 15 * 10 = 150 square feet

Answer:

Therefore out of Mr. Pringles 110 students we can expect the number that would prefer pepperoni pizza topping would be 66 students.

Step-by-step explanation:

If 3 out of every 5 students in Mr.Pringles math class prefers pepperoni pizza topping then the probability of a randomly selected student in Mr. Pringles prefers pepperoni pizza is [tex]\frac{3}{5} = 0.6[/tex].

Therefore out of Mr. Pringles 110 students we can expect the number that would prefer pepperoni pizza topping would be = 0.6 [tex]\times[/tex] 110 = 66 students.

Yo sup??

since the two angles are vertically opposite angles therefore they must be equal

7x-17=4x+40

3x=57

x=19

Angle2=4x+40

=116

Hope this helps.

Answer:

38/x

Step-by-step explanation:

quotient is / (division)

just fill in the slots

__ / __

38 / __

38 / x

The algebraic expression for the phrase 'the quotient of 38 and x' is

38 ÷ x.

The word phrase "the quotient of 38 and x" can be translated into an algebraic expression as follows:

"The quotient" refers to division, so we will use the division symbol (÷).

"38" represents the numerator of the quotient, the number that is being divided.

"x" represents the denominator of the quotient, the number by which we are dividing.

Therefore, the algebraic expression for "the quotient of 38 and x" is:

38 ÷ x

In this expression, 38 is divided by x, and the result of this division is the value of the expression.

Depending on the value of x, the result will change accordingly.

If x were equal to 2, for example, then the expression would evaluate to 38 ÷ 2 = 19. If x were equal to 5, the expression would evaluate to 38 ÷ 5 = 7.6, and so on.

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Answer:

Dimension is the square root of 4w-10

Step-by-step explanation:

The length=Breadth=√4w-10

Final answer:

The expression for the area of the rectangle, 4w - 10, can be factored as 2(2w - 5). This implies that one of the rectangle's dimensions could be 2 units and the other could be a linear expression of 2w - 5 units.

Explanation:

To factor the expression 4w - 10 square units, we can find the greatest common factor (GCF) of the two terms. The GCF of 4w and 10 is 2, so we can factor out 2 from the expression:

4w - 10 = 2(2w - 5)

Given the factored form, we can conclude something about the dimensions of the rectangle. The factored expression, 2(2w - 5), suggests that one dimension of the rectangle could be 2 units, and the other is a linear expression of width, specifically 2w - 5 units. This aligns with the area formula for rectangles, A = length × width, where one dimension is considered the length and the other the width for calculation purposes.