What is the median: _____

enter the whole number and only 1 decimal value in this answer

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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Answer:

\(\bold{\dfrac{6}{7}}\)

Step-by-step explanation:

Given ratio is:

8 gal to \(9\frac{1}3\) gal

To find:

Ratio in Lowest form with whole numbers in numerator and denominator.

Solution:

First of all, let us convert \(9\frac{1}3\) to simple \(\frac{p}{q}\) form:

Formula:

\(a\dfrac{b}{c} = \dfrac{a\times c+b}c\)

Using the formula, we get:

\(9\dfrac{1}{3} = \dfrac{9\times 3+1}{3} = \dfrac{28}{3}\)

Now, let us have a look at the ratio:

\(8 : \dfrac{28}{3}\)

Any ratio, \(p:q\) can be written as \(\frac{p}{q}\).

Writing given ratio as per above:

\(\dfrac{8}{\dfrac{28}{3}}\\\Rightarrow \dfrac{8 \times 3}{28}\\\Rightarrow \dfrac{2\times 3}{7}\\\Rightarrow \bold{\dfrac{6}{7}}\)

Therefore, the answer is

\(\bold{\dfrac{6}{7}}\)

Answer:

A. 8

Step-by-step explanation:

The angle shown is a 90 degree right angle (shown by the box where the vertex is)

We see that the first angle inside the right angle is 50 degrees, so the other angle must be 40 because the degrees must add up. We can set up an equation here.

\(5x=40\)

After dividing both sides by 5, we get x = 8

Answer:

6561 x 19683

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

In the arithmetic sequence \(t_1\), \(t_2\), \(t_3\), ..., \(t_n\), \(t_1=23\) and \(t_n= t_{n-1} - 3\) for each n > 1. What is the value of n when \(t_n = -4\)?

A. -1

B. 7

C. 10

D. 14

E. 20

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E.

MGMAT 1 --> 530

MGMAT 2--> 640

MGMAT 3 ---> 610

GMAT ==> 730

Answer:

4 + 3(n-1)

Step-by-step explanation:

Sequences start from n=1,2,3....

In this case

4 + 3(1-1)= 4

4 + 3(2-1) =7

And continue the pattern

The output of the code above is 18 6 2 0.
The value of x is set to 18

The while loop checks if x is equal to 0 and as it is not, it enters the while loop
It prints the current value of x, which is 18
It then assigns x the value of x divided by 3, which is 6
The loop then runs again and prints 6
x is assigned the value of 6 divided by 3, which is 2
The loop then runs again and prints 2
x is assigned the value of 2 divided by 3, which is 0
The loop then runs again and prints 0
The loop checks if x is equal to 0 and it is, so the loop ends and the output of the code is 18 6 2 0.

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Answer:

Acute and isosceles

Step-by-step explanation:

Acute triangle because with all sides equal, all the angles are acute

Isosceles triangles have (at least) 2 equal sides. This is actually an equilateral triangle, where all 3 are equal. A scalene triangle has 3 unequal sides.

Jacob wants to use a one-to-one ratio of nuts to raisins, he needs an equal amount of each ingredient.Total trail mix he can make would be sum of weights of nuts and raisins, which is 6/10 + 3/10 = 9/10 of a pound.

Jacob has 6/10 of a pound of nuts and 3/10 of a pound of raisins. To make trail mix using a one-to-one ratio of nuts to raisins, he would need an equal amount of each ingredient. Since Jacob wants to use a one-to-one ratio of nuts to raisins, he needs an equal amount of each ingredient.

The weight of nuts is 6/10 of a pound, and the weight of raisins is 3/10 of a pound. To find the total trail mix Jacob can make, we add the weights of nuts and raisins: 6/10 + 3/10 = 9/10 of a pound. Therefore, Jacob can make 9/10 of a pound of trail mix using the available nuts and raisins.

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Jacob can make 9/10 of a pound of trail mix by using a one-to-one ratio of nuts and raisins.

To determine how much trail mix Jacob can make, we need to find a common denominator for the fractions of nuts and raisins. The common denominator for 10 and 10 is 10. So, we can rewrite the fractions as 6/10 pounds of nuts and 3/10 pounds of raisins. Since the ratio is one to one, Jacob can combine the fractions to get 9/10 pounds of trail mix. Therefore, "Jacob can make 9/10 of a pound of trail mix."

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Answer:

<L,<K,<M

Step-by-step explanation:

angle M us the largest angle I think

Answer:

Step-by-step explanation:

Equation of Red Line

Equation of Blue Line

Answer:$22.50

Step-by-step explanation: you save $7.50

Sale price of shoes = $22.5

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, we have to divide the given number by the whole number and multiply by 100.

Given,

Cost of shoes = $30

Discount on shoes = 25%

Discount = (25/100) × 30

Discount = 750/100

Discount = $7.5

Sale price = Cost - discount

Sale price = $30 - $7.5

Sale price = $22.5

Hence, $22.5 is the sale price of shoes.

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Question 1: Given \(1/10p=p-279\) find \(p\)

Answer:

\(p=310\)

Step-by-step explanation:

1. Subtract \(p-279\) from both sides: \(279-\frac{9p}{10}=0\)

2. Subtract \(279\) from both sides: \(\frac{9p}{10}=-279\)

3. Multiply both sides by reciprocal \(\frac{10}{9}\): \(p=310\)

Question 2: Given \(1/2p=p-155\) find \(p\)

Answer:

\(p=310\)

Step-by-step explanation:

1. Subtract \(p-155\) from both sides: \(155-\frac{p}{2}=0\)

2. Subtract \(155\) from both sides: \(-\frac{p}{2}=-155\)

3. Multiply both sides by reciprocal \(\frac{2}{1}\): \(-p=-310\)

4. Multiply both sides by \(-1\): \(p = 310\)

a. The function n(p) that represents the cost of the paints with the 15% discount is n(p) = 6.99p - 0.15(6.99p).

b. The 15% discount reduces the cost of the paints from 34.95 to 29.70.

Discount is term used for reduction in the original price of a good or service. It is a common practice used by retailers and businesses to attract customers.

a. The function n(p) that represents the cost of the paints with the 15% discount is given by:

n(p) = 6.99p - 0.15(6.99p)

= 5.94p

b. The cost of purchasing 5 paints before the discount is 6.99 x 5 = 34.95.

The cost of purchasing 5 paints after the discount is 5.94 x 5 = 29.70.

Therefore, the 15% discount reduces the cost of the paints from 34.95 to 29.70.

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22 students study both subjects.

What is Venn diagram in math ?

N=55,n(M)=23,n(P)=24,n(C)=19,n(M∩P)=12,n(P∩C)=7,n(M∩C)=9,n(M∩P∩C)=4

Now, number of students who studying only Mathematics

n(M∩P)∩C =n(M)−n(M∩P)−n(M∩C)+n(M∩P∩C)    (by  Venn diagram) diagram=23−9−12+4=6

number of students who studying only Physics

n(P∩M )∩C  =n(P)−n(P∩M)−n(P∩C)+n(P∩M∩C)    (by Venn diagram)

                =24−12−7+4=9

Now, number of students  who studying only Chemistry

n(C∩M  )∩P =n(C)−n(C∩M)−n(C∩P)+n(M∩P∩C)    (by Venn diagram)

                    =19−9−7+4=7

So, how many students study only one of the three disciplines in detail                                                            6+9+7=22

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Answer:

b

Step-by-step explanation:

you add all of the expenses and then yeah

Answer:

ok that is so hard I CAN not do it

Answer:

i am tired of being single but i do not no at all that seems really hard i feel bad for u

Step-by-step explanation:

Answer:

Step-by-step explanation:

( 2x - 8 )° = ( x + 28 )° ⇒ x = 36

m∠1 = m∠4 = 180° - ( 36 + 28 )° = 116 °

m∠2 = 123° - 64° = 59 °

m∠3 = 123 °

Generally, a quotient of polynomials is decomposed into at least two partial fractions.

Any valid quotient of polynomials may be broken down into its component parts. When the degree of the numerator is lower than the degree of the denominator, a function is considered to be properly rational. Expressing a valid rational function as the sum of smaller fractions with certain denominators is the first step in breaking it down into partial fractions.

This decomposition can be helpful in a variety of mathematical situations, such as when solving equations involving rational functions or integrals. The denominator's factors determine the partial fractions' form. In particular, the rational function may be broken down into partial fractions with denominators matching to those factors if the denominator of the correct rational function can be factored into linear and/or quadratic irreducible components.

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Answer:

Apothem = 3.3 units

Step-by-step explanation:

A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.

The formula to find the area of a polygon when given Apothem and Side length =

A = 1/2 × a × p

Where p = no of sides of polygon × side length

In the above question,

We are given a polygon = nonagon = 9 sides

Side length = 7 units

p = 9 × 7 = 63 units

Area = 102.4 square units

Apothem = a = ?

We substitute into the formula

102.4 = 1/2 × a × 63

102.4 = 63a/2

Cross Multiply

102.4 × 2 = 63a

Divide both sides by 63

a = 102.4 × 2/63

a = 3.2507936508 units

Approximately to the nearest tenth = 3.3 units

An example of a linear inequality:  5m > 7 + 3p

We know that the linear inequality in two variables represents the inequalities between two algebraic expressions with two variables .

It is an unequal relation between two algebraic expressions.

The symbols used between the expression: less than ‘<’,

greater than ‘>’,

less than or equal to ‘≤’

greater than equal to ‘≥’,

consider an example of a linear inequality:

3x < 2y + 5

5m > 7 + 3p

We can say that a linear inequality is like a linear equation (ax + by = c) but it has an inequality (like <, >, ≤, or ≥) instead of an =

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After transforming f (x) = 2x2 + 4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex ?

A. (0,3)

B. (1,1)

C. (-1,1)

OD. (-3,0)

Step-by-step explanation:

C.(-1,1)

Answer:

You deposit $2000 in an account that earns 5% annual interest compounded quarterly. Find the account balance after 10 years

Answer:

mRS. lOPEZ HAS TWO KINDS OF FLOWERS IN HER GARDEN. THE RATIO OF LILLIES TO DAISIES IN THE GARDEN 5:3

Step-by-step explanation:

HELP ME

a. Yes, this artist has enough small prisms.

b. The volume of the new prism is 22.467 cubic meters.

In Mathematics and Geometry, the volume of a triangular prism can be determined or calculated by using the following formula:

Volume of triangular prism, V = 1/2 × base area × height of the prism.

For the volume of the 20 small 20 triangular prisms, we have the following:

Volume of 20 small triangular prisms, Vs =  1/2 × 1.4 × 1.7 × 1.18 × 20

Volume of 20 small triangular prisms, Vs = 28.084 cubic meters.

For the volume of the giant triangular prism, we have the following:

Volume of giant triangular prism, Vg =  1/2 × 5.6 × 6.8 × 1.18

Volume of giant triangular prism, Vg = 22.467 cubic meters.

Part a.

Since the volume of the 20 small 20 triangular prisms is greater than the volume of the giant triangular prism, this artist has enough small prisms.

Part b.

Based on the calculations above, the volume of the new prism is 22.467 cubic meters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

7/9

Step-by-step explanation:

The total of livestock can be expressed with the fraction: 9/9

We know that 2/9 are younger than 2 years, so we can answer the question thanks to this operation:

9/9 - 2/9 = 7/9

Probability of obtaining a 3 and a tail using a fair dice and coin is ( 1/12 ).

The likelihood that an event will occur is measured by probability. It is difficult to provide a complete prediction for many events. Using it, we are only able to estimate the likelihood that an event will occur, or the chance that it will. Between 0 and 1, where 1 denotes a certain event and 0 denotes an impossibility, is the range of probabilities. Students should pay close attention to the lesson on probability for Class 10 because it covers all the fundamental ideas. In a sample space, there is a probability of 1 for each event.

Here we use the multiplicative property of probability

In dice,

Outcome = 6 which is  (1, 2, 3, 4, 5, 6)

For obtaining 3,

Total Probability = \(\frac{1}{6}\)

in Coin,

Outcome = 2 which is ( Head, Tail )

For obtaining tail,

Total probability = \(\frac{1}{2}\)

Now by using multiplicative theorm of probability,

we get,

( 1/6 )×( 1/2 ) = ( 1/12 )

Hence, the probability will be ( 1/12 )

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Answer:

it is 15 percent decay

Step-by-step explanation:

Angle of elevation of the ramp with a height of 27ft and a platform of 16ft is approximately 59.35°.

The ramp is 27ft long and rises to a platform, the bottom of the platform is 16ft from the foot of the ramp.

We need to find the angle of elevation of the ramp.

The angle of elevation of the ramp is the angle made by the ramp with the horizontal.

Let ABC be the ramp and D be the platform, as shown below: Let AB = 16ft and BC = 27ft.

We need to find the angle ABD.

Consider right-angled ΔABC In right-angled ΔABC,

we have:

tan⁻¹ (BC / AB)

θ  = tan⁻¹ (27 / 16)

θ ≈ 59.35°

Hence, the angle of elevation of the ramp is approximately 59.35°.

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Answer: The length AC equals 10.25 cm (approximately)

Step-by-step explanation: Please refer to the diagram attached for further details.

The triangle has been constructed according to the dimensions provided with the top B going down to the "little square inside the triangle" which is C. This clearly identifies it as a right angled triangle. The point B meets with point C at the right angle and A is the sharp tip of the triangle, which makes point A the third angle. Hence we now have a right angled triangle with side AB measuring 11 cm, side BC measuring 4 cm and side AC is unknown.

We can now apply the Pythagoras' theorem which is stated as follows;

AC² = BC² + AB²

Where AC is the hypotenuse (longest side) and BC and AB are the other two sides. We can now substitute for the appropriate sides in this question as all the sides have been labelled differently. Hence,

BA² = BC² + CA²

11² = 4² + CA²

121 = 16 + CA²

Subtract 16 from both sides of the equation

105 = CA²

Add the square root sign to both sides of the equation

√105 = √CA²

10.2469 = CA

CA ≈ 10.25 cm

The third side AC (or CA) measures approximately 10.25 cm

It will take 10 days for 1023 students to know the secret.

We can start by using the formula for exponential growth: n = 2^k

where n is the number of students who know the secret and k is the number of days.

On Monday, 1 student knew the secret (Jessica). On Tuesday, 2 students knew the secret. On Wednesday, 2 x 2 = 4 students knew the secret. And so on, each day the number of students who know the secret doubles.

We want to find k when n = 1023, so we can solve for k:

1023 = 2^k

log2 1023 = k

k = 10

So, it takes 10 days for 1023 students to know the secret. Since Monday was the first day, the 10th day is 10 days after Monday, which is a Thursday. Therefore, on Thursday, 1023 students will know the secret.

Therefore, It will take 10 days for 1023 students to know the secret.

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It will take 10 days for 1023 students to know the secret.

We can start by using the formula for exponential growth: n = 2^k

where n is the number of students who know the secret and k is the number of days.

On Monday, 1 student knew the secret (Jessica). On Tuesday, 2 students knew the secret. On Wednesday, 2 x 2 = 4 students knew the secret. And so on, each day the number of students who know the secret doubles.

We want to find k when n = 1023, so we can solve for k:

1023 = 2^k

log2 (1023) = k

k = 10

So, it takes 10 days for 1023 students to know the secret. Since Monday was the first day, the 10th day is 10 days after Monday, which is a Thursday. Therefore, on Thursday, 1023 students will know the secret.

Therefore, It will take 10 days for 1023 students to know the secret.

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