1. find the measure of each angle

I would say C because it does not have a 90° angle, but the rest has at least 1 90° angles.

The sum of two even integers or two odd integers is always even. However, the sum of an even and an odd integer is always odd.

The sum of two even integers or two odd integers is always even because an even integer is a multiple of two. Therefore, if two even integers are added together, the sum will also be a multiple of two (an even integer). Similarly, an odd integer is a multiple of two plus one, so when two odd integers are added together, the sum will be a multiple of two plus two (an even integer). On the other hand, the sum of an odd and an even integer is always odd because an even integer is a multiple of two and an odd integer is a multiple of two plus one. Therefore, when an even and an odd integer are added together, the sum will be a multiple of two plus one (an odd integer).

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Answer:

It is exponential

Step-by-step explanation:

This is because there is an exponent

Answer: I need points don’t read

Step-by-step explanation:

The Pink Party Punch has a stronger lemon-lime flavor because it has a higher volume of 6 liters.

Volume can be defined as the total quantity of a substance that a container can hold at a given period of time. Also, the volume of a container is measured in:

Based on the information provided in the table above, we can infer and logically deduce that the Pink Party Punch has a stronger lemon-lime flavor because it has a higher volume of 6 liters.

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Answer:

I thinksomething is wrong.

I'm getting another proving it's-tan thita.

I hope this is the one you are searching for..

So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

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Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

Answer:

im a potato

Step-by-step explanation:

If he paid $57 monthly for 14 months, the total amount paid is:

He paid $798 in total

Answer:

300 miles

Step-by-step explanation:

200/2.1= 95.238...

95.238...*3.15=300

Hope this helps :)

The actual distance between City C and City​ D will be 300 miles.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The distance between City A and City B is 200 miles. A length of 2.1 feet represents this distance on a certain wall map. Then the scale factor is given as,

Scale factor = 200 / 2.1 miles per foot

City C and City D are 3.15 feet apart on this map. Then the actual distance is given as,

Distance = 3.15 x 200 / 2.1

Distance = 1.5 x 200

Distance = 300 miles

The actual distance between City C and City​ D will be 300 miles.

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After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.

To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:

Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)

where:

P = the initial loan amount (in this case, $219,000)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)

b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)

First, we need to calculate the monthly interest rate:

r = 4.5% / 12 = 0.00375 = 0.375%

Next, we can plug in the values to get:

Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)

= $145052.36

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The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

7/36

Step-by-step explanation:

It is given that we have two dice numbered from 1 to 6 . The maximum sum that can be obtained by rolling two dice is 6+6 = 12 and the minimum sum that can be obtained by rolling is 1+1 = 2 .

Now between 2 and 12 , the numbers which are perfect square are 4 and 9 .

Getting a sum of 4 :-

We can get a sum of four from two dice as ,

Getting a sum of 9 :-

So there are a total of 7 possibilities by which we can can get a perfect square number by rolling two dices .

Now total number of possible outcomes = 6*6 = 36 .

Henceforth the required probability would be ,

\(\rm\implies P( getting \ a \ square\ number) =\dfrac{Total \ number\ of \ favourable\ outcomes}{Total \ number \ of \ possible \ outcomes} \)

\(\rm\implies \underline{\underline{\red{ P( getting \ a \ square\ number)=\dfrac{7}{36}}}}\)

Hence the required probability is 7/36 .

The probability of getting a square number as the sum is therefore 7/36.

WHAT IS PROBABILITY ?

Probability is a branch of mathematics that deals with the study of random events or phenomena. It involves analyzing the likelihood of an event occurring, given the conditions or circumstances that surround it. Probability is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is widely used in many fields, including statistics, physics, finance, engineering, and social sciences, to name a few.

There are 36 possible outcomes when two dice are thrown since each die has 6 possible outcomes.

Let's find the possible outcomes where the sum of the numbers on the dice is a square number. The only possible sums that are squares are 4, 9 and 16.

To get a sum of 4, the dice must land on 1 and 3 or 3 and 1. There are two possible ways of doing this, so there are 2 outcomes.

To get a sum of 9, the dice must land on 3 and 6, 4 and 5, 5 and 4, or 6 and 3. There are four possible ways of doing this, so there are 4 outcomes.

To get a sum of 16, the dice must both land on 6. There is only one possible way of doing this, so there is 1 outcome.

Therefore, there are 2 + 4 + 1 = 7 outcomes where the sum of the numbers on the dice is a square number.

The probability of getting a square number as the sum is therefore 7/36.

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Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

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Answer:

Step-by-step explanation:

I= P*r*T

Interest equals 10,000 times 5% times 5 years

$2500  is the total interest.

The total loan to be paid after the tenure of 5 yrs will be $12500 and the interest incurred is $2500.

Simple interest is the cost of borrowing money without accounting for the effects of compounding.

Given is a loan at a principal amount of $10,000 at a rate of 5% for 5 years.

The total amount [A] to be paid after the tenure of 5 yrs will be -

A = P(1 + rt)

A = 10000(1 + 0.05 x 5)

A = 12500

The amount of interest incurred = A - P = 12500 - 10000 = 2500

Therefore, the total loan to be paid after the tenure of 5 yrs will be $12500 and the interest incurred is $2500.

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Answer:

x = 15

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divides the side opposite the bisected angle into segments that are proportional to the other two sides, that is

\(\frac{x}{21-x}\) = \(\frac{25}{10}\) ( cross- multiply )

10x = 25(21 - x)

10x = 525 - 25x ( add 25x to both sides )

35x = 525 ( divide both sides by 35 )

x = 15

The two statements that are both true are:

Lines f g and d e are straight lines that are next to each other and they will never intersect, meaning they will always maintain a fixed distance between them. On the other hand, lines a c and d e are next to each other and could intersect, meaning they are not fixed in their relative position and may cross each other at some point.

As for the intersection between line f g and line h b, a right angle is formed, which implies that line f g is perpendicular to line h b. This is a defining characteristic of a right angle, which means the two lines are at a 90-degree angle to each other.

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Answer: 0.3

Step-by-step explanation: If you re-order them in order of least to greatest, then 0.3 would be in the center

6.25

meters per second or

22.5

kilometers per hour

Explanation:

1500

meters in

4

minutes or

240

seconds means

1500

240

=

1500

25

240

4

=

25

4

=

6.25

meters per second (dividing by

60

)

or

6.25

×

3600

=

22500

meters per hour

or

22.5

kilometers per hour.

Answer:

(C) A diation followed by reflection

Step-by-step explanation:

if you dialate a shape then that shape can not be congruent to the previous one because it is not the same size, so it is similar but not congurent

Hence , the rock will be 3 meters from ground level in 4.55 seconds.

It is given that  rock is thrown upward with a velocity of 12 meters per second from the top of a 50 meter high cliff, and it misses the cliff on the way back down.

Using newton's equation s = ut + 1 /2 at² + s₀

where v₀ is velocity and s₀ is the height above ground when thrown, then we have

Putting u = 12 , a = -g = - 9.8 m/s² , s = 3 , s₀ = 50

 3 = 12t + 1 / 2 (-9.8)t² + 50

 0 = 12t - 4.9t²+ 47

4.9t² -12t - 47 = 0

Putting a = 4.9 , b = -12 , c = -47 in quadratic formula , we get

    t = -(-12) ± √(-12)²-4(4.9)(-47) / 2(4.9)

      = 12 ± √144 + 921.2 /9.8

       = 12 ± √1065.2 /9.8

        = 12 ± 32.63/9.8

         = 44.63/9.8

          = 4.55 s

We will consider only positive value as time cannot be in negative

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Answer:

Store compressed gas cylinders in cool, dry, well ventilated areas. make sure the temperature of the storage room never exceeds 52°C. Store, handle, and use compressed gas cylinders away from incompatible materials and ignition sources

Answer:

The gas and fuel should be compressed in cool and dry place.

Answer:

The slope is 4 and the y-intercept is (0,-2)

Answer:

(a) 440/264 * 3 = 5

(b) 8/3 * 264 = 704 days

Answer:

1. 729,000,000

2. 8

3. 483,729,408

4.

5.2

(c) The argument is valid, and we can conclude that Penelope missed class because she got a detention.

(e) The argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.

(c) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:

Let "M(x)" be the predicate "x missed class", and "D(x)" be the predicate "x got a detention".

Hypotheses: M(Penelope), D(Penelope)

Conclusion: M(Penelope)

Using modus ponens, which states that if P implies Q and P is true, then Q must be true, we can conclude that M(Penelope) is true:

From M(Penelope) and "Every student who missed class got a detention", we have D(Penelope)

From D(Penelope), we have M(Penelope)

So, the argument is valid, and we can conclude that Penelope missed class because she got a detention.

(e) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:

Let "M(x)" be the predicate "x missed class", "D(x)" be the predicate "x got a detention", and "A(x)" be the predicate "x got an A".

Hypotheses: A(Penelope), ~D(Penelope)

Conclusion: ~M(Penelope)

Using modus tollens, which states that if P implies Q and Q is false, then P must be false,

we can conclude that M(Penelope) is false:

From A(Penelope) and "Every student who missed class or got a detention did not get an A",

we have ~M(Penelope) & ~D(Penelope)

From ~D(Penelope), we have ~M(Penelope)

So, the argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.

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Combining like terms yields 7x⁵ - x³ - x² + 4x.