I need to solve for the indicated pieces of the right triangle and round sides and angles to the nearest tenth also find What x = and m

The numbers of nickels in a boys bank is 1 less that twice the number of dimes. if the total value of the coins in the bank is at least 4.37. There are smallest 87 number of coins are dimes

Nickel:

The nickel is a five-cent coin minted by the United States Mint. Made of cupronickel (75% copper, 25% nickel), this piece has been published since 1866. It has a diameter of 21.21 mm (0.835 inches) and a thickness of 1.95 mm (0.077 inches). The

Dine:

Dime is a dime in U.S. terminology, officially called a "one cent". The name was first authorized by the Money Act of 1792.

The dime is the smallest in diameter and thinnest US coin currently minted for circulation at 0.705 inches (17.91 millimeters) and 0.053 inches (1 inch) in diameter.

According to the question:

We know that 1 Nickel = $0.05

and                  1 Dime = $ 0.10

Let Nickel be denoted as N

and, Dime be denoted as D

Now,

N +D = 1 - 2D  

⇒ N + 3D = 1          ------------------------- (1)

And,

0.05N +0.10D = 4.37 ------------------------- (2)

solving the equation (1) and (2), we get,

N = 261

putting N = 261 in equation (1), we get,

D = 87

Therefore,  there are total 261 nickel and 87 Dimes

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Answer:

In geometry, postulates are statements that are accepted as true without proof. The three postulates for congruent triangles are ASA, SSS, and SAS. These postulates are used to prove that two triangles are congruent.

ASA Postulate:

ASA stands for "Angle, Side, Angle." This postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Visual example:

In the above image, ΔABC and ΔDEF have ∠A ≅ ∠D, ∠B ≅ ∠E, and AB ≅ DE. Therefore, we can conclude that ΔABC ≅ ΔDEF by ASA postulate.

SSS Postulate:

SSS stands for "Side, Side, Side." This postulate states that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Visual example:

In the above image, ΔABC and ΔDEF have AB ≅ DE, BC ≅ EF, and AC ≅ DF. Therefore, we can conclude that ΔABC ≅ ΔDEF by SSS postulate.

SAS Postulate:

SAS stands for "Side, Angle, Side." This postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Visual example:

In the above image, ΔABC and ΔDEF have AB ≅ DE, BC ≅ EF, and ∠B ≅ ∠E. Therefore, we can conclude that ΔABC ≅ ΔDEF by SAS postulate.

Overall, the ASA, SSS, and SAS postulates are important tools in proving the congruence of triangles in geometry. They allow us to make logical deductions about the properties of triangles based on their corresponding angles and sides.

Answer:

They are different because ASA means that the two triangles have two angles and the side between the angles congruent. SAS means that two sides and the angle in between them are congruent

Step-by-step explanation:

and sss If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.

Answer:

I think it's (B) and (D)

Step-by-step explanation:

As to what I have studied

Mean, median and mode are the three principles of describing data.

Describing data:- Describing data is also called descriptive statistics, that describes the data through several methods such as graphical representations, central tendency, variability. It summarizes the data efficiently, which helps to make any conclusion on that dataset.

The three principles of describing data are-

Thus we can conclude that, mean, median and mode are the three principles of describing data.

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Answer: See explanation

Step-by-step explanation:

Let the number of hamburger he ate on Monday be represented by x.

Monday = x

Tuesday = 0

Wednesday = x + 4

Thursday = 0

Friday = 3(x + 4)

Total hamburgers ate = 26

To find the amount of hamburger ate each day we add the number of hamburger ate per day all together. This will be:

= x + 0 + x + 4 + 0 + 3(x+4) = 26

2x + 4 + 3x + 12 = 26

5x + 16 = 26

5x = 26 - 16

5x = 10

x = 10/5

x = 2

Monday = x = 2 hamburgers

Tuesday = 0

Wednesday = x + 4 = 2 + 4 = 6 hamburgers

Thursday = 0

Friday = 3(x + 4) = 3(2 + 4) = 18 hamburgers

Answer:

13m+11p−2357947567

Step-by-step explanation:

Answer:

13+11−2357947567

Step-by-step explanation:

The number of reindeer in St. Elsewhere in 1920 will be approximately 475.

The growth rate of .12 indicates an annual increase of 12%, meaning that each year the number of reindeer will be multiplied by 1.12. To find the number of reindeer in 1920, we need to use this growth rate over the 20-year period from 1900 to 1920.
Starting with the initial 52 reindeer, we can multiply by 1.12 for each year. This gives us:
Year 1: 52 * 1.12 = 58.24
Year 2: 58.24 * 1.12 = 65.10
Year 3: 65.10 * 1.12 = 72.90
Year 4: 72.90 * 1.12 = 81.60
Year 5: 81.60 * 1.12 = 91.15
Year 6: 91.15 * 1.12 = 101.66
Year 7: 101.66 * 1.12 = 113.27
Year 8: 113.27 * 1.12 = 126.13
Year 9: 126.13 * 1.12 = 140.43
Year 10: 140.43 * 1.12 = 156.36
Year 11: 156.36 * 1.12 = 174.16
Year 12: 174.16 * 1.12 = 194.10
Year 13: 194.10 * 1.12 = 216.45
Year 14: 216.45 * 1.12 = 241.58
Year 15: 241.58 * 1.12 = 269.87
Year 16: 269.87 * 1.12 = 301.72
Year 17: 301.72 * 1.12 = 337.62
Year 18: 337.62 * 1.12 = 378.10
Year 19: 378.10 * 1.12 = 423.77
Year 20: 423.77 * 1.12 = 475.30
Therefore, the number of reindeer in St. Elsewhere in 1920 will be approximately 475.

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Answer:

A

Hope this helps!!

Step-by-step explanation:

The inverse of the function will be y = x / 2 - 4. Then the correct option is A.

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by the swapping of x with y and y with x.

If x is added to 4 and then multiplied by 2, then the function is f(x) = 2(x +4). Then the inverse of the function will be

x = 2(y +4)

Simplify the equation, then the inverse function will be

x / 2 = y + 4

y = x / 2 - 4

The inverse of the function will be y = x / 2 - 4.

Then the correct option is A.

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Answer:

The solution is (1, 2). That's the solution because that's where the two lines meet.

Step-by-step explanation:

Answer:

Step-by-step explanation:

because ( 90 - 100 ) frequency is greater than all other intervals.

The mode interval for the histogram is (90 - 100).

Option B is the correct answer.

A histogram is a representation of the distribution of data with intervals.

We have,

Mode interval in a histogram is the interval in which the values of the data occur the most.

Now,

From the histogram, we see that,

The interval (90 - 100) has the most date values.

Thus,

The mode interval is (90- 100).

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Answer:

This is the answer I got to this problem.

-6.511

For solving equation using substitution, the variable that is chosen is the one that makes the calculation easier.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

When solving a system of equations by substitution, we usually choose one of the variables to solve for in one of the equations, and then substitute that expression for that variable in the other equation.

This allows us to eliminate one of the variables and solve for the other variable.

To decide which variable to substitute, we want to choose the variable that will make the process of elimination as easy as possible.

This often means choosing the variable that has a coefficient of 1 or -1 in one of the equations, because then we can easily isolate that variable and substitute its expression in the other equation.

Another consideration is to choose the variable that appears in both equations, if possible.

This makes the process of substitution simpler because we don't have to introduce a new variable.

Ultimately, the choice of which variable to substitute will depend on the specific equations in the system and the solver's preference and experience.

Therefore, the variable is chosen on convenience basis.

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Answer:

A=0 B=4 C=2

Step-by-step explanation:

check your answer in the attached file

Answer:

Adding 18 to both sides isolates the variable term.

Step-by-step explanation:

APEX

Answer:

The answer is B. i.e. 6.6units.

we have the inequality

5+10(x-9) < -103-(7-5x)

solve for x

apply distributive property left side and remove the parenthesis right side

5+10x-90 < -103-7+5x

Combine like terms

10x-85 < 5x-110

Group terms

10x-5x < -110+85

5x < -25

x< -25/5

x < -5

the solution is the interval (-inf, -5)

set builder notation

x| x < -5

A. To determine if an integral is convergent, we analyze the function's behavior, integrability, apply integration techniques, and examine its limits, ensuring they are finite, leading to a finite result.

B. To determine if an integral is divergent, we look for infinite limits, vertical asymptotes, and erratic behavior within the integration interval, indicating the lack of a finite value for the integral.

A. To determine if an integral is convergent, we need to consider several approaches. First, we check for basic convergence criteria such as infinite limits or vertical asymptotes.

Then, we examine integrability, ensuring the function is continuous or has a finite number of discontinuities. Next, we simplify the integral using integration techniques.

Finally, we analyze the behavior of the function at infinity and apply comparison tests if necessary to establish convergence.

B. To determine if an integral is divergent, we follow a series of steps. First, we check for basic divergence criteria such as infinite limits or vertical asymptotes.

Then, we examine integrability, looking for discontinuities that prevent integration. Next, we simplify the integral using integration techniques. Finally, if the integral does not converge, it is deemed divergent.

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Answer: 46

Step-by-step explanation:

Answer:

72m²

Step-by-step explanation:

yeh that's pretty easy actually

Answer:

your friend is faster.

Step-by-step explanation:

2 km in 12 min means 3 km in 18 min.

you friend jogs those same 3 km in 16.5 min, so he or she is faster.

Answe 38.48451m²:

Step-by-step explanation A=1

4πd2=1

4·π·72

Answer:

$18

Step-by-step explanation:

1 pound of raisins = $2

1 pound of almonds = $5

Let the number of raisins be represented by a

Let the number of almonds be represented by b

We are told in the question that:

Six pounds of a trail mix contains 2 more pounds of raisins than almonds.

a + b = 6 pounds

Hence, Almonds = 2 pounds

Raisins = 4 pounds

The cost of the 6 pounds of trail mix

= 4 × $2 + 2 × $5

=$8 + $10

= $18

Answer:

PA = \(\sqrt{29}\)

AC =\(\sqrt[2]{5}\)

Step-by-step explanation:

distance formula : if \((x_{1},y_{1}) and (x_{2},y_{2})\) are two points on a line segment then distance between both the points is given by distance formula.

\(d = \sqrt{[(x_{2} - x_{1} )^2 +(y_{2} - y_{1})^2]}\)

therefore ,

given points are , A(2, 5),  P(0, 0), C(-2, 7).

so PA = \(\sqrt{[({2} - {0} )^2 +({5} - {0})^2]} = \sqrt{({2} )^2 +({5} )^2}\)

    PA = \(\sqrt{\229}\)

similarly,

AC = \(\sqrt{[({-2} - {2} )^2 +({7} - {5})^2]} = \sqrt{({4} )^2 +({2} )^2}\)

AC = \(\sqrt{20} = \sqrt[2]{5}\)

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Answer:

Rectangle Y has a length of 6 and width of 4

Step-by-step explanation:

Just did it

Answer:

Not too sure, but I think it's D.

Step-by-step explanation:

The expression when evaluated is 10f + 3

From the question, we have the following parameters that can be used in our computation:

10f + 6 + 5-8​

Collect the like terms

So, we have the following representation

10f + 6 + 5-8​ = 10f + 6 + 5-8​

Evaluate the like terms in the expression

So, we have the following representation

10f + 6 + 5-8​ = 10f + 3

Hence, teh expression is  10f + 3

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Answer:

\(60n - 97\)

Step-by-step explanation:

\(3 - 5( - 3n + 5)3 - 5( - 3n + 5)\)

\(3 + (15n - 25)3 + 15n - 25\)

\(3 + 45n - 75 + 15n - 25\)

\(60n - 97\)

Answer:

yes

Step-by-step explanation:

this is because you both have to get 2 of them on a head or tails

The given game is fair, as both, you and your friend have equal probabilities of winning.

The probability of an event is the fractional value showing how likely an event is to occur. It is determined by the formula,

The probability of an event

= the number of outcomes favorable to the event/total number of outcomes.

All possible outcome when two coins are tossed is {HH, HT, TH, TT}

∴ The total number of outcomes = 4.

For you to win, we need both heads, that is {HH}.

∴ Number of outcomes in your favor = 1

Probability(you win) = 1/4

For a friend to win, we need both tails, that is {TT}.

∴ Number of outcomes in your friend's favor = 1

Probability(friend win) = 1/4

∵ Probability(you win) = Probability(friend win), we can say that the game is fair.

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Answer:

Step-by-step explanation:

X=16x

z=116

16x+112=128

360-128=232

232 divide by 2=116

Answer:

x = 9

z = 68

Step-by-step explanation:

For x, the top and bottom angles have the same value. To get x, you need to set up this equation: 12x + 4 = 112. Subtract 4 from itself and from 112. Your equation will then be 12x = 108. Divide 108 by 12, and then your answer is 9. So the value of x is 9.

For z, it's supplementary with the top angle. This means that the two angles combined add up to 180. So your question is: 112 + z = 180. Subtract 112 from 180, and then your answer is 68. So the value of z is 68.

Therefore , f(x) = 4000  (0.925)ˣ is the function

Firewood loses 7.5% of its weight each week. In other words, 92.5% of the original weight of the firewood is still present after one week.

The function I gave is an illustration of a function that denotes the quantity of firewood that is still available x weeks after the start of the winter season.

A mathematical item called a function accepts an input and creates an output. The number of weeks since the start of the winter season is the input in this scenario, and the output is the weight of firewood still available.

The function can be used to express the weight of firewood left over x weeks after the start of winter:

f(x) = 4000(1 - 0.075)ˣ

Firewood loses 7.5% of its weight each week. In other words, 92.5% of the original weight of the firewood is still present after one week

where x represents how many weeks have passed since the start of the winter season.

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