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Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

The statement which is true about the quadrilateral is D. Some rhombuses have four right angles.

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees.

Rectangles, squares, trapezium, parallelogram, rhombus are all quadrilaterals.

A. All squares are rectangles but all rectangles are not squares, since for squares, all sides need to be equal.

But for a rectangle, opposite sides only need to be equal.

B. A rhombus has all the sides equal and opposite sides are parallel.

So there are 2 pairs of parallel sides.

C. A trapezoid can have only one pair of sides parallel.

D. Some rhombuses have four right angles.

This is true since square is a rhombus and it has 4 right angles.

Hence the true option is D.

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Answer:

The answer is 2 hope this helped!

Step-by-step explanation:

If you put $1,000 per year into an account yielding 6% interest that is compounded annually, you will have $4291.8 in the account after 25 years.

Divide its principal by the risk premium, the time period and other factors to arrive at simple interest. Simple return = principal + interest + hours is the marketing formula. This process makes it easier to calculate interest. The most typical technique to figure out interests is as a portion of the principal sum. He will only pay his half of the 100% interest, for example, if he borrows $100 from a partner and agrees to repay the loan with 5% interest. $100 (0.05) = $5. When you keep borrowing, you must pay interest, and when you give it out, you must pay the interest. Interest is often set as an annual percentage of the loan total.

given:

FV = 1000(1.06)²⁵

FV =  1000 × 4.2918

FV = 4291.8

If you put $1,000 per year into an account yielding 6% interest that is compounded annually, you will have $4291.8 in the account after 25 years.

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Answer:

10.95 (if you need to round 11)

Step-by-step explanation:

:p

Answer:

i. $375

ii, $2875

Step-by-step explanation:

Given

Princinpal=  $2,500

rate= 7.5%

time= 2 years

Required,

The simple interest, and the final amount

Step two:

SI= PRT/100

SI= 2500*7.5*2/100

SI=37500/100

SI=$375

The simple interest is $375

And the final amount = $2,500 +$375= $2875

The 99% confidence interval for the population mean cost is 38.37 to 269.97.

What is confidence interval?

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

Given that the standard hotel rooms in the Philadelphia area has a mean nightly cost of $154.17.

The standard deviation of the price of all hotel rooms in Philadelphia is $38.60.

According to the empirical rule,

P(μ - 3σ ≤ X ≤ μ - 3σ) = 99%.

Here μ = 154.17 and σ = 38.60.

Calculating the confidence interval:

154.17 -  (3 × 38.60) ≤ X ≤ 154.17 + (3 × 38.60)

38.37 ≤ X ≤ 269.97

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35% of the fuel Capacity did not use on this flight.

Step 1: Calculate the change i.e., subtract old value from the new value

Step 2: Divide that change by the old value.

Step 3: Convert that to a percentage (by multiplying by 100 and adding a "%" sign)

 Percentage change = ((final value - initial value) ÷final value) ×100

Given: Total capacity in a fuel tank of a jet = 200000 liters

Used fuel =130000 liters

% Of fuel which is not used = ((total capacity of fuel tank - used fuel) ÷total capacity of fuel tank) ×100

\(=\frac{200000-130000}{200000}*100\\=\frac{70000}{2000}\)

=35%

Therefore, 35% of the fuel capacity did not used in this flight.

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The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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Hey there!

\(2a/5a\)

Simplfy and remove a to solve.

\(\frac{2a}{5a} =\frac{2}{5}(ANSWER)\)

Hope this helps!

\(\text {-TestedHyperr}\)

The reduction of 2a/5a will be 0.4.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given the expression,

2a/5a

Now by the law of multiplication

(2a/5a) = (2/5)(a/a)

(2a/5a) = 0.4

Hence "The reduction of 2a/5a will be 0.4".

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Answer:

Hi and the answer to your question is -4

Step-by-step explanation:

1/2=1/2=1/2.is the value for the given equivalent fraction, by putting the value 3.4 in the numerators respectively

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

For instance, since 2/4 and 3/6 both equal the 1/2, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.

1/2 =    /6 =   /8.

a. Multiply numerator and denominator by 3 for equivalenting the equation    /6

Therefore,

3*3/6*3

=9/18

=1/2

therefore:1/2=1/2.

b. Multiply numerator by 4

Therefore,

4/8

=1/2.

Therefore:

1/2=1/2.

1/2=1/2=1/2.

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Answer:

figure it out yourself

Step-by-step explanation:

remember, all three of the triangle's interior angles should add up to 180 degrees.

Answer:

can someone pls explain to me a good dream you had in like a paragraph nothing weird because my grandmother is making me write about that and she wants me to read it to her at the end of the day

Step-by-step explanation:

According to the information we can infer that the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.

To create the scale drawing, we need to convert the real-life dimensions of the football field into centimeters and then apply the scale of 1:2000.

Real-life dimensions:

Converting to centimeters:

Applying the scale of 1:2000:

According to the above, the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.

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Hi there!

\(\large\boxed{\frac{1}{18}}\)

1/3x = 6

Begin by multiplying both sides by 3 to cancel the fraction:

1/x = 18

Take the reciprocal of both sides:

x = 1/18

Answer:

1/18

Step-by-step explanation:

I N E E D P O I N T S :O)

Answer:

Step-by-step explanation:

Hello,

We will prove it by induction.

Step 1 - for n=2

2!=2*1=2

2^2=4

and 2 < 4 so this is true for n=2

Step2 - We assume that this is true for k and we have to prove it for k+1.

Induction hypothesis is \(k!<k^k\)

\((k+1)!=(k+1)k!\)

We use the induction hypothesis and we we can write that

\((k+1)!=(k+1)k!<(k+1)k^k<=(k+1)(k+1)^k=(k+1)^{k+1}\\\\\text{As }k <= k+1\)

so, we prove it for k+1

Step 3- conclusion

for n >= 2 we just proved that \(n!<n^n\)

Answer:

175%

Step-by-step explanation:

70 = p * 40

p = 1.75 or 175%

Answer:

Step-by-step explanation:

175%

Answer: C

Step-by-step explanation:

120 plus 80 equals 200.

Answer:

46 logs on the 5th row.

Step-by-step explanation:

Number of logs on the nth row is

n =  50 - (n-1)

 n = 51 - n    (so on the first row we have  51 - 1 = 50 logs).

So on the 5th row we have 51 - 5 = 46 logs.

The given relation is an arithmetic progression, which can be solved using the recursive formula: aₙ = aₙ₋₁ + d.

The 5th row has 46 logs.

An arithmetic progression is a special series in which every number is the sum of a fixed number, called the constant difference, and the first term.

The first term of the arithmetic progression is taken as a₁.

The constant difference is taken as d.

The n-th term of an arithmetic progression is found using the explicit formula:

aₙ = a₁ + (n - 1)d.

The recursive formula of an arithmetic progression is:

aₙ = aₙ₋₁ + d.

In the question, we are informed that logs are stacked in a pile. The bottom row has 50 logs and the next bottom row has 49 logs. Each row has one less log than the row below it.

The number of rows represents an arithmetic progression, with the first term being the row in the bottom row having 50 logs, that is, a₁ = 50, and the constant difference, d = -1.

We are instructed to use the recursive formula. We know the recursive formula of an arithmetic progression is, aₙ = aₙ₋₁ + d.

a₁ = 50.

a₂ = a₁ + d = 50 + (-1) = 49.

a₃ = a₂ + d = 49 + (-1) = 48.

a₄ = a₃ + d = 48 + (-1) = 47.

a₅ = a₄ + d = 47 + (-1) = 46.

Hence, the 5th row will have 46 logs.

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\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PN=\sqrt{(~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2} \implies PN=\sqrt{(5 -1)^2 + (-8 +1)^2} \\\\\\ PN=\sqrt{( 4 )^2 + ( -7 )^2} \implies PN=\sqrt{ 16 + 49 } \implies PN=\sqrt{ 65 }\implies PN\approx 8.06\)

the answer is 3 3/20

3.15 = 63/20 = 3/20

Answer:

C. 3 3/20

Step-by-step explanation:

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Answer:

14.2% students

Step-by-step explanation:

279 / 1960 = 0.142

0.142 x 100% = 14.2 %

Answer:

x=-3

Step-by-step explanation:

Answer:

  a.

Step-by-step explanation:

Dilation does not change the direction (slope) of any lines. The slope of the image line is the same as the original when the line is subject to dilation. The y-intercept point (0, -2) will be multiplied by the dilation factor, so will become 4(0, -2) = (0, -8). The dilated line will have equation ...

  y = -1/4x -8 . . . . . matches choice A

IfIf the second column, the number of 65-cent stamps, has the entries 17, 15, 13, 10. The statement about the stamps that is correct is: The value of the stamp is 35.

To determine the value of the stamp we are going to add the last column of the number of 45-cent stamps which is 25 and the number of 65-cent stamps which is 10.

Hence:

Value of the stamp=25+10

Value of the stamp=35

Therefore If the second column, the number of 65-cent stamps, has the entries 17, 15, 13, 10. The statement about the stamps that is correct is: The value of the stamp is 35.

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Answer:

Your answer is " the same as "

Step-by-step explanation:

Answer:

same as

Step-by-step explanation:

10^5 is 100000, and 100 times 4.25 is 425, so it must be 425000! You're welcome!

Answer:

\(y=\frac{6}{1} x\)

Step-by-step explanation:

slope is \(\frac{6}{1}\)

y=mx+b

replace m with slope

\(y=\frac{6}{1} x\)

Slope:-

Equation in point slope form

Answer:

4 miles

Step-by-step explanation:

the store is one mile, her friend is 3 miles from the store.

Let's find the other two smallest positive solutions.

We have the condition that when a group of students is divided into groups of 8, 10, or 12 people, the remainder is always 3 people.

To find the other two smallest positive solutions, we can start by finding the least common multiple (LCM) of 8, 10, and 12. The LCM represents the smallest multiple that is divisible by all three numbers.

The LCM of 8, 10, and 12 is 120. This means that when we divide 120 by 8, 10, or 12, the remainder is always 3.

Now, to find the other two smallest positive solutions, we can add multiples of 120 to get numbers that fulfill the condition.

The other two smallest positive solutions would be 120 + 3 = 123 and 240 + 3 = 243.

Therefore, the three smallest positive solutions that fulfill the condition are 24, 123, and 243.

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