How to do this
Help project do tomorrow

Answer:

The sides of the triangle are 15 inches and the sides of the square are 15 - 6 = 9 inches

Step-by-step explanation:

It is given that the perimeter of an equilateral triangle is 9 inches more then the perimeter of a square, and side of the triangle is 6 inches longer then the side of the square.

Now,

An equilateral triangle has all 3 sides the same length

Let one side of the triangle be x so the perimeter will be 3x.

Further, if one side of the square is 6 longer than a side of the triangle

then the square has side length x - 6 and perimeter is;

=> 4(x - 6)

=> 4x - 24

Since, the perimeter of the triangle is 9 more than the perimeter of the square we get the equation as;

=> 3x = 4x - 24 + 9

=> x =  15

Therefore,

The sides of the triangle are 15 inches

The sides of the square are 15 - 6 = 9 inches

To know more about this topic, click here:

https://brainly.com/question/17556213

#SPJ9

Answer:

D. 5√3

Step-by-step explanation:

tan 30° = x/15

or, 1/√3=x/15

or, x= 15/√3 = 5√3

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exacy value

tan30° = \(\frac{1}{\sqrt{3} }\) = \(\frac{\sqrt{3} }{3}\) , then

tan30° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{15}\) = \(\frac{\sqrt{3} }{3}\) ( cross- multiply )

3x = 15\(\sqrt{3}\) ( divide both sides by 3 )

x = 5\(\sqrt{3}\) → D

\(~~~~~~150\times x\% = 35\\\\\implies 150 \times \dfrac{x}{100} = 35\\\\\implies \dfrac{3x}{2}=35\\\\\implies 3x = 35\cdot 2\\\\\implies 3x = 70\\\\\implies x = \dfrac{70}{3}\\\\\implies x =23.\overline{3}\\\\\text{So, 35 is}~ 23.\overline{3}\%~ \text{of} ~150.\)

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

The number of ways a six-sided die can be constructed with different markings on each side is 720.

If we have a six-sided die, each side can be marked differently with dots. This means that we can have six different options for the first side, five different options for the second side (since one of the dots has already been used), four different options for the third side (since two of the dots have already been used), three different options for the fourth side, two different options for the fifth side, and only one option left for the sixth side.
Therefore, to find the number of ways a six-sided die can be constructed if each side is marked differently with dots, we need to multiply all of these different options together. That is, we need to find the product of 6 x 5 x 4 x 3 x 2 x 1, which is equal to 720.
Therefore, there are 720 different ways that a six-sided die can be constructed if each side is marked differently with dots. This is because there are 720 different permutations of six objects, where each object can only appear once, and the order matters.

To learn more about die, refer:-

https://brainly.com/question/15804785

#SPJ11

The sample size of 470 people is required to estimate the proportion of PTC tasters within 0.04 with 90% confidence.

To estimate the proportion of Americans who have at least one Italian grandparent and can taste PTC with a 90% confidence interval of 0.04, we need to calculate the sample size required using the formula for a proportion. Using the estimate of 75% for the proportion of Italians who can taste PTC as the guess for p, we can calculate that a sample size of 470 people is required.

This means that we need to test 470 Americans who have at least one Italian grandparent to estimate the proportion of PTC tasters within 0.04 with 90% confidence. The formula for the sample size takes into account the desired level of confidence and the margin of error, which is the difference between the estimate and the true value that we are willing to accept.

Learn more about Confidence Interval:

https://brainly.com/question/15712887

#SPJ4

The spinner has 20 equal-sized sections, out of which 8 sections are purple, find the probability .

To find the probability of landing on purple, we need to determine the ratio of favorable outcomes (purple sections) to the total number of possible outcomes (all sections). The probability of landing on purple is given by: Probability of purple = Number of purple sections / Total number of sections. Probability of purple = 8 / 20. To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4: Probability of purple = 2 / 5

Therefore, the probability of the spinner landing on purple is 2/5.

To learn more about probability here: brainly.com/question/31828911

#SPJ11

The real root of √0.25 is 0.5. A real root of a number is a number that, when multiplied by itself, equals the original number. In this case, we need to find a number that, when multiplied by itself, equals 0.25.

We can rewrite 0.25 as 25/100, or 1/4. So, the real root of √0.25 is the number that, when multiplied by itself, equals 1/4. This number is 0.5, because 0.5 * 0.5 = 1/4.

To verify our answer, we can plug 0.5 into the original expression and see if it evaluates to 0.25. We have:

√0.25 = √(25/100) = √(1/4) = 0.5

As we can see, 0.5 does indeed evaluate to 0.25. Therefore, the real root of √0.25 is 0.5.

To learn more about expression click here : brainly.com/question/28170201

#SPJ11

a. The linear functions for each day are given as follows:

b. Stevic's total earnings after delivering 15 papers on each day are given as follows: $145.5.

As the cost per each newspaper is the same, the functions in this problem are linear functions.

The slope-intercept representation of a linear function is given as follows:

y = mx + b.

In which the coefficients are given as follows:

Then the functions are given as follows:

The total earnings are obtained with the numeric value when x = 15, hence:

Total earnings = 36 + 4(15) + 12 + 2.5(15) = $145.5.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

3628800 ways if the women are always required to stand together.

To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.

First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).

Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.

Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.

Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.

There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.

To know more about arrangement visit

https://brainly.com/question/1427391

#SPJ11

Answer: y = \(\frac{1}{2} x\) - 3

Step-by-step explanation:

We have defined the criteria for SAS congruency of triangles.

What is SAS?

The SAS theorem states that "Triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle."

According to the SAS criteria for triangle similarity, two sides of one triangle are similar to two sides of another triangle if their included angles are congruent.

Hence, we have defined the criteria for SAS congruency of triangles.

To learn more about the SAS congruency of triangles, visit:

brainly.com/question/13408604

#SPJ4

Answer: \(12x^{2} -18x-12\)

Step-by-step explanation:

(6x-12)(2x+1)

Foil method

6x*2x

6x*1

-12*2x

-12*1

add them up

\(12x^{2} -18x-12\)

Juliet will have  13 cups mixture of the orange juice and water .

Given :-

Juliet already has 9 cups of orange juice , and she adds 32 fluid ounces of water into the  cup of orange uice syrup.

So, we have to find that how much cups of syrup does Juliet had ,

So, we know that

1 cup = 8 ounces

but she adds 32 ounces of water which means

= No. of ounces added / no. of ounces in a glass

= 32 / 8

= 4

therefore ,

9 + 4 = 13 glasses.

which means she has 13 glasses of the syrup made up of water and orange juice .

To learn more about addition.

https://brainly.com/question/426667

#SPJ4

Log4 27 is approximately 2.377 when expressed as a logarithm in base 2.

To evaluate log4 27 using the change of base formula, we need to write it in terms of a common base, such as base 10 or base 2. Let's use base 10:
log4 27 = log10 27 / log10 4

Now we need to find the logarithms of 27 and 4 in base 10:
log10 27 = 1.431
log10 4 = 0.602

Substituting these values into the formula, we get:
log4 27 = 1.431 / 0.602 = 2.38

So log4 27 is approximately 2.38.

To convert log4 27 to a logarithm in base 2, we use the change of base formula again, this time with base 2:
log4 27 = log2 27 / log2 4

Now we need to find the logarithms of 27 and 4 in base 2:

log2 27 = 4.754
log2 4 = 2

Substituting these values into the formula, we get:
log4 27 = 4.754 / 2 = 2.377

Rounding to the nearest thousandth, we get:

log4 27 ≈ 2.377

Therefore, log4 27 is approximately 2.377 when expressed as a logarithm in base 2.

Know more about logarithm here:

https://brainly.com/question/25710806

#SPJ11

Answer:

1/6 flipped is 6/1, which equals 6

Step-by-step explanation:

you flipped the numbers.

Answer:

  (1, 5)

Step-by-step explanation:

The desired point is the weighted average of the end point coordinates. The weights are the reverse of the relative line segment lengths.

  P = (3A +1B)(3+1) = (3(-1, 2) +(7, 14))/4 = (-3+7, 6+14)/4 = (1, 5)

The point of interest is (1, 5).

Answer: 16

Step-by-step explanation: Basic multiplication

4+4=8

4+4=8

8+8=16    [16!]

To determine the difference between the largest and the smallest number you can make in 2022, we must first comprehend the notion of place value.2022 has 4 digits, with each digit representing a different place value (thousands, hundreds, tens, and ones).

The largest number you can create is by arranging the digits in descending order, with the greatest digit first and the smallest digit last.

As a result, 2220 is the largest number that may be formed.The smallest number you can make is by arranging the digits in ascending order, with the smallest digit first and the largest digit last. As a result, 0222 is the smallest number that can be formed.

To calculate the difference between the two numbers, we must subtract the smaller number from the larger number.2220 - 0222 = 1998

As a result, the difference between the largest and smallest number that can be formed using the digits in 2022 is 1998.

This signifies that no matter how you arrange the digits, the number will always be between these two values.

To know more about difference visit:

https://brainly.com/question/28231146

#SPJ11

this is difficult lol im scared to attempt this so i wont

Step-by-step explanation:

let 'x' represent the total number of students in the class

5 = 20% of x

0.20x = 5 divide both sides by 0.20

x = 25 students

there are 25 students in the class.

I'm not sure about the answer but still I think its right.....

Answer:

Angles 2 and 1

Step-by-step explanation:

Complementary angles are angles that sum to 90° or form a right angle. In this case, the right angles are 3 and 4, but the two angles that FORM a right angle are angles 2 and 1.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

Explanation:

The only angle that forms a complementary angle pair is ∠2 and ∠1 because both angles form a right angle.

Hence, ∠1 and ∠2 are complementary angles.

Another accepted answer is -5-i, but if your teacher wants only one answer, then I'd go for 5+i

======================================================

Work Shown:

\(\sqrt{24+10i} = a+bi\\\\\left(\sqrt{24+10i}\right)^2 = (a+bi)^2\\\\24+10i = a^2+2abi+b^2i^2\\\\24+10i = a^2+2abi+b^2(-1)\\\\24+10i = a^2+2abi-b^2\\\\24+10i = (a^2-b^2)+(2ab)i\\\\\)

Equating terms, we have this system

\(\begin{cases}24 = a^2-b^2\ \text{.... real terms}\\10 = 2ab\ \text{.... imaginary terms}\end{cases}\)

Solve the second equation for b to get b = 5/a

Plug that into the first equation to solve for 'a'

\(24 = a^2-b^2\\\\24 = a^2-\left(\frac{5}{a}\right)^2\\\\24 = a^2-\frac{25}{a^2}\\\\24a^2 = a^4-25\\\\0 = a^4-24a^2-25\\\\a^4-24a^2-25 = 0\\\\(a^2-25)(a^2+1) = 0\\\\(a-5)(a+5)(a^2+1) = 0\\\\\)

Setting each factor equal to zero would lead to...

We're told that 'a' is a real number, so we ignore the solutions "a = i and a = -i". The only possible solutions are a = 5 and a = -5

If a = 5, then,

b = 5/a = 5/5 = 1

So

\(\sqrt{24+10i} = a+bi = 5+1i = 5+i\)

or in short,

\(\sqrt{24+10i} = 5+i\)

-----------------

If a = -5, then b = 5/a = 5/(-5) = -1

So it's very possible that we could also say

\(\sqrt{24+10i} = -5-i\\\\\)

If you wanted to combine the two we would use the plus/minus notation like so

\(\sqrt{24+10i} = \pm(5+i)\\\\\)

This is due to (5+i)^2 and (-5-i)^2 both having the same result of 24+10i. Hence the plus/minus. If your teacher wants one answer only, then I'd go for 5+i, as we could consider it a "principal" square root in a sense.

Using it's concept, it is found that there is a \(\frac{17}{23}\) probability that a seventh grader chosen at random will play an instrument other than drums.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

Hence:

\(p = \frac{17}{23}\)

There is a \(\frac{17}{23}\) probability that a seventh grader chosen at random will play an instrument other than drums.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

16

Step-by-step explanation:

the sides now are 8x8

1/2 of that is 4x4 and 4x4=16

The plane reaches its destination at 12h10 minutes if the plane leaves town A for town B.at 0540hours

For legal, commercial, and social purposes, a time zone is a region that observes a uniform standard time. Instead of strictly following longitude, time zones tend to follow the borders between countries and their subdivisions.

We have:

A plane leaves town A for town B.at 0540hours.If the journey takes 6.5hours

05h40min

Total time takes = 6 hours and 30 minutes

= 5 hours + 40 minutes + 6 hours + 30 minutes

= 11 hours + 70 minutes

= 12 hours 10 minutes

or

= 12h10 minutes

Thus, the plane reaches its destination at 12h10 minutes if the plane leaves town A for town B.at 0540hours

Learn more about the time zone here:

brainly.com/question/10711315

#SPJ1

The value of x is 8.

A linear equation system is a collection of two or more linear equations involving the same set of variables. The goal of solving a linear equation system is to find a set of values for the variables that satisfy all of the equations simultaneously. In general, a linear equation can be written as:

a₁x₁ + a₂x₂ + ... + aₙxₙ = b

Given linear system:

2x - y + 5z = 16 ...(1)

y + 2z = 2 ...(2)

z = 2 ...(3)

From equation (3), we get z = 2. Substituting this value of z in equation (2), we get y + 4 = 2, which gives us y = -2.

Substituting the values of y and z in equation (1), we get:

2x - (-2) + 5(2) = 16

2x + 12 = 16

2x = 4

x = 2

Therefore, the value of x is 2.

For more questions like Equation click the link below:

https://brainly.com/question/29657983

#SPJ11