Georgia is on the prom committee. She wants to hang a dozen congruent triangles from the ceiling so that they are parallel to the floor. She sketched out one triangle on a coordinate plane with coordinates (0,4),(3,8) , and (6,0) . If each triangle is to be hung by one chain, what are the coordinates of the point where the chain should attach to the triangle?

The value are-

Now, for the given question.

Let the given angle be 'x'.

Then, the complement of the angle will be: 90 - x.

6 times the complement = 6(90 - x)

6 times the complement is 44 less; 6(90 - x) - 44.

Now, the supplement of the angle is; 180 - x.

Two time the supplement = 2(180 - x)

The equation will form as;

2(180 - x) = 6(90 - x) - 44

360 - 2x = 540 - 360 - 44

Simplifying the equation;

x = 34.

Thus, the original angle is 34°.

complement angle = 90 - x

= 90 - 34

= 56°

Thus, complement angle = 56°

supplement angle = 180 - x

= 180 - 34

= 146

supplement angle = 146°

Thus, the values of the angles are obtained.

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The area of the lawn is given as  50 . 24 m²

Area = πr² x θ/360

r = 12m

θ = 40 degrees

Area = 3.14 x 12² * 40/360

= 50.24

Hence the area is 50 . 24 m²

2 x 50.26

= 100.52

Area = πr² x θ/360

The value of  θ is not given

When we plug in the figures we would have

100.52 = πr² x θ/360

Then  θ = 100.53 x 360 / 3.14 x 12²

= 80 degrees

c. θ = 40 degrees

100. 53 =  πr² x 40/360

πr²  = 100.53 x 360 / 40

r = 16.97 m

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The drawing that creates a line of reflection that takes the point A to point B is; D: Draw a line parallel to line AB.

A line of reflection is a line that lies in a position between two identical mirror images so that any point on one image is the same distance from the line as the same point on the other flipped image.

Let us look at the given options;

A) Draw the perpendicular bisector of segment AB; A perpendicular bisector will NOT create a line of reflection that takes point A to point B but rather it will divide the line AB in two equal parts

B) Draw a line through B perpendicular to segment AB; A line through B perpendicular to segment AB will NOT Create a line of reflection that takes point A to point B

C) Draw the line passing through A and B;

A line passing through A and B will NOT create a line of reflection that takes point A to point B but rather will create Line A and B again and not its reflection

D) Draw a line parallel to line AB;

A line parallel to line AB will create a line of reflection that takes point A to point B because a parallel line never meet thereby creating the direct imagery of Line AB.

Thus, the drawing that create a line of reflection that takes the point A to point B is; D: Draw a line parallel to line AB.

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Step-by-step explanation:

Simplifying

-3(x + 5) = -1(3x + 15)

Reorder the terms:

-3(5 + x) = -1(3x + 15)

(5 * -3 + x * -3) = -1(3x + 15)

(-15 + -3x) = -1(3x + 15)

Reorder the terms:

-15 + -3x = -1(15 + 3x)

-15 + -3x = (15 * -1 + 3x * -1)

-15 + -3x = (-15 + -3x)

Add '15' to each side of the equation.

-15 + 15 + -3x = -15 + 15 + -3x

Combine like terms: -15 + 15 = 0

0 + -3x = -15 + 15 + -3x

-3x = -15 + 15 + -3x

Combine like terms: -15 + 15 = 0

-3x = 0 + -3x

-3x = -3x

Add '3x' to each side of the equation.

-3x + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0

0 = -3x + 3x

Combine like terms: -3x + 3x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

Answer:

Step-by-step explanation:

-3(x+5) = -(3x+15)

-3x - 15 = -3x - 15

the 2 sides are identical so there are

INFINITE solutions.

In roughly 127 hours the prices of the two stocks will be the same.

So, if we count the hours (x) after 9 a.m., the stock prices will be:

The value of x when A = B can be calculated using:

A = B

Therefore, in 127 hours roughly the prices of the two stocks will be the same.

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Answer:

Many challenging questions do not involve numerical or geometrical considerations but call for deductive inferences based chiefly on logical relationships. Such puzzles are not to be confounded with riddles, which frequently rely upon deliberately misleading or ambiguous statements, a play on words, or some other device intended to catch the unwary. Logical puzzles do not admit of a standard procedure or generalized pattern for their solution and are usually solved by some trial-and-error method. This is not to say that the guessing is haphazard; on the contrary, the given facts (generally minimal) suggest several hypotheses. These can be successively rejected if found inconsistent, until, by substitution and elimination, the solution is finally reached. The use of various techniques of logic may sometimes prove helpful, but in the last analysis, success depends largely upon that elusive capacity called ingenuity. For convenience, logic problems are arbitrarily grouped in the following categorie

Jarome can make 6 whole pizzas with the leftover cheese.

Given that Jarome uses 2 1/2 cups of cheese for every 2 3/4 pizzas. He has 6 1/4 cups of cheese left in the bag.

We need to determine the number of pizza pies can he make with the leftover cheese.

To find out how many pizza pies Jarome can make with the leftover cheese, we need to determine how many sets of 2 3/4 pizzas can be made using 6 1/4 cups of cheese.

Let's start by finding the number of sets of 2 3/4 pizzas that can be made from 6 1/4 cups of cheese:

Number of sets = Total cheese available / Cheese per set

Number of sets = 6 1/4 cups / 2 1/2 cups per set

To make the calculation easier, let's convert all the mixed numbers to improper fractions:

6 1/4 cups = (4 x 6 + 1) / 4 = 25/4 cups

2 1/2 cups = (2 x 2 + 1) / 2 = 5/2 cups

Number of sets = (25/4) / (5/2)

Now, to divide fractions, we invert the divisor (5/2) and multiply:

Number of sets = (25/4) x (2/5)

= (25 x 2) / (4 x 5)

= 50/20

= 5/2

So, Jarome can make 5/2 sets of 2 3/4 pizzas with 6 1/4 cups of cheese.

Now, let's see how many pizzas he can make with the leftover cheese:

To calculate the number of pizzas in 5/2 sets, we multiply it by the number of pizzas per set (2 3/4 pizzas):

Number of pizzas = (5/2) x (2 3/4)

Again, let's convert all the mixed numbers to improper fractions:

2 3/4 pizzas = (4 x 2 + 3) / 4 = 11/4 pizzas

Number of pizzas = (5/2) x (11/4)

Now, when multiplying fractions, we simply multiply the numerators together and the denominators together:

Number of pizzas = (5 x 11) / (2 x 4) = 55/8

So, Jarome can make 55/8 pizzas with the leftover 6 1/4 cups of cheese.

Now, let's simplify the fraction:

55/8 = 6 7/8

Therefore, Jarome can make 6 7/8 pizzas with the leftover 6 1/4 cups of cheese.

Since we can't make a fraction of a pizza, he can make 6 whole pizzas with some cheese left over.

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The probability that he gets at least as many heads as tails is half or 50%.

Probability is obtained by dividing the number of chances that it will take to realize a result by the number of total possible chances. To get the right probability for the question asked here, we need to determine:

The number of chances is equal to 4.

The total number of possible chances is given by the equation:

4 × 2 = 8

Two is obtained by recognizing the fact that there are two sides to the coin. So, he could either get a head or a tail when he tosses the nickel.

Therefore;

4/8 = 1/2 or 50%

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The total number of people who can go to the amusement park in the given scenario is 6. This problem is based on the basic mathematical formulae.

Formulae are mathematical statements comprising expressions, numbers, and variables to ease complex calculations.

Given that

The total amount for the expenditure = [tex]\[/tex]327.75.

Cost of parking per person = [tex]\[/tex]13.75,

Cost of tickets per person = [tex]\[/tex]39.25.

Total cost per person = Cost of parking per person + Cost of tickets per person

Total cost per person = [tex]\[/tex]13.75 + [tex]\[/tex]39.25

                                    = [tex]\[/tex]53

So,

Number of persons = [tex]\frac{The total amount for the expenditure}{Total cost per person }[/tex]

                                 = [tex]\frac{327.75}{53}[/tex] = 6.18.

So, 6 people can go to the amusement park.

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Answer:1311

Step-by-step explanation:

2 digit long multiplication.
__________________________________________
Long multiplication can seem very intimidating, especially if you're multiplying two numbers that are pretty large. If you take it step by step, though, you'll be able to do long multiplication in no time.

First, muiltiply the 3 by 5 and 7, and muiltiply the 2 by 5 and 7 as well.

[tex]\frac{\begin{matrix}\:\:&\:\:&5&7\\ \:\:&\times \:&2&3\end{matrix}}{\begin{matrix}0&1&7&1\\ 1&1&4&0\end{matrix}}[/tex]

(NOTE: Remember when you muiltiply two digit numbers, when you pass from the first digit to the other on the bottom side, you ALWAYS add a zero to the beginning of the result BEFORE multiplying the following digit)

Secondly, once you've multiplied, you add both results of the multiplication.

[tex]\frac{\begin{matrix}\:\:&\textbf{\:\:}&1&\:\:&\:\:\\ \:\:&\textbf{0}&1&7&1\\ +&\textbf{1}&1&4&0\end{matrix}}{\begin{matrix}\:\:&\textbf{1}&3&1&1\end{matrix}}[/tex]

[tex]=1311[/tex] <- This is your final answer.
___________________________________________
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The total amount John has to pay in repaying the loan and interest is $18,600

What makes up the total amount John has to pay?

The total amount that John has to pay comprises of the loan principal of $15,000 and the interest on the loan which is computed at the  simple interest rate of 6% for the loan duration of 4 years

I=PRT

I=interest for 4 years=unknown

P=loan principal=$15,000

R=interest rate=6%

T=number of years of loan=4

I=$15,000*6%*4

I=$3,600

A=P+I

A=$15,000+$3,600

A=$18,600

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Answer:

x = -2

Step-by-step explanation:

2(4 - 3x) = 20

8 - 6x = 20

-8          -8

-6x = 12

÷-6    -6

x = -2

I hope this helps!

The solution to the system of inequality is z ≤ -13/2

Inequality are expression that are not separated by an equal sign.

Given the inequality expression

26 ≤ −8z − 26

Add 26 to both sides

26  + 26 ≤ −8z − 26 + 26

52 ≤ −8z

−8z ≥ 52

z  ≤ -52/8

z ≤ -13/2

Hence the solution to the system of inequality is z ≤ -13/2

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Answer:

B) Z ≤ −6.5

Step-by-step explanation:

Since it's Z ≤ -13/2, then it must be B, since 13 divided by 2 is 6.5.

Brainliest, anyone???

Answer:

You would want have more stock and less savings

Step-by-step explanation:

Answer:4 hours

Step-by-step explanation:

You have to figure out what times 5 would equal 20.

5x=20

5(4)=20

because 5*4=20, the answer is 4

A solution of 150 h is administered at a rate of 8 ml / hr.

We express the answer in terms of mg/hr m g / h r

90 mg dopamine / 20 ml = 4.5 mg/ml

4.5 mg/ml * 8 ml/h = 36 mg/h

90 mg * 1 h / 36 mg= 150 h to administer -- using the inverse of 90 mg per 1 hour and cancelling mg in numerator and ml denominator.

Hence, 150 h is administered at a rate of 8 ml / hr.

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The number which corresponds to the point B is (option b) 4.328.

Given,

A number line 4 to 5 partitioned into tenths. ( image is attached below)

There are 4 red dots:

We have to plot the number corresponding to the point B.

Let's go through the options:

a) 4.009 : This would be between 4 and 4.1. That is, point A.

b) 4.328 : This would be between 4.3 and 4.4. That is, point B.

c) 4.43 : This would be between 4.4 and 4.5

d) 4.77 : This would be between 4.7 and 4.8. That is, point D.

So, the number which corresponds to the point B is (option b) 4.328.

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My Assuming Answer;

OPTION B;

4.328

Add-ons;

Hey again! Here's an answer to your question :) Thanks for giving that recipe. Have a nice day.

Answer:

1) 1x² - 9x - 109 = 0

2) 3x² -12x -15 = 0

3) 3x² + 13x - 27 = 0

4) 6x² + 84x + 236 = 0

5) -16x² + 8x + 383 = 0

Step-by-step explanation:

The standard form of the quadratic equation is ax² + bx + c where a, b and c are constants.

So we have to convert each of the equations into a form that resembles the above

(1) 11x² -98  = 11 + 9x

(2) (2x - 1)² = (x + 4) ²

(3) 4x² + 2x − 9 = (x − 2)(x − 9)

(4) 0 = 6(x +7 )² - 58

(5) -1/2 ( x - 1/4 )² + 12 = 0

The rounded value of 5,672,874,627 is 5,673,000,000

What is a rounded value?

When a number is rounded, its value is kept relatively constant while being made easier. The outcome is simpler to use but less precise. Since 73 is closer to 70 than to 80, it is 70 when rounded to the nearest ten. But 76 increases to 80.

5,672,874,627

2 is in the million column

5,672,874,627

The nearest million could be 5,672,000,000 or 5,673,000,000.

To round to the nearest million, look at the digit in the column to the right, the hundred thousands.

5,672,874,627

The number in the hundred thousands column is 8.

The rule is, if the number is 5 or more, round up

5,673,000,000

Therefore, the rounded value of 5,672,874,627 is 5,673,000,000

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Answer:

Kristen can ride the bike for 20 hours

Step-by-step explanation:

20 - 15 = 5

The rate is 0.25 an hour.

0.25 x 4 = 1 - Currently $4

0.25 x 4 = 1 - Currently $3

0.25 x 4 = 1 - Currently $2

0.25 x 4 = 1 - Currently $1

0.25 x 4 = 1 - No more

Add up all the 4's

She can ride the bike for 20 hours.

Answer:

8/11

Step-by-step explanation:

[tex]2\frac{2}{3} = \frac{8}{3}\\3\frac{2}{3} = \frac{11}{3} \\= \frac{8}{3} \div \frac{11}{3}\\=\frac{8\times 3}{3 \times 11} = \frac{24}{33}\\\\LCM: 3\\\\\frac{24 \div 3}{33 \div 3}\\= \frac{8}{11}[/tex]

The answer is [tex]z &=-0.14\left[\ln \left(1-24.5 t^2\right)\right]\end{aligned}$$[/tex]

What do you understand by differential equation?

An ordinary derivative or a partial derivative can both be found in a differential equation. The differential equation describes the relationship between the variable that is constantly varying with respect to the change in another quantity, and the derivative represents a rate of change.

Equations with General Differential. Consider the differential equation y′=3x2, which has a derivative and is an illustration of a differential equation. The variables x and y are related because y is an unidentified function of x. The derivative of y is also on the equation's left-hand side.

Given equation:

[tex]$$\begin{aligned}&e^{-7 z} d z=7 t d t \\&:(-1 / 7) e^{-7 z}=3.5 t^2+C\end{aligned}$$[/tex]

[tex]$C=-1 / 7$[/tex]

[tex]$$(-1 / 7) e^{-7 z}=3.5 t^2-1 / 7$$[/tex]

[tex]$$e^{-7 z}=1-24.5 t^2$$[/tex]

[tex]$$\begin{aligned}-7 z &=\ln \left(1-24.5 t^2\right) \\z &=-0.14\left[\ln \left(1-24.5 t^2\right)\right]\end{aligned}$$[/tex]

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Answer:-9

Step-by-step explanation:

If Ximena pays a flat cost of $44.50 per month and $4 per gigabyte and she wants to keep her bill at $50.10 per month, then she can use 1.4 gigabyte of data while staying within her budget.

Given,

The flat cost of cell phone plan = $44.50 per month

Cost per gigabyte =$4

She wants to keep her bill amount = $50.10

Consider the number of gigabyte used as x

Then the linear inequality will become

44.50+4x≤50.10

4x≤50.10-44.50

4x≤5.6

x≤1.4

Hence, If Ximena pays a flat cost of $44.50 per month and $4 per gigabyte and she wants to keep her bill at $50.10 per month, then she can use 1.4 gigabyte of data while staying within her budget

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Answer:

6425

Step-by-step explanation:

12.85x500=6425

Answer:

A, B, C

Step-by-step explanation:

Answer: m = 13 kg

Step-by-step explanation:

      This question gives us the formula to use. We will plug-in the values we know and solve for the unknown (mass).

   Given:

F = ma

   Plug-in known values:

(65 kg m/s²) = m(5 m/s²)

   Divide both sides of the equation by 5 m/s²:

The m/s² unit cancel out, so we are left with kg.

m = 13 kg

       The mass of the object is 13 kg.

2(1/2)/0.25=x and 10 is the quotient for the real-world problem in part.

Division is splitting a group into equal parts and it is one of the four basic math operations.

The real-world problem for the division is

2(1/2)÷)0.25=x

Wth 2.5 L of water. you can drink 0.25L litres in one mouthful.How many mouthfuls do you need to drink.

the quotient for the real-world problem in part is

2.5/0.25

=10

10 is the quotient for the real-world problem in part.

Therefore 10 is the quotient for the real-world problem in part.

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Answer:

15

Step-by-step explanation:

8 x 6 / 2 -9

48 / 2 - 9

24-9

15