Find the measure of the smallest angle of the triangle.

Answer:

The x-intercept is 40, which represents the number of monthly payments needed to repay the loan

Step-by-step explanation:

We see that the x-intercept is at x=40, and the x-axis is number of monthly payments.

Answer:

y = -9

Step-by-step explanation:

Step 1: Write equation

y + 7 = -2

Step 2: Solve for y

Step 3: Check

Plug in y to verify it's a solution.

Answer:

(0,7)

Step-by-step explanation:

The degree of the term with the greatest degree is called the degree of the polynomial.

Here, it is necessary to remember that, by the definition, we can find the "Degree of a polynomial" by identifying the greatest degree of its terms.

The "Leading term" of a polynomial is defined mostly as the term with the highest power of the variable of the polynomial.

The numbers located in front to the variable (those numbers that multiply the variable) are called "Coefficients". The coefficient of the Leading term is known as the "Leading coefficient."

For example, given the following polynomial:

18x² + 2x - 6

You can identify that, in this case:

degree of the polynomial: 2

leading term: 18x²

leading coefficient: 18

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Answer:

\(y = \frac{1}{3}x + 5\)

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other:  \(m = - \frac{1}{m_{2} }\), or equivalently, \(m_{1} * m_{2} = -1\).

Given our linear equation  3x + y = 3  (or y = -3x + 3):

We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is \(\frac{1}{3}\).

To test whether this is correct, we can take first slope,  \(m_{1} = -3\),  and multiply it with the negative reciprocal slope \(m_{2} = \frac{1}{3}\) :

\(m_{1} * m_{2} = -1\)

\(-3 * \frac{1}{3} = -1\)

Therefore, we came up with the correct slope for the other line, which is  \(\frac{1}{3}\).

Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

\(y = \frac{1}{3}x + 5\)

Answer:

Step-by-step explanation:

Let length of the garden be ' x + 10 '

Let breath of the garden be ' x '

Area of the garden = 264 ft²

Now, let's find the breath of the garden 'x'

\(x(x + 10) = 264\)

Distribute X through the parentheses

\( {x}^{2} + 10x = 264\)

Move constant to left and change its sign

\( {x}^{2} + 10x - 264 = 0\)

Write 10x as a difference

\( {x}^{2} + 22x - 12x - 264 = 0\)

Factor out X from the expression

\(x(x + 22) - 12x - 264 = 0\)

Factor out -12 from the expression

\(x(x + 22) - 12(x + 22) = 0\)

Factor out X +22 from the expression

\((x + 22)(x - 12) = 0\)

When the products of factors equals to 0 , at least one factor is 0

\(x + 22 = 0\)

\(x - 12 = 0\)

Solve for X

\(x + 22 = 0\)

\(x = 0 - 22\)

\(x = - 22\)

Again,

\(x - 12 = 0\)

\(x = 0 + 12\)

\(x = 12\)

(The dimensions can't be negative. )

So, width = 12 ft

Now, let's find the length of the garden ' X + 10 '

\(x + 10\)

Plug the value of X

\(12 + 10\)

Calculate the sum

\( = 22 \: ft\)

Therefore,

Hope this helps..

Best regards!

Answer:

3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(17-(-4))/(6-(-1))

m=(17+4)/(6+1)

m=21/7

m=3

Please mark me as Brainliest if you're satisfied with the answer.

The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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Answer:

102.4

Step-by-step explanation:

hope that helps beautiful ;-)

Answer:

Step-by-step explanation:

(-5x-4)-(-3x-2)

-5x-4+3x+2

-2x-2

-2(x+1)

The expressions that have a value of 15 when x = 15 include the following:

A. x/3 + 10

C. (3,015 ÷ x) - 186

Based on the information provided, we would determine the output value of each of the given expression by substituting 15 for the value of x as follows;

Expression = x/3 + 10

Expression = 15/3 + 10

Expression = 5 + 10

Expression = 15 (True).

Expression = 15,521 ÷ x

Expression = 15,521 ÷ 15

Expression = 1034.73 (False).

Expression = (3,015 ÷ x) - 186

Expression = (3,015 ÷ 15) - 186

Expression = 201 - 186

Expression = 15 (True).

Expression = 20x² ÷ 30

Expression = 20(15)² ÷ 30

Expression = 4500 ÷ 30

Expression = 150 (False).

Expression = 20x²/5 - 25

Expression = 20(15)²/5 - 25

Expression = 900 - 25

Expression = 875 (False).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Step-by-step explanation:Idon't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to thank me...

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (6.5ft)² × 11ft

V = 3.14 × 42.25ft² × 11ft

V = 1459ft³

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

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To calculate the weighted average grade, we need to multiply each grade by its corresponding weight, add up these products, and then divide by the total weight. Let's do this for the student's grades:

Weighted grade for unit tests = 86% x 0.25 = 21.5%

Weighted grade for final test = 85% x 0.4 = 34%

Weighted grade for class project = 90% x 0.15 = 13.5%

Weighted grade for homework submissions = 92% x 0.2 = 18.4%

Total weight = 0.25 + 0.4 + 0.15 + 0.2 = 1

Weighted average grade = (21.5% + 34% + 13.5% + 18.4%) / 1 = 87.4%

Therefore, the student's weighted average grade is 87.4%.

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Answer:

Step-by-step explanation:

Divide total price by quantity:

15.60 / 6 = 2.60

Unit price = $2.60

Answer:

1. complex fraction Ex: 1/4/3- one fourth over 3 if that makes more sense

2. terminating decimal Ex: 0.5

3. additive inverse Ex: -14+14= 0

Igor gets 16 counters when he has twice as many as Ollie, leaving Ollie with number of 8 counters.

To determine how many counters Igor gets when he has twice as many as Ollie, we need to first determine how many counters they have in total. If they have 24 counters in total, we can divide that number by two to get 12. This means that Ollie has 12 counters and Igor has 12 counters.

Next, we need to determine how many counters Igor has when he has twice as many as Ollie. To do this, we need to multiply 12 (the number of counters Ollie has) by 2. This gives us 24. So Igor has 24 counters when he has twice as many as Ollie, which leaves Ollie with 8 counters.

Therefore, Igor has 16 counters when he has twice as many as Ollie, leaving Ollie with 8 counters.

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Answer:

13.4%

Step-by-step explanation:

(52-45)/52

7/52

13.4%

Answer: 13%

Step-by-step explanation: 52 - 45 = 7 | 7/52 = .13 | 13%

Answer:

1. Reflection across the y-axis

2. ΔXYZ = ΔABC

3.

∠A =∠X

∠B =∠Y

∠C =∠Z

AB = XY

BC = YZ

AC = XZ

1. Reflection across the y-axis

2. ∆XYZ ~= AABC

3.

angleA=angleX

angleB=angleY

angleC=angleZ

ZAB = XY

ZAB = XYBC = YZ

ZAB = XYBC = YZAC = XZ

Answer:

If the second person's pay is 891, then the 5th should be 1002.

Answer:

The amount paid for the loan= 1500+270=1770

Step-by-step explanation:

P=1500$,   r=9%=0.09,  t= 2 years,  l- loan

l=prt

l=1500*0.09*2

l=270

Answer:

D =  \(\frac{C}{\pi }\)

Step-by-step explanation:

C = 2πr

r = D/2  (substitute this in for r in the equation above)

C = 2π(D/2)   (now solve for D)

D = (2C) / (2π) = C/π

One can convert the circumference of a circle to it's diameter by using  the formula d = c/π.

A circle is a simple round shape with no corners or segments. A geometrically closed curved shape. The points of the circle are at a constant distance from the center. 

Segments of circle:

Conversion of circumference to diameter:

Circumference of circle = 2πr

                                   C  = πd                                                   (as, 2r=d)

                              ⇒ C/π=d

where, r = radius if the circle

           C =  circumference of the circle

           d = diameter of the circle

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Answer:

Nonlinear

Step-by-step explanation:

Answer:

There isn't a graph so this can't be answered

Step-by-step explanation:

The complete question is;

Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is (3 y + 6) centimeters, the length of E B is (5 y minus 10) centimeters, and the length of E C is (2 y + 4) centimeters. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm

Answer:

60 cm. Option D is the correct answer

Step-by-step explanation:

From the image, the diagonals of the parallelogram bisect each other. Thus;

AE = EC and BE = ED

We are given that;

DE = 3y + 6 cm and BE = 5y - 10 cm, thus;

3y + 6 = 5y - 10

Rearranging, we have;

5y - 3y = 6 + 10

2y = 16

y = 16/2

y = 8 cm

The brace that bisects point B and D is BD. So, BD = BE + DE

So, BD = 5y - 10 + 3y + 6

BD = 8y - 4

Putting 8 for y to obtain;

BD = 8(8) - 4

BD = 64 - 4

BD = 60cm

Answer:

60 cm

Step-by-step explanation:

Answer:

\(\textsf{1.} \quad 5x+3-\dfrac{3}{x-4}\)

\(\textsf{2.} \quad 2x^2-4x+3\)

\(\textsf{3.} \quad x^3+3x^2-2x+4+\dfrac{25}{2x-5}\)

Step-by-step explanation:

Long Division Method of dividing polynomials

Divide the first term of the dividend by the first term of the divisor and put that in the answer.

Multiply the divisor by that answer, put that below the dividend and subtract to create a new polynomial.

Repeat until no more division is possible.

Write the solution as the quotient plus the remainder divided by the divisor.

\(\large \begin{array}{r}5x+3\phantom{)}\\x-4{\overline{\smash{\big)}\,5x^2-17x-15\phantom{)}}}\\{-~\phantom{(}\underline{(5x^2-20x)\phantom{-b)..}}\\3x-15\phantom{)}\\-~\phantom{()}\underline{(3x-12)\phantom{}}\\-3\phantom{)}\\\end{array}\)

Solution

\((5x^2-17x-15) \div (x-4)=\dfrac{5x^2-17x-15}{x-4}=5x+3-\dfrac{3}{x-4}\)

\(\large \begin{array}{r}2x^2-4x+3\phantom{)}\\3x-2{\overline{\smash{\big)}\,6x^3-16x^2+17x-6\phantom{)}}}\\{-~\phantom{(}\underline{(6x^3-4x^2)\phantom{-bbbbbbbb.)}}\\-12x^2+17x-6\phantom{)}\\-~\phantom{()}\underline{(-12x^2+8x)\phantom{))))).}}\\9x-6\phantom{)}\\-~\phantom{()}\underline{(9x-6)\phantom{}}\\0\phantom{)}\end{array}\)

Solution

\((6x^3-16x^2+17x-6) \div (3x-2)=\dfrac{6x^3-16x^2+17x-6}{3x-2}=2x^2-4x+3\)

\(\large \begin{array}{r}x^3+3x^2-2x+4\phantom{)}\\2x-5{\overline{\smash{\big)}\,2x^4+x^3-19x^2+18x+5\phantom{)}}}\\{-~\phantom{(}\underline{(2x^4-5x^3)\phantom{-bbbbbbbbbbb.bb.)}}\\6x^3-19x^2+18x+5\phantom{)}\\-~\phantom{()}\underline{(6x^3-15x^2)\phantom{))))bbbb..).}}\\-4x^2+18x+5\phantom{)}\\-~\phantom{()}\underline{(-4x^2+10x)\phantom{)))..}}\\8x+5\phantom{)}\\-~\phantom{()}\underline{(8x-20)}\\25\phantom{)}\end{array}\)

Solution

\(\begin{aligned}(2x^4+x^3-19x^2+18x+5) \div (2x-5) & =\dfrac{2x^4+x^3-19x^2+18x+5}{2x-5}\\ & =x^3+3x^2-2x+4+\dfrac{25}{2x-5}\end{aligned}\)

When there are two groups and an interval level of measurement, the independent samples t-test is the proper statistical test to use.

Therefore, when there are two groups and an interval level of measurement, the independent samples t-test is the proper statistical test to use.

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Answer:

4178

Step-by-step explanation:

Answer:

4178

Step-by-step explanation:

THANK YOU SO MUCH I NEEDED POINTS Brainliest please!!!!

The solution of the equation is 36x^3-21x^2+16x-8/x^2.

The given expression can be written as:

9x^4-7x^3+8x^2-8/x+10/x^4

Using the power rule of differentiation, the derivative of the expression is given by:

d/dx[9x^4-7x^3+8x^2-8/x+10/x^4] =

d/dx[9x^4] - d/dx[7x^3] + d/dx[8x^2] - d/dx[8/x] + d/dx[10/x^4]

= 36x^3 - 21x^2 + 16x - 8/x^2 + 0.

Therefore, the derivative of the given expression with respect to x is 36x^3-21x^2+16x-8/x^2.

Power Rule: For a function of the form f(x) = x^n, the derivative is f'(x) = nx^(n-1).

Constant Multiple Rule: For a function of the form f(x) = cg(x), the derivative is f'(x) = cg'(x).

Sum Rule: For a function of the form f(x) = g(x) + h(x), the derivative is f'(x) = g'(x) + h'(x).

Difference Rule: For a function of the form f(x) = g(x) - h(x), the derivative is f'(x) = g'(x) - h'(x).

Product Rule: For a function of the form f(x) = g(x)h(x), the derivative is f'(x) = g'(x)h(x) + h'(x)g(x).

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