Two sides of a parallelogram are 170 feet and 650 feet. The measure of the angle between these sides is 113°. Find the area of the parallelogram to the nearest square foot.

Loan A has the lower monthly payment

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Explanation:

Loan A is at a rate of 6.9% over 5 years. The table says that if you borrowed $100 at this interest rate and time period, then the monthly payment would be $1.98 per month.

However, you are borrowing $17,601 which is 176.01 times greater than 100 since (17601)/(100) = 176.01

So 1.98*176.01 = 348.4998 = 348.50 is the monthly payment of loan A.

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Meanwhile, loan B has an interest rate of 8.9% and lasts for 3 years. Use the table to see that borrowing $100 at this rate and time means the monthly payment is $3.18

The multiplier this time is 162.90 because (16290)/(100) = 162.90

Therefore, 162.90*3.18 = 518.022 = 518.02 is the monthly payment of loan B.

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To summarize, we have these monthly payments

Loan A has the lower monthly payment

Answer:

Step-by-step explanation:

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Answer:

  K = (-5, 14)

Step-by-step explanation:

For writing equations of parallel and perpendicular lines, it is convenient to start with equations in general form:

  ax +by +c = 0

Rewriting the given equations, we have ...

  y = 1/2x -1

  x -2y -2 = 0 . . . . . line d

  y = -3x +2

  3x +y -2 = 0 . . . . . line d'

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A parallel line will have the same coefficients, but a constant appropriate to the required point on the line.

Parallel to d' through A(-1, 2):

  3(x -(-1)) +(y -2) = 0

  3x +y +1 = 0 . . . . . . . . simplify

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A perpendicular line will have the coefficients swapped and one of them negated. Again, the constant is appropriate to the required point.

Perpendicular to d through B(3, -2):

  2(x -3) +(y -(-2)) = 0

  2x +y -4 = 0 . . . . . . . . simplify

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The solution to this system of equations can be found by subtracting the second equation from the first:

  (3x +y +1) -(2x +y -4) = (0) -(0)

  x +5 = 0

  x = -5

Substituting into the second equation gives ...

  2(-5) +y -4 = 0

  y -14 = 0

  y = 14

The coordinates of point K are ...

  K = (-5, 14)

_____

Additional comment

The general line through the origin ...

  ax +by = 0

can be translated to go through point (h, k) by the usual method for translating functions. The variable x is replaced by (x -h), and the variable y is replaced by (y -k). Using the general form equation means we can keep the variables and constants all on the same side of the equal sign, saving a bit of work and confusion.

  a(x -h) +b(y -k) = 0 . . . . . . line through point (h, k)

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The graph is drawn by a geometry program capable of drawing parallel and perpendicular lines through given points. It confirms the equations and th solution.

Answer:

Step-by-step explanation:

6+3=9/50

9/50 x  100=18 percent

Answer:

The product of 6 and 11 is 66

The product of two or more numbers is the same as multiplying those numbers together. The product will always be the result.

[tex]6 * 11 = 66~or~66 / 11 = 6[/tex]

Notice how the division problem is just the multiplication problem backwards, for the purpose of better understanding.

Hence, the correct answer is 66

Step-by-step explanation:

5.21× 3.4 = 17.714

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Answer:

435

Step-by-step explanation:

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30*0.0= 435

Answer:

the answer is: 435

Step-by-step explanation:

Answer:

Step-by-step explanation:

If we divide 8 by 10, we get 8/10, which reduces to 4/5 or 0.8.  Carter misplaced his decimal point.

Answer:

Step-by-step explanation:

the slopes are perpendicular

find a slope perpendicular to 3/2

how to find:

change the sign of the slope and flip the fraction

-2/3 is the slope

The slope of BD is -2/3.

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

BD is a diameter of circle A. If the slope of BE is 3/2.

We have to find the slope of BD.

According to given question we have

We know that the slope of a perpendicular line from the slope of a given line is obtained by taking the negative reciprocal of the slope of the given line. If the slope of the given line is [tex]m_{1}[/tex] and the slope of a perpendicular line is [tex]m_{2}[/tex] then we have

[tex]m_{2} = -1/m_{1}[/tex]

So, the slope of BD is -2/3.

Therefore, the slope of BD is -2/3.

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Answer:

$5.10/h

Step-by-step explanation:

85/5 = 17

it increased 17 times, so did the worker

.30x17= $5.10

Answer:

i think itd -4 * x which is -4x and you do -4*3 which is -12 so its -4x+-12=8 and then you add 12 to both sides so -12+12 will cancel and then 8+12=20 so its -4x=20 and the answer would be X= -5

Step-by-step explanation:

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Answer:

80 inches cubed

Step-by-step explanation:

V=bh

b= 5 x4 h=4

5 x 4 x 4 = 80

Answer:

33%

Step-by-step explanation:

Prob(heads) = 1/2

Prob(either red or blue) = 2/3

So Prob( heads and red/blue) = 1/2 * 2/3

= 2/6

= 1/3   which is 33%.

Answer:

Factor the following

[tex]\hookrightarrow \sf 9x^4+15x^3-12x[/tex]

rewrite the following

[tex]\hookrightarrow \sf 3\cdot \:3x^3x+3\cdot \:5x^2x-3\cdot \:4x[/tex]

factor out the common term 3(x)

[tex]\hookrightarrow \sf 3x\left(3x^3+5x^2-4\right)[/tex]

check for answer through multiplication

[tex]\dashrightarrow \sf 3x\left(3x^3+5x^2-4\right)[/tex]

[tex]\dashrightarrow \sf 3x\left(3x^3)+3x(5x^2)+3x(-4)[/tex]

[tex]\sf \dashrightarrow 9x^4+15x^3-12x[/tex]

Part A

[tex]\sf{ change \ of \ base \sf \ : \ \ \ \log _{b} a=\dfrac{\log _{d} a}{\log _{d} b}}[/tex]

Part B

Some common choices for base:

Part C

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{\log _{3} 3}{\log _{3} 2}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.631}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.630929}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=1.584962501[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3 = 1.58[/tex]

1.58 is the value when rounded to nearest hundredth.

Answer:

27

Step-by-step explanation:

108 ÷ 4 = 27

proportion

if 1/x = 4/108

4x = 108

x = 108/4

x = 27

The graph is not symmetric, and it has no vertical or horizontal asymptotes.

Coordinate geometry is a branch of mathematics that combines algebraic and geometric concepts to study the properties of geometric figures using a coordinate system. It involves representing geometric figures such as points, lines, curves, and shapes in a plane or space using numerical values called coordinates.

The graph of the function [tex]f(x)=-3(x+1)^2 (x-3) (x-5)^3[/tex] is a cubic polynomial function with several important characteristics:

Degree: The degree of the function is 7, which means that the graph has 7 x-intercepts.

Symmetry: The function is not symmetric with respect to the y-axis or the origin.

End Behavior: As x approaches negative infinity, the function approaches negative infinity, and as x approaches positive infinity, the function approaches negative infinity.

Zeros: The function has x-intercepts at x = -1, x = 3, and x = 5. The intercept at x = -1 has a multiplicity of 2, while the intercepts at x = 3 and x = 5 have a multiplicity of 3. This means that the graph touches the x-axis at x = -1 and bounces off at x = 3 and x = 5.

Turning Points: The function has two turning points, one at x = -1 and one at x = 3. The turning point at x = -1 is a local maximum, while the turning point at x = 3 is a local minimum.

Behavior near Zeros: Near each of the x-intercepts, the function changes direction. At x = -1, the function changes from decreasing to increasing. At x = 3 and x = 5, the function changes from increasing to decreasing.

Vertical Asymptotes: The function has no vertical asymptotes.

Horizontal Asymptotes: The function has no horizontal asymptotes.

Intercepts: The y-intercept of the function is at y = 0.

Overall, the graph of the function [tex]f(x)=-3(x+1)^2 (x-3) (x-5)^3[/tex] is a complicated cubic polynomial with multiple x-intercepts, turning points, and changing directions near the intercepts.

Therefore, the graph is not symmetric, and it has no vertical or horizontal asymptotes.

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Answer:

the surface area of the prism = 378 cm³

Step-by-step explanation:

Let S be the surface area of the prism

     B be the base of the prism

     h be the height of the prism

    T be the lateral surface area of the prism

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Formula

S = 2B + T

_________

[tex]\begin{aligned}B &=\frac{9 \times 12}{2} \\&=54\end{aligned}[/tex]

[tex]\begin{aligned}T &=7,5 \times(9+12+15) \\&=270\end{aligned}[/tex]

[tex]\begin{aligned}S &=2 B+T \\&=2 \times(54)+270 \\&=378\end{aligned}[/tex]

Rounding to the nearest cent, Linda will have $220.50 in 2 years after  1 year, the amount Linda.

The word "amount" in mathematics refers to something's quantity or value in general. Depending on the context, it may refer to a wide range of concepts. "Amount" can, among other things, refer to the total value of a group of numbers, the total price of an acquisition, the total number of items in a collection, or the total amount of money in an account. The word "amount" is frequently used in financial situations to refer particularly to a sum of money, either as a total value or as a specific payment or transaction.

given

After 1 year, the amount Linda will have is:

200 * 1.05 = $210

After 2 years, the amount Linda will have is:

210 * 1.05 = $220.50

Rounding to the nearest cent, Linda will have $220.50 in 2 years after  1 year, the amount Linda.

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Answer:

Given:

Given expression:

[tex]\dfrac{30pqr(p+q+r)}{(p+q)(p+r)}[/tex]

Substitute given values into given expression:

[tex]\implies \dfrac{30\cdot\dfrac12\cdot-\dfrac13\cdot\dfrac15\left(\dfrac12-\dfrac13+\dfrac15\right)}{\left(\dfrac12-\dfrac13\right)\left(\dfrac12+\dfrac15\right)}[/tex]

[tex]\implies \dfrac{-\dfrac{30}{30}\left(\dfrac{15}{30}-\dfrac{10}{30}+\dfrac{6}{30}\right)}{\left(\dfrac36-\dfrac26\right)\left(\dfrac{5}{10}+\dfrac{2}{10}\right)}[/tex]

[tex]\implies \dfrac{-1\left(\dfrac{11}{30}\right)}{\left(\dfrac16\right)\left(\dfrac{7}{10}\right)}[/tex]

[tex]\implies \dfrac{-\dfrac{11}{30}}{\dfrac{7}{60}}[/tex]

[tex]\implies -\dfrac{11}{30}\times \dfrac{60}{7}[/tex]

[tex]\implies -\dfrac{660}{210}[/tex]

[tex]\implies -\dfrac{22}{7}[/tex]

Answer:

Step-by-step explanation:

[tex]\sf Cos \ x = \dfrac{adjacent \ side}{hypotenuse}\\\\\\cos \ x =\dfrac{4}{9}\\\\\\Cos \ x = 0.44\\\\x = Cos^{-1} \ (0.44)\\[/tex]

x = 63.9°

Answer:

opposite sides of ||gram are equal and parallel therefore

12=x+2

12-2=x

10=x

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Option (4) all real numbers greater than or equal to -3

Step-by-step explanation:

Domain: Domain of function is defined by the x-values (Input values) on the graph.

Range: Range of a function is defined by the y-values (output values) on the graph.

x-values are starting from (-3) to infinity.

Therefore, domain of the function will be all real numbers greater than equal to (-3). Option (4) will be the answer.

The domain of the function are all real numbers greater than or equal to -3.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given is a graph, we need to find domain of the function on the graph,

Domain is the set of all possible inputs or x-values, for which the given function is defined.

The given graph is defined form -3 to positive infinity. The point -3 included in the set of input because there is a closed circle at x=-3.

So, domain of the function are all real numbers greater than or equal to –3.

Hence, the domain of the function are all real numbers greater than or equal to -3.

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Answer:

168

Step-by-step explanation:

Answer: 90

Step-by-step explanation:

add all numbers up:

82+85+89+94+100=450

divide by amount of numbers

450/5=90