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3 years ago

The sides of a triangle are in the ratio 12:17: 25 and its perimeter is 540cm. The area is:

Mathematics

1 answer:

Feliz [49]3 years ago

5 0

1000

Step-by-step explanation:

Find the height of the triangle using the Pythagoras theorem

Then, use it to calculate the area of the triangle

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1. What is the constant of proportionality, k, of Kevin's wage? Greg's? Savannah's?

Gala2k [10]

Answer:

Part a) The constant of proportionality of Kevin's wage is $k=\$8.25\ per\ hour$

Part b) The constant of proportionality of Greg's wage is $k=\$9.00\ per\ hour$

Part c) The constant of proportionality of Savannah's wage is $k=\$9.50\ per\ hour$

Step-by-step explanation:

See the attached figure to better understand the problem

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

To find out the constant of proportionality k , divide the variable y (total earned) by the variable x (number of hours)

Kevin's wage

Take any point from the table

I take the point (2,16.50)

$k=\frac{16.50}{2}=\$8.25\ per\ hour$

Greg's wage

Take any point from the table

I take the point (3,27.00)

$k=\frac{27.00}{3}=\$9.00\ per\ hour$

Savannah's wage

Take any point from the table

I take the point (2,19.00)

$k=\frac{19.00}{2}=\$9.50\ per\ hour$

3 0

3 years ago

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000,

Fynjy0 [20]

Answer:

C. $118,000 and $110,000, respectively.

Step-by-step explanation:

Please consider the complete question.

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated operating and maintenance cost over 10 years is $30,000 for machine A and $20,000 for machine B.

First of all, we will find the amount spent on power consumption for 10 years by each machine as:

$\text{Machine A}=10\cdot 120(\$40)\\\text{Machine A}=\$48,000$

$\text{Machine B}=10\cdot \$100(\$40)\\\text{Machine A}=\$40,000$

Now, we will find overall cost of machines A and B by adding initial cost, power consumption for 10 years and maintenance cost as:

$\text{Overall cost of machine A}=\$40,000+\$48,000+\$30,000$

$\text{Overall cost of machine A}=\$118,000$

$\text{Overall cost of machine B}=\$50,000+\$40,000+\$20,000$

$\text{Overall cost of machine B}=\$110,000$

Therefore, the overall cost of machines A and B are $118,000 and $110,000, respectively and option C is the correct choice.

6 0

3 years ago

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side BC at point M

Goshia [24]

The answer is 16 mm on edg

7 0

3 years ago

Read 2 more answers

WILL GIVE A BRAINLIEST!! PLEASE HELP!!

OLga [1]

The domain of the function is the set of all x's that are suitable for the given equation. In the problem, we are asked to determine the equation with the most restricted domain. Option A can have x from negative infinity to positive infinity as well as option B and option D. OPtion C can only have x equal to zero and all positive numbers. Hence the answer is C. hope that helped

3 0

3 years ago

Read 2 more answers

find a function whose second derivative is y''=12x-2 at each point (x,y) on its graph and y=-x+5 is tangent to the graph at the

pogonyaev

Start by integrating y'' twice to get function y(x).

$y' = \int (12x - 2) dx = 6x^2 -2x + c \\ \\ y = \int (6x^2 -2x+c )dx= 2x^3-x^2 +cx+d$

Next find value of coefficients 'c' and 'd' using the given tangent line
The slope of tangent line is equal to y' when x=1.

$6x^2 -2x+c = -1, x = 1 \\ \\ 6-2+c = -1 \\ \\ c = -5$

The tangent line intersects the curve y(x) when x = 1.
If x = 1, then y = 4 (From y =-x+5)

$y = 2x^3 -x^2-5x +d , x = 1, y = 4 \\ \\ 2-1-5+d = 4 \\ \\ d = 8$

Final Answer:
$y = 2x^3 -x^2 -5x+8$

3 0

3 years ago