MATHEMATICS HIGH SCHOOL

9. Carson draws a scale drawing of a city park and a parking lot. The city 10 points park is in the shape of aright triangle with legs that are 3 inches and 4 inches. The parking lot is in a shape of a rectangle with dimensions of 1.5 inches and 2.5 inches. The scale for the drawing is 1 inch = 40 feet. What are the TWO actual areas for the shapes that are represented?​

Answers

Answer 1
Answer:

Answer:

The answer is below

Step-by-step explanation:

The scale for the drawing is 1 inch = 40 feet.

The right angled triangle has legs of 3 inches and 4 inches. Using the scale, the length of the legs is:

3 inches = 3 inch * 40 feet / inch = 120 feet and 40 inches =  4 inch * 40 feet / inch = 160 feet.

The area of a right angled triangle is half the product of the two legs. Hence:

Area of right angled triangle = 1/2 * 120 feet * 160 feet = 9600 ft²

The rectangle with dimensions of 1.5 inches and 2.5 inches. Using the scale, the length of the sides is:

1.5 inches = 1.5 inch * 40 feet / inch = 60 feet and 2.5 inches =  2.5 inch * 40 feet / inch = 90 feet.

The area of a rectangle is the product of the two sides. Hence:

Area of rectangle = 60 feet * 90 feet = 5400 ft²

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PLEASE HELP FAST!! Lake Alice is filled with alligators and turtles. The number of turtles is 16 less than 3 times the number of alligators in the lake. There are 200 reptiles total. Create an equation along with the correct answer to it. What does your answer mean in terms of the real-world scenario? (interpret it).

Please answer the question from the attachment.

Answers

If y = 4x then you'd input that information into your equation making: 3x-4x = 1
The correct solution is: 3(-1)-4(-1) = 1
y = 4x           .....(a)

3x - y = 1.    ......(b)

Substitute y = 4x in (a) into (b)

3x - y = 1......(b)

3x - 4x = 1

-x = 1

x = -1

Recall, y = 4x ........(a)

y = 4*(-1)

y = -4.

Therefore, x = -1, and y = -4.

The function f(x) = 7 – 4x + x2 written in vertex form is f(x) = (x – 2)2 + 3. What is the axis of symmetry for the function?x = –3
x = –2
x = 2
x = 3

Answers

Answer:

x = 2

Step-by-step explanation:

The vertex form of the parabola is given by f(x)=(x-2)^2+3

Comparing this equation with vertex form of a parabola y=a(x-h)^2+k, where (h,k) is the vertex

h = 2

k = 3

Hence, vertex is (2,3)

Now, axis of symmetry of a parabola passes through the vertex and divide the parabola in two equal halves.

Hence, axis of symmetry of the parabola is given by

x = h

x = 2

Third option is correct.
Hello,
Answer x=2 (x=h in vertex form y=a(x-h)²+k )

How many solutions does the system 2y=10x-14 and 5x-y=7 have? need worked out step by step please!

Answers

2y=10x-14
5x-y=7

Divide both sides by 2 in the 1st equation
y=5x-7
Now substitute is to 2nd equation 
5x-5x+7=7
0=0

Therefore there is no solution or it is inconsistent 
these 2 equations are actually the same, 
hope u can understand.

W + 1200+209 = 2000This might seem easy but I seriously don’t know how to get to the answer

Answers

Answer:

591

Step-by-step explanation:

added the 2 in the equation and minused 2000 from that

Orlando invested $16,000 in an eight-year CD bearing 6.5% interest, but needed to withdraw $3,500 after five years. If the CD’s penalty for early withdrawal was one year’s worth of interest on the amount withdrawn, when the CD reached maturity, how much less money did Orlando earn total than if he had not made his early withdrawal?a.
$227.50
b.
$682.50
c.
$910.00
d.
$455.00

Answers

B is the correct answer. Firstly, you have to work out the amount of interest earned per year by multiplying the sum invested ($16,000) by the interest rate (6.5%, or 0.065). Then multiply the result by eight to find out how much money Orlando would get when the CD reaches maturity if he doesn't withdraw any money. To calculate interest when money is withdrawn, multiply the annual interest by five, to work out how much interest Orlando earns in the first five years. Then work out the interest on the reduced investment ($16,000 - $3,500) in the same way and multiply by three to calculate the remaining three years' interest. Add the total interest for three years to the total interest to five years, which will tell you how much interest Orlando recieves when he makes the withdrawal. Finally, you can now take this away from the interest he would have made if he had not made a withdrawal, and this will tell you the difference.

The real correct answer is C. $190.00

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B.-1/x+c
C.1/3x3+c
D.-1/3x3+c

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where n is the old power so the result will be (C)
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