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Alexxx [7]
3 years ago
13

Mr. Porter owns a house. When he first bought the house it was valued at d dollars. Since then, the value of the house has incre

ased. Mr. Porter writes the equation below to express the current value of his house. d + 0.21d = 1.21d Mr. Porter claims that the value of his house has increased by 121%, since 1.21 is equal to 121%. Decide if Mr. Porter is correct. If he is correct, enter 121 below. If he is not correct, enter the correct percent increase.
Mathematics
2 answers:
Tamiku [17]3 years ago
6 0
In Mr. Porter's equation the initial "d" represents the initial value of the house. The term "+0.21d" represents the increase in value, 21% of its original value (d).

The correct percentage increase is 21%.
kirill115 [55]3 years ago
5 0

Answer:

His claim is wrong as the percent increase is 21%.

Step-by-step explanation:

The given expression is:

d+0.21d=1.21d

Given is that at the time of purchase, the house it was valued at 'd' dollars.

So, original price (d) plus percent increase on original price (0.21d) equals to current price (1.21d)

We can see that the percent increase was 21%.

Mr. Porter claims that the value of his house has increased by 121%, since 1.21 is equal to 121%.

His claim is wrong as the percent increase is 21%.

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A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle
hjlf

Answer: 150mm

Step-by-step explanation:

Take the two adjecent sides of the triangle to be x and y and X is the angle opposite the side, x.

From the trigonometric identities for a right-angled triangle, it is known that

x=170sin X and;

y=170cos X

Thus the perimeter of the triangle is given by

170sin X + 170cos X + 170 = 400

170(sin X + cos X) = 400 - 170

170(sin X + cos X) = 230

sin X + cos X = 230/170 = 1.3529

Squaring both sides hence,

sin^2(X) + 2sin X.cos X + cos^2(X) = 1.8304

Recall that sin^2(X) + cos^2(X) = 1 and 2sin X.cos X = sin 2X.

Thus, the former expression gives;

1 + sin 2X = 1.8304

sin 2X = 0.8304

2X = arcsin (0.8304)

2X = 56.14° or (180 - 56.14)° = 56.14° or 123.86° for X existing within a triangle.

X = 56.14/2 or 123.86/2

X = 28.07° or 61.93°

Thus the two adjacent sides are ;

x = 170 sin (28.07) = 80mm

y = 170 cos (28.07) = 150mm

Using the value of 61.93° as X would give the same values but interchanged for x and y.

I hope you find this useful.

5 0
3 years ago
How many fiths are in 1 whole
sattari [20]
Five fifths are in one whole. 
Don't believe me?
So you just do 1÷5
which is 5!
~JZ
Hope it helps you :)!
6 0
3 years ago
Read 2 more answers
Find two consecutive odd integers whose product is 1443
liberstina [14]

Let's x represents the first odd integer

The next consecutive integer would be represented as x+2.

So x and x+2 being multiplied together will give us 1443:

(x)(x+2)=1443

x^2+2x=1443

x^2+2x-1443=0

By solving the quadratic equation using the quadratic formula, x will equal to 37 and -39.

Since the problem says "integers", so I'm assuming two pairs of consecutive integers would be ok.

With that said you 1st pair will be: 37,39

Your second pair will be: -37,-39.



6 0
3 years ago
What is the answer A, B, C, or D
adell [148]

The answer would have to be

D


7 0
3 years ago
What's the vertex and is it a max or min
MrRa [10]
A vertex can be the max or min. The vertex is the highest point or lowest point of a function.
5 0
3 years ago
Read 2 more answers
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