For which pair of points can you use this number line to find the distance?

A triangle has 2 sides that equal 5 inches. The other side equals 4 inches

miskamm [114]

Answer:

Isosceles triangle

Step-by-step explanation:

It is assumed that the triangle is a right angle triangle, implying that Pythagoras theorem becomes applicable.

If the first side is represented by x and the second side by y,

x + y = 5

The hypotenuse is always the longest side hence it can be presumed to be 4 since both x and y cannot be more than 5.

Therefore using pythagoras equation:

hyp^2 = sqrt(opp^2 + adj^2)

this implies that

$4^{2} = \sqrt{x} (x^{2} +y^{2}$

therefore

16 = sqrt (x^2 + y^2) ----------------- (i)

since x + y = 5, y = 5 - x ------------------- (ii)

substituting (ii) into eqn (i)

16 = sqrt ( x^2 + (5-X)^2)

16 = sqrt( x^2 + 25 -10x + x^2)

16 = sqrt( x^2 + x^2 - 10x + 25)

16 = sqrt( 2x^2 - 10x + 25)

squaring both sides

256 = 2x^2 - 10x + 25

this can be refined as

2x^2 - 10x - 231 = 0

Solving using quadratic equation:

where a = 2, b = -10 and c = -231

x = 13.53 or -8.53.

Since x is a side of a triangle that cannot be negative,

x = 13.53 but x can never be greater than 5 since x + y = 5

This implies that the triangle is not a right angle triangle; it is most likely an isosceles triangle with two sides of equal length such that x = y = 2.5 inches while the longest side; the hypotenuse is 4 inches.

substituting for x in

4 0

3 years ago

PLEASE HELP..... I WILL GIVE BRAINLIEST!!

Yakvenalex [24]

For the first part:

Every shirt she grabs, will cost her dollars, so if she grabs 3 shirts, then the cost of the shirts is:

$12+12+12=3(12)$

With the same rationale, if she grabs 2 pairs of jeans, the cost of the jeans is:

$19+19=2(19)$

So, her total is:

$3(12)+2(19)$

If you subtract 3 from the total, then the expression is:

$3(12)+2(19)-3=36+38-3=71$

For the second part:

If she's paying 3 less for each shirt, then the cost of 3 shirts will become:

$(12-3)+(12-3)+(12-3)=3(12-3)$

In the same fashion, for the two jeans:

$(19-3)+(19-3)=2(19-3)$

So the expression for the total cost is:

$3(12-3)+2(19-3)=36-9+38-6=59$

For number three:

The amounts are different because the cost of the total purchase is different than the cost of each element that makes up the total purchase.

For number four:

If you're the owner, you want to give the smallest amount of discount (the one in part 1/a).

So you could clarify by saying there's 3 dollars of the TOTAL purchase's cost.

6 0

3 years ago

A new car sells for $27,500. The value of the car decreases by 14% annually. You want to sell the car when it's worth about $400

NemiM [27]

Answer: 13 years.

Step-by-step explanation:

The price decreases by 14% anually

To find the decimal form, you have 14%/100% = 0.14

So, the year zero, the price is $27,500

After one year, the price is:

P = $27,500 - 0.14*$27500 = $27,500*(0.86)

After the second year, the price is:

P = $27,500*(0.86)^2

and so on, so we want to find x such that:

P = $27,500*(0.86)^x = $4000

0.86^x = $4000/$27,500

Now, using the natural logaritm rule:

a^x = b

x = ln(a)/ln(b)

x = ln($4000/$27,500)/ln(0.86) = 12.8

We can round it up to 13, so after 13 years the price of the car is about $4000

7 0

3 years ago

Whats another way to write 300 70 5/10 8/100?

Triss [41]

I do not think we need to rewrite the first two numbers in the given above because they are already the simplest forms of themselves being whole numbers. However, the third number may be rewritten as 1/2 by dividing both numerator and denominator by 5 and the last one as 2/25 by dividing both numerator and denominator by 4.

3 0

3 years ago

Read 2 more answers

1/3 of Murka’s age is twice as much as Ivan’s age. What is the ratio of Murka’s age to Ivan’s age?

Korvikt [17]

Answer:

6:1

Step-by-step explanation:

4 0

3 years ago