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pickupchik [31]
2 years ago
10

The lengths of the sides of a triangle are 7, 24 and 25. Classify the triangle as acute, right, or obtuse. Choose the correct ty

pe of triangle below. ⭐️Obtuse ⭐️Right ⭐️Acute
Mathematics
1 answer:
Gennadij [26K]2 years ago
7 0

Answer:

Right angled triangle

Step-by-step explanation:

This is because the square root of the sum of the squares of 7 and 24 is 25 ( Pythagoras theorem) . This only works for right angled triangle.

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Mikes movie Rentals Charge $3.00 for each rental plus $0.50 for each additional day. Reed's Rentals Charge $1.50 each rental plu
iris [78.8K]

Answer:

2

Step-by-step explanation:

What we need here is to express both charges trough equations, and then find out for which value these equations are equal.

Let X be the amount of additional days of rent.

So, Mikes Movie Rentals cost equations is:

CostMike = 3 + 0.5X

This implies that if there is no additional day (X=0), the cost is $3, if there is one additional day the cost is $3.5, for 2 days $4, and so on ...

Now lets find Reed's Rental cost.:

CostReed = 1.5 + 1.25X

And the interpretation is analogous to the one above. If there is no additional day, Reed's charge is $1.5, for 1 days $2.75, for 2 days $4

(Notice that with the examples I made about interpreting the equations I found out that for 2 days the cost of both is the same. Now lets find it analytically)

For finding the additional days that give the same costs we need to equal both equations:

3 + 0.5 X = 1.5 + 1.25 X

Lets subtract 1.5 from both sides:

3 - 1.5 + 0.5 X = 1.5 - 1.5 + 1.25 X

1.5 + 0.5 X = 1.25 X

Now subtract 0.5 X in both sides:

1.5 + 0.5 X - 0.5 X = 1.25 X - 0.5 X

1.5 = 0.75 X

Dividing both sides by 0.75:

1.5 / 0.75 = 0.75 X / 0.75

2 = X

So, for 2 additional days bith charges are equal.  

6 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is 2x+2y=28
malfutka [58]

Answer:

1

Step-by-step explanation:

1) First, place the given equation in slope-intercept form (y = mx +b format) to find its slope easier. Isolate the y:

2x + 2y = 28\\2y = -2x + 28\\y = -x+14

So, the equation of the line in slope-intercept form is y = -x + 14. When an equation is in slope-intercept form, the m, or the coefficient of the x-term, represents the slope. Thus, the slope for the given line would be -1.

2) Lines that are perpendicular have slopes that are opposite reciprocals of each other. We need to find the opposite reciprocal of -1, then.

To find the opposite reciprocal of a number, write the given number as a fraction first -- making -1 be written as   -\frac{1}{1} -- then switch the sign and flip the numerator and denominator. So, the opposite reciprocal of -1 is 1, and 1 is the slope of the perpendicular line.

3 0
2 years ago
Determine whether the relationship between the circumfrance of a circle and its diameter is a direct variation. If so, identify
kipiarov [429]

Answer:

The relationship between the circumference of a circle and its diameter represent  a direct variation and the constant of proportionality is equal to the constant \pi

Step-by-step explanation:

we know that

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

where K is the constant of proportionality

In this problem we know that

The circumference of a circle is equal to

C=\pi D

therefore

the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant \pi

3 0
3 years ago
Your load is a container full of water. The container measures
solmaris [256]

Answer:

1282kg

Step-by-step explanation:

1.0*1.12*1.1=1.232 tonnes

50kg + 1232kg = 1282kg

Hope this helps :)

7 0
2 years ago
Read 2 more answers
Which graph represents the function below?
Nady [450]
Answer=last one





Good luck
4 0
2 years ago
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