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Ivanshal [37]
3 years ago
12

The sides of a right triangle containing the right angle are (5x) cm and (3x - 1) cm. If the area of the triangle be 60 cm, calc

ulate the length of the sides of the triangle.
Mathematics
2 answers:
ladessa [460]3 years ago
6 0

Answer: hypotenuse (h) = 17 cm

Step-by-step explanation:

Nadusha1986 [10]3 years ago
6 0

The area of a right triangle is found using the formula 1/2 x base x height.

Using the provided information the equation becomes:

60 = 1/2 * 5x * (3x-1)

Combine 1/2 and 5x:

60 = 5x/2 * (3x-1)

Multiply each term by 2/5:

24 = 3x^2 - x

Subtract 24 from each side:

3x^2 - x - 24 = 0

Now factor the polynomial:

(x-3)(3x+8) = 0

Solve for each x for 0:

3-3 = 0, so x = 3

3x +8 = 0 : subtract 8 from each side:

3x = -8

divide both sides by 3: x = -8/3

Since a side of a triangle cannot be a negative value, we now know x = 3

Now replace x in each side with 3 and solve:

5x = 5(3) = 5 x 3 = 15

3x-1 = 3(3)-1 = 9-1 = 8

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Anvisha [2.4K]

A recipe for cinnamon rolls uses 2 tablespoons of sugar per teaspoon of cinnamon for the filling. Write the ratio that represents sugar to cinnamon for three batches of filling

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Each batch of filler

2 tablespoons of sugar per teaspoon of cinnamon for the filling

2:1

For three batches of filling

2*3 tablespoons of sugar per 1*3 teaspoons of cinnamon for the filling

6 tablespoons of sugar per 3 teaspoons of cinnamon for the filling

6:3

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1 year ago
A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of sugar to water
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3 years ago
X= 2 y-4<br> 7 x + 5y = -66
Mars2501 [29]

Answer:

−7x−5y=4 - 7 x - 5 y = 4. Rewrite in slope-intercept form. Tap for more steps... The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is ...

Step-by-step explanation:

6 0
3 years ago
The gazebo in the park is an octagon. Each side of the gazebo is 4 feet long. What is the perimeter of the gazbo A. 36 feet B. 3
elixir [45]
Well an octagon has 8 sides and if each side is 4 feet long then it is 8x4 so that equals 32.
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8 0
3 years ago
What is the equation, in slope-intercept form, of the line that passes through (0, 3) and has a slope of −6?
crimeas [40]

Answer:

The answer is

<h2>y =  - 6x - 3</h2>

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

<h3>y  - y_{1} = m(x - x _{1})</h3>

where

m is the slope

( x1 , y1) is the point

From the question the point is (0 , 3) and slope is - 6

Substitute the values into the above formula and solve

That's

<h3>y -  3 =  - 6(x - 0) \\ y - 3 =  - 6x</h3>

We have the final answer as

<h3>y =  - 6x - 3</h3>

Hope this helps you

8 0
3 years ago
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