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Vinil7 [7]
3 years ago
11

Given that 3 x : 10 = 5 : 2 Calculate the value of x .

Mathematics
1 answer:
borishaifa [10]3 years ago
7 0

\tt{ 3x:10=5:2 } ⠀

\tt{\dfrac{3x}{10}=\dfrac{5}{2}  } ⠀

\tt{3x×2=10×5  } ⠀

\tt{6x=50  } ⠀

\tt{x=\dfrac{50}{6}  } ⠀

\tt{ x=\dfrac{25}{3}} ⠀

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An elevator travels 310 feet in 10 seconds. how far can this elevator travel in 12 seconds?​
anyanavicka [17]

Answer:

372 ft

Step-by-step explanation:

310 divided by 10 is 31 and 31x12 is 372

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3 years ago
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ikadub [295]
Multiply all the sides
4 0
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PLEASE ANSWER THIS QUICKLY
Butoxors [25]

Answer:

Yes

Step-by-step explanation:

25+144=169

the frame forms perpendicular lines meaning they are 90 degrees

8 0
3 years ago
Two altitudes of a triangle have lengths $12$ and $14$. What is the longest possible integer length of the third altitude
nataly862011 [7]

The longest possible altitude of the third altitude (if it is a positive integer) is 83.

According to statement

Let h is the length of third altitude

Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.

From Area of triangle

A = 1/2*B*H

Substitute the values in it

A = 1/2*a*12

a = 2A / 12 -(1)

Then

A = 1/2*b*14

b = 2A / 14 -(2)

Then

A = 1/2*c*h

c = 2A / h -(3)

Now, we will use the triangle inequalities:

  • a < b+c

2A/12 < 2A/14 + 2A/h

Solve it and get

h<84

  • b < a+c

2A/14 < 2A/12 + 2A/h

Solve it and get

h > -84

  • c < a+b

2A/h < 2A/12 + 2A/14

Solve it and get

h > 6.46

From all the three inequalities we get:

6.46<h<84

So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.

Learn more about TRIANGLE here brainly.com/question/2217700

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8 0
2 years ago
I need help with number 19
inysia [295]
Let's start by understanding that the graph is a linear line. We have a common difference if 4.5 for every 10x we have more.

We can start by finding the gradient, using rise over run. Let's take (10, 4.5) and (20, 9)

Our rise is 9 - 4.5 = 4.5 and our run is 10. Then, our gradient becomes 4.5/10 = 0.45

Now, we can substitute points using the point-slope form.

y - 4.5 = 0.45(x - 10)
y - 4.5 = 0.45x - 4.5
Hence, our line becomes y = 0.45x and you can verify by substituting in points from the table.
4 0
3 years ago
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