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2 years ago

X Find the value of x. Show 3 10 your work.

Mathematics

1 answer:

pickupchik [31]2 years ago

7 0

Step-by-step explanation:

Hello, there!!!

Let ABC be a Right angled triangle, 

where, AB = 3

BC= 10

and AC= x

now,

As the triangle is a Right angled triangle, taking angle C asrefrence angle. we get,

 h= AC = x

p= AB = 3

b= BC= 10

now, by Pythagoras relation we get, 

 $h = \sqrt{ {p}^{2} + {b}^{2} }$ 

 $or ,\: h = \sqrt{ {3}^{2} + {10}^{2} }$ 

by simplifying it we get, 

h = 10.44030

Therefore, the answer is x= 10.

Hope it helps...

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The first equation of the system is multiplied by 2. By what number would you multiply the second

SSSSS [86.1K]

Answer:

we will have to multiply the second equation by 3 to eliminate the y variable by adding.

Step-by-step explanation:

Given the equations

4x – 3y = 6 → (1)

6x + 2y = 10 → (2)

As the first equation is multiplied by 2,

2(4x – 3y) = (2)6

8x - 6y = 12 → (3)

As we have to eliminate y,

so multiply the second equation by 3,

6x + 2y = 10

3(6x + 2y) = 3(10)

18x + 6y = 30 → (4)

So now adding the new equations (3) and (4) will eliminate the y variable by adding

8x - 6y = 12

18x + 6y = 30

--------------------

26x + 0y = 42

26x = 42

x = 42/26

x = 21/13

Therefore, we will have to multiply the second equation by 3 to eliminate the y variable by adding.

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2 years ago

A triangle has vertices at points (0, 0), (a, b), and (2a, 0). Select all points that lie on the sides of the triangle. A. (a, 0

RSB [31]

Answer:

A. (a, 0)

D. (a/2,b/2)

Step-by-step explanation:

(a, 0) lies on one side of the triangle, because it is between (0,0) and (2a,0)

(0, b) doesn't lie on one side of the triangle, because only the only point with x-coordinate = 0 is (0,0)

(–a, b) doesn't lie on one side of the triangle, because only positive values are valid

Imagine the triangle with vertices (0,0), (a, 0) and (a,b). Let's call β the angle at vertex (0,0)

tan(β) = b/a

For triangle with vertices (0,0), (a/2, 0) and (a/2,b/2)

tan(β) = (b/2)/(a/2) = b/a

then, (a/2,b/2) lies on one side of the triangle

For triangle with vertices (0,0), (a/3, 0) and (a/3,b/4)

tan(β) = (b/4)/(a/3) = (3/4)*(b/a) ≠ b/a

then, (a/3,b/4) doesn't lie on one side of the triangle

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2 years ago

Suppose that, when taking a random sample of three students' GPAs, you get a sample mean of 3.90. This sample mean is far high

vesna_86 [32]

Answer:

Your sample most likely is biased, but simply getting a high number does not 100 percent mean your answer was biased. It could be a pure coincidence that you picked students with high GPAs. However, it is likely that your answer is biased. You may have sampled kids that are in advanced classes. You may have sampled students that were in some sort of honors club. You may have sampled students that were all hanging out in the library, a place that most people come to study and prepare for classes. So again, while your higher than normal answer could have been a coincidence, you most likely had a biased sample.

Step-by-step explanation:

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2 years ago

Andreus made $625 mowing yards. He worked for 5 consecutive days and earned the same amount of money each day. How much money di

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2 years ago

consider the polynomial 2/3x (2x-3) - (x-7) (x+7) when simplified, what is the coefficent of the quadratic term?

Svet_ta [14]

Answer:

x^2 - 6x + 147 so the coefficient is 1

Step-by-step explanation:

First, simplify the equation.

1. 2/3x(2x-3) = (2x/3)(2x-3)-(x-7)(x+7)

2. 2x-3(2x/3) = (2x(2x-3)) - (x-7)(x+7)

3. Expand -(x-7)(x+7) = -x^2+49

Combine to get (x^2 - 6x)/3 +49

Simplify to get x^2 - 6x + 147. The coefficient of the quadratic term is one.

4 0

2 years ago