Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown.What is the smallest possible whole-number length of the unknown side?

Answers

Answer 1

Answer:

Answer:

The smallest possible whole-number length of the unknown side is $19\ inches$

Step-by-step explanation:

we know that

The triangle inequality theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x-----> the length of longest side

Applying the triangle inequality theorem

case A)

$10+15 > x$

$25 > x$

Rewrite

$x< 25$

case B)

$10+x > 15$

$x > 15-10$

$x> 5$

The solution of the third side is the interval-------> $(5,25)$

but remember that

In an obtuse triangle

$x^(2) > a^(2) +b^(2)$

$x^(2) > 15^(2) +10^(2)$

$x > 18.03\ inches$

Round to a whole number

$x= 19\ inches$

Answer 2

Answer:
10^2 (10 squared) + 15^2 = C^2
100+225=c^2
325=c^2
√325
√25⋅13
√ 25 ⋅√13
5√ 13√325≈18.027756377319946
The whole number would be 5√ 13
It's the converse of the Pythagorean theorem.

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Alexa is making a recipe that requires 1 cup of water and 4 cups of flour. Which of the following combinations shows the same ratio of water to flour?A. 2 cups of water to 3 cups of water

B. 2 cups of water to 4 cups of flour

C. 2 cups of water to 8 cups of flour

D. 3 cups of water to 6 cups of flour

Answers

Answer: c

Step-by-step explanation: 1:4 is 4 times the flour to water and 2:8 is also 4 times the flour

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Answers

Answer:

TUW=VUW

Step-by-step explanation:

Answer:

Option 3: Angle TUV = angle VUW

Step-by-step explanation:

If j and k are intersecting lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and D? A. Infinitely many
B. We can't determine from the given information.
C. Exactly one
D. None

Answers

The correct answer to this question is letter "B. We can't determine from the given information."

Using the information as stated, "If j and k are intersecting lines, A and B are points on j, and C and D are points on k," the number of planes that contain points A, B, C, and D cannot be determined because of the lack of information.

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Answers

Answer:

Bottom left

Step-by-step explanation:

Function: each x only has one y, and this is the only graph that fits the description

The answer is the bottom left one!

H= -16t^2+16t+192 When will the ball hit the ground?

Answers

Answer:

t = 4 s

Step-by-step explanation

We can infer the origin from the t⁰ term of the quadratic as being 192 feet above the ground. Initial velocity is 16 ft/s from the t¹ term, gravity is -32 ft/s² from the t² term

0 = -16t² + 16t + 192

0 = -t² + t + 12

0 = t² - t - 12

0 = (t - 4)(t + 3)

so either

t - 4 = 0

t = 4 s

t + 3 = 0

t = -3 s which we ignore as it occurs before the ball is released.

Is 16.5 the same thing as 16 or is it greater than 16?