Given two sides with lengths 34 and 14, which of these lengths would NOT work for the third side of a triangle? 18, 34, 44, 22, 40

Answers

Answer 1
Answer: Two sides are 34 and 14.

The third side can't be longer than (34 + 14) = 48, because the 34 and the 14
together could not reach from one end of it to the other. 

The third side also can't be shorter than 20, because the 20 and the 14 together
could not reach from one end of the 34 to the other.

So 18 doesn't work. (18 + 14) = 32 ... they couldn't cover the 34 .

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What is 12 thousandth in scientific notation?

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The number 0.012 can be equal to 1.2 × 10⁻².

The quotient of a number and 3, increased by 4 is 5, what is the expression

Answers

Answer: The answer would be 3 +n +4 = 5

Step-by-step explanation:

Welcome

Answer:

see explanation

Step-by-step explanation:

let the number be n , then

(n)/(3) + 4 = 5

Compute the length of the curve f(x)=4√7(4−x2) over the interval 0≤x≤2. (Use decimal notation. Give your answer to three decimal places.)

Answers

Answer:

To compute the length of the curve f(x)=47(4−x2) over the interval 0≤x≤2, we need to use the formula for the arc length of a function:

L=∫ab1+(f′(x))2dx

where a and b are the endpoints of the interval. First, we need to find the derivative of f(x), which we can do by using the chain rule and the power rule:

f′(x)=4dxd7(4−x2)

f′(x)=427(4−x2)1dxd(7(4−x2))

f′(x)=427(4−x2)1(−14x)

f′(x)=−7(4−x2)28x

Next, we need to plug in f′(x) into the formula and simplify:

L=∫021+(−7(4−x2)28x)2dx

L=∫021+7(4−x2)784x2dx

L=∫027(4−x2)7(4−x2)+784x2dx

L=∫024−x228−21x2dx

Now, we need to evaluate the integral, which we can do by using a trigonometric substitution. Let x=2sinu, then dx=2cosudu and u=arcsin(x/2). The limits of integration change as follows:

x=0⟹u=0

x=2⟹u=2π

The integral becomes:

L=∫02π4−(2sinu)228−21(2sinu)2(2cosu)du

L=∫02π4−4sin2u28−84sin2u(2cosu)du

L=∫02π1−sin2u7−21sin2u(2cosu)du

L=∫02πcos2u7−21sin2u(2cosu)du

L=∫02π27−21sin2udu

Using a trigonometric identity, we can write:

L=∫02π4127−1221cos(2u)du

Using another trigonometric substitution, let v=2u, then dv=2du and u=v/2. The limits of integration change as follows:

u=0⟹v=0

u=2π⟹v=π

The integral becomes:

L=∫0π4127−1221cosv(21)dv

L=6∫0π 

In hyperbolic geometry, an arc whose endpoints are on the edge of the Poincaré disk must be a line.A. True
B. False

Answers

It would to absolutely false to say that in hyperbolic geometry, an arc whose endpoints are on the edge of the Poincaré disk must be a line. The correct option among the two options that are given in the question is the second option or option "B". I hope the answer comes to your help.

The area A of a circle is given by the formula: A = pie r ² If the radius of the circle is 7 inches, find the area of the circle​

Answers

Answer:

49 pi in^2 or approximately 153.86 in^2

Step-by-step explanation:

A = pi r ²

Let r = 7

A = pi 7 ²

A = 49 pi

If we approximate pi by 3.14

A is approximately 153.86 in^2

The answer is about 153.938

Write cos 23 degrees in terms of sine

Answers

Answer:

0.3907.

Step-by-step explanation:

Using trigonometric identities, we can write cos 23° in terms of sin 23° as, cos(23°) = √(1 - sin²(23°)). Here, the value of sin 23° is equal to 0.3907.

Answer:

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