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3 years ago

A triangle has sides with lengths of 45 feet, 76 feet, and 90 feet. Is it a right triangle?

Mathematics

2 answers:

Lana71 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

Longest side of the triangle has the length = 90 feet

Other two sides are 45 feet and 76 feet

If the triangle is a right triangle then square of the longest side is equal to the sum of squares of the other two sides.

=> $90^{2} = 45^{2} + 76^{2}$

Left Hand Side = $90^{2}$ = 8100

Right Hand Side = $45^{2} + 76^{2}$

= 2025 + 5776

= 7801

So the left hand side is not equal to right hand side. The condition for right triangle is NOT satisfied.

Marat540 [252]3 years ago

6 0

Answer:

Step-by-step explanation:

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I suck at math and need help

tankabanditka [31]

Answer:

B. 3 + 5i

Step-by-step explanation:

-2i + (9 - 3i) - (6 - 10i) =

= - 2i + 9 - 3i - 6 + 10i

= 5i + 3

= 3 + 5i

3 0

3 years ago

Read 2 more answers

Choose three different colors to highlight the Statement in the proof and match it to it's angle or line segment in the diagram.

aliya0001 [1]

Answer:

See the attached

Step-by-step explanation:

The highlights are attached

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3 years ago

The computer center at Dong-A University has been experiencing computer down time. Let us assume that the trials of an associate

Schach [20]

Answer:

(a)0.16

(b)0.588

Step-by-step explanation:

The matrix below shows the transition probabilities of the state of the system.

$\left(\begin{array}{c|cc}&$Running&$Down\\---&---&---\\$Running&0.90&0.10\\$Down&0.30&0.70\end{array}\right)$

(a)To determine the probability of the system being down or running after any k hours, we determine the kth state matrix $P^k$ .

(a)

$P^1=\left(\begin{array}{c|cc}&$Running&$Down\\---&---&---\\$Running&0.90&0.10\\$Down&0.30&0.70\end{array}\right)$

$P^2=\begin{pmatrix}0.84&0.16\\ 0.48&0.52\end{pmatrix}$

If the system is initially running, the probability of the system being down in the next hour of operation is the $(a_{12})th$ entry of the P^2$ matrix.$

The probability of the system being down in the next hour of operation = 0.16

(b)After two(periods) hours, the transition matrix is:

$P^3=\begin{pmatrix}0.804&0.196\\ 0.588&0.412\end{pmatrix}$

Therefore, the probability that a system initially in the down-state is running

is 0.588.

(c)The steady-state probability of a Markov Chain is a matrix S such that SP=S.

Since we have two states, $S=[s_1$ s_2]$

$[s_1$ s_2]\left(\begin{array}{ccc}0.90&0.10\\0.30&0.70\end{array}\right)=[s_1$ s_2]$

Using a calculator to raise matrix P to large numbers, we find that the value of $P^k$ approaches [0.75 0.25]:

Furthermore,

$[0.75$ 0.25]\left(\begin{array}{ccc}0.90&0.10\\0.30&0.70\end{array}\right)=[0.75$ 0.25]$

The steady-state probabilities of the system being in the running state and in the down-state is therefore:

$[s_1$ s_2]=[0.75$ 0.25]$

4 0

3 years ago

sleet_krkn [62]

Answer:

Step-by-step explanation:now a full glass holds 1/6 of a bottle that means 1 bottle contains 6 glasses. hence,3 bottles should be 3x6=18. now 1 bottle =6 glasses, then 1/2=6/2=3. ∴3 1/2 bottles would be=18+3=21 glasses

8 0

3 years ago

Solve the equation: -2 = 1/2x + b

ANTONII [103]

Answer:

If solving for x, the answer is x = -2b - 4.

Step-by-step explanation:

If solving for b, the answer is b = -2 - $\frac{x}{2}$ .

8 0

3 years ago