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3 years ago

A triangle has sides with lengths of 4 inches, 8 inches, and 9 inches. Is it a right triangle?

Mathematics

2 answers:

olasank [31]3 years ago

7 0

Answer:

$\boxed {\boxed {\sf No, \ not \ a \ right \ triangle}}$

Step-by-step explanation:

If a triangle is a right triangle, it will satisfy Pythagorean's Theorem.

$a^2+b^2=c^2$

When a and b are the legs of the triangle and c is the hypotenuse.

4 and 8 would be the legs of the triangle. 9 would be the hypotenuse because it is the longest side.

$(4)^2 + (8)^2 = (9)^2$

Solve the exponents.

$16+64=81$

Add on the left side of the equation.

$80=81\\80 \neq 81$

80 is not equal to 81. The triangle does not satisfy Pythagorean's Theorem, so it cannot be a right triangle.

Inga [223]3 years ago

4 0

Answer:

No, its not a right triangle

Step-by-step explanation:

$4^{2} +8^{2} =9^{2}$

16 + 64 = 81

80 = 81

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Find the 20th term of the following sequence. -6, -4,-2, O,...

pav-90 [236]

Step-by-step explanation:

An=-6+(20-1)×2

=-6+19(2)

=-6+38

=32

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3 years ago

Please help geometry

ss7ja [257]

They are not congruent

6 0

3 years ago

Private nonprofit four-year colleges charge, on average, $27,293 per year in tuition and fees. The standard deviation is $7,235.

Natali5045456 [20]

Answer:

a) $X\sim(27293,(7235)^2)$

b) 0.1567

c) $P_{70}=31084.14$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $27,293 per year

Standard Deviation, σ = $7,235

We are given that the distribution of cost of college is a bell shaped distribution that is a normal distribution.

a) Distribution of X

Let X be the cost for a randomly selected college. Then,

$X\sim (\mu, \sigma^2)\\X\sim(27293,(7235)^2)$

b) Probability that a randomly selected Private nonprofit four-year college will cost less than $20,000 per year.

$P( x < 20000) = P( z < \displaystyle\frac{20000 - 27293}{7235}) = P(z < -1.008)$

Calculation the value from standard normal z table, we have,

$P(x < 20000) = 0.1567$

c) 70th percentile for the distribution.

We have to find the value of x such that the probability is 0.7

$P( X < x) = P( z < \displaystyle\frac{x - 27293}{7235})=0.7$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 27293}{7235} = 0.524\\\\x = 31084.14$

The 70th percentile for the distribution of college cost is $31,084.14

4 0

3 years ago

The residents of Greenville used their cell phones for 344,120 minutes last year. It also turn out that they used the 5% less th

cricket20 [7]

Answer:

326,914 Minutes this year.

Step-by-step explanation:

You would do the equation y= 344,120 (1 - 0.05)

Y = 344,120(0.95)

Y = 326914

4 0

4 years ago

What is the value of x? O 2 03 06 07 "Е

Svet_ta [14]

Ima pretty sure it’s 06

6 0

2 years ago