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2 years ago

Can a triangle have sides with the given lengths? 2 in, 4 in, 6 in

Mathematics

1 answer:

Zanzabum2 years ago

6 0

Answer:

Step-by-step explanation:

Because the sum of the minor sides equals the measure of the major side, it must be less.

2 + 4 = 6

Hope this helps

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Find the age of the skull to the nearest year.

svp [43]

Eqbdu=r>[email protected],:’dish

5 0

3 years ago

Heights of young adult women in the United States are approximately Normal with a mean of 64 inches and standard deviation 2.7 i

sweet-ann [11.9K]

Answer:

The proportion of all young adult women in the United States are taller than 6 feet(72 inches ) is

$P( X > 72) =0.0015233$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 64 \ inches$

The standard deviation is $\sigma = 2.7 \ inches$

Generally 6 feet is equivalent to 6 * 12 = 72 inches

Generally the proportion of all young adult women in the United States are taller than 6 feet(72 inches ) is mathematically represented as

$P( X > 72) = P(\frac{X - \mu }{\sigma } > \frac{72 - 64 }{ 2.7 } )$

$\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )$

$P( X > 72) = P(Z > 2.963 )$

From the z-table

The area under the normal curve to the right corresponding to 2.963 is

$P(Z > 2.963 ) = 0.0015233$

=> $P( X > 72) =0.0015233$

3 0

3 years ago

How do you do these questions?

Lady bird [3.3K]

Answer:

(e) csc x − cot x − ln(1 + cos x) + C

Step-by-step explanation:

(e) ∫ (1 + sin x) / (1 + cos x) dx

Split the integral.

∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx

Multiply top and bottom of first integral by the conjugate, 1 − cos x.

∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx

Pythagorean identity.

∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx

Divide.

∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx

Integrate.

csc x − cot x − ln(1 + cos x) + C

= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx

The error function is odd (erf(-x) = -erf(x)), so:

= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx

= 0

7 0

3 years ago

At bike shop x it costs $2.75 per hour plus a $3.00 deposit to rent a bike. at bike shop z it costs $1.75 per hour plus a $7.00

dem82 [27]

Answer:

Multiply the rate per hour by the number of hours (n) and add the deposit.

Bike shop x: c = 2.75n + 3.00

Bike shop z: c = 1.75n + 7.00

B) to find when they will cost the same set the equations equal to each other and solve for n:

2.75n + 3.00 = 1.75n + 7.00

Subtract 3 from each side:

2.75n = 1.75n + 4.00

Subtract 1.75n from both sides:

1.00n = 4.00

Divide both sides by 1:

n = 4 hours

6 0

3 years ago

Read 2 more answers

Which of the expressions below can be factored using the difference of squares method?

zlopas [31]

Answer:

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

Step-by-step explanation:

The Difference of Squares Method for Factoring

The expression:

$a^2-b^2=(a-b)(a+b)$

Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.

The condition for a binomial to be factored by using this method is that both terms must have an exact square root and they must be subtracted.

The last two choices are not valid because they are not a subtraction but an addition.

The first choice is not valid because none of the terms is a perfect square.

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

4 0

3 years ago