All categories

2 years ago

What is the square root of 85 and divide that by PI (3.14)

Mathematics

1 answer:

stira [4]2 years ago

4 0

√85 = 9.219544457

9.219544457 / π = 2.93467214

Round the answer as needed.

You might be interested in

TV−→− bisects ∠RTS. If the m∠RTV=(16x−6)° and m∠VTS=(13x+9)° , what is the value of x and the m∠RTV ?

natta225 [31]

Answer:

$x = 5$

$RTV = 74$

Step-by-step explanation:

Given

$RTV=16x - 6$

$VTS=13x+9$

Required

Determine the values of x and RTV

Since, TV is a bisector, then

$RTS = RTV + VTS$ --- (1)

and

$RTV = VTS$ -- (2)

Substitute values of RTV and VTS in (2)

$16x - 6 = 13x + 9$

Collect Like Terms

$16x - 13x = 9 + 6$

$3x = 15$

Solve for x

$x = 5$

Substitute 5 for x in $RTV=16x - 6$

$RTV = 16 * 5 - 6$

$RTV = 80 - 6$

$RTV = 74$

8 0

2 years ago

You drive from your home to a vacation resort 420 miles away. You return on the same highway. The average velocity on the return

attashe74 [19]

<h2>Time required to complete the round trip $T=\frac{420}{x}+\frac{420}{(x-15)}$ where x is average velocity on the outgoing trip.</h2>

Step-by-step explanation:

Let average velocity of outgoing trip = x mph

The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip.

Average velocity of return trip = (x-15) mph

Distance to vacation place = 420 miles

Distance to vacation place = Time for outgoing trip x average velocity of outgoing trip

$420=t_1\times x\\\\t_1=\frac{420}{x}$

Distance to vacation place = Time for return trip x average velocity of return trip

$420=t_2\times (x-15)\\\\t_2=\frac{420}{(x-15)}$

We have total time T = t₁ + t₂

That is

$T=\frac{420}{x}+\frac{420}{(x-15)}$

Time required to complete the round trip $T=\frac{420}{x}+\frac{420}{(x-15)}$ where x is average velocity on the outgoing trip.

8 0

2 years ago

5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips a

SOVA2 [1]

Answer:

a) Binomial.

b) n=20, p=0.01, k≥2

The probability hat a package sold will be refunded is P=0.0169.

Step-by-step explanation:

a) We know that

the defective probability is constant and independent.
the sample size is bigger than one subject.

The most appropiate distribution to represent this random variable is the binomial.

b) The parameters are:

Sample size (amount of clips in the package): n=20
Probability of defective clips: p=0.01.
number of defective clips that trigger the money-back guarantee: k≥2

The probability of the package being refunded can be calculated as:

$P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169$

6 0

3 years ago

4 teammates share 5 granola bars equally.Draw to show how much each person gets.

Pavel [41]

4 teammates and 5 bars.

5/4 = 1.25

1.25 = 1 and 1/4

Answer: Each person gets 1 and 1/4 of a bar

6 0

3 years ago

Which expression has the same value as -5, + (-4)?

marissa [1.9K]

First row, the answer on the left , -5 3/4 - 4 2/3

3 0

2 years ago

What is the square root of 85 and divide that by PI (3.14)​

What is the square root of 85 and divide that by PI (3.14)