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babunello [35]
2 years ago
13

What is the product of 116⋅345?

Mathematics
1 answer:
Bogdan [553]2 years ago
4 0

the product in mixed form is:

(1 + 1/6)*(3 + 4/5) = 5 + 13/15

<h3>How to get the product between the two mixed numbers?</h3>

Here we want to solve the product:

(1 + 1/6)*(3 + 4/5)

If we distribute that product we get:

1*3 + 1*(4/5) + (1/6)*3 + (1/6)*(4/5)

Now we can solve these, we will get:

1*3 + 1*(4/5) + (1/6)*3 + (1/6)*(4/5)

3 + 4/5 + 3/6 + 4/30

3 + 4/5 + 1/2 + 2/15

3 + 1/2 + (4/5 + 2/15) = 3 + 1/2 + (12/15 + 2/15) = 3 + 1/2 + 14/15

3 + 1/2 + 14/15 = 3 + 15/30 + 28/30 = 3 + 43/15

3 + 43/15 = 3 + 30/15 + 13/15 = 3 + 2 + 13/15 = 5 + 13/15

Finally, we can see that the product in mixed form is:

(1 + 1/6)*(3 + 4/5) = 5 + 13/15

If you want to learn more about mixed numbers:

brainly.com/question/21610929

#SPJ1

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Answer:

the rate from the plane to the radar station increasing 3 minutes later is 19.81 km/min

Step-by-step explanation:

A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 45 degrees. At what rate is the distance from the plane to the radar station increasing 3 minutes later?

speed (Δs₁)= change in distance(Δd₁) /(Δt₁)change in time

mathematically,

\frac{Δd₁}{Δt₁} = Δs₁

= 14 km/min = \frac{Δd}{Δt}

and will are to find the speed after passes the radar

=Δs₂  km/min = \frac{Δd₂}{Δt₂}

to find d₁ and d₂ with respect to angle 45 degree at 4km

sin 45 = opp/hyp = 4/d₁

d₁ = 4/sin45 = 5.66km

tan 45 == opp/adj = 4/d₂

d₂ =4/tan45 =  4km

for three minute increment,

=3 x d₁ x Δs₁ = 3 x d₂ Δs₂

= 3x5.66x14 = 3x 4 xΔs₂

= 237.72 = 12Δs₂

=Δs₂ = 19.81km/min

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3 years ago
The library currently has 150 audio books. The library plans to purchase the same number of books each month. After 4 months, th
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Answer:

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Step-by-step explanation:

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In a study, the sample is chosen by pulling 50 names from a hat What is the sampling method? Simple Random Stratified Convenienc
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Step-by-step explanation:

  • A simple random sampling technique is a random sample technique in which a subset of the population is drawn by the researcher . They are chosen in such a way that all the individuals in the population has an equal chance to get chosen .

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Here the probability of each name to get selected is equal.

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2.) 5 - a = 4 - a

3.) 5 - a + a = 4 - a + a

4.) 5 = 4

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8 0
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