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snow_tiger [21]
2 years ago
12

Simplify as far as possible without a calculator.√2(4√7+3√2)

Mathematics
1 answer:
kvv77 [185]2 years ago
7 0

\sqrt{2} (4 \sqrt{7}  +  3\sqrt{2} )

\sqrt{2} (4 \sqrt{7} ) +  \sqrt{2} (3 \sqrt{2} )

4 \sqrt{14}  + 3(2)

4 \sqrt{14}  + 6

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A car bus travels at a speed of 45 km/h. How far will it travel in 36 minutes?​
tensa zangetsu [6.8K]

Correct Question:

A car/bus travels at a speed of 45 km/h. How far will it travel in 36 minutes?

(Note- Corrected part is written in bold.)

Solution:

\sf Speed = 45 \: km/h

\sf Time=36 \: mins

\sf   = \frac{36}{60} \:  hour \: (Since  \: we  \: know,1 \: hour \:  = 30 \: mins

\sf =  \frac{3}{5}  \: hour

\sf \: Distance = Speed \times Time

\sf =  \: 45 \times \frac{3}{5}  \: km

\sf   = \frac{45 \times 3}{5}  \: km

\sf \: Distance=27 \: km

  • Hence, a car/bus travels 27 km in 36 mins.
6 0
3 years ago
Read 2 more answers
The nth term of a sequence is 2n-1.
Zinaida [17]

Answer:

25,31,37

Step-by-step explanation:

n should be positive integer number. The three numbers in both sequences have different term number n but same value. We can equalize each nth term in the question to "a" which represents one of the three numbers.

a=2n-1, then n=(a+1)/2

a=3n+1, then n=(a-1)/3

remember the two n above are different but both should be positive integer. That means, we have to find the "a" number that gives me an integer n for the first equation. The possible numbers between 20 to 40 are 22,25,28,31,34,37,40.

The possible numbers for the second equation are 21,23,25,27,29,31,33,35,37,39.

Now find the common numbers between the two sets above. They are 25,31,37

6 0
3 years ago
A giant tortoise can walk about 1/10 meter per second on land. A cooter turtle can walk about 1/2 meter per second on land. How
galina1969 [7]
The rate of giant tortoise is 1/10 meters per each second.
The rate of cooter turtle is 1/2 meters per each second.

How long would it take a giant <span>tortoise to travel 5 meters?
1 second : 1/10 m = X : 5 m
1/10x = 5
x = 50 seconds

How much longer would it take a giant tortoise than a cooter turtle to travel 10 meters on land?
1 second : 1/2 m = X : 10 m
1/2x = 10
x = 20 seconds

So the giant turtle can travel 5 meters in 50 seconds.
</span><span>So the cooter turtle can travel 10 meters in 20 seconds.</span>
6 0
3 years ago
1. Add the following integers
I am Lyosha [343]
A) -18
B) 129
C) 40
D) -9
E) -8
7 0
3 years ago
A recipe calls for 2 tsp of butter. Melinda wants to make 40% more servings than the recipe makes.
olga_2 [115]
Given:
recipe: 2 tsp of butter
Melinda wants to make 40% more servings than the recipe.

2 tsp is equal to 100%
additional of 40% makes it 100% + 40% = 140%

140% * 2 tsp = 2.8 tsp.

The expression that shows the number of teaspoons needed is:
D. 1.4 x 2
3 0
3 years ago
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