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Anna35 [415]
2 years ago
5

A solar powered water pumping system in Desert Range, Utah, has six solar panels, each containing 6 rows modules. Each row has 6

modules. How many modules are in each panel? Write the answer as a power. Then find the total number of modules in the system.
Mathematics
1 answer:
Reil [10]2 years ago
6 0
36 modules
6modulesx6modules=36midules
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2/5+3/8 5th grade Math. Please help.​
dimulka [17.4K]

Answer:

31/40

Step-by-step explanation:

Given expression:

\dfrac{2}{5} + \dfrac{3}{8}

Note: Both fractions must have same denominators if we want to perform addition, subtraction, multiplication, or division.

The only way to simplify this expression is to have a common denominator, which can be determined by the LCM of 5 and 8.

  • ⇒ Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45...
  • ⇒ Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72...

Multiply the denominators with such a number that is equivalent to 40.

Note: The number you are multiplying should also be multiplied to the numerator.

\rightarrow \dfrac{2 \times 8}{5 \times 8} + \dfrac{3 \times 5}{8 \times 5}

\rightarrow \dfrac{16}{40} + \dfrac{15}{40}

Finally, simplify the expression to determine the solution.

\rightarrow \dfrac{31}{40}

Since 31 is a prime number, we can't simplify this fraction. Thus, the final answer is 31/40.

3 0
2 years ago
Read 2 more answers
100pts: Find F(5) if F is a recursive function as defined below:
dolphi86 [110]

Answer:

F(0) = 0

F(1) = 3

F(2) = 2 x F(1) + F(0) = 2 x 3 + 0 = 6

F(3) = 3 x F(2) + F(1) = 3 x 6 + 3 = 21

F(4) = 4 x F(3) + F(2) = 4 x 21 + 6 =90

F(5) = 5 x F(4) + F(3) = 5 x 90 + 21 = 471

Hope this helps!

:)

8 0
2 years ago
Read 2 more answers
How can you solve quadratic equations in one variable?
ivolga24 [154]

you can use formular method or factorisation but formular method is easy and convinient

6 0
3 years ago
Use function notation to represent each statement:
Mashutka [201]

Answer:

f(1) = 257

Step-by-step explanation:

x-variable: 1 (time is the independent variable)

y-variable: 257 (number of visitors is the dependent variable)

When the time is at 1 (1pm), there are 257 visitors

5 0
2 years ago
Read 2 more answers
. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side
4vir4ik [10]

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}

\cos A=\dfrac{49+196-64}{196}

\cos A=\dfrac{181}{196}

Taking cos inverse on both sides.

A=\cos^{-1}\dfrac{181}{196}

A=22.561328

A\approx 22.6

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

7 0
2 years ago
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