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olga nikolaevna [1]
3 years ago
15

A zoo needs 42 pounds of fruit to feed the monkeys each day. How many pounds of fruit will need to be bought if the zoo is buyin

g food for a year, which is a leap year?
Mathematics
1 answer:
kotykmax [81]3 years ago
3 0
366x42= 15,372 pounds
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A rectangular pool is 6 meters wide and 8 meters long. If you swim diagonally across the pool, how many meters would you be swim
Vitek1552 [10]

If you swim diagonally across the rectangular pool, the distance you swim is 10 meters.

<u>Given the following data:</u>

  • Width of rectangle = 6 meters
  • Length of rectangle = 8 meters

To determine the distance you swim in meters, we would apply Pythagorean's theorem since the width is along the x-axis while the length is along the y-axis.

Note: The diagonal side of the rectangular pool represents the hypotenuse.

Mathematically, Pythagorean's theorem is given by the formula:

Hypotenuse^2 = Opposite^2 + Adjacent^2

Substituting the given parameters into the formula, we have;

Hypotenuse^2 = 6^2 + 8^2\\\\Hypotenuse^2 = 36+64\\\\Hypotenuse^2 = 100\\\\Hypotenuse = \sqrt{100}

Hypotenuse = 10 meters.

Read more here: brainly.com/question/18890335

4 0
2 years ago
Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the
AysviL [449]

Answer:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

Step-by-step explanation:

The given polynomial equation is

2 {x}^{3}  +  {x}^{2}  - 8x - 4 = 0

We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

2 {x}^{2}  + 5x + 2

This means the polynomial equation becomes:

(x - 2)(2 {x}^{2}  + 5x + 2) = 0

We factor the quadratic term by splitting the middle term;

(x - 2)(2 {x}^{2}  + 4x +x +  2) = 0

(x - 2)(2 x(x+ 2) +1(x +  2) )= 0

Collect common factors again:

(x - 2)((x+ 2)(2x +  1) = 0

The solution is:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

8 0
3 years ago
What is the volume of the cylinder below?<br><br> Use 3.14 for pi.
neonofarm [45]

Answer:

about =502.65

Step-by-step explanation:

8 0
2 years ago
You ask your best friend to lend you 200 to buy your favourite toy. She says she can lend you the money
faltersainse [42]

Answer: A) 248 dollars

B) 2 dollars every month

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
T/2 + 3 = 5 (solve for t)
Mashutka [201]

Answer:

t = 4

Step-by-step explanation:

Given

\frac{t}{2} + 3 = 5 ( subtract 3 from both sides )

\frac{t}{2} = 2

Multiply both sides by 2 to clear the fraction

t = 2 × 2 = 4

7 0
3 years ago
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