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Maksim231197 [3]
2 years ago
14

A lawn sprinkler sprays water 4 feet in all direction as it rotates.

Mathematics
1 answer:
Ber [7]2 years ago
5 0

Answer:

50.24 ft^2

Step-by-step explanation:

The radius of the circle in which the lawn sprinkler sprays water is 4 feet.

The formula to find the area of a circle is \pi r^2, where r = radius and π, in this case, is 3.14.

  • 3.14 × 4^2
  • 3.14 × 16
  • 50.24 ft^2

Therefore, the answer is 50.24 ft².

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Evaluate the expression 3+ [5(2-3) - 6] ​
iragen [17]

Answer:

<em><u>Answer is below</u></em>

Step-by-step explanation:

<u><em>3+5(2−3)−6</em></u>

<u><em>=3+(5)(−1)−6</em></u>

<u><em>=3+−5−6</em></u>

<u><em>=3+−11</em></u>

<u><em>=−8</em></u>

<u><em>So therefore, your answer would be -8</em></u>

8 0
3 years ago
Read 2 more answers
The owner of The Pizza Palace has a deal offering 1 free order of breadsticks with 3 pizzas. If 24 total pizzas were sold with t
Sedbober [7]

Answer:

8

Step-by-step explanation:

for every 3 pizzas 1 free order is served

in 24 pizzas there is 8 (3 pizzas) so 8 free order

4 0
3 years ago
Please answer it correctly and please show work please help me I need it
tamaranim1 [39]

Answer:

the equation is

y = 0.75x

And,  the constant of proportionality is 0.75

Step-by-step explanation:

The computation is shown below:

Given that

4y = 3x

And,

12y = 9x

Here the equation that represent proportional relationship is

4y = 3x

Divide both sides by 4

y = 3x ÷ 4

Now

12y = 9x

divides both sides by 12

y = 9 ÷ 12x

y = 3 ÷ 4x

y = 0.75x

so the equation is

y = 0.75x

And,  the constant of proportionality is 0.75

4 0
3 years ago
The sum of squares of two consecutive positive even integers is 52 more than their product. Find these numbers.
natulia [17]

Answer:

The first set of consecutive even integers equals (8 , 6)

The second set is ( - 8 and - 6) which also works.

Step-by-step explanation:

Equation

(x)^2 + (x + 2)^2 = (x)(x + 2) + 52            Remove the brackets on both sides

Solution

x^2 + x^2 + 4x + 4 = x^2 + 2x + 52        Collect the like terms on the left

2x^2+ 4x+ 4 = x^2 + 2x + 52                  Subtract right side from left

2x^2 - x^2 + 4x - 2x + 4 - 52  =  0          Collect the like terms

x^2 + 2x - 48 = 0                                     Factor

(x + 8)(x - 6) = 0

Answer

Try the one you know works.

x - 6 = 0

x = 6

Therefore the two integers are 6 and 8

6^2 + 8^2 = 100

6*8 + 52  = 100

So 6 and 8 is one set of  consecutive even numbers that works.    

========================

What about the other set.

x + 8 = 0

x = - 8

x and x + 2

- 8  and -8 + 2 = - 8, - 6

(- 8 )^2 + (- 6)^2 = 100

(-8)(-6) + 52 = 100

Both sets of consecutive numbers work.


5 0
3 years ago
Read 2 more answers
if the angle HMA is a right angle, the measure of angle SMH = 66 degrees, and angle SMH is complementary to angle HME, find the
makvit [3.9K]

Answer:

SMA= 24 degrees

Step-by-step explanation:

add the other given angles together: 66 + 90= 156

subtract 158 from 180 (every triangle has a total of 180 degrees): 180-156 = 24

3 0
3 years ago
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