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Alenkinab [10]
3 years ago
12

What is the area of square EFGH?

Mathematics
1 answer:
rodikova [14]3 years ago
8 0
The area of the square EFGH is 98.8 in^2
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What value makes x - 7 = -6 equation true?
Bumek [7]

Answer:

x=1

Step-by-step explanation:

In order to solve this equation, we must add 7 to each side. This gives us x=1

x-7=-6\\\\x=1

4 0
3 years ago
A small resort is situated on an island that lies exactly 3 miles from P, the nearest point to the island along a perfectly stra
Artemon [7]

Answer:

The distance from the  shoreline from P the pipe from the island will reach land in order to minimize the total construction cost is 0 m, or the pipe should be routed to the point P

Step-by-step explanation:

We note that, cost to lay pipe in water = 2.3 × cost to lay pipe on land

Distance of the small resort on the island from point p on the shoreline = 3 miles

Location of the closest source of fresh water is 10 miles along the shoreline from p

∴ The small resort, the point p and the closest source of the fresh water on the shoreline together form a right triangle with sides

Height = 3 miles

Base = 10 miles and

Hypotenuse = \sqrt{3^2 + 10 ^2} = \sqrt{109} =  10.44 \, m

To find the cost of laying the pipeline by the various route, we multiply the water routes by 2.3 and the land routes by 1 and we get

Costs:

Height =  Water route = 2.3 × 3 miles = 6.9

Base = Land route = 1 × 10 miles = 10

Hypotenuse = Water route = 2.3 × 10.44 miles = 24.012

Therefore, the two routes are either

10 miles to point p and 3 miles across the water to the resort with a cost = 10 + 6.9 = 16.9 or

Directly to the small resort through 10.44 miles across the water with cost = 24.012

Therefore, to minimize cost, the pipe should come from the resort to P from there to the fresh water source.

That is the distance from the  shoreline from P the pipe from the island will reach land in order to minimize the total construction cost = 0 m.

7 0
3 years ago
I need help asap!!!!
kolbaska11 [484]

Answer:

24: x = 31

25: x = 15

Step-by-step explanation:

Remark

24 is supplementary which means that the two angles add to 180o which is on the right hand side of the equation

25 is complementary which means that the two angles add to 90o which is on the left hand side of the equation

Twenty Four

3x + 31 +2x - 6 =  180              Collect the like terms

3x +2x + 31 - 6 = 180               Do the adding and subtracting.

5x + 25 = 180                          Subtract 25 from both sides

5x + 25 - 25 = 180 - 25

5x = 155                                   Divide by 5

x = 155/5

x = 31

Check

3x + 31 = 3*31 + 31

3x + 31 = 93 + 31

3x + 31 = 124

2x - 6 = 2*31 - 6 = 62 - 6 = 56

Total 124 + 56 = 180 as it should.

Twenty Five

Equation

3x+ 4x -  15 = 90

Solution

7x - 15 = 90        Like terms have been collected on the left.

7x = 90 + 15       15 was added to both sides

7x = 105              Divide by 7      

x = 15                       I'll leave the check to you


5 0
3 years ago
A parallelogram has an area of x^2 + 9x - 36.
posledela

Answer:

The least value is 1

Step-by-step explanation:

Area of a Parellelogram = Base x Height

6 0
3 years ago
suppose you wanted to use a diagram to convert ounces to grams.Which unit would the parts in your diagram represent?
otez555 [7]


ounces please rate brainliest answer & 5 stars

4 0
3 years ago
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