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nydimaria [60]
3 years ago
8

A 15 foot tall tree casts a shadow that is 8 feet long. What is the distance from the top of

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0

Answer:

17 feet

Step-by-step explanation:

15^2 + 8^2 = 17^2

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A rectangluar swimming pool 25 feet long, 15 feet wide, and 7 feet deep is filled with water to a depth of 6 feet. The weight de
marissa [1.9K]

9514 1404 393

Answer:

  491,400 ft·lb

Step-by-step explanation:

The mass of the water is ...

  M = Vρ = LWHρ = (25 ft)(15 ft)(7 ft)(62.4 lb/ft³) = 163,800 lb

The average depth is 3 ft, so the work required is equivalent to that required to raise this mass 3 ft.

  W = (3 ft)(163,800 lb) = 491,400 ft·lb

6 0
3 years ago
Leslie earned $12 Friday, $20 Saturday, and $56 Sunday selling bracelets. If she sold each bracelet for the same amount of money
Amanda [17]

Answer:

$4

Step-by-step explanation:

12÷4=3

20÷4=5

56÷4=14

7 0
3 years ago
If the center thickness of a lens variés more than 0.150 millimeter from the target thickness of 5.000 millimeters, the lens can
Mice21 [21]

Answer:

All real numbers greater than or equal to 4,999.85 millimeters and less than or equal to 5,000.15 millimeters

Step-by-step explanation:

Let

x -----> values for the center thickness of the lens

we know that

The absolute value that represent this problem is

\left|x-5,000\right|\le 0.150

Solve the absolute value

First case (positive)

+(x-5,000)\le 0.150

Adds 5,000 both sides

x\le 0.150+5,000

x\le 5,000.15\ mm

Second case (negative)

-(x-5,000)\le 0.150

Multiply by -1 both sides

(x-5,000)\ge -0.150

Adds 5,000 both sides

x\ge -0.150+5,000

x\ge 4,999.85\ mm

therefore

The extreme acceptable values for the center thickness of the lens is the interval [4,999.85,5,000.15]

All real numbers greater than or equal to 4,999.85 millimeters and less than or equal to 5,000.15 millimeters

8 0
3 years ago
Which value of x will make the triangles similar by the SSS similarity theorem
masha68 [24]

Answer:

x = 30.

Step-by-step explanation:

For the triangles to be similar corresponding sides must be in the same ratio.

So 50/ 75 = x / 45

75x = 50*45

x = 50* 45/75

= 2 * 45 / 3

= 30.   (answer).


4 0
4 years ago
Part 2: Use the information provided to write the standard form equation of each circle
Archy [21]

Answer:

The answer to your question is below

Step-by-step explanation:

- The Standard form of the equation is

                  (x - h)² + (y - k)² = r²

4.

Center (8, -4)    r = \sqrt{118}

-Substitution

                 (x - 8)² + (y + 4)² =\sqrt{118}²                

-Result

                 (x - 8)² + (y + 4)² = 118

5.

Center (-10, 9)     r = \sqrt{37}

-Substitution

                  (x + 10)² + (y - 9)² = \sqrt{37}²                

-Result

                  (x + 10)² + (y - 9)² = 37

6.-

Center (-8, 0)       r = 6

-Substitution

                  (x + 8)² + (y - 0)² = (6)²

-Result

                  (x + 8)² + (y - 0)² = 36

3 0
4 years ago
Read 2 more answers
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