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sukhopar [10]
3 years ago
5

A triangular patch of grass in a park is bordered by walking paths. The longest path bordering the patch of grass measures 90 fe

et. The smallest path bordering the patch of grass measures 53 feet. The smallest angle formed by the paths bordering the patch of grass measures36°. What is the measure of the largest angle of the triangular patch of grass? Round your answer to the nearest tenth of a degree. Show your work.
Mathematics
1 answer:
Musya8 [376]3 years ago
8 0

Answer:

Step-by-step explanation:

I think that 4733

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The following area model represents what number sentence?
vovikov84 [41]
That area model represents 100+20+7=127
7 0
4 years ago
Solve for the sqrt(x-2)+8=x
kirza4 [7]
<h3>Answer:  x = 11</h3>

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

Work Shown:

\sqrt{x-2}+8=x\\\sqrt{x-2}=x-8\\\left(\sqrt{x-2}\right)^2=(x-8)^2 \text{ square both sides}\\x-2=x^2-16x+64\\0=x^2-16x+64-x+2\\0=x^2-17x+66\\x^2-17x+66 = 0\\(x-11)(x-6) = 0\\x-11 = 0 \text{ or } x-6 = 0\\x = 11 \text{ or } x = 6\\

Those are the two possible solutions . We need to check each possible solution.

Plug in x = 11 then simplify. If we get the same number on both sides, then x = 11 is confirmed.

\sqrt{x-2}+8=x\\\sqrt{11-2}+8=11\\\sqrt{9}+8=11\\3+8=11\\11=11\\

We get 11 on both sides, so the solution x = 11 is confirmed.

Repeat for x = 6 as well

\sqrt{x-2}+8=x\\\sqrt{6-2}+8=6\\\sqrt{4}+8=6\\2+8=6\\10=6\\

We do not get the same thing on both sides, so x = 6 is not a solution. We consider this extraneous.

4 0
3 years ago
What are the weights (in Newton’s) for the given masses 22.1,33.5,41.3,59.2,78
Blababa [14]

Answer:

1. 216.8 N

2.328.635 N

3. 405.153 N

4. 580.752 N

5. 765.18 N

Step-by-step explanation:

1. Let the mass is 22.1 kg, then the weight in Newton will be (22.1 × 9.81) = 216.8 N {Where acceleration due to gravity is 9.81 m/sec²}

2. Let the mass is 33.5 kg, then the weight in Newton will be (33.5 × 9.81) = 328.635 N {Where acceleration due to gravity is 9.81 m/sec²}

3. Let the mass is 41.3 kg, then the weight in Newton will be (41.3 × 9.81) = 405.153 N {Where acceleration due to gravity is 9.81 m/sec²}

4. Let the mass is 59.2 kg, then the weight in Newton will be (59.2 × 9.81) = 580.752 N {Where acceleration due to gravity is 9.81 m/sec²}

5. Let the mass is 78 kg, then the weight in Newton will be (78 × 9.81) = 765.18 N {Where acceleration due to gravity is 9.81 m/sec²}

(Answer)

4 0
3 years ago
Please help!! would appreciate it
umka21 [38]

Answer:

x=24, y=15

Step-by-step explanation:

(3x-29)+(8y+17)=180

(8y+17)=(6x-7)

3 0
4 years ago
PLEASE HELP FAST!!!!<br> factor completely: 5x^3+40x^2-2x-16
Deffense [45]

Answer:

(x+8)(5x2−2)

Step-by-step explanation:

Hope this helps have a nice day :)

3 0
3 years ago
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