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statuscvo [17]
2 years ago
12

Find the missing length indicated.

Mathematics
1 answer:
lyudmila [28]2 years ago
3 0

Answer: 60

Step-by-step explanation:

If the entire blue length is 100 and one of the parts of that is 64, the other part is 36.

So by the geometric mean theorem, letting the length of the dotted altitude be y,

\frac{64}{y}=\frac{y}{36}\\y^{2}=64 * 36 =2304\\y=48

So if y=48, by the Pythagoreanx=\sqrt{48^2 + 36^2}=60 theorem,

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A sledgehammer weighs 18 pounds on Earth and 4 pounds on the planet Namar. 
Advocard [28]
It would weight 18lbs i believe

8 0
2 years ago
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At a football stadium, 10% of the fans in attendance were teenagers. If there were 30 teenagers at the football stadium, what wa
JulijaS [17]

Answer:

i believe the answer to this is a total of 300 people because you multiply the ten percent into the 30 people which factors out some numerical values, so then your answer as i just said is 300 people in total attended the game.

Step-by-step explanation:

8 0
2 years ago
Oranges sell for $5.00 per bag. If there are 10 oranges in each bag, how much is the price per orange?
yulyashka [42]

Answer:

The answer is A

Step-by-step explanation:

10 divided by 5

8 0
3 years ago
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An equilateral triangle has a side length of 6. What is the height of the triangle?
vlabodo [156]
Since the height of an equilateral triangle in terms of its side s is s√3/2, the height of the triangle is 6√3/2 = 3√3 and so the area is (1/2)(6)(3√3) = 9√3. 

<span>If we draw a horizontal line a height of h from the base of the triangle, the region is split into two regions: the lower region consisting of a trapezoid of height h and the upper region consisting of a triangle of height 3√3 - h. </span>

<span>Since the upper triangle and the triangle itself are similar triangles, the base and height are proportional. If we let x denote the base of the length of the upper triangle, we have: </span>

<span>(S. of small triangle)/(S. of big triangle) = (Ht. of small triangle)/(Ht. of big triangle) </span>
<span>==> x/6 = (3√3 - h)/(3√3) </span>
<span>==> x = (6√3 - 2h)/√3 </span>

<span>Thus, the area of the upper triangle is: </span>

<span>A = (1/2)[(6√3 - 2h)/√3](3√3 - h) = [(6√3 - 2h)(3√3 - h)]/(2√3). </span>
<span>(Made a dumb mistake about the height here for some reason) </span>

<span>Since we require that the area of this triangle is to be half of the total area (9√3/2), we need to solve: </span>

<span>[(6√3 - 2h)(3√3 - h)]/(2√3) = 9√3/2 </span>
<span>==> (6√3 - 2h)(3√3 - h) = 27 </span>
<span>==> 54 - 6h√3 - 6h√3 + 2h^2 = 27 </span>
<span>==> 2h^2 - 12h√3 + 27 = 0. </span>

<span>Solving with the Quadratic Formula gives: </span>

<span>h = (6√3 + 3√6)/2 ≈ 8.87 units and h = (6√3 - 3√6)/2 ≈ 1.52 units. </span>

<span>Since h = (6√3 + 3√6)/2 would place the line outside of the triangle, we pick h = (6√3 - 3√6)/2. </span>

<span>Therefore, the line should be ==> (6√3 - 3√6)/2 units from the base. </span>

<span>I hope this helps! ^^ Brainliest Please?</span><span>
</span>
5 0
3 years ago
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A national survey of middle school students asks how many hours of sleep they get on school nights. Which sample ​best​ represen
mariarad [96]

Answer:

D

Step-by-step explanation:

It wouldnt be a single grade being surveyed so we would choose d in additon a and b isnt national since it says 'in a certain town' and 'in a certain county'.

Which leaves you with D.

5 0
2 years ago
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