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Dahasolnce [82]
3 years ago
9

The diagram below shows some measurements taken from a new bridge. How long is the bridge?

Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

Answer:

1,737.3 feet

Step-by-step explanation:

Let's assume the length of the bridge consists of 2 right triangles as shown in the diagram. Use pythagorean theorem to find the other missing leg of each right triangle.

Let the missing leg for each triangle be x and y respectively.

Length of bridge = x + y

✔️x = √(1115² - 860²) = √503,625

x ≈ 709.7 (nearest tenth)

✔️y = √(1340² - 860²)

y ≈ 1,027.6 (nearest tenth)

✔️ Length of bridge = 709.7 + 1,027.6 = 1,737.3 ft

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Paraphin [41]

Answer:

So you take the 172 miles and you divide it by the 3cm that you have and that gives you 57.3 miles.  And therefore 1cm would be equal to 57.3

Step-by-step explanation:

7 0
3 years ago
Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a
kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be representedh(t)=-16t^2+20t.

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?  

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}

\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}

\text{Average rate of change}=\frac{6}{\frac{1}{2}}

\text{Average rate of change}=\frac{2\cdot 6}{1}

\text{Average rate of change}=12

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0
3 years ago
Is triangle prq equal to triangle Xyz ? If so, name which similarity postulatebor theorem applies.
Salsk061 [2.6K]

Answer:

I'm not sure for my answer 'cuz I just learned this but i think its A because even though the size changes, the corresponding angle measure are the same and the corresponding sides are proportional.

(Tell me if I'm wrong.)

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3 years ago
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225, don’t be mad at me if I’m wrong, but my apologies if I am
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3 years ago
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Elena-2011 [213]
Y=4^4-100=16-100=-84
Result is -84
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