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I am Lyosha [343]
3 years ago
12

this is a blueprint drawing of the stage area at Millennium Park the length of one square on the grid is equal to 5 feet accordi

ng to the blueprint the length of the diagonal of square C is 60ft is that correct explain​ Thanks

Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

Answer:

No, diagonal of square C is 70.71ft

Step-by-step explanation:

Given in the question that length of one square = 5 ft

Length of Square C = 10 small squares

1 square = 5 ft

10 square = 5ft * 10

                = 50 ft

As we know that in a square all side are of equal length and make an angle of 90° at each corner.

So, by using pythagorus theorem

Diagonal of square² = side² + side²

Diagonal of square² = 2side²

Diagonal of square = √(2side²)

Diagonal of square = √2 (side)

where side = 50 ft

Diagonal of square = √2 (50)

Diagonal of square = 70.71 ft

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Suppose you are climbing a hill whose shape is given by the equation z = 1400 − 0.005x2 − 0.01y2, where x, y, and z are measured
Anarel [89]
Answer: You start to ascend

Explanation:

Since you are walking due south and the positive y-axis points north, the y-coordinate decreases.

Let 

y' = y-coordinate after walking due south
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So, the point where you stand after walking due south has a coordinate of (100, y', z'). Moreover,

z' = 1,400 - 0.05(100)^2 - 0.01(y')^2
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Since the y-coordinate decreases after walking due south and z' = 1350 - 0.01(y')^2,

y'  \leq 120\\ \Rightarrow (y')^2 \leq 120^2 = 14,400\\ \Rightarrow -0.01(y')^2 \geq -0.01(14,400) = -144\\ \Rightarrow z' = 1,350 - 0.01(y')^2 \geq 1,350 - 0.01(14,400) = 1,206\\ \Rightarrow \boxed{z' \geq 1,206}

So, the height after walking due south exceeds 1,206 meters, which is the previous height before walking due south. Therefore, if you walk due south from point with coordinates (100, 120, 1206), you are ascending.
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Step-by-step explanation:

7 0
3 years ago
I need help somebody please​
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Answer 24a + 6

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4 0
2 years ago
Se arrastra un bloque de 18 kg a través de una superficie con una fuerza de 300 N en donde el coeficiente de fricción de dicha s
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Answer:

10.9\ \text{m/s}^2

Step-by-step explanation:

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El equilibrio de fuerzas del sistema viene dado por

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La aceleración del bloque es 10.9\ \text{m/s}^2.

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