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Tresset [83]
3 years ago
7

Could someone please tell me the answer

Mathematics
1 answer:
Anna007 [38]3 years ago
4 0

Answer: 12.0

Step-by-step explanation: We need to find the length of one of the leg piece, so this is how we will set up our equation (x is the missing side length):

1. x^{2} + 5^{2} = 13^{2} (Simplify the square roots)

2. x^{2} +25 = 169 (Subtract 25 from 169)

3. x^{2} = 144 (Take the square root of both sides)

4. x = 12 or 12.0.

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Please help........................
ivanzaharov [21]

The volume of a sphere is 4/3 * pi * r³ so substitute the values in

4/3 * pi * 2³

4/3 * pi * 8

32/3 * pi

The volume is either 32/3pi units³ or 33.49 units³ (they're the same value)

I hope this helps!

6 0
3 years ago
Determine the relationships between the following lines: *
Dennis_Churaev [7]

9514 1404 393

Answer:

  the lines are perpendicular

Step-by-step explanation:

You can tell something by looking at the differences of coordinates:

  B-A = (6-2, -11-5) = (4, -16) . . . . . Δy/Δx = -16/4 = -4

  D-C = (-1-3, 9-10) = (-4, -1) . . . . .  Δy/Δx = -1/-4 = 1/4

The product of the slopes of these lines is (-4)(1/4) = -1, so ...

  the lines are perpendicular

4 0
3 years ago
The vertices of a rectangle in the standard (x,y) coordinate plane are (0,0), (0,4), (7,0), and (7,4). If a line through (2,2) p
Hatshy [7]

Answer:

slope =0

Step-by-step explanation:

Given that the vertices of a rectangle in the standard (x,y) coordinate plane are (0,0), (0,4), (7,0), and (7,4).

The rectangle has length = 7 and width =4

We know rectangle has two lines of symmetry which are i) vertical line through mid point ii) Horizontal line through mid point

Since the line passes through (2,2) we have the line as middle line.

Hence the required line isy =2

Slope of the line =0

3 0
3 years ago
11. Higher Order Thinking Using what you know
Lynna [10]

Answer:

m∠1 + m∠3 = m∠2 + m∠4

Step-by-step explanation:

In the figure attached,

In the given trapezoid if two sides AB and CD are parallel and AD is a transverse,

m∠1 + m∠3 = 180°

Similarly, if AB and CD are parallel and BC is a transverse,

m∠2 + m∠4 = 180°

Therefore, m∠1 + m∠3 = m∠2 + m∠4 is the relation between these angles.

6 0
3 years ago
cho tứ giác ABCD. Gọi M,N,P,Q là trung điểm của các cạnh AB, CD, AD, BC. Chứng minh rằng vecto MP = vecto QN, vecto MQ = vecto P
Dmitriy789 [7]

Answer:

Step-by-step explanation:

Xét tam giác DAB có: P là trung điểm AD, M là trung điểm AB

=> MP là đường trung bình của tam giác DAB => MP//BD và MP=\frac{1}{2}BD  (1)

Xét tam giác DBC có: N là trung điểm DC, Q là trung điểm BC

=> QN là đường trung bình của tam giác DBC => QN//BD và QN=\frac{1}{2}BD  (2)

Từ (1) và (2) => vecto MP song song cùng chiều với vecto QN

và độ dài MP = độ dài QN = \frac{1}{2}BD

=> vecto MP = vecto QN

Tương tự xét các tam giác DAC và tam giác ABC => vecto MQ = vecto PN

4 0
3 years ago
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