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Zigmanuir [339]
3 years ago
9

A circle has a radius of 4. An arc in this circle has a central angle of 288°.

Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

Answer:

6.4π  units.

Step-by-step explanation:

Length of the arc = radius * the angle in radians

= 4 * 288 * π / 180

= 6.4π.

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Jenna has at most $100 to spend on clothes. She wants to buy a pair of jeans for $29 and spend the rest on shirts. Each shirt co
maw [93]

Answer:

5 shirts (read explanation)

Step-by-step explanation:

14x+29=100

14x=71

x=5.1

She can buy 5 shirts

8 0
3 years ago
True or false: (a) If A2 is defined then A is necessarily square. (b) If AB and BA are defined then A and Bare square. (c) If AB
andrew-mc [135]

(a) True. Suppose A is a not a square matrix, with m rows and n columns. Then A² is not defined, because you can't multiply an m×n matrix by another m×n matrix.

(b) False. As an example, consider the matrices

A_{3\times2} = \begin{bmatrix}1&0\\0&1\\0&0\end{bmatrix}

B_{2\times3} = \begin{bmatrix}-1&0&1\\0&0&1\end{bmatrix}

Then both AB and BA are defined, with

AB_{3\times3} = \begin{bmatrix}-1&0&1\\0&0&1\\0&0&0\end{bmatrix}

BA_{2\times2} = \begin{bmatrix}-1&0\\0&0\end{bmatrix}

In general, you can multiply any m×n by any n×m matrix.

(c) True. Multiplying a m×n matrix by a n×m matrix always yields a m×m matrix, and multiplying a n×m matrix by a m×n matrix always yields a n×n matrix.

4 0
2 years ago
Determine if the following lengths make an acute, right or obtuse
Rzqust [24]

Answer:

acute

Step-by-step explanation:

cause

4 0
3 years ago
A first number plus twice a second number is 14. twice the first number plus the second totals 31. find the numbers.
topjm [15]
------------------------------------------------------------
Define the two numbers
-----------------------------------------------------------
Let the first number be x.
Let the second number be y.

------------------------------------------------------------
Form equations and solve x and y
------------------------------------------------------------
x + 2y = 14 ------------------ (1)
2x + y = 31 ------------------ (2)

------------------------------------------------------------
Equation (1) x 2
------------------------------------------------------------
2x + 4y = 28  ---------------(1a)

------------------------------------------------------------
Equation (1a) - 2
------------------------------------------------------------
3y = 28 - 31
3y = -3
y = -1

------------------------------------------------------------
Substitute y = -1 into (1)
------------------------------------------------------------
x + 2(-1) = 14
x -2 = 14
x = 14 + 2
x = 16

------------------------------------------------------------
Answer: x =16, y = -1
------------------------------------------------------------

4 0
3 years ago
There is a 12.875 meter fence on one side of a rectangular garden. The gardener has 46.625 meters of fencing to enclose the othe
Harlamova29_29 [7]
10.4375

12.875×2=25.75    46.625-25.75=20.875   20.875÷2=10.4375
3 0
3 years ago
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