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2 years ago

a right triangle has a hypotenuse of 58 cm, with legs that differ by 2 cm. find the length of each leg

Mathematics

1 answer:

nika2105 [10]2 years ago

7 0

Answer:

40 cm and 42 cm

Step-by-step explanation:

Two leg length: x and x+2

x² + (x+2)² = 58²

2x² + 4x + 4 = 3364

2x² + 4x - 3360 = 0

(x+42) (x-40) = 0

leg length is a positive number so x = 40

another leg = 42

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3 years ago

Which of these quadrilaterals have opposite sides that are parallel? Name these quadrilateral

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Answer:

square,rectangle,rhombus,paralellagram

Step-by-step explanation:

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1 year ago

You are reaching the price of MP3 players.Yiu found an average price of $58.80. One MP3 player cost $56 and another cost $62. Fi

tino4ka555 [31]

The price of third MP3 Player is $58.4

Further explanation:

Given

Price of first MP3 player= p1= $56

Price of second MP3 Player = p2= $62

Price of third MP3 Player=?

Average = X = $58.80

The formula for average is:

$X =\frac{Sum}{No.\ of\ items}$

We have 3 items.

Putting the values

$58.80=\frac{56+62+p_3}{3}\\58.80*3=118+p_3\\176.4=118+p_3\\p_3=176.4-118\\p_3=58.4\ dollars$

The price of third MP3 Player is $58.4

Keywords: Average, Sum

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2 years ago

For waht values of x do the vectors -1,0,-1), (2,1,2), (1,1, x) form a basis for R3?

DaniilM [7]

<h2>Answer:</h2>

The values of x for which the given vectors are basis for R³ is:

$x\neq 1$

<h2>Step-by-step explanation:</h2>

We know that for a set of vectors are linearly independent if the matrix formed by these set of vectors is non-singular i.e. the determinant of the matrix formed by these vectors is non-zero.

We are given three vectors as:

(-1,0,-1), (2,1,2), (1,1, x)

The matrix formed by these vectors is:

$\left[\begin{array}{ccc}-1&2&1\\0&1&1\\-1&2&x\end{array}\right]$

Now, the determinant of this matrix is:

$\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-1(x-2)-2(1)+1\\\\\\\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-x+2-2+1\\\\\\\begin{vmatrix}-1 &2 & 1\\ 0& 1 & 1\\ -1 & 2 & x\end{vmatrix}=-x+1$

Hence,

$-x+1\neq 0\\\\\\i.e.\\\\\\x\neq 1$

4 0

2 years ago

The table shows how many shirts four garment factories made and how long it took to make them. The relationship between the numb

german

If you would like to know the production rate of factory E, you can calculate this using the following steps:

Factory Number of days Number of shirts
A 2 600
B 3 900
C 4 1200
D 5 1500

Factory E can make shirts at the same rate as the first four factories:
600 shirts / 2 days = 300 shirts per day
900 shirts / 3 days = 300 shirts per day
1200 shirts / 4 days = 300 shirts per day
1500 shirts / 5 days = 300 shirts per day

Factory E will make 1800 shirts in 6 days, therefore 1800 / 6 = 300 shirts per day.

The correct result would be:
Factory Number of days Number of shirts
E 6 1800

8 0

2 years ago

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