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3 years ago

Find the volume of a cubewith a side length of 10 ft.

Mathematics

2 answers:

kotegsom [21]3 years ago

4 0

Answer:

1000 ft

Step-by-step explanation:

Formula : length x width x height

Since it's a cube, all sides are the same

10 x 10 x 10 =1000

Korvikt [17]3 years ago

3 0

Answer:

108

Step-by-step explanation:

do u guys stay on this and text on this

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Melissa is standing 40 ft from a tree. The angle of elevation from where she is standing on the ground to the top of the tree is

bagirrra123 [75]

Tan(angle) = opposite length/ adjacent length

Tan(50) = h/40
h = 40 x tan(50)
h = 47.67 or 47.7 feet

3 0

3 years ago

Read 2 more answers

Find all of the eigenvalues λ of the matrix A. (Hint: Use the method of Example 4.5 of finding the solutions to the equation 0 =

Svetradugi [14.3K]

Answer:

$\lambda=8,\ \lambda=-5$

Step-by-step explanation:

<u>Eigenvalues of a Matrix</u>

Given a matrix A, the eigenvalues of A, called $\lambda$ are scalars who comply with the relation:

$det(A-\lambda I)=0$

Where I is the identity matrix

$I=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

The matrix is given as

$A=\left[\begin{array}{cc}3&5\\8&0\end{array}\right]$

Set up the equation to solve

$det\left(\left[\begin{array}{cc}3&5\\8&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda \end{array}\right]\right)=0$

Expanding the determinant

$det\left(\left[\begin{array}{cc}3-\lambda&5\\8&-\lambda\end{array}\right]\right)=0$

$(3-\lambda)(-\lambda)-40=0$

Operating Rearranging

$\lambda^2-3\lambda-40=0$

Factoring

$(\lambda-8)(\lambda+5)=0$

Solving, we have the eigenvalues

$\boxed{\lambda=8,\ \lambda=-5}$

8 0

3 years ago

What is the 6th term of the sequence?

vesna_86 [32]

Answer:

i really dont know maybe 6

Step-by-step explanation:

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3 years ago

Gareth buys two oranges. He pays with a £1 coin and gets 52p change. Work out the cost of one orange.

zalisa [80]

Answer:

24p

Step-by-step explanation:

£1 - £0.52 = £0.48 ← cost of 2 oranges

cost of 1 orange = £0.48 ÷ 2 = £0.24

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2 years ago

Write an equation of a line that is parallel to y = 3x – 5 and goes through the point (3, 1).

scoray [572]

Paralell means has same lsope
y=mx+b
m=slope

given
y=3x-5
slope=3

y=3x+b
find b
(3,1)
x=3
y=1
sub and find b

1=3(3)+b
1=9+b
minus 9 both sides
-8=b

y=3x-8 is equation

5 0

3 years ago

Find the volume of a cubewith a side length of 10 ft.​

Find the volume of a cubewith a side length of 10 ft.