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3 years ago

While packing for their cross country move, the Chen family uses a crate that has the shape of a cube.

Mathematics

2 answers:

Vanyuwa [196]3 years ago

5 0

Answer:

4ft

Step-by-step explanation:

4 X 4 X 4 = 64 sjixozoxoz

disa [49]3 years ago

3 0

Answer:

$\boxed{\text{4 ft}}$

Step-by-step explanation:

The formula for the volume of a cube is

V = l³

where l is the length of a side.

$\begin{array}{rcl}\text{64 ft}^{3}& =&l^{3}\\\sqrt[3]{ \text{64 ft}^{3}} & = & l\\l & = & \textbf{4 ft}\\\end{array}$

$\text{The length of one side is $\boxed{\textbf{4 ft}}$}$

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Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KN and KL

Mice21 [21]

Answer:

$KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47$

Step-by-step explanation:

Given:

KL ║ NM ,

LM = 45

m∠M = 50°

KN ⊥ NM

NL ⊥ LM

Find: KN and KL

1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,

LM = 45

m∠M = 50°

So,

$\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}$

Also

$m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ}$ (angles LNM and M are complementary).

2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,

$NL=45\tan 50^{\circ}$

$m\angle KLN=m\angle LNM=40^{\circ}$ (alternate interior angles)

$m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ}$ (angles KNL and KLN are complementary).

So,

$\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08$

and

$\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47$

3 0

3 years ago

Read 2 more answers

What is equivalent to<br>x2+ 14x = -13

postnew [5]

Answer:

X= 1 AND 13

Step-by-step explanation:

x2+14x = -13

by completing the square method

you add the square of half the coefficient of b to both sides

which is (14/2)^2

x^2+14x+(7^2) = -13 +(7^2)

x^2 + 7^2 = -13 + 49

x^2 + 7^2 = 36

(x + 7)^2 = 36

find the square root of both sides

(x+7) = + or - 6

x=7-6 ; 1

x= 7+6 ; 13

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2 years ago

6⋅[(32−8)÷4+2] What is the answer to this expession?

Nimfa-mama [501]

Answer:

Step-by-step explanation:

=6*[24/4+2]

=6*[6+2]

=6*8

=48

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vitfil [10]

Answer:

Step-by-step explanation:

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MA_775_DIABLO [31]

Answer:

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