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3 years ago

If the bookshelf is 51 inches tall how tall Is it in feet

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

7 0

4 ft. 3 in. Hope this helps!

tangare [24]3 years ago

3 0

The bookshelf would be 4 feet 3 inches.

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10(11-x) pls I need help

nadezda [96]

Answer: 110 -10x

Step-by-step explanation:

You do pemdas

So 11•10 = 110

Then -10•x = -10x

And then you get

110-10x

8 0

3 years ago

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A rectangular prism has a length of 1 yards, a width of 2) yards, and a height of 4 yards.

atroni [7]

Answer:

Step-by-step explanation:

2*1*4=8

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3 years ago

Determine if the given mapping phi is a homomorphism on the given groups. If so, identify its kernel and whether or not the mapp

shtirl [24]

Answer:

(a) No. (b)Yes. (c)Yes. (d)Yes.

Step-by-step explanation:

(a) If $\phi: G \longrightarrow G$ is an homomorphism, then it must hold

that $b^{-1}a^{-1}=(ab)^{-1}=\phi(ab)=\phi(a)\phi(b)=a^{-1}b^{-1}$ ,

but the last statement is true if and only if G is abelian.

(b) Since G is abelian, it holds that

$\phi(a)\phi(b)=a^nb^n=(ab)^{n}=\phi(ab)$

which tells us that $\phi$ is a homorphism. The kernel of $\phi$

is the set of elements g in G such that $g^{n}=1$ . However,

$\phi$ is not necessarily 1-1 or onto, if $G=\mathbb{Z}_6$ and

n=3, we have

$kern(\phi)=\{0,2,4\} \quad \text{and} \quad\\\\Im(\phi)=\{0,3\}$

(c) If $z_1,z_2 \in \mathbb{C}^{\times}$ remeber that

$|z_1 \cdot z_2|=|z_1|\cdot|z_2|$ , which tells us that $\phi$ is a

homomorphism. In this case

$kern(\phi)=\{\quad z\in\mathbb{C} \quad | \quad |z|=1 \}$ , if we write a

complex number as $z=x+iy$ , then $|z|=x^2+y^2$ , which tells

us that $kern(\phi)$ is the unit circle. Moreover, since

$kern(\phi) \neq \{1\}$ the mapping is not 1-1, also if we take a negative

real number, it is not in the image of $\phi$ , which tells us that

$\phi$ is not surjective.

(d) Remember that $e^{ix}=\cos(x)+i\sin(x)$ , using this, it holds that

$\phi(x+y)=e^{i(x+y)}=e^{ix}e^{iy}=\phi(x)\phi(x)$

which tells us that $\phi$ is a homomorphism. By computing we see

that $kern(\phi)=\{2 \pi n| \quad n \in \mathbb{Z} \}$ and

$Im(\phi)$ is the unit circle, hence $\phi$ is neither injective nor

surjective.

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3 years ago

Solve the inequality for u.<br> 7u - 32< - 3(6-3u)<br> Simplify your answer as much as possible.

Dmitry_Shevchenko [17]

Answer:

u > - 7

Step-by-step explanation:

7u - 32 < - 3(6-3u)

7u - 32 < - 18 + 9u

18-32 < - 7u + 9u

-14 < 2u

2u > - 14

u > - 7

3 0

2 years ago

Read 2 more answers

Which statements are true?

Mashutka [201]

Answer:

It doesn’t necessarily ask for reasoning, but I’ll just say all of the above are correct, the definition of congruent is “identical in form” or the same. A 25 degree angle would be congruent to a 25 degree angle, two intersecting lines form 4 angles or two lines that equal 180 degrees on each side, and both angle pairs of 2 are gonna be congruent to each other respectively, and two congruent angles of 45 degrees would add up to 90 degrees.

6 0

2 years ago