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3 years ago

I need help with this overlapping triangle equation

Mathematics

1 answer:

andreev551 [17]3 years ago

4 0

Answer:

Where is the picture of the overlapping triangle equation?

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A ant traveled 8 meters in 10 minutes. How many minutes did it take him to travel one meter?

notka56 [123]

Answer:

1 1/4 minutes of 75 seconds

Step-by-step explanation:

10/8 = 5/4 = 1 1/4

5 0

3 years ago

What is the answer to -12/-9 is equal to what

Aleksandr [31]

$\frac{-12}{-9}=\frac{12}{9}=\frac{12:3}{9:3}=\frac{4}{3}=\frac{3+1}{3}=\frac{3}{3}+\frac{1}{3}=1\frac{1}{3}$

3 0

3 years ago

Read 2 more answers

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.

7 0

3 years ago

A small cottage is 24 feet long by 40 feet wide the owners plan to double the width and increase the length of the cottage by 20

Alla [95]

Answer: The new cottage will be 2,560 square feet larger than the small cottage.

Step-by-step explanation:

4 0

1 year ago

Which of the following is an example of the associative property?

Mariulka [41]

Hey there!

Let's look at this one answer at a time.

2(5 - 3) = 10 - 6 would classify as the distributive property because 2 times 5 is 10 and 2 times negative 3 equals negative 6.

-7 + (19 + 5) = (-7 + 19) + 5 would classify as an example of the associative property of equality because both sides of the equation simplify to equal the same number, 17.

11 + (6 + 8) = 11 + (28 + 6) is not a property of equality because it simplifies out to be 25 = 45 which is not true. 25 can never be equal to 45. It's no solution.

1/3 * 3 = 1 would be a great example of the inverse property of multiplication because one third is the reciprocal of three. In other words the equation could look like this: 1/3 * 3/1 = 3/3 = 1

Hope that helps! Thanks for using Brainly!

7 0

3 years ago

Read 2 more answers