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3 years ago

A triangle with side lengths of 8 cm, 14cm and 20 cm classify it as acute obtuse or right

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

8 0

Answer:

Obtuse

Step-by-step explanation:

The pythagorean theorem: a^2+b^2=c^2

Right triangles: a^2+b^2=c^2

Acute triangles: a^2+b^2>c^2

Obtuse triangles: a^2+b^2<c^2

8^2+14^2 ? 20^2

64+196 ? 400

260 < 400

The triangle is obtuse.

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I will mark you brainiest if you can answer this, please help

Marina86 [1]

Answer:

Divide

Step-by-step explanation:

Divide everything on both sides of the equal sign by the coefficient to get rid of it. This only works in this example.

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3 years ago

Read 2 more answers

L :V --> W is a linear transformation. Prove each of the following (a) ker L is a subspace of V. (b) range L is a subspace of

iragen [17]

Answer:

a) Assume that $x,y\in\ker L$ , and $\alpha$ is a scalar (a real or complex number).

First. Let us prove that $\ker L$ is not empty. This is easy because $L(0_V)=0_W$ , by linearity. Here, $0_V$ stands for the zero vector of V, and $0_W$ stands for the zero vector of W.

Second. Let us prove that $\alpha x\in\ker L$ . By linearity

$L(\alpha x) = \alpha L(x)=\alpha 0_W=0_W$ .

Then, $\alpha x\in\ker L$ .

Third. Let us prove that $y+ x\in\ker L$ . Again, by linearity

$L(x+y)=L(x)+L(y) = 0_W + 0_W=0_W$ .

And the statement readily follows.

b) Assume that $u$ and $v$ are in range of $L$ . Then, there exist $x,y\in V$ such that $L(x)=u$ and $L(y)=v$ .

First. Let us prove that range of $L$ is not empty. This is easy because $L(0_V)=0_W$ , by linearity.

Second. Let us prove that $\alpha u$ is on the range of $L$ .

$\alpha u = \alpha L(x) = L(\alpha x) = L(z)$ .

Then, there exist an element $z\in V$ such that $L(z)=\alpha u$ . Thus $\alpha u$ is in the range of $L$ .

Third. Let us prove that $u+v$ is in the range of $L$ .

$u+v = L(x)+L(y) = L(x+y)=L(z)$ .

Then, there exist an element $z\in V$ such that $L(z)= u +v$ . Thus $u +v$ is in the range of $L$ .

Notice that in this second part of the problem we used the linearity in the reverse order, compared with the first part of the exercise.

Step-by-step explanation:

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3 years ago

The sales tax charged on a $40 dress was $3.20.what is the sales tax rate charged on the dress?

Ulleksa [173]

Answer:

Step-by-step explanation:

3.20 divided by 40 = 0.08

0.08 = 8% therefore $3.20 divided by $40.00 = 8% sales tax

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3 years ago

Find the value of X

Oduvanchick [21]

Answer: 9 or 10

Step-by-step explanation:

That is an isloated triangle.

30+[ ]+[ ]= 180 degrees.

Reminder: [ ] & [ ] is a same amount of number.

So 11*x-18 is [ ].

180-30= [ ] & [ ].

[ ] & [ ]= 150.

Then, [ ] is 150/2.

[ ]= 75.

(11*x - 18)= 75 degrees.

9*9-18= Answer.

I hope that helps :D

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3 years ago

PLS HELP ME, NO ONE WILL HELPPPP

dlinn [17]

Number 4 is the correct answer

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3 years ago