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3 years ago

12

ONLY THE CORRECT ANSWERS PLEASE!!!!

1 answer:

serious [3.7K]3 years ago

3 0

The answer to your question is A ! I HOPE THIS HELPS

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Which of the following represent the values of x, y, and z.

Paraphin [41]

Answer:

Part 1) $z=4\sqrt{3}\ units$

Part 2) $y=4\sqrt{2}\ units$

Part 3) $x=4\sqrt{6}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

<em>Find the value of z</em>

In the right triangle DBC

$cos(C)=\frac{4}{z}$ ----> equation A

In the right triangle ABC

$cos(C)=\frac{z}{12}$ ----> equation B

equate equation A and equation B

$\frac{4}{z}=\frac{z}{12}$

$z^{2}=48$

$z=4\sqrt{3}\ units$

step 2

In the right triangle DBC

Applying the Pythagoras Theorem

$z^{2}=y^{2}+4^{2}$

we have

$z=4\sqrt{3}\ units$

substitute

$(4\sqrt{3})^{2}=y^{2}+4^{2}$

$48=y^{2}+16$

$y^{2}=48-16$

$y^{2}=32$

$y=4\sqrt{2}\ units$

step 3

Find the value of x

In the right triangle ABC

Applying the Pythagoras Theorem

$12^{2}=x^{2}+z^{2}$

we have

$z=4\sqrt{3}\ units$

substitute

$12^{2}=x^{2}+(4\sqrt{3})^{2}$

$144=x^{2}+48$

$x^{2}=144-48$

$x^{2}=96$

$x=4\sqrt{6}\ units$

6 0

4 years ago

Consider this sequence

pochemuha

Hello,

$u_{1} =1*(8-7)=1*(2*4-(6+1))\\
 u_{2} =2*(10-7)=2*(2*5-(6+2))=2*(2*(4+1)-(6+2))\\
 u_{3} =3*(12-9)=3*(2*6-(6+3))=3*(2*(4+2)-(6+3))\\
 u_{4} =4*(14-10)=4*(2*7-(6+4))=4*(2*(4+3)-(6+4))\\

$

$u_{10}=10*(2*(4+10)-(6+10))\\
=10*(28-16)
$

$...\\\\
u_{n} =n*(2*(n+n-1)-(6+n))\\
=n*(4n-2-6-n)=n(3n-8)\\

$

5 0

3 years ago

How many cookies will tony have if he bakes 5 more batches?

Wewaii [24]

How many did he have at first.

6 0

3 years ago

Read 2 more answers

If A denotes some event, what does Ā denote? If P(A) = 0.006, what is the value of PĀ)?

zhuklara [117]

Ignore that bot answer. I believe it would be 0.994 since it’s 1 - 0.006.

3 0

3 years ago

30. The area of the rectangular floor in

IrinaK [193]

Answer:

It has given that the area of the rectangular floor in Tamara's room is 95 ⅚ square feet. the width of the room is 8 ⅓ feet.

8 0

3 years ago