All categories

3 years ago

In rectangle KLMN, KM= 3x + 22 and LN= 37. Find the value of x. X L A N M

Mathematics

1 answer:

Afina-wow [57]3 years ago

3 0

Answer:

x =67

Step-by-step explanation:

You might be interested in

Write these numbers from least to greatest -0.615, -5/8, -0.62

inna [77]

Well -5/8 as a decimal would be -0.625.
So, the order would be -0.615 -0.62(0) and then -5/8 (or -0.625).
You could easily search up 5/8 as a decimal :)

5 0

3 years ago

Fine length of BC on the following photo.

MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

simplify

$AC=8\sqrt{5}\ units$

step 2

In the right triangle ACD

Find the cosine of angle CAD

$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

$cos(\angle CAD)=\frac{2}{\sqrt{5}}$ ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

simplify

$BC=4\sqrt{5}\ units$

7 0

3 years ago

Express 11011 in base two

WITCHER [35]

Answer:

Step-by-step explanation:

Hello,

11011 in base 2 is

1 * 16 + 1 * 8 + 0 * 4 + 1 * 2 + 1 in base 10

which is 16 +8+2+1=27

Do not hesitate if you have any question

8 0

3 years ago

A train is traveling at a constant speed and goes a distance of 7 1/2 kilometers in 6 minutes the train will continue at this sp

Alla [95]

Answer:

392939939393939399393939393

Step-by-step explanation:

7 0

3 years ago

Find the quotient of 1 1/4 and 3 1/2 express your answer in simplest form

natta225 [31]

Answer:

11/14

Step-by-step explanation:

11/4 / 3 1/2

3 1/2= 3*2+1= 6+1=7/2

11/4 * 2/7= 22/28

22/2=11

28/2= 14

11/14

4 0

3 years ago

Read 2 more answers