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3 years ago

How many eighths are in one fourth

Mathematics

2 answers:

Ivahew [28]3 years ago

4 0

There are 2/8 in one fourth. Simplify

MrRa [10]3 years ago

3 0

There are 2 eighths in one fourth
2/8 = 1/4

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The quotient of j and 8" can be expressed as:

jek_recluse [69]

The quotient is the result of dividing one number by another.
Quotient = dividend / divisor
For example:
7 : 5 = 7/5 ( 7/5 is the quotient )
Quotient = j : 8 = j / 8
Answer:
A ) j / 8

6 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

If a person measures 42in in height what does the person measure in feet. I got the answer correct which is 3ft 6in but I need t

faust18 [17]

$42in=42\cdot0.0833333ft=3.5ft\\\\Answetr\ is\ 3.5\ feet.$

6 0

4 years ago

Read 2 more answers

If the geometric mean of a and 28 is 16 sqrt 7 find a

kozerog [31]

Answer:

a = 64

Step-by-step explanation:

The geometric mean of 2 numbers a and b is $\sqrt{ab}$ , then

$\sqrt{28a}$ = 16 $\sqrt{7}$ ( square both sides )

28a = (16 $\sqrt{7}$ )² = 1792 ( divide both sides by 28 )

a = 64

8 0

3 years ago

Read 2 more answers

Find the circumference and the area of the circle with a diameter of 15ft

guapka [62]

Answer:

Circumference is pi times diameter so that would equal 15 pi. The formula to find the area of a circle is A=pi * r^2 So you divide 15 by 2 to find the radius. r=7.5 Then you square it and multiply it by pi and get 56.25pi which is about equal to 176.715

6 0

3 years ago