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2 years ago

Using division, select all the fractions that are equivalent to 30/40.

Mathematics

2 answers:

Mice21 [21]2 years ago

7 0

Answer:

3/4 6/8

Step-by-step explanation:

30/40 = .75

3/4= .75

6/8= .75

Mariulka [41]2 years ago

4 0

Answer:

The answer is C.) and E.)

Step-by-step explanation:

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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

Aiden put two-fifths of his Money into his piggy bank. He had $15 left in his pocket to buy a toy. How much money did aiden have

Travka [436]

Answer:25

Step-by-step explanation:

15x 2/5=25

5 0

3 years ago

Read 2 more answers

What is The prime factorization of <br> is 24 × 5.

Anna [14]

Answer:

The prime factorization of the number 24 is 2 × 2 × 2 × 3.

4 0

2 years ago

Read 2 more answers

Write a unit rate for: 12 pounds for $17.88.

Vika [28.1K]

Answer:

.67

Step-by-step explanation:

12/17.88=.67

8 0

3 years ago

PLEASE HELP ASAP this is for Distribution Area Model (Algebraic) :(

gayaneshka [121]

I believe that answer is 54

8 0

3 years ago