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2 years ago

Jackson invested 140 in an account paying an interest rate of 3 3/4 compounded quarterly.Lucy invested

Mathematics

1 answer:

sukhopar [10]2 years ago

7 0

Answer:

Step-by-step exi i dont know but thanks for the points sorry

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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

2 years ago

Which values of x make the equation |x - 7| = x - 7 true? 9 0 3 8 -7

Vlad [161]

-7
I might not be right but that’s what I got.

3 0

3 years ago

Find the equation who’s roots are (3,0) and (2-5i, 0)

Lana71 [14]

3,0 x 2-5i, 0 = ___ 9i

5 0

3 years ago

What is the area of the parallelogram shown

Nezavi [6.7K]

9514 1404 393

Answer:

60 square units

Step-by-step explanation:

The area is given by the formula ...

A = bh

The base of this parallelogram is 15 units, and its height is 4 units. The area is ...

A = (15 u)(4 u) = 60 u²

The area is 60 square units.

5 0

2 years ago

Is the following number rational or irrational?

zubka84 [21]

Answer:

Step-by-step explanation:

Irrational as π is irrational.

7 0

2 years ago