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3 years ago

5

What multiplies to get 9 and adds to get 27

1 answer:

VMariaS [17]3 years ago

3 0

Mulityply 3 x 3 u will get 9 and add it by 18 u will get 27

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using compound interest, how long does it take to double a 1000 dollar investment that pays 6.5% annual interest, compounded mon

KonstantinChe [14]

Answer:

11 years approx

Step-by-step explanation:

Given data

P=$1000

A=2000

R=6.5%

T= ?

Calculate time, solve for t

t = ln(A/P) / r

substitute

t=ln(2000/1000)/0.065

t=ln(2)/0.065

t=0.693/0.065

t=10.66

Hence the time is 11 years approx

3 0

3 years ago

In triangle ΔABC, ∠C is a right angle and CD is the height to

Zina [86]

Answer:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

Step-by-step explanation:

The triangles are drawn below.

CD is perpendicular to AB as CD is height to AB.

Therefore, angles $m\angle CDB=m\angle CDA=90$ °

So, triangles ΔCBD and ΔCAD are right angled triangles.

Now, from the right angled triangle ΔABC,

$m\angle A+m\angle B =90\\\alpha+m\angle B=90\\m\angle B=90-\alpha$

From ΔCBD,

$m\angle CBD$ is same as $m\angle B$ .

So, $m\angle CBD=90-\alpha$

$m\angle BCD+m\angle BDC =90\\m\angle BCD+90-\alpha=90\\m\angle BCD=\alpha$

Now, from ΔCAD,

$m\angle CAD$ is same as $m\angle A$

So, $m\angle CAD=\alpha$

$m\angle CAD+m\angle ACD =90\\\alpha+m\angle ACD=90\\m\angle ACD=90-\alpha$

Hence, the unknown angles of both the triangles are:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac15%20%284%20-%203x%29%20%3D%5Cfrac15%20%283x%20-%204%29" id="TexFormula1" title="\frac1

emmainna [20.7K]

Answer:

x=4/3

Step-by-step explanation:

In pic

(hope this helps can I pls have brainlist (crown) ☺️)

8 0

2 years ago

Read 2 more answers

The midpoint of RT is S(0.5, –6.25). One endpoint is T(–5.5, 2.75). What are the coordinates of R?

IrinaK [193]

<span>(6.5, –15.25) Is the answer.</span>

5 0

3 years ago

Read 2 more answers

Type the correct answer in each box. If necessary, use / for the fraction bar(s).

Tom [10]

Given:

The values are $a=0.\overline{6},b=0.75$ .

To find:

The values of $ab$ and $\dfrac{a}{b}$ .

Solution:

We have,

$a=0.\overline{6}$

$a=0.666...$ ...(i)

Multiply both sides by 10.

$10a=6.666...$ ...(ii)

Subtracting (i) from (ii), we get

$10a-a=6.666...-0.666...$

$9a=6$

$a=\dfrac{6}{9}$

$a=\dfrac{2}{3}$

And,

$b=0.75$

$b=\dfrac{75}{100}$

$b=\dfrac{3}{4}$

Now, the product of a and b is:

$ab=\dfrac{2}{3}\times \dfrac{3}{4}$

$ab=\dfrac{1}{2}$

The quotient of a and b is:

$\dfrac{a}{b}=\dfrac{\dfrac{2}{3}}{\dfrac{3}{4}}$

$\dfrac{a}{b}=\dfrac{2}{3}\times \dfrac{4}{3}$

$\dfrac{a}{b}=\dfrac{8}{9}$

Therefore, the required values are $ab=\dfrac{1}{2}$ and $\dfrac{a}{b}=\dfrac{8}{9}$ .

6 0

3 years ago