1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MatroZZZ [7]
3 years ago
10

Does anyone know how to do this ?

Mathematics
1 answer:
dedylja [7]3 years ago
5 0

Answer:

w=3 h=4

Step-by-step explanation:

14=2w+2h      w=(3/4)h

substitute

14=2(3/4)h+2h

distribute

14=1.5h+2h

simplify

14=3.5h

divide both sides by 3.5

4=h

plug into original equation

w=(3/4)4

w=3

You might be interested in
Banabas must pay his ex-wife an amount of R350 000 in two years’ time. Calculate the amount that he must invest today to have th
White raven [17]

Answer:

He must invest R297 521 today.

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Banabas must pay his ex-wife an amount of R350 000 in two years’ time.

This means that t = 2, A(t) = 350000

Interest rate of 8.15% per annum compounded monthly:

This means that r = 0.0815, n = 12.

Amount he must invest today:

This is P. So

A(t) = P(1 + \frac{r}{n})^{nt}

350000= P(1 + \frac{0.0815}{12})^{2*12}

P = \frac{350000}{(1 + \frac{0.0815}{12})^{2*12}}

P = 297521

He must invest R297 521 today.

4 0
3 years ago
what is the correlation coefficient of the linear fit of the data shown below, to the nearest hundreth
8_murik_8 [283]

Answer:

theres no picture.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A building that is 90 feet tall cast a shadow 30 feet long what is the angle of elevation of the sun
DerKrebs [107]

Answer:

aUjJz slsmsmmwlakm

Step-by-step explanation:

nakaoianq s wkow9a9izjxi

3 0
3 years ago
How √225 and √223 are different by their nature ??
denis23 [38]
Here, we know, √225 = 25 (perfect squared)
whereas √223 is not a perfect squared.

So, √225 would be "Rational" whereas √223 would be "Irrational" by the nature.

Hope this helps!
5 0
3 years ago
Solve the following equations.<br> log2(x^2 − 16) − log^2(x − 4) = 1
Alenkasestr [34]

Answer:

x=\frac{4*(2+e)}{e-2}

Step-by-step explanation:

Let's rewrite the left side keeping in mind the next propierties:

log(\frac{1}{x} )=-log(x)

log(x*y)=log(x)+log(y)

Therefore:

log(2*(x^{2} -16))+log(\frac{1}{(x-4)^{2} })=1\\ log(\frac{2*(x^{2} -16)}{(x-4)^{2}})=1

Now, cancel logarithms by taking exp of both sides:

e^{log(\frac{2*(x^{2} -16)}{(x-4)^{2}})} =e^{1} \\\frac{2*(x^{2} -16)}{(x-4)^{2}}=e

Multiply both sides by (x-4)^{2} and using distributive propierty:

2x^{2} -32=16e-8ex+ex^{2}

Substract 16e-8ex+ex^{2} from both sides and factoring:

-(x-4)*(-8-4e-2x+ex)=0

Multiply both sides by -1:

(x-4)*(-8-4e-2x+ex)=0

Split into two equations:

x-4=0\hspace{3}or\hspace{3}-8-4e-2x+ex=0

Solving for x-4=0

Add 4 to both sides:

x=4

Solving for -8-4e-2x+ex=0

Collect in terms of x and add 4e+8 to both sides:

x(e-2)=4e+8

Divide both sides by e-2:

x=\frac{4*(2+e)}{e-2}

The solutions are:

x=4\hspace{3}or\hspace{3}x=\frac{4*(2+e)}{e-2}

If we evaluate x=4 in the original equation:

log(0)-log(0)=1

This is an absurd because log (x) is undefined for x\leq 0

If we evaluate x=\frac{4*(2+e)}{e-2} in the original equation:

log(2*((\frac{4e+8}{e-2})^2-16))-log((\frac{4e+8}{e-2}-4)^2)=1

Which is correct, therefore the solution is:

x=\frac{4*(2+e)}{e-2}

6 0
4 years ago
Other questions:
  • What is the solution of the equation? (√2x-1) + 2=x
    14·1 answer
  • 2x + 5 equals 3x squared + 2 x - 7
    7·2 answers
  • What is true of a geometric plane?
    6·1 answer
  • The quotient of j and 8 expressed
    13·1 answer
  • I can't figure out how to do this problem. Could somebody help me?
    6·1 answer
  • ??????????????????????????????????​
    8·2 answers
  • PLEASE HELP I WILL GIVE BRAINIEST. What is the range?
    11·2 answers
  • Segment AB is congruent to segment AB.
    8·1 answer
  • Solve for the missing variable. x = ?
    11·2 answers
  • If r/s = 22 and the value of r is 242, what is the value of s
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!