All categories

2 years ago

Help!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

torisob [31]2 years ago

6 0

Answer:

Step-by-step explanation:

$\frac{sin(56)}{78.6} = \frac{sin(90)}{ab} \\ \\ absin(56) = sin(90) \times 78.6 \\ \\ ab = \frac{sin(90) \times 78.6}{sin(56)} \\ ab = 94.8 \\ \\ {x}^{2} + {78.6}^{2} = {94.8}^{2} \\ {x}^{2} = {94.8}^{2} - {78.6}^{2} \\ {x}^{2} = 8987.04 - 6177.96 \\ {x}^{2} = 2809.08 \\ x = \sqrt{2809.08} \\ x = 53$

You might be interested in

Help!!!!????!!!???!!

Anon25 [30]

Answer:

π/3

Step-by-step explanation:

-5π/3 is a co terminal of 2π-5π/3= (6π-5π)/3=π/3

7 0

2 years ago

A standard oil drum is a cylinder with a volume of approximately 218.276 liters (or 0.218276 cubic meters). The cost of producin

Arte-miy333 [17]

Answer:

r = 2,85 feet

h = 8,56 feet

Step-by-step explanation:

Area of two circular caps (m ^(2)) : 2* pi* r^(2) (where r is the radius of circular cap) Area of wall (m ^(2)) is 2*pi*r*h (where h is the height of drum)

V= pi*r^(2)*h so h=V/pi*r^(2) (1)

Cost in $:

Cost of wall 25 $/m^(2) plus 10% for manufacturing so:

C(w) = 27,5*2*pi*r*h $/square feet

Cost of (both top and bottom cap) = 2*40,97*pi* r^(2) so:

C(caps) = 257,29* r^(2) $/squaer feet

Total cost of cylnder = cost of wall + cost of caps

Total cost f cylinder: F(c)= 55*pi*r*h+257,29* r^(2)

F(c) = 172,7*r*h + 257,29*r^(2) F(c) is F(r)

Since from (1) we have h=218,276/pi*r^(2)

F(r) = (172,7)*r*(69,514)/r^(2) +257,29*r^(2) F(c) = 12005/r + 257,29*r^(2)

Taken the first dervative

F´(r)= -12005*(1)/r^(2) +2*257,29*r F´(r) = -12005*(1)/r^(2) +514,58*r

f F´(r) = 0 -12005*(1)/r^(2) + 514,58*r =0

-120005 + 514,58*^(3) = 0 514,58*^(3) = 12005 r =cubic root (23,32)

r = 2,85 ft

if we replace this value en F(r) we can see F(r) tend to infinite both when r tend to 0 and when r tends to infnite so there is a minimun for the functon

r = 2,85 ft and h = 8,56 ft

5 0

2 years ago

the price of silver has increased by 15% per year from 2000. in the year 2000, harry bought a silver bowl for $190. which of the

lesya [120]

<h2>Answer</h2>

f(x) = 190(1.15)x

<h2>Explanation</h2>

To solve this, we are going to use the standard exponential function:

$f(x)=a(1+b)^x$

Where

$f(x)$ is the final price after $x$ years

$a$ is the initial price

$b$ is the rate in decimal form

$x$ is the time in years

We know from our problem that the initial price is $190, so $a=190$ . Now to convert the rate, 15%, to decimal form, we are going to divide it by 100%, so $r=\frac{15}{100} =0.15$ . Let's replace the values: