All categories

3 years ago

(Day 8) Find the value of each variable. The dot represents

Mathematics

1 answer:

mario62 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

a=180-122=58°

Let ABC be the triangle in which BC is diameter.

Diameter always make angle 90° on the circumference.

so b=90°

∠B=1/2×58=29°

29+b+c=180

29+90+c=180

c=180-119=61°

You might be interested in

Which statement is TRUE about the best measure of center to use when describing the data set?

Rudik [331]

C because median is all about the middle

5 0

3 years ago

What is the equation of the line that passes through the point (-3, 4) and has a<br> slope of 1

VMariaS [17]

The equation is: y = x + 7

3 0

2 years ago

John is twice as old as Mary. The sum of their ages is 21. How old is Mary?

lesya692 [45]

J=john
m=mary
j is 2 times as old as mary
j=2 times m

sum is 21
m+j=21
find mary
subsitute

j=2m therefor subsitute 2m for j
m+2m=21
add like terms
3m=21
divide by 3
m=7

mary=7

*HOPE I HELPED!*

6 0

2 years ago

Consider the differential equation <img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D6%20y%5E%7

Nutka1998 [239]

As a Bernoulli equation:

$x^2\dfrac{\mathrm dy}{\mathrm dx}=6y^2+6xy\iff x^2y^{-2}\dfrac{\mathrm dy}{\mathrm dx}-6xy^{-1}=6$

Let $z=y^{-1}\implies\dfrac{\mathrm dz}{\mathrm dx}=-y^{-2}\dfrac{\mathrm dy}{\mathrm dx}$ . The ODE becomes

$-x^2\dfrac{\mathrm dz}{\mathrm dx}-6xz=6$
$x^6\dfrac{\mathrm dz}{\mathrm dx}+6x^5z=-6x^4$
$\dfrac{\mathrm d}{\mathrm dx}[x^6z]=-6x^4$
$x^6z=-6\displaystyle\int x^4\,\mathrm dx$
$x^6z=-\dfrac65x^5+C$
$z=-\dfrac6{5x}+\dfrac C{x^6}$
$y^{-1}=-\dfrac6{5x}+\dfrac C{x^6}$
$y=\dfrac1{\frac C{x^6}-\frac6{5x}}$
$y=\dfrac{5x^6}{C-6x^5}$

With $y(3)=6$ , we get

$6=\dfrac{5(3)^6}{C-6(3)^5}\implies C=\dfrac{4131}2$

so the solution is

$y=\dfrac{5x^6}{\frac{4131}2-6x^5}=\dfrac{10x^6}{4131-12x^5}$

which is valid as long as the denominator is not zero, which is the case for all $x\neq\sqrt[5]{\dfrac{4131}{12}}$ .

8 0

2 years ago

PLEASE HELP QUICK THANKS!

never [62]

Answer:

(-infinity,1]

Step-by-step explanation:

set builder notation would be {x|x<=1}

3 0

2 years ago