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My name is Ann [436]

3 years ago

7

Roger spend 3/4 of his allowance at the mall. Of the money spent at the mall, 5/6 was spent on new shoes. What part of his allow

ance did he spend on shoes?

1 answer:

Hitman42 [59]3 years ago

8 0

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How do you find the radius of a circle with a circumference of 12pi

sergejj [24]

Answer:

6

Step-by-step explanation:

The circumference of a circle is $2\pir$ $\pi r$ , so $12\pi=2\pi r\\12=2r\\r=6$ . We can use this because the area of a circle is $\pi r^2$ . Thus, $\pi*6^2=36\pi$ .

4 0

3 years ago

Find the intersection point between the lines of equations:<br><br>2x-y+6=0 and 2x+3y-6=0

Ugo [173]

Step-by-step explanation:

The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,

$\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0$

On subtracting the given equations we have,

$\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3$

Put this value in any equation , we have ,

$\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5$

Hence the lines will Intersect at ,

$\implies\underline{\underline{ Point=(-1.5, 3)}}$

8 0

3 years ago

Read 2 more answers

Can someone help me with this please ?

d1i1m1o1n [39]

If the triangle is a right triangle, then

   (3x)² + x² = (10)² .

   9x² + x² = 100

   10x² = 100

   x² = 10

   x = √10 = approx. 3.1622...

If ' x ' is <em>anything less than √10</em> , then the short sides are too short
to make a right angle at the top, and the angle where they meet
is obtuse.

' x ' has to be greater than 2.5 ... otherwise the two short sides
can't stretch far enough to reach both ends of the long side (10) .

So, if 2.5 < x < √10 , then there is a triangle, and it's obtuse.

6 0

3 years ago

How to find nth term of a sequence in math?

worty [1.4K]

Salutations!

To find the nth term, you will be needing a formula.

$a +(n-1) *d$

a stands for the first term (first number in the sequence)

d stands for the difference between two terms. (always remember to subtract from the 2nd term to the 1st term)

and the n is what we are going to find

so in your sequence: 5, 10, 15, 20

5 is a (as it is the first term)

d would be 5 ( 10 -5 =5)

$a+(n-1)*d$

$5+ (n-1) *5$

$5+5n-5$

$5n+0$

your nth term is $5n+0$

Hope this helps!

Have a great day!

7 0

4 years ago

Find the partial fraction decomposition of x-3/x(x^2+3)

Setler [38]

Answer:

-1 / x + (x + 1) / (x² + 3)

Step-by-step explanation:

(x − 3) / (x (x² + 3))

There are two factors in the denominator, so split this into two fractions with unknown numerators:

A / x + (Bx + C) / (x² + 3)

Combine back into one fraction:

(A (x² + 3) + (Bx + C) x) / (x (x² + 3))

Now equate this numerator with the original:

A (x² + 3) + (Bx + C) x = x − 3

Ax² + 3A + Bx² + Cx = x − 3

(A + B) x² + Cx + 3A = x − 3

Match the coefficients:

A + B = 0

C = 1

3A = -3

Solve:

A = -1

B = 1

C = 1

Therefore, the partial fraction decomposition is:

-1 / x + (x + 1) / (x² + 3)

Here's a graph showing that the two are the same:

desmos.com/calculator/hrxfnijewh

3 0

3 years ago