An indoor track is made up of a rectangular region with two semi-circles at the ends. The distance
around the track is 400 meters. Determine the radius of the semicircular ends of the track in terms of y.

Answer:

5x2 – 168 = -60x + 12

5x*2 – 156 = -60x

-55x*2=156

55x=-78

x=-1.41818181818

also know as 18/7 or 1 4/7

Answer:

[tex](x+6)^{2}[/tex] = 51

Step-by-step explanation:

5x2 – 168 = -60x + 12

5x2  + 60 x – 180 = 0

[tex]x^{2}[/tex]  + 12 x – 15 = 0

[tex]x^{2}[/tex]  + 12 x   = 15

        + 36      + 36

[tex]x^{2}[/tex]  + 12 x  + 36  =  51

[tex](x+6)^{2}[/tex] = 51

[tex]\sqrt{(x+6)^{2} }[/tex] = [tex]\sqrt{51}[/tex]

x + 6 =  [tex]\sqrt{51}[/tex]

x   = -6 ± [tex]\sqrt{51}[/tex]

Answer:

I think it's either C or A

Answer:

What does the question mean can u explain me after that I will help u out in question

Answer:

The domain: All real numbers.

The range: y>0

Step-by-step explanation:

Domain means all possible x values, and by looking at the graph it covers all real numbers.

Range means all possible y values, and since the x axis is a horizontal asyntope, the graph will never touch the x axis, which is why the range is y>0.  

Answer:

1 degree c

Step-by-step explanation:

Answer:

365

Step-by-step explanation:

tn = t1 + (n - 1)(d)

t(47) = -3 + (47 - 1)(8)

t(47) = -3 + (46)(8)

t(47) = -3 + 368

t(47) = 365

I think the second number is supposed to be negative, -11/2 = -5.5, because otherwise the sequence is not arithmetic.

The n-th term of the sequence, starting with n = 1, is then

-6 + 0.5 (n - 1) = 0.5n - 6.5

and we want to find the number N such that

[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5)=-25[/tex]

We have

[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5) = 0.5\sum_{n=1}^Nn-6.5\sum_{n=1}^N1\\ = 0.5\times\frac{N(N+1)}2 - 6.5N \\= 0.25N^2-6.25N = -25[/tex]

Solve for N :

0.25 N ² - 6.25N + 25 = 0

N ² - 25N + 100 = 0

(N - 20) (N - 5) = 0

N = 20   or   N = 5

Answer:

= 24 3/4x

Step-by-step explanation:

3* 8 1/4x

Here 8 1/4 is a mixed fraction.

Convert it to improper fraction

8 1/4 = 33/4

So, 3*33/4 x

99/4 x

= 24 3/4x

That is

Hope this will helpful.

gimmie brainlist :)

Answer:

5ff5yvy hh h

Step-by-step explanation:

ctvtvh j h h h j

Answer:

531

Step-by-step explanation:

2124 = 4% × Y

Y = 2124 × 100/4

Y = 2124 × 100 ÷ 4

Y = 53100

Answer:

α = 27.9794744° ≈ 28.0 m (nearest tenth)

Step-by-step explanation:

Step 1:

Opposite (O) = 42.5 (the side opposite to the reference angle, α)

Adjacent (A) = 80

Hypotenuse (H) = the longest side opposite to the right angle

2. We are given the adjacent (A) and opposite (O) lengths, we would use TOA. Which is:

Tan α = Opp/Adj

Plug in the values

Tan α = 42.5/80

3. Make α stand alone

α = [tex] tan^{-1}(\frac{42.5}{80}) [/tex]

4. α = 27.9794744° ≈ 28.0 m (nearest tenth)

Answer:

point a

Step-by-step explanation:

start from the axis go up 3 to the left one and point a is five units below point g

Answer:

Point B is 5 units from point G.

Step-by-step explanation:

The ordered pair (3,-1) is 4 units down from point D.

And point B is 5 units to the left of point G.

Answer:

Measure Of Angle K is 82*

Step-by-step explanation:

According To Question, We Have Given

A Quadrilateral JKLM, We Know Sum Of All The Angles Of Quadrilateral Is 360* .

Thus

∠JKL=90*

∠KLM= 180* - 110* = 70* ( Find Diagram In Attachment )

∠MJK=118* (Alternative Opposite Angle)

Now We Have To Find The Value Of ∠LKJ.

∠K = 360* - (∠MJK+∠KLM+JKL)

∠K = 360* - (118* + 70* + 90*)

∠K = 360* - 278*

∠K = 82*

(Diagram, Please Find In Attachment)

Answer:

The answer is LP and QP, and PL and PQ.

Step-by-step explanation:

Do you want to know from where I got the answer?

I got this answer from an app called Gauthmath where I found the solution for it direct from the tutor, which is right in most cases. You can check the app at Play Store and App Store.

Hope this helps.

Answer:

Step-by-step explanation:

just remember that [tex]\sqrt{x} = x^{1/2} ....... \sqrt[3]{x} = x^{1/3} \\also that (x^{a})^{b} = x^{a*b}[/tex]

1) x^3 = x^ (3/4) ===> FALSE

2) x^3/4 = x^3/4 ===> TRUE

3) x^3/4 = x^3/4 ===> TRUE

4) x^(4/3) = x^(4/3) ===> TRUE

Answer:1) x^3 = x^ (3/4) ===> FALSE

2) x^3/4 = x^3/4 ===> TRUE

3) x^3/4 = x^3/4 ===> TRUE

4) x^(4/3) = x^(4/3) ===> TRUE

Step-by-step explanation:

Answer:

h(5x) = 75x² + 7

Step-by-step explanation:

h(x) = 3x² + 7

h(5x) = 3(5x)² + 7

h(5x) = 3(25x²) + 7

h(5x) = 75x² + 7

[tex]h(5x) = 75x^2 + 7[/tex]

To find h(5x), you simply need to substitute 5x in place of x in the function [tex]h(x) = 3x^2 + 7[/tex] and then simplify the expression.

[tex]h(x) = 3x^2 + 7[/tex]

Now, replace x with [tex]5x: h(5x) = 3(5x)^2 + 7[/tex]

Simplify: [tex]h(5x) = 3(25x^2) + 7[/tex]

Now, calculate [tex]3 * 25: h(5x) = 75x^2 + 7[/tex]

So, [tex]h(5x) = 75x^2 + 7[/tex]

To know more about substitute:

https://brainly.com/question/29383142

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Answer:

how do I do another question

Answer:

6 seconds

Step-by-step explanation:

Start by assigning x to value you are trying to find - in this case, the number of seconds until Luigi catches up with Mario.

After x seconds, the distance Luigi has traveled will be the same as the distance Mario has traveled plus 90, since Mario is 90 meters ahead of Luigi.

So our equation is 50x = 35x + 90

Subtracting 35x from both sides: 15x = 90

Dividing both sides by 15: x = 6

So Luigi will catch up with Mario in 6 seconds.

Answer:

He made the following mistake, he assumed that polynomial [tex](x^{2}+1) = (x^{2}-1)[/tex], having for granted that [tex]x^{2}+1[/tex] has two real roots, instead of two complex roots.

Step-by-step explanation:

He made the following mistake, he assumed that polynomial [tex](x^{2}+1) = (x^{2}-1)[/tex], having for granted that [tex]x^{2}+1[/tex] has two real roots, instead of two complex roots. The true factorized form of the fourth grade polynomial is:

[tex]r(x) = (x^{2}+1)\cdot (x^{2}-9)[/tex]

[tex]r(x) = (x- i)\cdot (x+i)\cdot (x+3)\cdot (x-3)[/tex]

Answer:

100:350                   simplified: [tex]\frac{2}{7}[/tex]

Step-by-step explanation

A ratio of 2:3 means that for every item of A, we can expect of item B. Therefore, our total group is 2+3=5.

Calculate expected number of item A:

[tex]\frac{2x500}{5}[/tex]

Expected number of item A: [tex]\frac{1000}{5}[/tex]

This fraction can be reduced by 5 giving you:

Expected number of item A: 200

Calculate expected number of item B:

[tex]\frac{3x500}{5}[/tex]

Expected number of item B: [tex]\frac{1500}{5}[/tex]

This fraction can be reduced by 5 giving you:

Expected number of item B: 300

Answer:

x = - 16, x = 24

Step-by-step explanation:

Given f(x) = 7 then equate f(x) to 7

0.5 | x - 4 | - 3 = 7 ( add 3 to both sides )

0.5 | x - 4 | = 10 ( divide both sides by 0.5 )

| x - 4 | = 20

The expression inside the absolute value bars can be positive or negative, so

x - 4 = 20 ( add 4 to both sides )

x = 24

OR

- (x - 4) = 20

- x + 4 = 20 ( subtract 4 from both sides )

- x = 16 ( multiply both sides by - 1 )

x = - 16

Answer:

The Answer is B

Step-by-step explanation:

Your Welcome

Answer:

k=20t/a

Step-by-step explanation:

20t=ak

20t/a=k

k=20t/a

Answer:

The complement is ‘a’

Step-by-step explanation:

Mathematically, when two angles are complementary, or said to be a complement of each other, when added, they equal 90 degrees

So, by subtracting the above from 90 degrees, we have its complement

So, we have this as;

90 - (90-a)

= 90 - 90 + a = a

Answer:

30°

Step-by-step explanation:

x = 180° -60°-90° = 30°

Answer:

[tex]3ft^2[/tex]

Step-by-step explanation:

SA = [tex]6a^{2}[/tex]        

SA = [tex]6(3)^2[/tex]      Solve for the exponent first

SA = 6(9)       Multiply

SA = 54 square feet  

Given:

The logarithmic equation is:

[tex]\log_81=0[/tex]

To find:

The exponential equation for the given logarithmic equation.

Solution:

We have,

[tex]\log_81=0[/tex]

It can be rewritten as:

[tex]8^{\log_81}=8^{0}[/tex]

Using [tex]a^{\log_ax}=x[/tex], we get

[tex]1=8^0[/tex]

[tex]8^0=1[/tex]

Therefore, the correct option is C.

Answer:

11.1 feet

Step-by-step explanation:

From the solution triangle attached, the required distance is represented as x ; the value of x can be obtained using trigonometry ;

Cosθ = opposite / Adjacent

Cos 20 = 10.5 / x

x * Cos 20 = 10.5

x = 10.5 / cos 20

x = 11.174 feets

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are acute, scalene, obtuse, equilateral, isosceles and right angled triangle.

For a right angled triangle, the square of the longest side (hypotenuse) is equal to the sum of the square of the remaining two sides.

For an obtuse triangle, the square of the longest side is greater than the sum of the square of the remaining two sides.

For an acute triangle, the square of the longest side is less than the sum of the square of the remaining two sides.

In triangle JKL:

J² + L² = 3² + 4² = 25

K² = 6² = 36 > 25 (J² + L²)

Hence triangle JKL is an obtuse triangle

In triangle XYZ:

X² + Y² = 4² + 4² = 32

Z² = 5² = 25 < 32 (X² + Y²)

Hence triangle XYZ is an acute triangle.

Answer:

obtuse & acute

Step-by-step explanation: