MATHEMATICS HIGH SCHOOL

In a rectangle KLMN, KM = 6x + 16 and LN = 49. find the value of x

Answers

Answer 1
Answer:

Answer:

5.5

Step-by-step explanation:

in a rectangle, opp. sides are equal,

∴, KM=LN

∴, 6x+16=49

6x = 33

x = 5.5
Answer 2
Answer:

Answer:

5.5

Step-by-step explanation:

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The radius of a circle is 10 feet. What is the length of a 46 degree arc?

Answers

Answer:

12.82 feet

Step-by-step explanation:

To find the length of a 46-degree arc of a circle with a radius of 10 feet, you can use the formula for finding the length of a circular arc:

Arc Length = (θ/360) * 2πr

Where:

θ is the central angle in degrees.

r is the radius of the circle.

In this case, θ = 46 degrees and r = 10 feet. Plug these values into the formula:

Arc Length = (46/360) * 2π * 10

Arc Length = (23/180) * π * 10

Arc Length ≈ 12.82 feet

So, the length of a 46-degree arc of a circle with a radius of 10 feet is approximately 12.82 feet.

If x=square root of 6 and y^2=12 then 4/xy=

Answers

y² = 12
y = 2√3

x = √6

Now, 4 /xy
= 4/2√3√6
= 2 / 3√2
= √2/3

In short, Your Answer would be √2 / 3

Hope this helps!
x = root(6)
y = root(12)
4/(root(6)*root(12)) = 4/root(72)     multiply top and bottom by root(72)
4root(72)/72 =root(72)/18
root(72) = root(6^2 * 2) = 6root(2)
6root(2)/18 = root(2)/3
final answer root(2)/3

Put the following equation of a line into slope-intercept form, simplifying all fractions.2x+2y=18

Answers

Answer:

y = - x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope  and c the y- intercept )

given the line with equation

2x + 2y = 18 ( subtract 2x from both sides )

2y = - 2x + 18 ( divide through by 2 )

(2)/(2) y = (-2)/(2) x + (18)/(2) , that is

y = - x + 9 ← in slope- intercept form

Timmy uses 1 1/2 cups of sugar for every 2 gallons of lemonade he makes. How many cups of sugar would Timmy use if he makes 13 gallons of lemonade?cups of sugar

Answers

Answer:

he would have to use 19.5 cups of sugar.

Step-by-step explanation:

21 is a supplement of 22, and mZ1 = 123°. Z2 is a complement of 23. Find m23.
O
mZ3 =

Answers

Measure of angle 3 should be 33! 180-123=57. Then 90-57=33

13.
For which of the following equations are x = 5 and x = –5 both solutions?

Answers

10 on both sides then reduce which is negative 21
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