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3 years ago

A rectangle is inscribed in a circle of radius r. if the width of the rectangle is x, what is the height of the rectangle?

1 answer:

3 0

The diagonal of length 2r forms the hypotenuse of a right angled triangle with one leg ( the width of the rectangle) = x. So by Pythagoras:-

(2r)^2 = h^2 + x^2 where h = height of the rectangle

h^2 = 4r^2 - x^2

h = √ (4r^2 - x^2) answer

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Solve the system. y= 22 – 10x + 15 y=-10

Yuliya22 [10]

I will try to solve your system of equations.

y=22;−10x+15y=−10

Step: Solvey=22for y:

Step: Substitute22foryin−10x+15y=−10:

−10x+15y=−10

−10x+(15)(22)=−10

−10x+330=−10(Simplify both sides of the equation)

−10x+330+−330=−10+−330(Add -330 to both sides)

−10x=−340

−10x

−10

−340

−10

(Divide both sides by -10)

x=34

Answer:

y=22 and x=34Answer:

Step-by-step explanation:

7 0

3 years ago

Can someone help me?

EastWind [94]

Answer:

5,184

Step-by-step explanation:

multiply each unit by 6 and then you end up with 12, 24, and 18. Then you multiply all these answer by each other and get 5,184.

4 0

3 years ago

Read 2 more answers

Christina's bird feeder holds 7/10 of a cup of birdseed. Christina is filling the bird feeder with a scoop that holds 1/10 of a

AveGali [126]

Answer:

7 scoops

Step-by-step explanation:

hope this helps

5 0

3 years ago

The width of a rectangle is 9 inches more than 5 times the length. If x represents the length, write an algebraic expression in

larisa86 [58]

Answer:

The expression that represents the perimeter of the rectangle is "12*x + 18", where "x" is the length of the rectangle.

Step-by-step explanation:

In order to solve this question we were given an expression that relates both dimensions of the rectangle. This expression in a mathematical form where "x" is the length and "y" is the width is shown bellow:

y = 9 + 5*x

The perimeter of a rectangle is given by:

perimeter = 2*length + 2*width

perimeter = 2*x + 2*(9+5*x)

perimeter = 2*x + 18 + 10*x

perimeter = 12*x + 18

The expression that represents the perimeter of the rectangle is "12*x + 18", where "x" is the length of the rectangle.

6 0

4 years ago

3. Solve using substitution. x - y = 4 3x - 2y = -5

Vedmedyk [2.9K]

Given:

The system of linear equations are $x-y=4$ and $3x-2y=-5$

We need to determine the solution to the system of equations using substitution method.

Solution:

The solution can be determined using the substitution method.

Let us substitute $x=4+y$ in the equation $3x-2y=-5$

Thus, we have;

$3(4+y)-2y=-5$

$12+3y-2y=-5$

$12+y=-5$

$y=-17$

Thus, the value of y is -17.

Substituting $y=-17$ in the equation $x-y=4$ , we get;

$x+17=4$

$x=-13$

Thus, the value of x is -13.

Hence, the solution to the system of equations is (-13,-17)

6 0

4 years ago