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3 years ago

Solve for all missing measures

Mathematics

1 answer:

mylen [45]3 years ago

3 0

Answer:

Step-by-step explanation:

Begin

If this is a rhombus then <8 = 90 degrees as do all the central angles. That's because the diagonals intersect at right angles.

<4 = 38 z formation for parallel lines.

<7 = 52 The angles are part of a right angle triangle. <7 +38 = 90

<2 = 52 z formation of parallel lines (a rhombus has ll lines).

<3 = 38 The diagonals of a rhombus bisect each other.

<5 = 38 z formation for parallel lines.

<6 = 52 The diagonals of a rhombus are angle bisectors.

<1 = 52 The diagonals of a rhombus are angle bisectors.

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erastovalidia [21]

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3 years ago

A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probabili

____ [38]

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

$A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2$

Area of square,

$A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2$

Now, probability is given by :

$P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785$

Therefore, the probability that the point is inside the circle is 0.785 .

4 0

2 years ago

Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week but is paid a commission on

Luba_88 [7]

Answer: Natalie make $ 367.5 in a week in which she made $225 in sales .

Natalie make $ ( 300+x ) in a week in which she made $ x in sales .

Step-by-step explanation:

Base Salary of Natalie = $300

Also, she gets 30% of the her total sales for the week.

If total sales in a week = $225

commission = 30% of $225

= $ ( 0.30 × 225)

= $ 67.5

Natalie got = Base Salary + Commission

= $300 + $ 67.5

= $ 367.5

∴ Natalie make $ 367.5 in a week in which she made $225 in sales .

If total sales in a week = $x

commission = 30% of $x

= $ ( 0.30 × x)

= $ 0.30 x

Natalie got = Base Salary + Commission

= $ ( 300+x )

∴ Natalie make $ ( 300+x ) in a week in which she made $ x in sales .

7 0

3 years ago

seabass has a log that is 4 yards long. He cuts the log pieces that are 1/3 yard long. How many pieces will sebass have?

olga2289 [7]

12 pieces

3 pieces = 1 yard

Multiply 4 by 3 because the log is 4 yards long

That will give you 12 total pieces

5 0

3 years ago

Select the conic section that represents the equation. y2 = 10x circle ellipse parabola hyperbola

Makovka662 [10]

The conic that represents the equation y² = 10x is a parabola

Step-by-step explanation:

The general equation for any conic section is

Ax² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, C, D, E and F are

constants

1. If B² - 4AC < 0, if a conic exists, it will be either a circle or an ellipse,

if A and C are equal then it is a circle, if not then it is an ellipse

2. If B² - 4AC = 0, if a conic exists, it will be a parabola

3. If B² - 4AC > 0, if a conic exists, it will be a hyperbola

∵ The equation is y² = 10x

- Subtract 10x from both sides

∴ y² - 10x = 0

∴ A = 0 , B = 0 , C = 1 , D = -10 , E = 0 and F = 0

∵ B² - 4AC = (0)² - 4(0)(1) = 0

∴ B² - 4AC = 0

∴ The conic is parabola

The conic that represents the equation y² = 10x is a parabola

Learn more:

You can learn more about discriminant in brainly.com/question/8196933

#LearnwithBrainly

6 0

3 years ago