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2 years ago

For a project in her Geometry class, Chloe uses a mirror on the ground to measure

Mathematics

1 answer:

WARRIOR [948]2 years ago

6 0

Answer: 15.53

Step-by-step explanation:

Let the height of the goalpost be y. Then,

$\frac{y}{10.65}=\frac{1.75}{1.2}\\\\y \approx 15.53$

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Find the odds for and the odds against the event rolling a fair die and getting a 1 comma a 2 comma or a 5.

IrinaVladis [17]

Answer:

1/2 for or against

Step-by-step explanation:

There is a six sided die so the chance of getting one side is 1/6.

To get the sum for 3 sides, just do 1/6 + 1/6 + 1/6 = 3/6 or 1/2.

4 0

3 years ago

Can please someone help me? The question is in the picture. Thank you

maxonik [38]

Answer:

C. $9\pi$

Step-by-step explanation:

We proceed to solve for $x$ by the Pythagorean Theorem:

$(x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2}$ (1)

$x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)$

$x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x + 17$

$4\cdot x^{2} -20\cdot x + 16 = 0$

$(2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0$

$(2\cdot x -8)\cdot (2\cdot x -2) = 0$

There are two different solutions:

$x_{1} = 4$ , $x_{2} = 1$

A solution of $x$ is considered realistic when the length of every side of the triangle is a not negative number.

$x_{1} = 4$

$UV = 2\cdot (4) - 4$

$UV = 4$

$WU = 4 - 1$

$WU = 3$

$WV = 4 + 1$

$WV = 5$

$x_{2} = 1$

$UV = 2\cdot (1) - 4$

$UV = -2$

$WU = 1 - 1$

$WU = 0$

$WV = 1 + 1$

$WV = 2$

The only realistic set of solutions is for $x = 4$ , and the radius of the circle is represented by the line segment $WU$ : $r = 3$

And the area of the circle ( $A$ ) is calculated from the following formula:

$A = \pi\cdot r^{2}$

$A = \pi\cdot (9)$

$A = 9\pi$

The correct answer is C.

6 0

3 years ago

The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 18 regular gi

german

Answer:

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42

Step-by-step explanation:

The drama club is selling gift baskets to raise money for new costumes.

Let us represent:

The cost of

Regular baskets = x

Deluxe baskets = y

During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158.

Hence:

18x + 19y = 1158....... Equation 1

During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804.

15x + 12y = 804...... Equation 2

Combining them two Equations

18x + 19y = 1158....... Equation 1

15x + 12y = 804...... Equation 2

Multiplying Equation 1 by 15 and Equation 2 by 18 to Eliminate x

270x + 285y = 17370..... Equation 3

270x + 216y = 14472...... Equation 4

We Subtract Equation 4 from Equation 3.

69y = 2898

y = 2898/69

y = $42

Solving for x

18x + 19y = 1158....... Equation 1

18x + 19 × 42 = 1158

18x + 798 = 1158

18x = 1158 - 798

18x = 360

x = 360/18

x = $20

Therefore,

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42

8 0

3 years ago

the degree measure of an angle is defined as the length of the corresponding arc on the unit circle. True/False

Rama09 [41]

Answer:

true

Step-by-step explanation:

because it is

4 0

3 years ago

What does the shape of the sine graph depend on?

r-ruslan [8.4K]

Answer: To graph the sine function, we mark the angle along the horizontal x axis, and for each angle, we put the sine of that angle on the vertical y-axis. The result, as seen above, is a smooth curve that varies from +1 to -1. Curves that follow this shape are called 'sinusoidal' after the name of the sine function.

Step-by-step explanation:

4 0

4 years ago