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3 years ago

WILL MAKE BRAINLESSLY What does it mean to be farthest away from the origin? (Or what’s the answer to 23)

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

Answer: (4, 0)

<u>Step-by-step explanation:</u>

The origin is (0, 0)

What is the distance between each given point and (0, 0)?

(0, 0) to (4, 0) is a distance of 4 units on the x-axis

(0, 0) to (-2, 3) is a distance of $\sqrt{(-2)^{2} + (3)^{2}}$ = $\sqrt{13}$ units <em>(use Pythagorean Theorem or distance formula)</em>

(0, 0) to (0, $\frac{7}{2}$ ) is a distance of $\frac{7}{2}$ = 3.5 units on the y-axis

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The probability that you roll a 5 on a six-sided die is start fraction one over six end fraction . the probability that you flip

Anastaziya [24]

Let event A be the coin landing on heads and let event B be rolling a 5 on a six-sided die.
Events A and B are independent if, and only if:
$P(A\cap B)=P(A)\times P(B)$
It is given in the question that the above condition for independence is met.
Also A and B are independent if:
P(A|B) = P(A)
P(A) = 1/2
Therefore the probability of flipping a coin and it landing on heads, given that you rolled a 5 on a six-sided die is 1/2. The two events are independent.

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3 years ago

Select the correct answer which type of function best models the data?

vitfil [10]

Answer:

D, liner function

Step-by-step explanation:

number of employees goes up every year. If graphed it would be a line.

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2 years ago

8 3/8 = r- 2 1/3 how do i solve this equation by finding out what r is.

BaLLatris [955]

First, convert your mixed numbers into improper fractions, so 8+3/8=69/8 and 2+1/3=7/3. Now you have 69/8=r-(7/3). Now, add 7/3 to both sides, so (69/8)+(7/3)=r. Now, just add your fractions, so (69/8)+(7/3)=207/24+56/24=(207+56)/24=263/24. If you need to, this can be converted back into the mixed number 10+23/24.

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3 years ago

What is the measure of A? And B

sladkih [1.3K]

Answer:

A = 72°

B = 108°

Step-by-step explanation:

5y - 3 = 3y + 27

5y - 3y = 27 + 3

2y = 30

y = 30/2

y = 15

A = 5y - 3

A = 5(15) - 3

A = 75 - 3

A = 72°

A + B = 180°

72° + B = 180°

B = 180° - 72°

B = 108°

7 0

3 years ago

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A circle is shown. 4 radii are drawn. Chords are drawn to connect the radii points on the circle to form 2 triangles. The triang

Rashid [163]

Answer:

Area of Shaded Region = (25π - 24) cm²

Step-by-step explanation:

See attachment

From the attached, the following observations are made;

Radius, r = 5cm

Base of triangles = 6cm.

Required

Area of shaded region.

If the distance between the base of the triangle to the outline of the circle is 1cm then the height of the triangle is 1cm less than the radius

Height = 5cm - 1cm

Height = 4cm

To calculate the area of the shaded region, we first calculate the area of the circle.

Area = πr²

Substitute 5 for r

Area = π * 5²

Area = π * 25

Area = 25π cm²

Then we calculate the area of both triangles

Area of 1 triangle is calculated as follows.

Area = ½ * base * height

Substitute 4 for height and 6 for base.

Area = ½ * 4 * 6

Area = 2 * 6

Area = 12cm²

Since both triangles are equal.

Area of two triangles = 2 * Area of 1 triangle

Area = 2 * 12cm²

Area = 24cm²

Having calculated the area of the circle and that of both triangles.

Area of shaded region = Area of Circle - Area of Triangles

Area of Shaded Region = 25π cm² - 24 cm²

Area of Shaded Region = (25π - 24) cm²

3 0

3 years ago

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