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2 years ago

If RB = 4 and OR = 3, then OB = 5 7 2√3

Mathematics

2 answers:

pogonyaev2 years ago

5 0

The complete question in the attached figure

we know that

triangle OBR is a right triangle
so
applying the Pythagorean theorem

OB²=OR²+RB²----> OB²=3²+4²-----> 25
OB=√25-----> OB=5 units

the answer is
OB=5 units

LekaFEV [45]2 years ago

5 0

Answer:

OB = 5 units

Step-by-step explanation:

OPtion I is right

Given in the picture is a circle.

AB is a chord, O is the centre of the circle

OR is drawn perpendicular to AB.

Given that OR =3, and RB =4

Since ORB is a right triangle with known legs we can find the hypotenuse OB using Pythagorean theorem

$OB^2=OR^2+RB^2=3^2+4^2 =25\\OB =5$

Hence radius of the circle = 5 units.

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Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location. How fa

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To solve this problem you must apply the proccedure shown below:

1. We know that 1 yard is 36 inches, therefore, 50 yards expressed in inches is:

$(50)(36)=1800in$

2. If he is 50 yards from school and the map shows that the school is 34 inches from his current location, when it shows 3 inches the real distance is:

$\frac{(1800in)(3in)}{34in}=158.82in$

3. If you can to express it in yards:

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Therefore, the answer is: 158.82 inches or 4.41 yards.

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2 years ago

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If a new star appeared in our solar system that was larger and heavier than the Sun, the planets would MOST LIKELY

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Answer:

Step-by-step explanation:

I think that the planets will keep orbiting the sun but i think the planets might cross paths with the new star.

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2 years ago

Last year your professor wanted to study the pattern in class grades. The following table contains a sample of grades collected

Maslowich

Answer:

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

Step-by-step explanation:

Mean:-

The mean (average) is found by adding all of the numbers together and dividing by the number of items and it is denoted by x⁻

mean = $\frac{64+80+75+98+75}{5}$

mean (x⁻ ) = 78.4

The mean of the given data = 78.4

Median:

The median is found by ordering the set from lowest to highest and finding the exact middle.

64 ,75, 80, 98

The middle term of the given data set = $\frac{75+80}{2} =77.5$

Mode :

The mode is the most common repeated number in a data set.

64 ,75, 75, 80, 98

in data the most common number = 75

Conclusion:-

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

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2 years ago

Line l has a slope of 2. The line through which of the following pair of points is perpendicular to l?

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Answer:

Step-by-step explanation:

If two lines are perpendicular, the products of their slopes will be -1. Therefore, we're looking for a line with slope of -1/2. Let's check each answer:

A: 5 - 3 / (-2 - 3) = 2 / -5

B: 6 - 5 / 6 - 5 = 1

C: 5 - 3 / 4 - 3 = 2

D: 4 - 3 / 3 - 5 = -1/2

The answer is D.

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2 years ago

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A triangle ABC is inscribed in a circle, such that AB is a diameter. What are the measures of angles of this triangle if: measur

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Answer:

The measures of angles of this Δ are 23° , 67° , 90°

Step-by-step explanation:

* Lets talk about some facts in the circle

- An inscribed angle is an angle made from points sitting on the

circle's circumference

- A central angle is the angle formed when the vertex is at the center

of the circle

- The measure of an arc of a circle is equal to the measure of the

central angle that intercepts the arc.

- The measure of an inscribed angle is equal to 1/2 the measure of

its intercepted arc

- An angle inscribed across a circle's diameter is always a right angle

- The triangle is inscribed in a circle if their vertices lie on the

circumference of the circle, and their angles will be inscribed

angles in the circle

* Now lets solve the problem

- Δ ABC is inscribed in a circle

∵ its side AB is a diameter of the circle

∵ Its vertex C is on the circle

∴ ∠C is inscribed and across the circle's diameter

∴ ∠C is a right angle

∴ m∠C = 90°

∵ The measure of arc BC = 134°

∵ ∠A is inscribed angle subtended by arc BC

∵ The measure of an inscribed angle is equal to 1/2 the measure

of its intercepted arc

∴ m∠A = 1/2 × 134° = 67°

∵ The sum of the measures of the interior angles of a triangle is 180°

∵ m∠A = 67°

∵ m∠C = 67°

∵ m∠A + m∠B + m∠C = 180°

∴ 67° + m∠B + 90° = 180°

∴ 157° + m∠B = 180° ⇒ subtract 157 from both sides

∴ m∠B = 23°

* The measures of angles of this Δ are 23° , 67° , 90°

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