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Reika [66]
2 years ago
14

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
<span>applying the Pythagorean theorem

</span>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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On a coordinate plane, a piecewise function has 3 lines. The graph shows cleaning time in hours on the x-axis and total cost in
sveta [45]

Answer:

  C. (2, 6] hour jobs cost $100

Step-by-step explanation:

Let's consider each of these statements in view of the graph:

  1. A cleaning time of 2 hours will cost $100. -- The closed circle at (2, 50) tells you the cost of a 2-hour job is $50, not $100.
  2. A cleaning time of 6 hours will cost $150. -- The closed circle at (6, 100) tells you the cost of a 6-hour job is $100, not $150.
  3. Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours. -- The line between the open circle at (2, 100) and the closed circle at (6, 100) tells you this is TRUE.
  4. Cost is a fixed rate of $200 for jobs that require at least 6 hours. -- "At least 6 hours" means "greater than or equal to 6 hours." The closed circle at (6, 100) means a 6-hour job is $100, not $200.

3 0
2 years ago
Which rational number represents a decrease in water level from 8 feet to 6 feet???
cestrela7 [59]

Answer:

C) -2

Step-by-step explanation:

8 + (-2) = 6

6 0
2 years ago
Read 2 more answers
Ronald owns a fish tank on thr shape of a rectangular box. The tank is 18 inches high, 14 inches deep, and 30 inches long. Ronal
mash [69]

Answer: 2,004\ in^2

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

Based on the information given in the exercise, you can draw the fish tank attached, where the dimensions are: 18 inches high (h=18\ in), 14 inches deep (w=14\ in), and 30 inches long (l=30\ in).  

The area that was convered will be the sum of the areas of all the faces, but the top of the tank.

Therefore, the area that was convered is the following:

A=(30\ in)(18\ in)+(30\ in)(18\ in)+(18\ in)(14\ in)+(18\ in)(14\ in)+(30\ in)(14\ in)\\\\A=2(30\ in)(18\ in)+2(18\ in)(14\ in)+(30\ in)(14\ in)\\\\A=2,004\ in^2

5 0
2 years ago
Why did the paper rip when the student tried to stretch out the horizontal axis of his graph? Unscramble this letters to figure
Fynjy0 [20]
Tension seems the obvious answer here, but then we are left with x. Since the horisontal line on a graph is 'x'. The answer appears to be Tension X (Tension on X axis. Hope this helps.
8 0
2 years ago
Read 2 more answers
(Ross 5.15) If X is a normal random variable with parameters µ " 10 and σ 2 " 36, compute (a) PpX ą 5q (b) Pp4 ă X ă 16q (c) PpX
pochemuha

Answer:

(a) 0.7967

(b) 0.6826

(c) 0.3707

(d) 0.9525

(e) 0.1587

Step-by-step explanation:

The random variable <em>X</em> follows a Normal distribution with mean <em>μ</em> = 10 and  variance <em>σ</em>² = 36.

(a)

Compute the value of P (X > 5) as follows:

P(X>5)=P(\frac{x-\mu}{\sigma}>\frac{5-10}{\sqrt{36}})\\=P(Z>-0.833)\\=P(Z

Thus, the value of P (X > 5) is 0.7967.

(b)

Compute the value of P (4 < X < 16) as follows:

P(4

Thus, the value of P (4 < X < 16) is 0.6826.

(c)

Compute the value of P (X < 8) as follows:

P(X

Thus, the value of P (X < 8) is 0.3707.

(d)

Compute the value of P (X < 20) as follows:

P(X

Thus, the value of P (X < 20) is 0.9525.

(e)

Compute the value of P (X > 16) as follows:

P(X>16)=P(\frac{x-\mu}{\sigma}>\frac{16-10}{\sqrt{36}})\\=P(Z>1)\\=1-P(Z

Thus, the value of P (X > 16) is 0.1587.

**Use a <em>z</em>-table for the probabilities.

8 0
2 years ago
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