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nadezda [96]
3 years ago
14

What is the area of OA to the nearest tenth? (Use 3.14 for T.)

Mathematics
1 answer:
lana66690 [7]3 years ago
5 0

Answer:

50.2 m²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius , here r = 4 ), thus

A = π × 4² = 16π = 16 × 3.14 ≈ 50.2 ( to the nearest tenth )

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In figure AB and CD bisect each other at O. State the 3 pairs of equal parts in ∆AOC and ∆BOD. Is ∆AOC ≅ ∆BOD? Give reasons
GuDViN [60]

Answer:

SEE EXPLANATION

Step-by-step explanation:

In\:\triangle AOC \:\&\:\triangle BOD

AO \cong OB.... (given)

\angle AOC \cong\angle BOD

(vertical \: \angle s)

CO \cong OD.... (given)

\therefore \triangle AOC \:\cong\:\triangle BOD

(SAS \: postulate)

So, the 3 pairs of equal parts in ∆AOC and ∆BOD are:

AC = BD

m\angle OAC = m\angle OBD

m\angle OCA = m\angle ODB

7 0
3 years ago
Determine the discriminant for the given equation x^2+4x+5=0. Then describe the roots(how many and what type).
Fed [463]

Discriminant = b^2 - 4ac, where a, b and c come from the form of the quadratic equation as ax^2 + bx + c

Discriminant = (4)^2 - 4(1)(5)
= 16 - 20
= -4

-4 < 0, therefor there are no roots

(If the discriminant = 0, then there is one root
If the discriminant > 0, there are two roots, and if it is a perfect square (eg. 4, 9, 16, etc.) then there are two rational roots
If the discriminant < 0, there are no roots)
3 0
4 years ago
Mark can remember only the first 4 digits of his friend's phone number. He also knows that the number has 7 digits and that the
denis-greek [22]

Answer:

<em>19800 seconds, or 330 minutes, or 5 hours + 30 minutes</em>

Step-by-step explanation:

<u>Number Permutations</u>

We know the phone number has 7 digits, 4 of which are known by Mark. This leaves him 3 digits to guess with. We also know the last one is not zero. The number can be represented as

XXY

Where X can be any digit from 0 to 9 and Y can be any digit from 1 to 9. The first two can be combined in 10x10 ways, and the last one can be of 9 ways, this gives us 10x10x9 = 900 possible permutations.

If each possible number takes him 22 seconds, every possibility will need

22x900=19800 seconds, or 330 minutes, or 5 hours + 30 minutes

3 0
3 years ago
The ratio of the perimeters of two similar polygons is 5:9. What is the ratio of the areas?​
lyudmila [28]

The ratio of the areas of the two polygons can be 25:45

Just Multiply the two give numbers by 5 and you get the answer.

6 0
3 years ago
Read 2 more answers
What is the equation of a line that models wages with a slope of 15 that passes through the point (5, 90)?
Klio2033 [76]
Hello : 
<span>the equation is : 
y - 90 = 15(x - 5)</span>
3 0
3 years ago
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