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nevsk [136]
3 years ago
9

Geometry question to verify it​

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

Step-by-step explanation:

here's the solution,

in the given figure , sum of all angles formed with O measures 360°

because, it forms a complete angle

so,

=》mPOQ + mQOR + mROS + mSOT + mTOP = 360°

=》mPOQ + mQOR + mROS + mSOT + mTOP = (90° × 4)

=》mPOQ + mQOR + mROS + mSOT + mTOP = 4 × right angle

(cuz.. right angle = 90°)

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Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remaind
Debora [2.8K]

Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

9a + 3b + 31 = 10 ( subtract 31 from both sides )

9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

a = 3 + b → (3)

Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

8 0
3 years ago
One kilogram is approximately equal to 2.21 pounds. Find the number of pounds in 165 kilograms. Round to the nearest tenth of a
Shtirlitz [24]

Answer: 364.7 pounds

Step-by-step explanation: Multiply the number of kilograms, 165, by the number of pounds per kilogram, 2.21.

165 x 2.21 = 364.65

Round to the nearest tenth.

364.7 pounds in 165 kilograms.

8 0
3 years ago
Ashley's mother tells her to see 3/5 of her dollar how much is that
oksian1 [2.3K]
Your answer will be D 0.60

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5 0
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What is the area of the pool?
IRISSAK [1]
The area is 336 is you multiply the outer numbers then subtract the numbers on the in side that's what you get
4 0
3 years ago
Write a proportion that can be used to find the cost of 10 notebooks if 3 notebooks cost $1.98.
Mariulka [41]
The solution to the problem is as follows:


For 3 notebooks you pay $1.98 so the ratio is 1:0.66.
For 10 notebooks, then we could scale the ratio and it will become 10:6.60. So they will cost you $6.60.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
4 0
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