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2 years ago

PLS ANSWER I WILL MARK AS BRAINLIST

Mathematics

1 answer:

marysya [2.9K]2 years ago

8 0

Answer:

Option 3

Step-by-step explanation:

This may not be the most efficient way, but I solved each one and option 3 had the same answer as the question.

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aalyn [17]

Answer:

A. 1/12

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3 years ago

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B) T is due north of C, calculate the bearing of B from C

choli [55]

Answer:

(a) 52°

(b) 322°

Step-by-step explanation:

(a) The details of the circle are;

The diameter of the circle = AOC

The center of the circle = Point O

The point the line AT cuts the circle = Point B

The point the tangent PT touches the circle = Point C

Angle ∠COB = 76°

We have that angle AOB and angle COB are supplementary angles, therefore;

∠AOB + ∠COB = 180°

∠AOB = 180° - ∠COB

∴ ∠AOB = 180° - 76° = 104°

∠AOB = 104°

OA = OB = The radius of the circle

Therefore, ΔAOB = An isosceles triangle

∠OAB = ∠OBA by base angles of an isosceles triangle are equal

∠AOB + ∠OAB + ∠OBA = 180° by angle summation property

∴ ∠AOB + ∠OAB + ∠OBA = ∠AOB + ∠OAB + ∠OAB = ∠AOB + 2×∠OAB = 180°

∠OAB = (180° - ∠AOB)/2

∴ ∠OAB = (180° - 104°)/2 = 38°

∠TAC = ∠OAB = 38° by reflexive property

AOC is perpendicular to tangent PT at point C, by tangent to a circle property, therefore;

∠TCA = 90° and ΔTCA = A right triangle

∠TAC + ∠ATC + ∠TCA = 180° by angle sum property

∠ATC = 180° - (∠TAC + ∠TCA)

∴ ∠ATC = 180° - (38° + 90°) = 52°

Angle ATC = 52°

(b) In ΔABC, ∠ABC = Angle subtended by the diameter = 90°

∴ ΔABC = A right triangle

∠ABC and ∠TBC are supplementary angles, therefore;

∠ABC + ∠TBC = 180°

∠TBC = 180° - ∠ABC

∴ ∠TBC = 180° - 90° = 90°

∠TCB = 180° - (∠TBC + ∠ATC)

∴ ∠TCB = 180° - (90° + 52°) = 38°

The bearing of B from C = (360° - 38°) = 322°.

7 0

2 years ago

(5 sqr3 i)^2<br> i’m supposed to simplify it but i don’t understand how???

Brilliant_brown [7]

Answer:

-15625

Step-by-step explanation:

Import this equation onto Symbolab and It will show you all the steps for free.

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2 years ago

you sit down to take a true or false test with 7 questions. If you randomly guess on all questions, how many possible outcomes a

kozerog [31]

Answer: 128

I just took the quiz on apex

Trust me

6 0

3 years ago

Could 7.7 cm , 4.0 cm , 7.7 cm,4.0 cm,7, point, 7, start text, space, c, m, end text, comma, 4, point, 0, start text, space, c,

Lyrx [107]

Answer:

With given side lengths a triangle <u>could not</u> be created.

Step-by-step explanation:

Given:

First side length = 7.7 cm

Second side length = 4.0 cm

Third side length = 1.7 cm

We need find whether this could be the side length of the triangle.

Solution:

Now we know that;

By Triangle In equality property which states that;

"Sum of the two side length of the triangle must be greater than third side."

It should fulfill all three conditions;

So we will find the same.

Condition 1:

First Side + Second Side > Third side

$7.7+4.0>1.7\\\\11.7>1.7$

Hence This condition is true.

Condition 2:

Second side + Third Side > First side

$4.0+1.7>7.7\\\\5.7>7.7$

Hence This condition is False.

Condition 3:

First side + Third Side > Second side

$7.7+1.7>4.0\\\\9.4>4.0$

Hence This condition is true.

Since One of the condition is false hence With given side lengths a triangle could not be created.

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3 years ago

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