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Marrrta [24]
2 years ago
15

25 points

Mathematics
1 answer:
ohaa [14]2 years ago
8 0

Answer:

y ≈ 12.6

Step-by-step explanation:

the angle between a tangent and the radius of the circle at the point of contact is 90°

then the triangle with y as a leg is right.

using Pythagoras' identity in the right triangle.

y² + 39² = 41²

y² + 1521 = 1681 ( subtract 1521 from both sides )

y² = 160 ( take square root of both sides )

y = \sqrt{160} ≈ 12.6 ( to the nearest tenth )

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Simplify the expression (3+i) + (5-2i) and write the result in the form a + bi
storchak [24]
Remove unnecessary parenthesis, and combine like terms
(3+i) +  (5-2i)

3+i   +  5-2i

8+i



you added 3+5 which is 5 and i-2i which is "i"

hope this helps.

6 0
3 years ago
Read 2 more answers
Which statements are true about the parallelograms? Select three options.
Jet001 [13]

Answer:

These are the properties of a parallelogram

• Opposite angles are equal

• The sum of all the angles is equal to 360 degrees

• Opposite angles are equal

• When the diagonals of a parallelogram are drawn, they bisect each other

• When a diagonal is drawn to separate the parallelogram into two, the two separate sides are equal when compared

• The sum of two adjacent angles in parallelogram is equal to 180 degrees

Step-by-step explanation:

For example,

Opposite angles (A and  D) and (B and C) are equal

The sum of all the angles give 360 degrees,  angles A + B + C + D = 360

Side AB is equal to side CD  (/AB/ = /CD/)

The sum of adjacent angles A and C gives 180  [angles (A + C ) = 180]

Choose the option similar to any of these properties in the question

6 0
3 years ago
Pls help on both of these
Makovka662 [10]

Answer:

power of products

Step-by-step explanation:

just multiplied the powers

6 0
3 years ago
PQRS is a parallelogram and T is the mid point of PQ if ar PTRS=24 cm^2, find the area of PQR​
Lady_Fox [76]

Answer:

24 sq cm

Step-by-step explanation:

According to theorem of area if parallelogram and triangle, if the triangle and a parallelogram lie between two parallel line and their base is same then, the area of triangle is half of the area of the parallelogram. so here the parallelogram PTRS and the triangle PTR lie between same parallel lines PT and RS and base is also same PT. so area of PTR is 12sq cm. Again, triangles PTR and TRQ lie between same parallel lines PQ and SR and same base PQ. so their area also same that is 12 sq cm. Now, area of PQR = area of PTR + area of TRQ = 12 + 12 sq cm = 24 sq cm.

5 0
4 years ago
A carpenter is refinishing two cupboards. She must add the areas of the cupboards to determine the amount of plywood she needs.
Vesna [10]

You are given the area of both cupboards.

The total area would be found by adding the two areas together:

3a^2 − 5y + 15 + 4a^2 + 5y + 5

Combine like terms:

3a^2 + 4a^2 = 7a^2

-5y + 5y = 0y

15 +5 = 20

The area of both cupboards would be 7a^2+20

5 0
4 years ago
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