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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.<br> 2(m + 11)<br> 0 24 m<br> O 2 m+ 22<br> O 2 m+ 11<br> O 22 m
krek1111 [17]

Answer:

2m + 22

Step-by-step explanation:

Use the distributive property.

2(m + 11)

2 x m = 2m

2 x 11 = 22

Therefore, 2m + 22

3 0
3 years ago
Translation: 6 units right and 3 units down<br> s(-3, 3), C(-1, 4), W(-2,-1)
sdas [7]
S (3, 0)
C (5, 1)
W (4, -4)

Explanation
You take the first number and add 6 to it and you get the new number and then you take the second number and subtract 3 from it

S: -3 + 6 = 3
S- 3 - 3 = 0

C: -1 + 6 = 5
C: 4 - 3 = 1

W: -2 + 6 = 4
W: -1 - 3 = -4
3 0
2 years ago
What is 851.64 in expanded notation?
navik [9.2K]
8 x 100 = 800
5 x 10= 50
1x1=    1
6 x 0.10= 0.6
4 x 0.01 = 0.04
              = 851.64
7 0
3 years ago
The area of the shaded region to the nearest tenth is __________.
goldfiish [28.3K]

Answer: 380 ft^2

Step-by-step explanation:

Length of sides of square=25

Diameter of semicircle=25

Radius=r=25/2=12.5

π=3.14

Area of square=length x length

Area of square=25 x 25=625

Area of semicircle=0.5 x π x r x r

Area of semicircle=0.5 x 3.14 x 12.5 x 12.5

Area of semicircle=245.3125

Area of shaded portion=area of square - area of semicircle

Area of shaded portion=625-245.3125

Area of shaded portion=379.6875

Area of shaded portion=380ft^2

approximately

4 0
3 years ago
Say that a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse. Find b if a = 21 and c =
maria [59]
When the triangle is a right triangle, you can use the Pythagorean theorem. The formula would be

c^2 = a^2 + b^2

If a = 21 and c=29, thus

b^2 = c^2 - a^2
b^2 = 29^2 - 21^2
b^2 = 400
b = square root (400)
b = 20 units. 

Thus, the answer is <span>D) B = 400</span>
5 0
3 years ago
Read 2 more answers
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