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Kitty [74]
3 years ago
11

A circle has an area of 1075.21 m^2 What is the radius to the nearest 1 decimal x.x

Mathematics
1 answer:
Sindrei [870]3 years ago
7 0
Area of circle = πr²

1075.21 = πr²

1075.21/π = r²

r = √1075.21/π

r = 18.5
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5/6 plus blank equals to 5/2
Tju [1.3M]

Answer:

\frac{5}{3}

Step-by-step explanation:

let blank be O

\frac{5}{6} +O=\frac{5}{2} \\

O=\frac{5}{2} -\frac{5}{6} =\frac{15}{6} -\frac{5}{6} =\frac{10}{6} =\frac{5}{3}

8 0
3 years ago
1. Based on the information given, can you determine that the quadrilateral must be a
zhenek [66]

<u>Solving Q1: Given BE = ED and AE = EC.</u>

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)


Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)


Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

<u>Solving Q2: The parallelogram has the angle measures shown in the diagram.</u>

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0
3 years ago
SOLVE ALL THESE EQUATION BY USING THE METHOD SUBSTITUTION ALGEBRAICALLY HERE'S ARE ALL THE EQUATION:
pav-90 [236]

Answer:

See below ~

Step-by-step explanation:

<u>Question 1</u>

  • -7x - y = -1
  • y = 8x + 16

⇒ -7x - (8x + 16) = -1

⇒ -7x - 8x - 16 = -1

⇒ -15x = 15

⇒ x = -1

⇒ y = 8(-1) + 16 = 8

⇒ Solution = <u>(-1, 8)</u>

<u></u>

<u>Question 2</u>

  • 3x + 4y = 0
  • y = -3x - 18

⇒ 3x + 4(-3x - 18) = 0

⇒ 3x - 12x - 72 = 0

⇒ -9x = 72

⇒ x = -8

⇒ y = -3(-8) - 18 = 6

⇒ Solution = <u>(-8, 6)</u>

<u>Question 3</u> (not clear)

<u>Question 4</u>

  • -8x - 7y = 0
  • y = 6x

⇒ -8x - 7(6x) = 0

⇒ -8x - 42x = 0

⇒ -50x = 0

⇒ x = 0

⇒ y = 6(0) = 0

⇒ Solution = <u>(0, 0)</u>

<u>Question 8</u>

  • 2x - 6y = -14
  • y = -5x - 19

⇒ 2x - 6(-5x - 19) = -14

⇒ 2x + 30x + 114 = -14

⇒ 32x = -128

⇒ x = -4

⇒ y = -5(-4) - 19 = 1

⇒ Solution = <u>(-4, 1)</u>

3 0
2 years ago
A recursive rule for a geometric sequence is
LuckyWell [14K]

Answer:

C. a_n=(9)(\frac{2}{3})^{n-1}

Step-by-step explanation:

Iterative geometric sequence:

a_n=a_1x^{n-1}

Recursive geometric sequence:

a_n=xa_{n-1}

The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:

a_n=(9)(\frac{2}{3})^{n-1}

And so the answer is C.

5 0
2 years ago
Last month, a manufacturing company shipped 452 boxes of ball bearings.Each box contains 48 balls bearings. How many ball bearin
Arturiano [62]

Answer: the company shipped 21,696 ball bearings.

Step-by-step explanation:

Each box contains 48 balls bearings  and the company shipped 452 boxes, so it is a simple multiplication 452 times 48 = 21,696

6 0
3 years ago
Read 2 more answers
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