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Sever21 [200]
3 years ago
13

If 5r + 6 < 36, then a) r<6 b) r<8 c) r<12 d) r<30 e) not given

Mathematics
1 answer:
Irina18 [472]3 years ago
4 0
The answer is r<6

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What is the permeter of square ABCD?
marshall27 [118]

Answer:

24.3 units (3 s.f.)

Step-by-step explanation:

Since a square has 4 equal sides,

perimeter of ABCD= 4(length of AB)

Distance between 2 points

=\sqrt{(y1 - y2)^{2} + (x1 - x2)^{2}  }

Length of AB

=  \sqrt{( { - 2 - 4)}^{2}  +  {(2 - 3)}^{2} }  \\  =  \sqrt{( - 6)^{2}  + (  - 1)^{2} }  \\  =  \sqrt{37}

perimeter of ABCD

= 4 \sqrt{37}  \\  = 24.3 \: units \: (3 \: s.f.)

7 0
3 years ago
(2 x 10) + (9 x 1) + (7 x 1/10) + (8x 1/1000) in standard form
Pepsi [2]

Answer:The number is 209.708

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A contractor is checking the height of the frame for a building his company is constructing. He stands at some distance from the
tatiyna

Answer:

  about 102 feet

Step-by-step explanation:

From the definition of the cotangent function, we can write ...

  h·cot(α1) = d1

  h·cot(α2) = d2

Where h is the building height and (α1, d1), (α2, d2) are (elevation angle, distance from the building) for the two cases.

We have d2 - d1 = 10 ft, so ...

  h(cot(68°) -cot(73°)) = 10 ft

  h = (10 ft)/(cot(68°) -cot(73°)) ≈ (10 ft)/(0.404026 -0.305731) ≈ 101.73 ft

The building is about 102 feet tall.

4 0
3 years ago
Is 4.32332333... a rational or irrational​ number?
amid [387]

It is an irrational number, as it is neither terminating nor non-terminating recurring.

6 0
3 years ago
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What is the surface area of the rectangular pyramid below?
Sidana [21]

Answer:

Option (A). 363 units²

Step-by-step explanation:

Surface area of the rectangular pyramid = Area of the rectangular base + Area of the lateral sides of the pyramid

Area of the rectangular base = Length × Width

                                                = 11 × 11

                                                = 121 units²

Area of the lateral sides = 4(Area of one lateral side)

                                        = 4[\frac{1}{2}(\text{Base})(\text{Height})]

                                        = 2(11)(11)

                                        = 242 square units

Area of the rectangular pyramid = 121 + 242

                                                      = 363 square units

Therefore, Option (A) will be the answer.

3 0
3 years ago
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