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antiseptic1488 [7]
3 years ago
14

1- the diameter of a CD is 24 cm nearest to cm .find its upper and lower bound.

Mathematics
1 answer:
Tanya [424]3 years ago
4 0

Answer:

1) Lower bound = 23.5 cm

Upper bound = 24.5 cm

2) I disagree

3) 7.88

4) 2.32

5) Ahmed = 60 kg

Jasim = 20 kg

Dalal = 100 kg

Step-by-step explanation:

1) diameter = 24 cm was rounded up to the nearest cm.

Now, usually, we round up 0.5 to the next whole number. This means that, the actual diameter is;

23.5 ≤ D < 24.5

Thus;

Lower bound = 23.5 cm

Upper bound = 24.5 cm

2) If you weigh 57g,converting to kg is 0.57 kg.

Now, this does not fall in between 56.5kg and 57.5kg given.

Thus, I disagree that your weight could be anything between 56.5kg and 57.5kg .

3) 7.875 approximated to the nearest two decimal place = 7.88

4) 2.3242900000 to the nearest 2 decimal place = 2.32

5) 180 kd shared between ahmed ,jasim and Dalal in the ratio of 3:1:5.

Total part of ratio = 3 + 1 + 5 = 9

Their respective shares are;

Ahmed = 3/9 × 180 = 60 kg

Jasim = 1/9 × 180 = 20 kg

Dalal = 5/9 × 180 = 100 kg

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The diagonal diavides the rectangle into
Dafna11 [192]
Hmm, I'm pretty sure it's two right triangles.
7 0
3 years ago
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)Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the
konstantin123 [22]

Answer:

a=\sqrt{7}

\text{tan}(A)=\frac{\sqrt{7}}{3}

Step-by-step explanation:

Please find the attachment.

We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.  

To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.

a^2+b^2=c^2

Upon substituting our given values in Pythagoras theorem, we will get:

a^2+3^2=4^2

a^2+9=16

a^2+9-9=16-9

a^2=7

Take square root of both sides:

a=\sqrt{7}

Therefore, the length of side 'a' is \sqrt{7} units.

We know that tangent relates opposite side of a right triangle with adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

We can see that 'a' is opposite side of angle A and 'b' is adjacent side.

\text{tan}(A)=\frac{a}{b}

\text{tan}(A)=\frac{\sqrt{7}}{3}

Therefore, the value of tan(A) is \frac{\sqrt{7}}{3}.

3 0
3 years ago
I need Help plsss :)
mr_godi [17]

Answer:

Step-by-step explanation:

ab=ab (common)

angle d = angle c (isosceles prperty)

angle a = angle a (common)

there for the triangle is congruent so sides are congruent by CPCT

5 0
4 years ago
Helpppppp
Luden [163]
Alright, Part A. 
This would be 5x + 4x + 5x +4x = 360. This is because all the angles in a parallelogram add up to 360. The other two angles are not unknown, as they correspond with the known angles of 4x and 5x, thus we get all angles.

So add all angles together and we get 18x = 360. We then do x =360/18, thus x = 20. So the answer is C.

Now for the angles, we will have to do the value of the x (which is 20) multiplied by the coefficient (the number in front of the x). So we do 20*4 = 80 and 20*5 = 100. So the answer must be C.
8 0
4 years ago
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Plzzz help me I don't get it!!!!!
igor_vitrenko [27]
The answer is 4.

Explanation:

Well, let's break this into pieces.

First, let's work on the first term.

3^8 = 6,561
2^-5 = 1/2^5 = 1/32
9^0 = 1

Multiply all those together, and you get 6,561/32.

Then, if you set that fraction to the power of -2, you get 1,024/43,046,721

Now, let's take the middle term.

2^-2 = 1/4
3^3 = 27

Multiply them together to get 1/108.

Then, set the fraction to the power of 4 to get 1/136,048,896

Next, let's focus on the last term.

3^28 = 22,876,792,454,961

Finally, we have to multiply the terms together.

1,024/43,046,721 · 1/136,048,896 · 22,876,792,454,961

This equals 23,425,835,473,880,000/5,856,458,868,470,016, which can be simplified (quite nicely) to a final answer of 4.
4 0
4 years ago
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