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solniwko [45]
3 years ago
5

Name the set(s) of numbers to which 1.18 belongs. rational numbers, irrational numbers natural numbers, whole numbers, integers,

rational numbers rational numbers Description
Mathematics
2 answers:
iren2701 [21]3 years ago
8 0

integers, rational numbers

anastassius [24]3 years ago
5 0
Use mathpapa site maybe it’ll help
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The area of the rhombus is 540 cm2; the length of one of its diagonals is 4.5 dm. What is the distance between the point of inte
malfutka [58]

1. The area of the rhombus can be found by the formula

A=\dfrac{d_1\cdot d_2}{2}, where d_1,\ d_2 are rhombus's diagonals.

Note that d_1=4.5\ dm=45\ cm, then

540=\dfrac{45\cdot d_2}{2},\\ \\540\cdot 2=45d_2,\\ \\d_2=24\ cm.

2. The diagonals of rhombus are perpendicular and are bisectors of each other. Then the triangle formed with halfs of diagonals is right triangles with legs

\dfrac{d_1}{2}=22.5\ cm,\ \dfrac{d_2}{2}=12\ cm.

The hypotenuse of this triangle is the rhombus's side. By the Pythagorean theorem

\text{rhombus's side}^2=(22.5)^2+12^2=506.25+144=650.25,\\ \\\text{rhombus's side}=25.5\ cm.

3. The distance between the point of intersection of the diagonals and the side of the rhombus is the height of right triangle considered above.

Use twice the Pythagorean theorem to find this height:

\left\{\begin{array}{l}x^2+h^2=12^2\\(25.5-x)^2+h^2=22.5^2,\end{array}\right.

where x is projection of leg 12 cm and h is height.

Subtract the first equation from the second:

(25.5-x)^2+h^2-x^2-h^2=22.5^2-12^2,\\ \\650.25-51x=506.25-144,\\ \\51x=650.25-362.25=288,\\ \\x=\dfrac{96}{17}\ cm.

Then

h^2=144-\left(\dfrac{96}{17}\right)^2=144-\dfrac{9216}{289}=\dfrac{32400}{289},\\ \\h=\dfrac{180}{17}\ cm.

Answer: h=\dfrac{180}{17}\ cm.

7 0
3 years ago
Read 2 more answers
During science class, Jack, Jeff, and Jill measure the length of their bean sprouts. Jeff’s sprout is 0.9 times the length of Ja
yKpoI14uk [10]

Answer:

Jill's is the longest.

if jeffs is 0.9 times the length of jacks, his is lesser than jacks. e.g. 2×0.9=1.8. Jeff's will always be shorter. since we know Jacks is over 1, Jill's will always be taller because 2×1.08=2.16 or Jill's length.

8 0
2 years ago
What is 2(3x-5) + 3(2x+3)​
Karolina [17]

Answer:

12x - 1

Step-by-step explanation:

Distribute the 2 and 3:

2(3x - 5) + 3(2x + 3)​

(6x - 10) + (6x + 9)

Add like terms:

12x - 1

So, the answer is 12x - 1

7 0
3 years ago
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Layla invests money in an account paying a simple interest of 6.4% per year. If she invests $120 and no money will be added or r
seropon [69]

Answer:

$127.68

Step-by-step explanation:

Rate= 6.4%

Principal= $120

Time = 1 year

Required

The final amount A

Step two

A=P(1+rt)

substitute

A=120(1+0.064*1)

A=120(1.064)

A=120*1.064

A=$127.68

Hence the final amount is $127.68

6 0
3 years ago
What is the difference between theoretical and experimental probability?
IRINA_888 [86]
Theoretical probability is  what you would expect  the result of an experiment would be. For example if you tossed a fair coin 10 times the theoretical result would be 5 heads and 5 tails, because  probabilty of 1 toss is 1/2 for tailand 11/2 for a head.

I practice however we might get , say, 6 heads and 4 tails 
So experimental probability of e head would be 6/10 and of a tail would be 4/10.

3 0
4 years ago
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