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ehidna [41]
3 years ago
6

Find the length of AB? Round to the nearest tenth

Mathematics
1 answer:
aev [14]3 years ago
5 0

Answer:

AB ≈ 8.5

Step-by-step explanation:

a^{2} + b^{2} = c^{2} \\\\c = \sqrt{a^{2} + b^{2} } \\\\c = \sqrt{6^{2} + 6^{2} } \\\\c = \sqrt{36 + 36 } \\\\c = \sqrt{72 } \\\\c = 8.48528137424 \\

c ≈ 8.5

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5 of 8
aleksandr82 [10.1K]

Given:

The mean age of 5 people in a room is 26 years.

A person enters the room. The mean age is now 33.

To find:

The age of the person who entered the room.

Solution:

Formula for mean:

\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}

The mean age of 5 people in a room is 26 years.

26=\dfrac{\text{Sum of ages of 5 people}}{5}

26\times 5=\text{Sum of ages of 5 people}

130=\text{Sum of ages of 5 people}

The mean age is now 33. It means, the mean age of 6 people is 33.

33=\dfrac{\text{Sum of ages of 6 people}}{6}

33\times 6=\text{Sum of ages of 6 people}

198=\text{Sum of ages of 6 people}

Now, the age of the person who entered the room is

Required age = Sum of ages of 6 people - Sum of ages of 5 people

                       = 198-130

                       = 68

Therefore, the age of the person who entered the room is 68 years.

6 0
3 years ago
Tyrell read 72 pages in 2 hours. At this rate, how many hours will it take him to read 285 pages?
juin [17]
It will take Tyrell about 4 hours.
4 0
3 years ago
Evaluate the expression. (38 + 10) ÷ 12 + 52
Mice21 [21]
48/12=4
4+52=56
Answer 56
4 0
2 years ago
Read 2 more answers
How you know that the values of the digit in the numbers 1500,000 and 100,500 ate not the same
Sliva [168]

In this number 1500,000,

1 is at million place and 5 is at hundred thousand place

So, the value of 1 = 1 (1,000,000) = 1 million

And the value of 5  = 5 (100,000 ) = 500,000 = Five hundred thousand

In the second number 100,500

1 is at hundred thousand place and 5 is at hundred place

The value of 1 = 1 (100,000) = 100,000 = Hundred thousand

And the value of 5  = 5 (100 ) = 500 = Five hundred

Since the digits 1 and 5 both are at different places in both the numbers so 1,500,000 and 100,500 are not the same.

6 0
3 years ago
Complete the transformations below. Then enter the final coordinates of the figure.
9966 [12]

Answer:

Step-by-step explanation:

If a point (x, y) is translated by 4 units horizontally right and 1 unit upwards, coordinates of the image point will be,

(x, y) → (x + 4. y + 1)

Therefore, vertices of the image triangle ABC will be,

A(2, 2) → A'(2+4, 2+1)

           → A'(6, 3)

B(5, -1) → B'(5+4, -1+1)

           → B'(9, 0)

C(1, -2) → C'(1+4, -2+1)

           → C'(5, -1)

Then reflected across y-axis.

Rule for the reflection across y-axis will be,

(x, y) → (-x, y)

A'(6, 3) → A"(-6, 3)

B'(9, 0) → B"(-9, 0)

C'(5, -1) → C"(-5, -1)

7 0
3 years ago
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