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Daniel [21]
2 years ago
15

A bulletin board measuring 28 dm long was divided among three subject areas in the ratio 2:2:3. How much space was alothed for e

ach subject.
Mathematics
1 answer:
Sphinxa [80]2 years ago
4 0

Answer: Space was alloted for each subject is 8 dm, 8 dm, 12 dm.

Explanation:

Since we have given the length of bulletin board =28 dm

Let the share of three subject areas be 2x,2x,3x

According to question,

2x+2x+3x=28\\7x=28\\x=\frac{28}{7}\\x=4dm

so x=4 dm

Now,

Space was alloted for each subject is given as below:

First subject =2x=2\times 4=8 dm

Second subject =2x=2\times 4=8 dm

Third subject =3x=3\times 4=12 dm

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One positive number is 5 times another number. The difference between the two numbers is 520, find the numbers.
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104 and 624

Step-by-step explanation:

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Which of the following sets could be the sides of a right triangle?
coldgirl [10]

Answer: Choice B) {3, 5, sqrt(34)}

=====================================

Explanation:

We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.

-----------

For choice A,

a = 2

b = 3

c = sqrt(10)

So,

a^2+b^2 = 2^2+3^2 = 4+9 = 13

but

c^2 = (sqrt(10))^2 = 10

which is not equal to 13 from above. Cross choice A off the list.

-----------

Checking choice B

a = 3

b = 5

c = sqrt(34)

Square each equation

a^2 = 3^2 = 9

b^2 = 5^2 = 25

c^2 = (sqrt(34))^2 = 34

We can see that

a^2+b^2 = 9+25 = 34

which is exactly equal to c^2 above. This confirms the answer.

-----------

Let's check choice C

a = 5, b = 8, c = 12

a^2 = 25, b^2 = 64, c^2 = 144

So,

a^2+b^2 = c^2

25+64 = 144

89 = 144

which is a false equation allowing us to cross choice C off the list.

7 0
2 years ago
use distributive property to simplify the expression 3 (8x + 2y) I need help with my algebra homework someone please help.
inysia [295]

6 \times (4 \times x + y)
4 0
3 years ago
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Novay_Z [31]
I agree with the person above, I also believe it is B, have a nice day, Merry Christmas
8 0
2 years ago
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