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3 years ago

Ms. Hernandez writes this expression on the board.

Mathematics

1 answer:

Ahat [919]3 years ago

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What is the altitude of a rhombus if its area is 50 square meters and the length on one side is 12.5 meters

SVETLANKA909090 [29]

Answer:

8 meters or 4 meters

Step-by-step explanation:

We know that for finding the area of a rhombus, there are two diagonal sides: one of which is 12.5 meters in length and the other one we'll assume to be y.

Then, we can write:

Area of rhombus = $\frac{1}{2} *12.5*y$

$50=\frac{1}{2} *12.5*y$

$y=\frac{100}{12.5}$

$y=8$ meters

If the sides of the rhombus are not internally diagonal, then we can simply use the following formula:

Area of rhombus = altitude * side

$50=a*12.5$

$a=4$ meters

3 0

3 years ago

Read 2 more answers

I need help with this question can you help me

Debora [2.8K]

Answer:

28.26ft

Step-by-step explanation:

A=πr^2

π*3^2=28.27433

28.26

6 0

3 years ago

Find the greatest common factor of the following monomial. 37x^3y^6 x^6y^2

nordsb [41]

37x^3y^6 and x^6y^2
greatest common factor: x^3y^2

7 0

3 years ago

On a certain day the temperature changed a rate of -3 degrees Fahrenheit per hour how long did it take for the temperature to ch

zhannawk [14.2K]

Answer: is 11 hours.

3 0

3 years ago

Let A be a set of numbers.

LUCKY_DIMON [66]

Answer:

a. closed under addition and multiplication

b. not closed under addition but closed under multiplication.

c. not closed under addition and multiplication

d. closed under addition and multiplication

e. not closed under addition but closed under multiplication

Step-by-step explanation:

Let A be a set of all integers divisible by 5.

Let $x,y$ ∈A such that $x=5m\,,\,y=5n$

Find $x+y,xy$

$x+y=5m+5n=5(m+n)$

So, $x+y$ is divisible by 5.

$xy=(5m)(5n)=25mn=5(5mn)$

So,

$xy$ is divisible by 5.

Therefore, A is closed under addition and multiplication.

Let A = { 2n +1 | n ∈ Z}

Let $x,y$ ∈A such that $x=2m+1\,,\,y=2n+1$ where m, n ∈ Z.

Find $x+y,xy$

$x+y=2m+1+2n+1=2m+2n+2=2(m+n+1)$

So,

$x+y$ ∉ A

$xy=(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1$

So,

$xy$ ∈ A

Therefore, A is not closed under addition but A is closed under multiplication.

$Let A=\{2,5,8,11,14,...\}$

Let $x=2,y=5$ but $x+y=2+5=7$ ∉A

Also,

$xy=2(5)=10$ ∉A

Therefore, A is not closed under addition and multiplication.

Let A = { 17n: n∈Z}

Let $x,y$ ∈ A such that $x=17n,y=17m$

Find x + y and xy

$x+y=17n+17m=17(n+m)$

$xy=(17m)(17n)=289mn=17(17mn)$

So,

$x+y,xy$ ∈ A

Therefore, A is closed under addition and multiplication.

Let A be the set of nonzero real numbers.

Let $x,y$ ∈ A such that $x=-1,y=1$

Find x + y

$x+y=-1+1=0$

So,

$x+y$ ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

Therefore, A is not closed under addition but A is closed under multiplication.

4 0

3 years ago

Ms. Hernandez writes this expression on the board. ​

Ms. Hernandez writes this expression on the board.