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kobusy [5.1K]
3 years ago
14

A rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the he

ight of the rhombus.
I got stuck repeatedly, so hoping someone out there can help me out.. if not, then, oh well.
Mathematics
1 answer:
Arada [10]3 years ago
7 0
You will find the area the square and then find out what 4/5 of that area is.

A = bh
     6 cm x 6 cm 
A = 36 square cm

4/5 of 36 square cm
4/5 x 36
28 4/5 square cm

The area of the rhombus is 28 4/5 square cm.  Use this to solve for the height of the rhombus.

A = bh
<u>28 4/5</u> = <u>6 x h</u>
6            6
h = 4 4/5 cm

The height of the rhombus is 4 4/5 cm.
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Find the least common multiple for 6(x+1)^3(x-4)^2 and 10(x+1)^8(x-4)^5
dolphi86 [110]

Answer:

30(x+1)^8 (x-4)^5

Step-by-step explanation

<h3>6(x+1)^{3}(x-4))^{2}=2X3 X (x+1)^3(x-4)^2\\10(x+1)^8(x-4)^5)= 2X5X(x+1)^8 (x-4)^5\\</h3>

In order to find the Least common multiple we write each of the factor only once from each of the expression and for the common expression we take their LCM as maximum of the exponent in  all expressions

as here in the question exponent of (x+1) are 3 and 8 so we take exponent 8

likewise for (x-4) we shall take maximum of 2 and 5 which is 5

so our expression for Least common multiple will be

2X3X5 X (x+1)^8 (x-4)^5

30(x+1)^8 (x-4)^5

7 0
3 years ago
When writing a linear equation in standard form, what other forms might you need to use?
wlad13 [49]

Answer:

there are 2 other forms, point-slope form and slope-intercept form.

Step-by-step explanation:

standard is Ax + By =C

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5 0
3 years ago
Read 2 more answers
What is "A number decreased by 4 is less than 14" written as an inequality?
navik [9.2K]

Answer:

"A number decreased by 4 is less than 14" written as an inequality is x - 4 < 14

Step-by-step explanation:

First: Figure out what a number decreased by 4 is.

Well, a number decreased by 4, how would that look like? To find out, we should look for some key words in the term. So, I will bold out the keywords in the term this time:

A number decreased by 4

That word 'decreased' gives us a hint. Out of the four basic operations (addition, subtraction, multiplication and division), 'decreased' fits into the subtraction category best. So we can replace 'decreased' with a minus sign. Since we don't know the specific value of 'A number', we will assign it a variable, the variable x. 4 is just 4 so we can leave that number alone. So the first term would look like this:

A number decreased by 4 = x - 4

Second: Since we know what the first term is, we need to find out what the second term is and the inequality sign.

This step is quite easy. Let's tackle the inequality sign first:

A number decreased by 4 is less than 14

The only words that would describe an inequality sign are the words: 'less than'. The less than sign looks like this: <

Fourteen [just like four] is just a number so we don't need to change that

So our final product is this: x - 4 < 14

Thank you for reading.

Topic: Inequalities

6 0
3 years ago
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