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Leto [7]
3 years ago
5

The width of a rectangle is 1 3/4 feet. The rectangle is 2 1/2 feet longer than it is wide. What is the length of the rectangle?

Mathematics
1 answer:
sp2606 [1]3 years ago
7 0

Answer:

length=4 1/4

Step-by-step explanation:

  1. 1 3/4 + 2 1/2
  2. convert 2 1/2 into 2/4 since 2 is half of 4
  3. add the converted number and 1 3/4 fractions
  4. 2/4 and 3/4 added will make 1 1/4
  5. add 1 1/4, 2 and 1 and it will equal 4 1/4
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The base of a triangle is 75 cm and its height is 12<br> 12 cm. Find its area.
lisabon 2012 [21]

Answer:

Here is your answer

Step-by-step explanation:

Solution,

here,

Base is 75 cm

Height is 12 cm

Now,

Area of triangle=1/2×b×h

=1/2×75×12

= 900/2

=450. ans

3 0
2 years ago
*Find the formula of the series 1+2²+3²+4²+....+n²*<br>​
Sophie [7]

The formula is \frac{n(n+1)(2n+1)}{6}

What are series?

In mathematics, we can describe a series as adding infinitely many numbers or quantities to a given starting number or amount.

We will find the formula as shown as below:

Let S=1+2^2+3^2+4^2+................+n^2

We know (n+1)^3=n^3+3n^2+3n+1

(1+1)^3=1^3+3(1)^2+3(1)+1

(2+1)^3=2^3+3(2)^2+3(2)+1

(3+1)^3=3^3+3(3)^2+3(3)+1

.

.

(n+1)^3=n^3+3(n)^2+3(n)+1

On adding

2^3+3^3+4^3......(n+1)^3=(1^3+2^3+3^3+.....+n^3)+3(1^2+2^2+.....+n^2)+3(1+2+3....n)+(1+1+1+....+1)

2^3+3^3+4^3......(n+1)^3-(1^3+2^3+3^3+.....+n^3)=3S+\frac{3n(n+1)}{2}+(1+1+1+....+1)

(n+1)^3-1^3=3S+\frac{3n(n+1)}{2} +n

n^3+3(n)^2+3(n)+1-1=3S+\frac{3n(n+1)}{2} +n

2n^3+6n^2+6n=6S+3n^2+3n+2n

6S=2n^3+3n^2+n

6S=2n^2(n+1)+n(n+1)

6S=(n+1)(2n^2+n)

6S=n(n+1)(2n+1)

S=\frac{n(n+1)(2n+1)}{6}

Hence, the formula is \frac{n(n+1)(2n+1)}{6}

Learn more about Series here:

brainly.com/question/24643676

#SPJ1

3 0
2 years ago
PLEASE HELP ME WITH THIS MATH PROBLEM!!
Leviafan [203]

Given : The Area of the Rectangle = x⁴ - 100

We know that : (a + b)(a - b) = a² - b²

⇒   x⁴ - 100 can be written as : (x²)² - (10)²

⇒   (x²)² - (10)² can be written as : (x² + 10)(x² - 10)

We know that, Area of a Rectangle is given by : Length × Width

Comparing (x² + 10)(x² - 10) with Area of the Rectangle formula, We can notice that :

⊕   Length = x² + 10

⊕   Width = x² - 10

Given : Length of the Rectangle is 20 units more than Width

⇒   Width + 20 = Length

⇒   x² - 10 + 20 = x² + 10

⇒   x² + 10 = x² + 10

<u>Answer </u>: x² - 10 represents the width of the rectangle. Because the area expression can be rewritten as (x² - 10)(x² + 10) which equals

(x² - 10)((x² - 10) + 20)

⇒   Option A

6 0
3 years ago
One angle measure in an acute triangle is 38°. What could the measure of one of the other angles be?
devlian [24]
Sum of all the angles in a triangle = 180 degrees.
it's given is an acute angle so <90
degrees now one is 38 the sum of other two would be 142 now here 27 is not possible because then the third angle, would be 115 degrees.

hope this help
8 0
3 years ago
Can someone help me with this??
guajiro [1.7K]

Answer:

24a^9b^4

Step-by-step explanation:

you would multiply 4a^2 and 24^a^7b^3.

7 0
3 years ago
Read 2 more answers
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