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Goshia [24]
3 years ago
15

A parallelogram has an area of 216.24 cm 2 2 and a height of 15.9 cm. How long is the base of the parallelogram? Enter your answ

er as a decimal in the box.
Mathematics
2 answers:
Yuri [45]3 years ago
8 0
It  would by 13.6 because 13.6 * 15.9 = 216.24
Studentka2010 [4]3 years ago
5 0
The base would by 13.6 because 13.6 * 15.9 = 216.24
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Find the value of a and b if root3-1/root3+1+ root3+1/root3-1=a+root3 b​
Digiron [165]

Answer:

a=4 and b = 0

Step-by-step explanation:

Given : \dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b

To find, The value of a and b

Solution,

Solving LHS of the given equation,

\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b

Since,

(a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2

So,

\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b

or

4+0=a+\sqrt 3 b

On comparing we get :

a = 4 and b = 0

4 0
3 years ago
F(x){3/4x+2 If x≠2<br> {-4. If x=2 <br> Whats f(-5), f(2),f(4)
satela [25.4K]

The values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.

<h3>What is a function?</h3>

A function is a rule or expression showing the relationship between a dependent and independent variable.

We have the function to be;

f(x) = 3/ 4(x + 2)

Let's find f(-5), substitute the value of x as -5

f(-5) = 3/ 4 ( -5 + 2)

f(-5) = 3/ 4 × -3

f(-5)  = -1/ 4

f(2), substitute the value of x as  2

f(2) = 3/ 4(2 + 2)

f(2) = 3/ 4 (4)

f(2) = 3/ 16

f(4) = 3/ 4 ( 4 + 2)

f(4) = 3/ 4(6)

f(4)  = 3/ 8

Thus, the values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.

Learn more about functions here:

brainly.com/question/4025726

#SPJ1

7 0
2 years ago
245 500 1,010 2,030<br> The sequence above can be expressed
erma4kov [3.2K]

Answer:

12

Step by Step Explanation:

f(n+1) = 2f(n) + 10

a = 2, k = 10

a + k = 2 + 10 = 12

7 0
3 years ago
Read 2 more answers
Choose the best description of the following number 18
Mrac [35]

Answer:

4.243

step by step explanation:

5 0
3 years ago
last year 950 people attended a towns annual parade. this year 1,520 people attended what was the percent increase in attendance
inessss [21]
<span>To calculate the percentage increase: First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100.
1520-950=570
570÷950= 0.6 × 100=60%


</span>
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3 years ago
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