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3 years ago

Find the value x in the figure :

Mathematics

2 answers:

Mumz [18]3 years ago

6 0

<h3>Answer:</h3>

x = 3

<h3>step-by-step explanation:</h3>

Perimeter of rectangle = 2 ( l + b )

Where, we have

breadth is ( x + 6 ) cm
length is ( x + 2 ) cm
Perimeter is 26 cm.

substitute the values

28 cm = 2 ( ( x + 2) + ( x + 6 ))

28 cm = 2 ( x + 2 + x + 6 )

combine like terms

28 cm = 2 ( 2 x + 8 )

distributing 2 through parantheses

28 cm = 2 × 2x + 2 × 8
28 cm = 4x + 16

subtract 16 from both side

28 cm - 16 = 4x + 16 - 16
12 cm = 4x

divide both side by 4

12 cm / 4 = 4 x / 4
3 cm = x

Leno4ka [110]3 years ago

5 0

Answer:

${ \bf{perimeter = 2(length + width}} \\ \\ { \tt{28 = 2((x + 2) + (x + 6))}} \\ \\ 14 = 2x + 8 \\ 2x = 6 \\ { \tt{x = 3}}$

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Answer: (17.42, 20.78)

Step-by-step explanation:

As per given , we have

Sample size : n= 9

$\overline{x}=19.1$ years

Population standard deviation is not given , so it follows t-distribution.

Sample standard deviation : s= 1.5 years

Confidence level : 99% or 0.99

Significance level : $\alpha= 1-0.99=0.01$

Degree of freedom : df= 8 (∵df =n-1)

Critical value : $t_c=t_{(\alpha/2,\ df)}=t_{0.005,\ 8}= 3.355$

The 99% confidence interval for the population mean would be :-

$\overline{x}\pm t_c\dfrac{s}{\sqrt{n}}$

$19.1\pm (3.355)\dfrac{1.5}{\sqrt{ 9}}\\\\=19.1\pm1.6775\\\\=(19.1-1.6775,\ 19.1+1.6775)\\\\=(17.4225,\ 20.7775)\approx(17.42,\ 20.78)$

Hence, the 99% confidence interval for the population mean is (17.42, 20.78) .

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3 years ago

This line segment will be dilated with the point of dilation at (4,1) and scale factor of 2. What is the x-coordinate of one of

IgorLugansk [536]

Answer:

Step-by-step explanation:

If a coordinate point (x, y) is dilated by a factor k, then the resulting coordinate will be (kx, ky)

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New point = (8, 2)

Hence x-coordinate of one of the the end point of the dilated segment is 8

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3 years ago

Problem page the sum of two numbers is 67 and the difference is 11 . what are the numbers?

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Try this:
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If 2 points lie in a plane, the line containing those opints lies in the same plane

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3 years ago

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Homework: 7.1 hw

Scrat [10]

Answer:

a. $ 2,431.01 = 4 years

b. $ 4,584.04 = 17 years

c. 4.57 years = $ 2,499.57

d. 8.3 year = $ 2,998.48

e. $ 2,431.01 = 4 years

Step-by-step explanation:

Compound Interest Equation

A = P(1 + r/n)nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

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3 years ago

Find the value x in the figure :​

Find the value x in the figure :