All categories

3 years ago

Write the perimeter

Mathematics

1 answer:

IrinaK [193]3 years ago

5 0

Perimeter:

= 2x + 36 + x + 14 + x + 14

= 2x + x + x + 26 + 14 + 14

= 4x + 54

You might be interested in

Let x be the size of a house (sq ft) and y be the amount of natural gas used (therms) during a specified period. Suppose that fo

guapka [62]

Answer:

y = 0.019x - 7

32.9 therms

0.019 therms

1.9 therms

Step-by-step explanation:

Given the following :

X =size of house (sq ft)

Y = Amount of natural gas used

The general form of a some linear regression model :

y = ßx + a

Where ;

ß = slope or gradient

x = independent variable

y = predicted value

a = y- intercept value

(A)

If ß = slope of population regression line = 0.019

a = y intercept of population regression line = -7

The regression model could be expressed as :

y = 0.019x + (-7)

y = 0.019x - 7

(B)What is the mean value of gas usage for houses with 2100 sq ft of space?

Here x = 2100 sq ft ; Inputting the value of x into the regression equation:

y = 0.019x - 7

y = 0.019(2100) - 7

y = 39.9 - 7

y = 32.9 therms

C) What is the average change in usage associated with a 1 square foot increase in size?

Change in usage associated with change in size can be gotten from :

ßx, where, ß change in y with respect to x ;

x = 1 square foot

ß = 0.019

Change = 0.019*(1) = 0.019 therms

(d) What is the average change in usage associated with a 100 square feet increase in size?

ßx, where, ß change in y with respect to x ;

x = 100 square feet

ß = 0.019

Change = 0.019*(100) = 1.9 therms

6 0

3 years ago

HELP PLEASE Which graph represents the system of inequalities?

Assoli18 [71]

Answer:

The answer to your question is in the picture below

Step-by-step explanation:

y + 3/4x < 2

y+ 3/4x = 2

y = -3/4x +2

Interceptions (0,2) and (8/3, 0) It's a dotted line and we are interested in the area below the line

y - 1 ≥ 2x

y - 1 = 2x

y = 2x + 1 Interception, it's not a dotted line with interceptions (0,1) and (-1/2, 0), we are interested in the area up the line.

6 0

3 years ago

Solve this A tourist starts off from town A and travels for 50km on a bearing of N80°W to town B.At town B ,he continues for ano

VLD [36.1K]

Answer:

The point C is 12.68 km away from the point A on a bearing of S23.23°W.

Step-by-step explanation:

Given that AB is 50 km and BC is 40 km as shown in the figure.

From the figure, the length of x-component of AC = |AB sin 80° - BC cos 20°|

=|50 sin 80° - 40 cos 20°|=11.65 km

The length of y-component of AC = |AB cos 80° - BC sin 20°|

=|50 cos 80° - 40 sin 20°|= 5 km

tan $\theta$ = 5/11.65

$\theta$ =23.23°

AC= $\sqrt{5^2+11.65^2}=12.68$ km

Hence, the point C is 12.68 km away from the point A on a bearing of S23.23°W.

8 0

2 years ago

The diagram shows a triangle. 108° 42° 15c What is the value of c?

Tom [10]

Assuming these are the angles for the inside of the triangle:

c=2

Step-by-step:

108+42+15c=180
150+15c=180
15c=30
c=2

8 0

3 years ago

How long will it take a $2 000 investment to earn $544 in interest at a 1.7 interest rate

lozanna [386]

Answer:

16 years

Step-by-step explanation:

1.7% of 2000 is $34

$544 divided by $34 = 16 years, that is if the interest is yearly and not monthly though

7 0

3 years ago