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tamaranim1 [39]

3 years ago

7

I need to buy some cardboard to build a box 12 inches long, 8 inches wide and 10 inches high. How much cardboard is needed to bu

ild the box

1 answer:

Sliva [168]3 years ago

7 0

Answer:

960

Step-by-step explanation:

you have to multiply 12*8*10

12*8=96

96*10=960

You might be interested in

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everyth

crimeas [40]

The inequality described can be written as:

y < 3x + 2.

<h3>How to get the inequality?</h3>

First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:

y < line.

The linear equation is of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:

$a = \frac{2 - (-7)}{0 - (-3)} = 9/3 = 3$

And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:

y < 3x + 2.

If you want to learn more about inequalities:

brainly.com/question/2516147

#SPJ1

8 0

2 years ago

If one pound = rupees 135 and dollar =105 rupees then convert the pound 63 into Dollar

enot [183]

Answer:

Step-by-step explanation:

£63 = 135 × 63

= Rs . 8505

Rs . 8505 = 8505 / 105

= $81

6 0

2 years ago

What is the equation of a line with a slope of 7 and a point (1, 8) on the line?

Helen [10]

Answer:

$y=7x+1$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

In this problem we have

$m=7$

$point(1,8)$

substitute and solve for b

$8=7(1)+b$

$8=7+b$

$b=8-7=1$

The equation of the line is equal to

$y=7x+1$

7 0

3 years ago

Write your answer as an integer or as a decimal rounded to the nearest hundredth.

irina [24]

Answer:

<h3><X = 63</h3>

Step-by-step explanation:

USing SOH CAH TOA

sin theta = opposite/hypotenuse

sin <X = WV/VX

sin <X = 8/9

<X = arcsin(8/9)

<X = arcsin(0.8889)

<X = 62.7 degrees

Hence the value of x is approximately 63degrees

7 0

2 years ago

Factor the expression using the two different techniques listed for Parts 1(a) and 1(b).

Natalija [7]

Answer:

9a^4 b^10(2 +3a^6 b^5) (2 -3a^6 b^5)

see work below

Step-by-step explanation:

36a^4b^10 - 81a^16b^20

A) find the GCF

36a^4b^10 = 4*9 a^4b^10 = 2*2*3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b

81a^16b^20= 9*9a^16b^20= 3*3*3*3* a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a *b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b

The terms that appear in both terms is the GCF. The terms that remain are inside the parentheses.

The GCF is 3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b

36a^4b^10 - 81a^16b^20 = 3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b *

( 2*2 - 3*3a*a*a*a*a*a*a*a*a*a*a*a b*b*b*b*b*b*b*b*b*b)

Combining like terms

36a^4b^10 - 81a^16b^20 = 9a^4b^10(4-9a^12b^10)

The expression inside the parenthesis can be factored using the difference of squares

let x^2 =4 x =2

y^2 = 9a^12 b^10 y = 3a^6b^5

(x^2 -y^2) = (x+y)(x-y)

9a^4b^10(4-9a^12b^10) = 9a^4b^10 ( 2+3a^6b^5) ( 2-3a^6b^5)

b) difference of squares a^2 – b^2 = (a + b)(a – b)

let a^2 = 36a^4b^10

so a = 6a^2b^5

b^2 = 81a^16b^20

b = 9a^8 b^10

a^2 – b^2 = (a + b)(a – b)

36a^4b^10 - 81a^16b^20 = (6a^2b^5 +9a^8 b^10) (6a^2b^5 -9a^8 b^10)

We can factor a 3 a^2 b^5 out of the first term

3 a^2 b^5 (2 +3a^6 b^5) (6a^2b^5 -9a^8 b^10)

3 a^2 b^5 (2 +3a^6 b^5) 3 a^2 b^5 (2 -3a^6 b^5)

Multiply the terms outside the parentheses together

9a^4 b^10(2 +3a^6 b^5) (2 -3a^6 b^5)

4 0

3 years ago

Read 2 more answers