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3 years ago

Find the exact distance between the points (-6,-14) and (-23,7).

1 answer:

8 0

To find the distance between two points we use the distance formula; (√(x-x°)^2+(y-y°)^2) :
let x= -6 and x°= -23 and let y= -14 and y°= 7
so,
√((-6--23)^2+(-14-7)^2)
=√(-6+23)^2+(-21)^2
=√(17)^2+(-21)^2
=√289+441
=√730
=27.0185

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A box of crackers is 16 cm long, 6 cm wide, and 23 cm tall. What is the volume of this box?

zaharov [31]

Given: 16cm long, 6cm wide, 23 cm tall
Asked: volume of the box
Formula: V=LxWxH
Solution: V = 16x6x23 = n
Answer: 2,208 cm³ volume of the box

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3 years ago

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vovangra [49]

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3 years ago

Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison

dolphi86 [110]

Answer:

Sessions needed= 12

Step-by-step explanation:

Giving the following information:

Total hours= 12 hours

Practice= 3/4= 0.75 of an hour

Already practiced= 3 hours

First, we need to determine how many minutes does she practice each session:

Minutes per session= 0.75*60= 45 minutes

Now, we divide the total practice in minutes required for the minutes per session:

Sessions needed= (9*60) / 45

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3 years ago

Evaluate: 7( 14 - 8) - 6² 5 6 7 8 please help if possible 3

irakobra [83]

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

Identify

7(14 - 8) - 6²

Step 2: Evaluate

Exponents: 7(14 - 8) - 36
(Parenthesis) Subtract: 7(6) - 36
Multiply: 42 - 36
Subtract: 6

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3 years ago

What is the area of the rectangle

OLEGan [10]

To find the area of a rectangle, we must use the formula, A = lw, where the variable l represents the length of the rectangle and the variable w represents the width of the rectangle. To find the area, we just have to substitute in the values we are given for the length and width (shown in the picture above) to calculate the area. This is modeled below:

A = lw

A = 12 cm * 5 cm

To solve, we simply multiply the two factors on the right side of the equation to find the area. Remember that because we are multiplying these two numbers together, we should end up with an answer that has squared units!

A = 60 cm²

Therefore, your answer is that the area of the rectangle is 60 cm².

Hope this helps!

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4 years ago