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3 years ago

Two different types of candy cost 2x, 7x. If you buy 2 of each type, write down an algebric expression of the total cost

Mathematics

1 answer:

deff fn [24]3 years ago

5 0

Answer:

$(18x)

Step-by-step explanation:

2(2x)+2(7x)

=4x+14x

=18x

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Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum (physics question)

Law Incorporation [45]

Answer:

$Magnitude =\sqrt{59} \\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}}$

Step-by-step explanation:

A=2i+3j+4k

B=i-2j+3k

Sum of the vectors:

A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k

$Magnitude =\sqrt{3^2 + 1^2+ 7^2} \\\\Magnitude =\sqrt{9+1+49} \\\\Magnitude =\sqrt{59}$

Direction of the sum of the vectors:

$\widehat{A + B} =\frac{\overrightarrow{A + B}}{Magnitude\: of \:\overrightarrow{A + B}} \\\\\widehat{A + B} =\frac{3i + j + 7k}{\sqrt {59}} \\\\\widehat{A + B} =\frac{3}{\sqrt {59}} i +\frac{1}{\sqrt {59}} j+\frac{7}{\sqrt {59}} k\\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}} \\\\$

3 0

2 years ago

The volume of a cylinder can is 1.54 litre and area of base is 77cm^2 Find its height

goblinko [34]

Answer:

The height is 20 cm.

Step-by-step explanation:

First, we have to know that the volume formula is V = πr²h and the base area of cylinder is a circle. So we can let πr² be 77 cm² . Then we have to substitute the following values into the formula :

$v = 1.54 \: l$

$v = 1540 \: {cm}^{3}$

$v = \pi \times {r}^{2} \times h$

Let πr² be 77,

Let v be 1540,

$1540 = 77 \times h$

$77h = 1540$

$h = 1540 \div 77$

$h = 20 \: cm$

5 0

3 years ago

First 8 is added to me , then j am multiplied by 6.then 40 is subtracted from me .Finally I am divided by 10. The result is 11.

alexdok [17]

11x10=110
110+40=150
150/6=25
25-8=17
17 is the number.

4 0

3 years ago

Angela drew Triangle ABC. She dilated Triangle ABC by a scale factor of 13 with the center of dilation at the origin. Then she t

ra1l [238]

Answer:

Triangle ABC is similar but not congruent to Triangle XYZ

Step-by-step explanation:

When you dilate the size changes but the angles are the same with makes them similar and since the size of the triangles are different they cannot be congruent.

5 0

3 years ago

Express in simplest radical form. Sqrt (27)

zhannawk [14.2K]

Answer:

3√3

Step-by-step explanation:

√27 =

= √3×9

= √3×3²

= 3√3

6 0

3 years ago