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3 years ago

Soup is on sale at six cans for $3.31. The cost of an individual can of soup is $0.63. How

Mathematics

1 answer:

seropon [69]3 years ago

5 0

Answer:

0.47

Step-by-step explanation:

0.63×6=3.78

3.78-3.31=0.47

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Find the diagonal of a rectangular frame which measures 77 in. by 36 in.

Cerrena [4.2K]

Answer:

Step-by-step explanation:

think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :

77^2 + 36^2 = c^2

7225 = c^2

c = 85

5 0

3 years ago

Purchasing a TV that is 20% off will save $180.

Flauer [41]

Answer:

$900

Step-by-step explanation:

a)Off given on purchasing a TV= 20%

20% on TV = $ 180

Let the original price of TV set $ x

According to question,

20% of x= $180

$\frac{20}{100}$ ×x= $180

x = $ 180× 5

x= $ 900

Hence, Original price of TV set= $ 900

b) By second method,

20%= $180

1%= $ 9

100% = $900

Hence, the original price $ 900

4 0

4 years ago

Cos^2x+cos^2(120°+x)+cos^2(120°-x)<br>i need this asap. pls help me

o-na [289]

Answer:

$\frac{3}{2}$

Step-by-step explanation:

Using the addition formulae for cosine

cos(x ± y) = cosxcosy ∓ sinxsiny

---------------------------------------------------------------

cos(120 + x) = cos120cosx - sin120sinx

= - cos60cosx - sin60sinx

= - $\frac{1}{2}$ cosx - $\frac{\sqrt{3} }{2}$ sinx

squaring to obtain cos² (120 + x)

= $\frac{1}{4}$ cos²x + $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

--------------------------------------------------------------------

cos(120 - x) = cos120cosx + sin120sinx

= -cos60cosx + sin60sinx

= - $\frac{1}{2}$ cosx + $\frac{\sqrt{3} }{2}$ sinx

squaring to obtain cos²(120 - x)

= $\frac{1}{4}$ cos²x - $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

--------------------------------------------------------------------------

Putting it all together

cos²x + $\frac{1}{4}$ cos²x + $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x + $\frac{1}{4}$ cos²x - $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

= cos²x + $\frac{1}{2}$ cos²x + $\frac{3}{2}$ sin²x

= $\frac{3}{2}$ cos²x + $\frac{3}{2}$ sin²x

= $\frac{3}{2}$ (cos²x + sin²x) = $\frac{3}{2}$

5 0

3 years ago

Name

Anvisha [2.4K]

Answer:

4x+8

6x-8

$48x^2+30x-4$