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3 years ago

(25–a)÷7=3

Mathematics

1 answer:

Harrizon [31]3 years ago

5 0

(25-a)÷7=3
(25-4)÷7=3
21÷7=3
a=4

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3х + бх = ух What I the answer

Dominik [7]

Answer:

dy=9-y

dx=x

Step-by-step explanation:

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4 years ago

Cos^2x+cos^2(120°+x)+cos^2(120°-x) 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

If you pay $3.36 in tax, what was the original price at an 8% sales tax

yanalaym [24]

Answer:

Step-by-step explanation:

Given

8% = $3.36
100% = x

Cross multiply and solve for x:

x = $3.36*100/8 = $42

4 0

3 years ago

PLEASE HELP ASAP! Construct an angle of 75° and write the steps of construction.

vlada-n [284]

Step-by-step explanation:

Steps of Construction

(i) Draw ray AB.

(ii) Construct ∠BAC = 60°.

(iii) Construct ∠BAD = 90°.

(iv) Bisect ∠CAD, so that ∠CAE = ∠EAD = 15°.

(v) We obtain ∠BAE = ∠BAC + ∠CAE = 60° + 15° =75°.

Hope this Helps!!!!

6 0

2 years ago

Bethany is paid time-and-a-half for each hour she works above her normal 40 hours each week. Last week, Bethany worked 44 hours

scoray [572]

Answer : $18.75

Bethany is paid time-and-a-half for each hour she works above her normal 40 hours each week. Last week, Bethany worked 44 hours and her gross pay was $575.

Total hours worked = 44 hours

Normal 40 hours + 4 hours extra

Let x be the amount earned for 1 hour for regular 40 hours

1.5x be the amount earned for extra hours

40 (amount earned for normal hours ) + 4(amount for extra hours ) = gross pay

40x + 4(1.5x) = 575

40x + 6x = 575

46 x = 575

Now divide both sides by 46

x = 12.5

1.5x is the amount earned for extra hours

1.5 * 12.5 = 18.75

Bethany earn for each hour of overtime she worked is $18.75

8 0

3 years ago