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Lady_Fox [76]
1 year ago
15

Show that Sin30° / cos30° = tan30 °

Mathematics
1 answer:
sweet [91]1 year ago
4 0

Answer:

if you multiply both sides by cos 30

LHS = \frac{sin30}{cos30} x cos 30

       = sin 30

RHS = tan 30 x cos 30

       = \frac{sin30}{cos30} x cos 30

       = sin 30

       = LHS

Therefore, sin30° / cos30° = tan30 °

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Find three consecutive positive integers such that the product of the first and​ third, minus the​ second, is 1 more than 7 time
Bas_tet [7]
--------------------------------------------------------------------
Define x :
--------------------------------------------------------------------
Let the smallest number be x.
First number = x
Second Number = x + 1
Third Number = x + 2

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Construct equation :
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x(x+2) - (x+1) = 7(x+2) + 1

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Solve x :
--------------------------------------------------------------------
x(x + 2) - (x + 1) = 7(x + 2) + 1
x² + 2x - x - 1 = 7x + 14 + 1
x²- 6x - 16 = 0
<span>(x+2)(x-8) = 0
</span>x = -2 or x = 8

Since x is a positive integer, it cannot be negative.
⇒x = 8

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Answer: The three numbers are 8, 9 and 10.
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6 0
3 years ago
James says,
Dima020 [189]

-3^3 = -27

Step-by-step explanation:

Thats because -3^3 is (-3×3×3) not (-3×-3×-3) which we are multiplying a the constant not the the powers

6 0
2 years ago
Read 2 more answers
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Answer:

Y=2x+4

Step-by-step explanation:

6 0
3 years ago
37 pumpkins each weighs 48 ounces
KiRa [710]
37 * 48 = 3 * (c  - 140 )+ 2 *(c  - 140 ) + ( c - 140 ) =>
37 * 48 = 6 * ( c - 140 ) =>
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5 0
3 years ago
What is the area of this figure
exis [7]

Answer:

178m squared

Step-by-step explanation:

make 3 rectangular shapes

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4 0
3 years ago
Read 2 more answers
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