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3 years ago

Which equation represents this number sentence?

Mathematics

1 answer:

Marina CMI [18]3 years ago

8 0

Answer:

Step-by-step explanation:

Let the number be 'x'

Quotient of a number and 4 = $\frac{x}{4}$

Six less than the quotient of a number and 4 : $\frac{x}{4}-6$

Equation:

$\frac{x}{4} \ - \ 6 = 15$

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The answer is not A or B

Nat2105 [25]

Answer:

C) 4

Step-by-step explanation:

Arcs on one side of the diameter adds upto 180°.

Therefore,

$(2 + 17x) \degree + 54 \degree + 56 \degree = 180 \degree \\ \\ (2 + 17x) \degree + 110 \degree = 180 \degree \\ \\ (2+ 17x) \degree = 180 \degree - 110 \degree\\ \\ (2 + 17x) \degree = 70 \degree \\ \\ 2 + 17x = 70 \\ 17x = 70 - 2 \\ \\ x = \frac{68}{17} \\ \\ x = 4$

4 0

3 years ago

Read 2 more answers

zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

$(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x$

$(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x$

Reorder

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

From trigonometry;

$sin^2x + cos^2x = 1$

So;

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

becomes

$(sin x - cos x)^2 = 1 - 2sinx cos x$

Also from trigonometry;

$sec^2x - tan^2x = 1$

So,

$(sin x - cos x)^2 = 1 - 2sinx cos x$

becomes

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

Proved

3 0

3 years ago

The area of a triangle is 80x^5y^3. The height of the triangle is x^4y. What is the length of the base of the triangle?

svetoff [14.1K]

Area of a triangle is given by 1/2bh where b is the base and h is the perpendicular height of the triangle.
The area is 80x∧5y³ and the height is x∧4y
Thus; 80x∧5y³ = 1/2(x∧4y) b
160x∧5y³ = (x∧4y)b
b = (160x∧5y³)/ x∧4y)
b = 160xy²
Therefore, the base of the triangle is 160xy²

7 0

3 years ago

Read 2 more answers

A scientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to li

Nookie1986 [14]

I got 20,737 but I could be wrong so I will attach my algorithm and work.

8 0

4 years ago

F(x)= 9-x^2, x ≥ 0. f^-1(x)=??

julia-pushkina [17]

$y=9-x^{2},\ x\ge0$

Reverse $x$ and $y$ :
$x=9-y^{2},\ y\ge0$
Solve for $y$ :
$x=9-y^{2}$
$\rightarrow y^{2}=9-x$
$\rightarrow y=\sqrt{9-x}$ since $y\ge0$

7 0

3 years ago