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3 years ago

The expression (4c − 3d)(3c + d) is equivalent to:

Mathematics

1 answer:

Umnica [9.8K]3 years ago

4 0

(4c - 3d)(3c + d) =

= 12c² + 4cd - 9cd - 3d² =

= <u>12c² - 5cd - 3d²</u>

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3 years ago

In a theater, there are 4 long rows of chairs, each with an equal number of chairs. There are 5 short rows of chairs, each with

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2 years ago

In a circle of radius 10 cm, a sector has an area of 40 (pi) sq. cm. What is the degree measure of the arc of the sector?

Rashid [163]

Answer:

144°

Step-by-step explanation:

First, find the area of the circle, with the formula A = $\pi$ r²

Plug in 10 as the radius, and solve

A = $\pi$ r²

A = $\pi$ (10²)

A = 100 $\pi$

Using this, create a proportion that relates the area of the sector to the degree measure of the arc.

Let x represent the degree measure of the arc of the sector:

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Cross multiply and solve for x:

100 $\pi$ x = 14400 $\pi$

x = 144

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3 years ago

Read 2 more answers

Q6: Which is the graph of the polar equation r=1/1-sin theta.

AveGali [126]

Answer:

The correct answer is C.

Step-by-step explanation:

The given equation is;

$r=\frac{1}{1-\sin(\theta)}$

This implies that;

$r(1-\sin(\theta)=1$

$r-r\sin(\theta)=1$

Let us write in Cartesian coordinates by substituting;

$r=\sqrt{x^2+y^2} ,y=r\sin(\theta)$

$\sqrt{x^2+y^2}-y=1$

$\sqrt{x^2+y^2}=y+1$

Square both sides;

$(\sqrt{x^2+y^2})^2=(y+1)^2$

This implies that;

$x^2+y^2=y^2+2y+1$

$x^2=2y+1$

$y=\frac{1}{2}x^2-\frac{1}{2}$

This is an equation of a parabola that opens upwards with a y-intercept of $-\frac{1}{2}$ .

The correct choice is C

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3 years ago

The measures of the angles of a triangle are in the extended ratio 2:2:8. What is the measure of the smallest angle?

zepelin [54]

We know that the ratio is;

$2:2:8$

The angles in a triangle add up to give 180°

We can think of there being twelve "parts" that add up to 180°

$2x + 2x + 8x = 180 \\ \\ 12x = 180 \\ \\ x = \frac{180}{12} \\ \\ x = 15$

So our ratio is;

$2*15 : 2*15 : 8*15 \\ \\ = 30 : 30 :120$

So the smallest angle is 30°

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3 years ago

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