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3 years ago

Find the slope of the line.

Mathematics

1 answer:

Anika [276]3 years ago

6 0

The equation for working out the slope of a linear line is: $\frac{y_2 - y_1}{x_2 - x_1}$ , where x and y are the coordinate pairs.

So just pick two of the purple dots on the graph and fill in the equation.

I'll pick the dot that's (-4, 1) and (4, -7).

Now I just do $\frac{7 - 1}{4 - -4}$ , which is just $\frac{3}{4}$ when simplified.

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What is the equivalent ratio of 9 to 12?

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3 years ago

Find (a) the arc length and (b) the area of a sector.

Brut [27]

Answer:

a) 23.56 ft (2 dp)

b) 58.90 ft² (2 dp)

Step-by-step explanation:

Formula

$\textsf{Arc length}=r \theta$

$\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta$

$\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}$

Calculation

Given:

$\theta=\dfrac{3 \pi}{2}$
r = 5 ft

$\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 5\left(\dfrac{3 \pi}{2}\right)\\& = \dfrac{15}{2} \pi \\& = 23.56\: \sf ft\:(2\:dp)\end{aligned}$

$\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(5^2) \left(\dfrac{3 \pi}{2}\right)\\\\& = \dfrac{25}{2}\left(\dfrac{3 \pi}{2}\right)\\\\ & = \dfrac{75}{4} \pi \\\\& = 58.90 \: \sf ft^2\:(2\:dp)\end{aligned}$

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2 years ago

Pls help the options are 4% 45% 75% and 80%

Masteriza [31]

Answer:

75 %

Step-by-step explanation

There are 5 squares and each has 25 so 75% is the answear

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2 years ago

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