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3 years ago

Will give brainliest for BEST answer!

Mathematics

1 answer:

Nataliya [291]3 years ago

8 0

Use substitution and substitute y into the other equation. One of the equations already gives you y in terms of x, so use that and substitute it into the other equation. y = 3x - 4

Plug into the other equation: -3y = -9x + 12
-3(3x-4) = -9x + 12
-9x + 12 = -9x + 12
This is an identity. So that means that any value of x makes this equation true. So B.

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Find (a) arc length and (b) Area of a sector.

barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

<u>Formula</u>

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

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

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

<u>Calculation</u>

Given:

$\theta=\dfrac{5 \pi}{8}$
r = 15 cm

$\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}$

$\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}$

5 0

1 year ago

The sides of the square shown below have a length of

USPshnik [31]

Answer:2 $\sqrt{6}$ because it is a 45 45 90

Step-by-step explanation:

8 0

3 years ago

Solve 1/2x + 3 > 2(x-5/2)

Likurg_2 [28]

Answer:

1/4x (8 x - 15)

Step-by-step explanation:

write the division as a fraction

1/2x + 3/2x (x - 5 ÷ 2)

factor out 1/2 from the expression.

1/2x(x + 3(x - 5 ÷ 2))

divide the numbers.

1/2x(x + 3(x - 2.5))

distribute 3 through the parentheses.

1/2x(x + 3x - 7.5)

collect like terms.

1/2x(4x - 7.5)

1/2x(4x - 15/2)

factor out 1/2 from the expression.

1/2 x 1/2 x (8 x - 15)

multiply the fractions

= 1/4 x (8x - 15)

or alternative form

= 0.25(8x - 15)

6 0

2 years ago

Find the graph of the inequality y<= -1/3+1

Dafna11 [192]

Here. This is the graph you wanted. The underside is shaded by the way.

4 0

2 years ago

How are you can’t do that I want no which answer

Sav [38]

The area of the square is 14*14 = 168 ft^2.

The area of the circle is πr^2. The radius is diameter/2 = 7. The area of the circle is 3.14*(7)^2 = 3.14*49 = 153.86 ft^2.

The area of the shaded part is the area of the square minus the area of the circle = 168 - 153.86 = 14.14 ft^2.

6 0

2 years ago

Will give brainliest for *BEST* answer!

Will give brainliest for BEST answer!