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2 years ago

Can someone solve this and explain it in steps to someone that have never learned this?

Mathematics

1 answer:

Vinvika [58]2 years ago

3 0

Answer:

Step-by-step explanation:

in third quadrant sin is negative.

sin² θ+cos² θ=1

sin²θ+(-16/20)²=1

sin²θ+(-4/5)²=1

sinθ=±√(1-16/25)

=±√((25-16)/25)

=±√(9/25)

=±3/5

sin θ=-3/5

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The

stepan [7]

Answer:

$Area = 129.5m^2$

$Perimeter = 48m$

Step-by-step explanation:

Given

See attachment

Required

Determine the area and the perimeter of the garden

Calculating Area

First, we calculate the $area\ of\ the\ rectangle$

$A_1 = L * B$

Where:

$L = 20-(3.5 +3.5)$

$B = 7$

So:

$A_1 = (20 - (3.5 + 3.5)) * 7$

$A_1 = (20 - 7) * 7$

$A_1 = 13 * 7$

$A_1 = 91$

Next, we calculate the area of the two semi-circles.

Two semi-circles = One Circle

So:

$A_2 = \pi r^2$

Where

$r = \frac{7}{2}$

$A_2 = \frac{22}{7} * (\frac{7}{2})^2$

$A_2 = \frac{22}{7} * \frac{49}{4}$

$A_2 = \frac{22}{1} * \frac{7}{4}$

$A_2 = \frac{22*7}{4}$

$A_2 = \frac{154}{4}$

$A_2 = 38.5$

Area of the garden is

$Area = A_1 + A_2$

$Area = 91 + 38.5$

$Area = 129.5m^2$

Calculating Perimeter

First, we calculate the perimeter of the rectangle

But in this case, we only consider the length because the widths have been covered by the semicircles

$P_1 = 2 * L$

Where:

$L = 20-(3.5 +3.5)$

So:

$P_1 =2 * (20-(3.5 +3.5))$

$P_1 =2 * (20-7)$

$P_1 =2 * 13$

$P_1 =26$

Next, we calculate the perimeter of the two semi-circles.

Two semi-circles = One Circle

So:

$P_2 = 2\pi r$

Where

$r = \frac{7}{2}$

$P_2 = 2 * \frac{22}{7} * \frac{7}{2}$

$P_2 = \frac{2 * 22 * 7}{7 * 2}$

$P_2 = \frac{308}{14}$

$P_2 = 22$

Perimeter of the garden is

$Perimeter = P_1 + P_2$

$Perimeter = 26 + 22$

$Perimeter = 48m$

8 0

3 years ago

Joshua orders pictures from a photographer. Each picture costs $12.75. A one-time shipping fee of $3.25 is added to the cost of

Alik [6]

Answer:

6 pictures

Step-by-step explanation:

Let x be the number of pictures that was bought

Let y be the total amount of money collected for the picture

y= 3.25+12.75

3.25+12.75x= 79.75

Therefore x can be calculated as follows

12.75x= 79.75-3.25

12.75x= 76.5

x= 76.5/12.75

= 6

Hence Joshua ordered 6 pictures

5 0

3 years ago

For ΔABC, which transformation composition is COMMUTATIVE?

liq [111]

Commutative transformation is type of transformation in which the order of operations doesn't affect the result of transformation.
The only commutative transformation is D.

4 0

3 years ago

Read 2 more answers

IS (1,-4) a solution to the equation y=-2?

matrenka [14]

Answer:

yes

Step-by-step explanation:

7 0

3 years ago

Please help! im literally about to die

Gnesinka [82]

I think it’s 13 I’m not sure

4 0

3 years ago