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n200080 [17]
3 years ago
9

Find the area of the object

Mathematics
1 answer:
Andre45 [30]3 years ago
7 0

Answer:

2π + 24 m² = 30.3 m²(3 s.f.)

Step-by-step explanation:

Area of rectangle: l x w

6 x 4 = 24 m²

Area of semicircle: πr²/2

r = 4/2 = 2

π x 2² / 2

4π / 2

2π

Total area: 2π + 24 m² = 30.3 (3 s.f.)

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Determine the equation of the line that is parallel to the given line, through the given point.
Verdich [7]

Answer:

y=-\frac{3}{2}x+1

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

3x+2y = 10

First, we must organize this given equation in slope-intercept form. This will help us identify its slope.

3x+2y = 10

Subtract 3x from both sides

2y = -3x+10

Divide both sides by 2

y = -\frac{3}{2} x+5

Now, we can identify clearly that -\frac{3}{2} is in the place of <em>m</em> in y=mx+b, making it the slope. Because parallel lines have the same slope, this makes the slope of the line we're currently solving for -\frac{3}{2} as well. Plug this number into y=mx+b:

y=-\frac{3}{2}x+b

<u>2) Determine the y-intercept (b)</u>

y=-\frac{3}{2}x+b

Plug in the given point (8,-11) and solve for b

-11=-\frac{3}{2}(8)+b\\-11=-\frac{24}{2}+b\\-11=-12+b

Add 12 to both sides

1=b

Therefore, the y-intercept of the line is 1. Plug this back into y=-\frac{3}{2}x+b:

y=-\frac{3}{2}x+1

I hope this helps!

7 0
3 years ago
Does anyone know how to solve this? If so pls let me know
Andre45 [30]
Yes the value of X is 12.53 :)

Pythagorean theorem.

11•11=121+6•6=36=157
The square root of 157=12.53
5 0
3 years ago
I WILL MARK YOU BRAINLIEST, I NEED ASAP.What is 2 300 00 nm to dam
frosja888 [35]

Answer: 0.0023

Step-by-step explanation:

230, 000 nm

10^-9

dam are 10^-1

Therefore, divide nm by 10^8

Therefore, 0.0023

I hope this helps :)

BB76

8 0
3 years ago
Two products when calcium carbonate is heated
erik [133]

Answer:

When heated calcium carbonate forms calcium oxide and carbon dioxide.

7 0
3 years ago
Read 2 more answers
A land surveyor places two stakes 500 ft apart and creates a perpendicular to the line that connects these two stakes. He needs
aksik [14]

Answer:

A perpendicular bisector is a perpendicular line that divides a line into two equal halves

step by step:

To apply the Perpendicular Bisector Theorem, the land surveyor will need to identify; the midpoint along the line connecting the two stakes

The reason why the surveyor needs to identify the midpoint is as follows:

According to the Perpendicular Bisector Theorem, all points on the perpendicular bisector of a line are of equal distance from the line's endpoint

In order to apply the perpendicular bisector, the surveyor would need to identify the midpoint from which the third stake can be placed 100 ft. along a perpendicular bisector drawn from the midpoint

Therefore, the surveyor needs to identify; the midpoint along the line connecting the two stakes

uhhhh

8 0
3 years ago
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