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solong [7]
3 years ago
5

Fine the area of the regular figure

Mathematics
1 answer:
Sloan [31]3 years ago
7 0

Answer:

139.5 mm

Step-by-step explanation:

The area of a geometric shape with all sides of equal length is:

A (1/2)nsr

n = the number of sides

s = the length of the sides

r = the length of the apothem

The apothem is the line going from the center point of the shape to the middle of one of the sides.

A = (1/2)(5)(9)(6.2)

A = (1/2)279

A = 139.5 mm

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8 more than a number is greater than or equal to 0. Find the number.
Alenkinab [10]

we are given that

8 more than a number is greater than or equal to 0

Let's assume that number as 'x'

8 more than a number is

x+8

now, it is greater than or equal to 0

so, we can write as

x+8\geq 0

now, we can solve for x

Subtract both sides 8

x+8-8\geq 0-8

x\geq -8...............Answer


7 0
4 years ago
Find the value of r so that the line through (-4,3) and (r,-3) has a slope of 2/3.
Tems11 [23]

Answer:

<h3>r = -13</h3>

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the slope m = 2/3 and the points (-4, 3) and (r, -3). Substitute:

\dfrac{-3-3}{r-(-4)}=\dfrac{2}{3}

\dfrac{-6}{r+4}=\dfrac{2}{3}        <em>cross multiply</em>

2(r+4)=(-6)(3)        <em>divdide both sides by 2</em>

r+4=(-3)(3)

r+4=-9       <em>subtract 4 from both sides</em>

\boxed{r=-13}

6 0
3 years ago
1/3h-4(2/3h-3)=2/3h-6
serious [3.7K]
\frac{1}{3}h -4(\frac{2}{3}h-3^{(3})=\frac{2}{3}h-6^{(3} \\\\ \frac{h}{3} -4*\frac{2h-9}{3}=\frac{2h-18}{3} \\\\ h-4(2h-9)=2h-18 \\\\ h-8h+36=2h-18 \\\\ -7h+36=2h-18 \\\\ -7h-2h=-18-36 \\\\ -9h=-54 \\\\ \boxed{h=\frac{-54}{-9}=6}
7 0
3 years ago
Read 2 more answers
Brine is a solution of salt and water. If a tub contains 50 gallons of a 5% solution of brine, how much water must evaporate to
stich3 [128]
Current concentration =5%
Current volume = 50 gallons
Current brine content = 0.05*(50 gallons) = 2.5 gallons.

Let x = gallons of water that evaporated.
Then
Final volume  = (50 -x) gallons
Final concentration = 8%
Final brine content = 0.08*(50 - x) = 4 - 0.08x gallons

The brine content did not change, therefore
4 - 0.08x = 2.5
-0.08x = -1.5
x = 18.75 gallons

Answer: 18.75 gallons

3 0
3 years ago
A plane flies from atlanta to new york to los angeles angainst the wind in 5 hr the return trip back to atlanta with the wind on
dimulka [17.4K]

Answer: speed of plane is 720 km/h

Speed of wind is 80km/h

Step-by-step explanation:

Let x represent the speed of the plane.

Let y represent the speed of the wind.

The plane flies from Atlanta to los Angeles and against the wind in 5hrs and the distance between Atlanta and los Angeles is 3200 km.

Since it flew against the wind, the speed would be x-y km/hour

Distance = speed × time. Therefore

3200 = 5(x - y )

3200 = 5x - 5y - - - - - - - - - 1

the return trip back to Atlanta with the wind only 4 hr. This means that the speed is x+y km/hour. Therefore

3200 = 4(x+y)

3200 = 4x + 4y - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 5, it becomes

12800 = 20x - 20y

16000 = 20x - 20y

Adding both equations, it becomes

28800 = 40x

x = 28800/40 = 720

Substituting x = 720 into 3200 = 5(x - y )

x - y = 3200/5 = 640

y = 720 - 640 = 80

4 0
3 years ago
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