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Tamiku [17]
3 years ago
13

HELP!!! 10 points and marked brainliest

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0

Answer:

m=2

Step-by-step explanation:

RS=2m+2

ST=3m+3

RT=15

m=2

RS=2(2)+2

RS=4+2

RS=6

ST=3(2)+3

ST=6+3

ST=9

Because S is in the middle of RT, if you add RS and ST together, you will get the length of RT.

6+9=15

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sukhopar [10]

Answer:

0; 1/4; 1/2; 1.5; 1.75 and 1 and 3/4 are the same.

Step-by-step explanation:

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3 years ago
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Fantom [35]

Answer:

18....I hope thats righ

Step-by-step explanation:

7 0
3 years ago
8th grade math . Pythagorran practice <br>​
Serhud [2]

The answers according to rows are:

  • ROW 1 : diameter of base = 10,  base area = 25π, volume of cylinder = 175π    volume of cone = \frac{175}{3}π
  • ROW 2 : base radius = 3, base area = 9π, height = 40/3, volume of cylinder = 120π
  • ROW 3 : base radius = 6, base diameter = 12, height = 4, volume of cylinder = 144π

<h3>What is mensuration?</h3>

Mensuration is an aspect of geometry that deals with measurement of volumes and area.

Analysis:

Row 1

Diameter of base = 2 x radius = 2 x 5 = 10

Base area = πr^{2} = π(5)^{2} = 25\pi

Volume of cylinder = base area x height = 25π x 7 = 175π

Volume of cone  = 1/3 x volume of cylinder = 175π/3

Row 2

Base radius = base diameter/2 = 6/2 = 3

Base area = πr^{2} = π(3)^{2} = 9π

Volume of cone = 1/3 x base area x height

base area x height  = 3 x volume of cone

base area x height = 3 x 40π

Height = 120π/9π = 40/3

Cylinder volume = 3 x cone volume = 3 x 40π = 120π

Row 3

Base area = πr^{2}

36π =  πr^{2}

r2 = \sqrt{36}

r = 6

Base diameter = 2 x 6 = 12

Volume of cone  = 1/3 x base area x height

48π = 1/3 x 36π x height

Height = 4

Cylinder volume = 3 x 48 = 144π

In conclusion,

ROW 1 : diameter of base = 10,  base area = 25π, volume of cylinder = 175π

volume of cone = \frac{175}{3}π

ROW 2 : base radius = 3, base area = 9π, height = 40/3, volume of cylinder = 120π

ROW 3 : base radius = 6, base diameter = 12, height = 4, volume of cylinder = 144π

Learn more about mensuration: brainly.com/question/18541562

#SPJ1

4 0
2 years ago
How do you find the area of this composite figure?
Yanka [14]
Split the shape into smaller shapes, (see attachment)
find the area of the split shapes. So first find the area of the triangles
A = 1/2bh
A = 1/2*2*3
A = 1/2*6
A = 3
so that is the area of one triangle. the area of the other is
A = 1/2*4*3
A = 1/2 * 12
A = 6
now find the area of the rectangle
A = l*w
A = 9*3
A = 27
add them all together
27 + 6+ 3 = 36
the area of the total figure is 36

5 0
3 years ago
Kryptonite is a material found on the planet Krypton and has various effects, most importantly on Superman. The most common type
Rashid [163]

Answer:

The maximum amount of red kryptonite present is 33.27 g after 4.93 hours.

Step-by-step explanation:

dy/dt = y(1/t - k)

separating the variables, we have

dy/y = (1/t - k)dt

dy/y = dt/t - kdt

integrating both sides, we have

∫dy/y = ∫dt/t - ∫kdt

㏑y = ㏑t - kt + C

㏑y - ㏑t = -kt + C

㏑(y/t) = -kt + C

taking exponents of both sides, we have

\frac{y}{t} = e^{-kt + C}  \\\frac{y}{t} = e^{-kt}e^{C} \\\frac{y}{t} = Ae^{-kt}   (A = e^{C})\\y = Ate^{-kt}

when t = 1 hour, y = 15 grams. So,

y = Ate^{-kt}\\15 = A(1)e^{-kX1}\\15 = Ae^{-k}(1)

when t = 3 hours, y = 30 grams. So,

y = Ate^{-kt}\\30 = A(3)e^{-kX3}\\30 = 3Ae^{-3k} (2)

dividing (2) by (1), we have

\frac{30}{15}  = \frac{3Ae^{-3k}}{Ae^{-k}} \\2 = 3e^{-2k}\\\frac{2}{3} = e^{-2k}

taking natural logarithm of both sides, we have

-2k = ㏑(2/3)

-2k = -0.4055

k = -0.4055/-2

k = 0.203

From (1)

A = 15e^{k} \\A = 15e^{0.203} \\A = 15 X 1.225\\A = 18.36

Substituting A and k into y, we have

y = 18.36te^{-0.203t}

The maximum value of y is obtained when dy/dt = 0

dy/dt = y(1/t - k) = 0

y(1/t - k) = 0

Since y ≠ 0, (1/t - k) = 0.

So, 1/t = k

t = 1/k

So, the maximum value of y is obtained when t = 1/k = 1/0.203 = 4.93 hours

y = 18.36(1/0.203)e^{-0.203t}\\y = \frac{18.36}{0.203}e^{-0.203X1/0.203}\\y = 90.44e^{-1}\\y = 90.44 X 0.3679\\y = 33.27 g

<u>So the maximum amount of red kryptonite present is 33.27 g after 4.93 hours.</u>

3 0
3 years ago
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