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4 years ago

Solve the system of equations.

Mathematics

1 answer:

Ad libitum [116K]4 years ago

6 0

Answer:

Step-by-step explanation:

X=(54-3y)/10 and 5y-2×(54-3y)/10=34

=> 5y- (2×54)/10+(2×3y)/10=34

=>y=8

=>x=(54-3×8)=30

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a cylinder and a cone have the same radius and height. The volume of the cylinder is 534ft3 . what volume of the cone?

DochEvi [55]

Answer: 178 ft^3

Step-by-step explanation:

A cylinder has the formula V=pi radius ^2 height

A cone has the formula V= 1/3 pi radius ^2 height

So 1/3 of the volume of the cylinder is the volume of a cone

1/3 of 534 = 178 ft^3

5 0

2 years ago

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

grigory [225]

Answer:

Tt = Ts + Ce^-kt

Tt = 62 + 138e^-0.0068t

Step-by-step explanation:

The initial value problem for the Newton cooling rate is :

Tt = Ts + Ce^-kt

Initial temperature,when freshly poured Ti = 200°F

Temperature after 11 minutes = 190°F

Temperature of room, Ts= 62°F

Using the relation :

Tt = Ts + Ce^-kt

Temperature after time, t

When freshly poured, t = 0

k = constant of proportionality

We can then solve for C and k as follows :

200 = 62 + Ce^-0k

200 = 62 + C

C = 200 - 62 = 138°F

Using the Temperature after 11 minutes ; we can find, k, proportionality constant:

Temperature, Tt after, t = 11 minutes = 190

Tt = Ts + Ce^-kt

190 = 62 + 138e^-11k

128 = 138e^-11k

128 / 138 = e^-11k

0.9275 = e^-11k

Take In of both sides :

−0.075223 = - 11k

k = −0.075223 / - 11

k = 0.0068

The model function becomes :

Ts = 62 ; C = 138

Tt = 62 + 138e^-0.0068t

3 0

3 years ago

which of these can be rewritten as an exact answer without the square root symbol? √4 √125 √0.6 √12.35 Thank you :)

Goshia [24]

Answer:

$\sqrt{4}$

Step-by-step explanation:

Because

→ $\sqrt{4}$ is equal to 2

→ $\sqrt{125}$ is equal to $5\sqrt{5}$ or 11.18033989

→ $\sqrt{0.6}$ is equal to $\frac{\sqrt{15} }{5}$ or 0.7745966692

→ $\sqrt{12.35}$ is equal to 3.514256678

6 0

4 years ago

Read 2 more answers

HELP ASAP❗️

algol13

Answer:

number one is c y= -3/4x+8 and b is Formula for hourly rate from salary

To figure out your hourly wage based on your yearly salary, all you do is this: Take your yearly salary and divide that number by 52 (the number of weeks in a year) and then by 40 (the number of hours in a standard work week).

Step-by-step explanation:

8 0

3 years ago

Find the surface area of the composite figure. 4 cm 3 cm 5 cm 3 cm 4 cm 5 cm 6 cm 4 cm If you'd like, SA = [ ? ] cm2 you can use

IrinaVladis [17]

The surface area of the composite figure is 144 square cm after calculating separately.

<h3>What is a triangular prism?</h3>

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.

We have a composite figure made up of a triangular prism and a cuboid

First we calculate the surface area of the triangular prism:

= 2(area of one triangle) + area of three rectangles

= 2[(1/2)6×4] + 3×5 + 3×5

= 24 + 15 + 15

= 54 square cm

Surface area of rectangle(with three faces) = 2(4×3 + 4×6) + 3×6

= 2(12 + 24) + 18

= 72 + 18 = 90 square cm

Total surface area of figure = 54+ 90 = 144 square cm

Thus, the surface area of the composite figure is 144 square cm after calculating separately.

Learn more about triangular prisms here:

brainly.com/question/16909441

#SPJ1

7 0

2 years ago