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3 years ago

Mathematics algebra essay

Mathematics

1 answer:

Komok [63]3 years ago

8 0

Answer:

The answer is D $3.35

Step-by-step explanation:

$2.35 + .25x = 1.75 + .40x \\ 2.35 = 1.75 + .40x - .25x \\ 2.35 = 1.75 + .15x \\ 2.35 - 1.75 = .15x \\ .60 = .15x \\ \frac{.60}{.15} = x \\ x = 4$

$2.35 + .25(4) = 2.35 + 1 = 3.35$

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The fountain is made up of two semicircles and one quarter circle. Find the perimeter and area of the fountain.

antoniya [11.8K]

Answer:

628ft²

Step-by-step explanation:

From the diagram, we are given the following

diameter of the semicircles

2semi circles = 1 circle

Area of 2semicircles = πd²/4

Area of 2semicircles = 3.14(20)²/4

Area of 2semicircles = 3.14*400/4

Area of 2semicircles = 3.14*100

Area of 2semicircles = 314ft²

Area of the quarter circle = πd²/4 * 1/4

Area of the quarter circle = πd²/16

d = 2r

d = 2*20

d = 40ft

Area of the quarter circle = 3.14(40)²/16

Area of the quarter circle = 3.14*1600/16

Area of the quarter circle = 3.14*100

Area of the quarter circle = 314ft²

Area of the fountain = 314ft²+314ft²

Area of the fountain = 628ft²

3 0

3 years ago

Solve the simultaneous equations

Contact [7]

Answer:

The solution for given system of equations is: x = 6 and y = 3

(6,3)

Step-by-step explanation:

Given equations are:

$3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2$

There are three methods to solve simultaneous equations

Elimination
Substitution
Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

$3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3$

Putting y = 3 in equation 2

$3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x = 6$

Hence,

The solution for given system of equations is: x = 6 and y = 3

(6,3)

7 0

3 years ago

Solve 4x+2=12 for using the change of base formula logby=logy over logb

s2008m [1.1K]

Answer:

log₄ 10 = log₁₀ 10 / log₁₀ 4

Step-by-step explanation:

Taking the x to be a power then;

$4^x +2 =12$

$4^x = 12-2$

$4^x=10$

Introduce log on both sides

x log 4= log 10

x= log 10/log 4

log₄ 10 = log₁₀ 10 / log₁₀ 4

8 0

3 years ago

Read 2 more answers

Calculate the value of the expression 18/-3

alexgriva [62]

Answer:

-6

Step-by-step explanation:

Any number that is divided by a negative number is a negative number as an answer which is -6.

7 0

3 years ago

Read 2 more answers

Solve 12^2+5x-4 =12^2x+6

torisob [31]

answer I got was x=6/139 or x=-0.0431655

7 0

3 years ago