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iren2701 [21]
2 years ago
5

X/2 - (5x-3)/12 = 1/3 x - 0.75solve for x

Mathematics
1 answer:
Lelu [443]2 years ago
6 0

The value of x from the given equation is -2

<h3>Equations and expressions</h3>

Equations are expressions separated by an equal sign.

Given the expression

x/2 - (5x-3)/12 = 1/3 x - 0.75

Find the LCM

6x-(5x-3)/12 = 1/3 x - 0.75

(x+3)/12 = 1/3 x - 0.75

(x+3)/12 - x/3 = -0.75

(x+3-4x)/12 = 0.75

-3x +3 = 9

Subtract 3 from both sides

-3x = 9 - 3

-3x = 6

x = -2

Hence the value of x from the given equation is -2

Learn more on equation here: brainly.com/question/2972832
#SPJ1

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A ladder is leaning against the side of a house and forms a 65 degree Angel with the ground. The foot of the ladder is 8 feet fr
charle [14.2K]

Answer:

the length of the ladder is 8.827ft

Step-by-step explanation:

We know that the angle formed between the floor and the stairs is 65 °

the height at which the ladder reaches is 8 feet

between the floor and the house we know that we have a 90 degree angle

so we have a right triangle with its 8 foot wall leg

and an angle of 65 degrees on the floor and the stairs

the length of the stairs in this triangle would represent the hypotenuse

we have the angle and measure of the opposite leg, we want to know the hypotenuse

it is known that the sine of an angle in a rectangular triangle is equal to the opposite leg on the hypotenuse

sin 65° = op / hyp

sin 65° = 8 / hyp

0.9063 = 8 / hyp

hyp = 8 / 0.9063

hyp = 8.827

4 0
3 years ago
Joseph and Sanjay are trying to finish their math homework before their favorite TV show starts. Joseph finishes 2/3 of his prob
kicyunya [14]
The correct answer is Sanjay! :)

Explanation:
Joseph: 2/3
Sanjay: 5/7
2/3 and 5/7
14/21 and 15/21
Therefore, Sanjay is the answer.
5 0
3 years ago
Find the volume of the garden shed
Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}

<h3><u>Volume of a pyramid</u></h3>

<u />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.  

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}

Therefore:

\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}

<h3><u>Volume of the garden shed</u></h3>

\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}

6 0
1 year ago
Read 2 more answers
What is the Radius of a circle if a 16 unit chord is 6 units from the center of the circle
velikii [3]

Answer:

radius = 10 units

Step-by-step explanation:

using the Pythagorean theorem:

height of triangle = 6 units

base of triangle = 16/2 = 8 units

radius² = 6² + 8² = 36 + 64 = 100

radius = √100 = 10 units

6 0
4 years ago
Use a graphing utility to find the sum of the geometric sequence.
Tanzania [10]

Answer:

its 5

Step-by-step explanation:

bruh

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3 years ago
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