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MrMuchimi
4 years ago
5

Add the mutiple fraction then simply the answer use #/# format 1/3+1/4+1+9=

Mathematics
1 answer:
Maslowich4 years ago
6 0
First, simplify the given expression:  combine 1 and 9 to get 10.
Then the problem reduces to 1/3 + 1/4 + 10.

The LCD of these two fractions is 12, and so, after conversion to LCD 12, we get

4+3
----- + 10 => 10 7/12, or 127/12
 12
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A cylinder has a volume of 360 in^3. If the height and radius are multiplied by 2.5, what will the resulting volume be?
4vir4ik [10]
\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2.5r\\
h=2.5h
\end{cases}\implies V=\pi (2.5r)^2(2.5h)
\\\\\\
V=\pi \cdot 2.5^2\cdot  r^2\cdot 2.5h\implies V=(2.5^2\cdot 2.5)\pi r^2 h
\\\\\\
V=15.625\pi r^2h\impliedby \textit{15.625 of the original}
\\\\\\
\textit{if the original was 360}\qquad 15.265\cdot 360
5 0
3 years ago
Complete the inequality statement. 5/11 ___ 7/11< > =
neonofarm [45]
It would be the arrow pointing left
6 0
3 years ago
If sin (A+B)=1 and tan (A-B)=1/sqroot 3<br><br> are acute angles. find out the value of A and B​
Nataliya [291]

Answer:

A = 60° , B = 30°

Step-by-step explanation:

sin(A+B ) = 1\\\\\  \  \ (A + B) \  = \ \ sin^{-1} 1\\\\A + B = 90^\circ  --(1)\\\\ \ tan (A - B) = \frac{1}{\sqrt{3}}\\\\(A-B) = tan^{-1}\frac{1}{\sqrt3}}\\\\A - B =  30^\circ --(2)\\\\ (1)  + (2) => 2A = 120^\circ\\

                   A = 60^\circ

from \ (1) \\A + B = 90^\circ\\60^\circ + B = 90^\circ\\B = 90^\circ - 60^\circ\\B = 30^\circ

                 

7 0
3 years ago
An infinite geometric series has 1 and 1/5 as its first two terms: 1, 1/5, 1/25, 1/125, . . . What is the sum, S, of the infinit
dezoksy [38]

Answer:  \dfrac{5}{4}

Step-by-step explanation:

Given: The first term of Geometric series : a=1

The seconds term of Geometric series : ar=\dfrac{1}{5}

The common ratio between the terms is given by :-

r=\dfrac{ar}{a}=\dfrac{\frac{1}{5}}{1}=\dfrac{1}{5}

We know that the sum of infinite geometric series is given by :-

S_{\infty}=\dfrac{a}{1-r}\\\\\Rightarrow\ S_{\infty}=\dfrac{1}{1-\frac{1}{5}}=\dfrac{1}{\frac{4}{5}}\\\\\Rightarrow\ S_{\infty}=\dfrac{5}{4}

Hence, the sum of the given infinite series = \dfrac{5}{4}

7 0
3 years ago
If the area of the rectangle below is 126 square meters, find the value of x.
amid [387]

Answer:

x = 5

Step-by-step explanation:

The area (A) o a rectangle is calculated as

A = lb ( l is length and b the breadth ), thus

x² + x - 12 × \frac{x+9}{x-3} = 126 ← factor the quadratic

(x + 4)(x - 3) × \frac{x+9}{x-3} = 126 ← cancel the common factor (x - 3)

(x + 4)(x + 9) = 126 ← expand factors using FOIL

x² + 13x + 36 = 126 ( subtract 126 from both sides )

x² + 13x - 90 = 0 ← in standard form

(x + 18)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 18 = 0 ⇒ x = - 18

x - 5 = 0 ⇒ x = 5

However x > 0 ⇒ x = 5

5 0
4 years ago
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