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2 years ago

How to reduce the fraction 10/63

Mathematics

2 answers:

mr_godi [17]2 years ago

6 0

I'm pretty sure 10/63 is simplified.

Stels [109]2 years ago

5 0

It cannot be reduced because it does not have the same factors.

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F = 0.272727... <br> 100f = (100) (0.272727...) <br> 100f = ?

olya-2409 [2.1K]

100f = 27.272727.....

5 0

2 years ago

Read 2 more answers

what is the slope of a line that is parallel to the line that passes through the points (2,-2) and (5,-1)

Phoenix [80]

Answer:1/3

Step-by-step explanation:

The formula for finding slope is (y2-y1)/(x2-x1)

(-1--2)/(5-2)

1/3

4 0

2 years ago

Theo had a balance of -4 in his savings account. After making a deposit , he has $25 in his account . What is the overall change

ozzi

Theos initial balance in his savings account = -$4
Final balance after making a deposit = $25
So, the overall change to his account = $ 29

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2 years ago

Which of the following matrices is the solution matrix for the given system of equations? x + 5y = 11 x - y = 5

givi [52]

<h2>The required solution is x = 6 and y = 11 </h2>

Step-by-step explanation:

Given system of equations are

x+5y = 11 and x-y =5

$A= \left[\begin{array}{cc}1&5\\1&-1\end{array}\right]$ $X=\left[\begin{array}{c}x\\y\end{array}\right]$

and $B= \left[\begin{array}{c}11\\5\end{array}\right]$

∴AX=B

$adj A = \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]$

$A= \left|\begin{array}{cc}1&5\\1&-1\end{array}\right|=-6$

∴ $A^{-1} =\frac{adj A}{|A|}$

So, $A^{-1} =\frac{ \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]}{-6}$

$A^{-1} ={ \left[\begin{array}{c \c} {{\frac{1}{6} }}&{\frac{5}{6}}\ \\ {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]}$

$X =A^{-1}\times B$

⇒ $\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c \c} {{\frac{1}{6} }}&{\frac{5}{6}}\ \\ {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]} \times \left[\begin{array}{c}11\\5\end{array}\right]$

⇒ $\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c} {6}\\ {11} \end{array}\right]}$

∴ x= 6 and y = 11

The required solution is x = 6 and y = 11

7 0

2 years ago

A triangular field has sides 218.5 and 213.3 and the angle between them measures 58.96°. Find the area of the field.

Zolol [24]

Answer:

The area of the field = 19966.21 units²

Step-by-step explanation:

* Lets explain how to find area of a triangle by trigonometry rule

- In any triangle if you have the lengths of two sides and the measure

of the including angle between these two sides, then the area of the

triangle is A = $\frac{1}{2}s_{1}s_{2}sin\alpha$ , wher α is the

including angle between them

* Lets solve the problem

∵ The field is shaped triangle

∵ The lengths of two sides of the field are 218.5 and 213.3

∴ s1 = 218.5

∴ s2 = 213.3

∵ The measure of the angle between the two sides is 58.96°

∴ α = 58.96°

- Lets find the area using the rule of trigonometry

∴ $A=\frac{1}{2}(218.5)(213.3)sin(58.96)=19966.21$

∴ The area of the field = 19966.21 units²

4 0

2 years ago