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Harman [31]
3 years ago
8

your brother is 1.3 your age. your sister is 6 years older tahn your brother.Your sister is 10 years old. Write and solve a equa

tion to find your age a
Mathematics
1 answer:
Papessa [141]3 years ago
4 0

Answer:

My age is 12 years.

Step-by-step explanation:

Given:

Sister's age = 10 years

Let my age be x.

Now according to question;

my brother's age is 1/3 of my age

So brother's age = \frac{1}{3}x

Also according to question;

my sister is 6 years older than my brother;

Sister's age = 6+\frac{1}{3}x

Also given Sister's age = 10 years

hence equation to find my age will be expressed as below;

6+\frac{1}{3}x = 10\\\\\frac{1}{3}x = 10-6\\\\\frac{1}{3}x = 4\\\\\therefore x = 4\times3 = 12

Brothers age = \frac{1}{3}x=\frac{1}{3}\times12=4

Hence my age is 12 years.

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3 years ago
two sides of a parallelogram meet at an angle of 50 degrees. If the length of one side is 3 meters and the length of the other s
Anon25 [30]

Answer:

The longer diagonal has a length of 7.3 meters.

The angles are 31.65° and 18.35°

Step-by-step explanation:

If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:

50°, 130° and 130°.

The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.

Using the law of cosines in one of these two triangles, we have:

diagonal^2 = a^2 + b^2 - 2ab*cos(130\°)

diagonal^2 = 3^2 + 5^2 - 2*3*5*(-0.6428)

diagonal^2 = 53.284

diagonal = 7.3\ meters

So the longer diagonal has a length of 7.3 meters.

To find the angles that this diagonal forms with the sides, we can use the law of sines:

a / sin(A) = b/sin(B)

5 / sin(A) = diagonal / sin(130)

sin(A) = 5 * sin(130) / 7.3

sin(A) = 0.5247

A = 31.65\°

The other angle is B = 50 - 31.65 = 18.35°

Please check the image attached for better comprehension.

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3 years ago
Find the value of the expression:<br><br><br><br> 56 ÷ 7 + 7 × 3
miv72 [106K]
First, you have to apply the order of operations. 

Division and multiplication come first here and they go from left to right. So, 

56/7 = 8 
7*3 = 21 
Then, the addition. 
8 + 21 = 29. 

So the value of your expression is 29.
3 0
3 years ago
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