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Masja [62]
3 years ago
14

Give the dimensions of the rectangle with an area of 100 square units and whole number side lengths that has the largest perimet

er and the smallest perimeter?
Mathematics
1 answer:
attashe74 [19]3 years ago
8 0
25 and 4=100. length times width. 
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The figure shows a triangle with an angle bisector. If angle SUT= 34°, find the measurement of angle 1?
Burka [1]

The ANGLE BISECTOR mentioned in the problem is simply just a line that separates an angle in half.

Meaning if it bisects ∠SUT which is 34. It just means that it divides the angle 34 into 2 equal parts.

Therefore ∠1 is just one-half of the ∠SUT.

\begin{gathered} m\angle1=\frac{\angle SUT}{2} \\ m\angle1=\frac{34}{2} \\ m\angle1=17 \end{gathered}

Therefore the measurement of ∠1 is 17°.

8 0
1 year ago
The perimeter of a triangle is not greater than 12 and the lengths of sides are natural numbers.
weqwewe [10]

Answer:

3 triangles

Step-by-step explanation:

Perimeter of triangle = a + b + c

Given that :

P = 12

and a, b, c are natural numbers

Let :

Side A = a

Side B = b

Side C = 12 - (a + b)

Side A + side B > side C - - - (condition 1)

a + b > 12 - (a + b)

a + b > 12 - a - b

a + a + b + b > 12

2a + 2b > 12

2(a + b) > 12

a + b > 6

Side A - side B < side C

a - b < 12 - (a + b)

a - b + a + b < 12

2a < 12

a < 6

b < 6 (arbitrary point)

Going by the Constraint above :

The only three possibilities are :

(2, 5, 5)

(3, 4, 5)

(4, 4, 4)

Total number of triangle = 3

Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1

Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1

3 0
3 years ago
Point m is the midpoint of AB. if the coordinates of m (2,8) in the coordinates of A (10, 12) are the coordinates of B
vivado [14]
Point m is the midpoint of AB. if the coordinates of m (2,8) in the coordinates of A (10, 12) are the coordinates of B this is your answer 4/8
8 0
3 years ago
Read 2 more answers
the ratio of sadia's age to her father's age is 3:6. The sum of their age is 96 .What is sadia's age​
max2010maxim [7]

We have,

a:b=3:6,a+b=96

Introduce variable x such that a=3x,b=6x

The sum a+b=96 is therefore 9x=96\implies x=10.\overline{6}

So,

a=3\cdot10.\overline{6}=\boxed{32} (sadia's age)

b=6\cdot10.\overline{6}=\boxed{64} (father's age)

Hope this helps :)

4 0
3 years ago
Whats the differnce in (5x+4)-(x+2)
melomori [17]

Answer:

4x+2

Step-by-step explanation:

(5x+4)-(x+2)=(5-1)*x+(4-2)=4x+2

3 0
3 years ago
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