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garik1379 [7]
2 years ago
8

the perimeter of a triangle is 49cm.One side is 7cm longer than another side and 5cm shorter than the third side find sides

Mathematics
1 answer:
pogonyaev2 years ago
8 0

<em>P = a + b + c = 49 cm</em>

<em>a = b + 7 => b = a - 7</em>

<em>a = c - 5 => c = a + 5</em>

<em>_____________________</em>

<em>a + (a - 7) + (a + 5) = 49</em>

<em>3a = 49 + 7 - 5</em>

<em>3a = 51 </em>

<em>a = 17 cm</em>

<em>b = 17 - 7 = 10 cm</em>

<em>c = 17 + 5 = 22 cm</em>

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U(8, 9) and V(2, 5) are the endpoints of a line segment. What is the midpoint M of that line segment?
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Answer:

The midpoint M is (5,7)

Step-by-step explanation:

m = ( \frac{x1 + x2}{2} , \frac{y1  + y2}{2} )

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A mysterious orb is in the shape of a sphere with radius 9.5 inches. Find the volume and surface
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A 9.5-inch-diameter spherical in the shape of a strange orb is present. 3591.36 m3 of volume and surface

<h3>Explain about the Radius?</h3>

The radius of a circle is the separation between any two points on its circumference. R or r is typically used to indicate it.

The diameter of a circle cuts through the centre whereas the radius extends from the centre to the edges of the circle. The diameter of a circle effectively divides the shape in two.

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1 year ago
If log2 5 = k, determine an expression for log32 5 in terms of k.
lukranit [14]

Answer:

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Step-by-step explanation:

Let's start by using change of base property:

log_b(x)=\frac{log_a(x)}{log_a(b)}

So, for log_2(5)

log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)

Now, using change of base for log_3_2(5)

log_3_2(5)=\frac{log(5)}{log(32)}

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Using reduction of power property:

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log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)

As you can see the only difference between (1) and (2) is the coefficient \frac{1}{5} :

So:

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