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3 years ago

Two sides of an isosceles triangle have lengths of 3 and 10. Find the length of the third side.

Mathematics

1 answer:

lora16 [44]3 years ago

8 0

Answer:

The third side must be 10: {3, 10, 10}; {10, 3, 3} is not possible.

Step-by-step explanation:

Everything depends on our understanding of "isosceles."

This term indicates that two sides of a given triangle are equal.

If two sides of an isosceles triangle have lengths of 3 and 10, then:

Either 1) Two sides have length 10 and the third side has length 3. This is certainly possible

2) sides have length 3 and the third side has length 10. This is NOT possible, since 3 + 3 adds up to 6, which is less than 10.

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The function y = x 2 – 4x + 8 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one fence

Alla [95]

Answer:

Exterme Value: $(2,4)$ .

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

Step-by-step explanation:

The given function is $y=x^2-4x+8$ .

We add and subtract the square of half the coefficient of x.

$y=x^2-4x+(-2)^2-(-2)^2+8$ .

The first three terms form a perfect quadratic trinomial.

$y=(x-2)^2+4$ .

This function is now written in the form $y=a(x-h)^2+k$ , where (h,k) is the extreme value(vertex).

The extreme value or the vertex is $(2,4)$ .

Interpretation:

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

3 0

3 years ago

The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra

ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
From term 2 to term 3, there's a decrease also by $\frac{1}{5}$

The rule to find the $n^{th}$ term in a sequence is
$n^{th}=a r^{n-1}$ , where $a$ is the first term in the sequence and $r$ is the ratio

So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
$S_{∞} = \frac{a}{1-r}$ for -1<r<1
Substituting $a=1000$ and $r= \frac{1}{5}$ we have
$S_{∞}$ = $\frac{1000}{1- \frac{1}{5} }$ = 1250

Hence, the correct option is option number 1

6 0

3 years ago

What is parallel to y=-2x+2 and goes through the points (-1,5).

Shtirlitz [24]

Your answer is: y= -2x+3