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3 years ago

ABC , A is a right angle and mB=45, Find BC.

Mathematics

2 answers:

Vinil7 [7]3 years ago

7 0

$\sqrt{ {11}^{2} + {11}^{2} } = 11 \sqrt{2}$

sweet [91]3 years ago

4 0

I believe D is the right answer

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Find all solutions for a triangle with a = 14, b= 12, and B = 90°.

ziro4ka [17]

Answer:

No solution.

Step-by-step explanation:

Given

$a = 14; b= 12; B = 90^\circ$

Required

Find all possible solutions

If $B = 90^\circ$ , then the triangle is right-angled and the hypotenuse is at b

Given that $a = 14; b= 12;$

This implies that a > b

In a right-angled triangle, the hypotenuse (side b) is the longest.

Since this is not true for the given sides, then the triangle has no solution.

5 0

3 years ago

Solve x2 − 10x = −13.

aev [14]

Answer:

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial $x^{2}-10x+13$ . We can now use the quadratic formula to solve.

Remember that the quadratic formula is

$\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

Substitute the numbers from the equation into the formula.

$\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}$

Simplify:

$\frac{10+/-\sqrt{100-52} }{2}$

$\frac{10+/-\sqrt{48} }{2}$

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with $5+/-\sqrt{48}$ .

Hope this helps!

6 0

3 years ago

Make y the subject of the formula W= x squared - 2yz

AveGali [126]

Answer:

The formula $y = \frac{x^{2} }{2z} + \frac{W}{2z}$

Step-by-step explanation:

Explanation

Given W = x² - 2 y z

2 y z = x² + W

Dividing '2z' on both sides , we get

$\frac{2yz}{2z} = \frac{x^{2} + W}{2z}$

⇒ $y = \frac{x^{2} }{2z} + \frac{W}{2z}$

4 0

3 years ago

Factor the following expression. Simplify your answer. 3s(s - 1)^1/3 + 2(s - 1)^4/3

denis23 [38]

Answer:

Step-by-step explanation:

$3s\sqrt[3]{s-1} + 2 \sqrt[4/3]{s-1} =\\3s\sqrt[3]{s-1} + 2 \sqrt[1/3]{(s-1)^4} =\\3s\sqrt[3]{s-1} + 2 (s-1)\sqrt[1/3]{s-1} =\\\sqrt[3]{s-1}*(3s + 2 (s-1)) =\\\sqrt[3]{s-1}*(3s + 2s-2)) =\\\sqrt[3]{s-1}*(5s -2) \\$

6 0

2 years ago

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each year for 5 years the time it takes you to run a mile decreases by 8 seconds. find the total change in time

MArishka [77]

-40 seconds
simple as that

3 0

3 years ago

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