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3 years ago

Find the missing length.

Mathematics

2 answers:

Mazyrski [523]3 years ago

7 0

To find the missing length of this triangle you need to use the Pythagorean Theorem.

As shown in the image we are given three sides: 1, 8 and c and so you have to substitute these numbers into the equation a squared + b squared = c squared.

So it should look like:

1 squared + 8 squared = c squared, so solve it to be

1 + 64 = c squared which is 65 = c squared

Now you have to isolate the variable c because that is what you are trying to find so you must square root both sides:

$\sqrt{65}$ = c

So that should be your answer.

Hope this helps!

(if it doesn't work then you might have to simplify)

frez [133]3 years ago

3 0

Answer:

apprx. 8.06

Step-by-step explanation:

I hope this helps :)

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3 years ago

A horizontal line has points J, K, L. A line extends from point K up and to the right to point M. Angle J K M is (10 y + 6) degr

Temka [501]

Answer:

The found values are:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

(See the diagram attached)

As JKL is a straight horizontal line, angle measure from JK to KL is 180°.

We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.

Which means that the sum of <JKM and <MKL is equals to 180°.

Mathematically, it can be written as:

Substitute the values of both angle to solve the equation:

$(10y+6)+(8y-6) = 180\\18y=180\\y=\frac{180}{18}\\y=10$

Put in the formulas of both angle to find their values:

<JKM = 10y + 6

<JKM = 10(10)+6

<JKM = 106°

<MKL = 8y - 6

<MKL = 8(10)-6

<MKL = 74°

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$\cos\dfrac{3x}2=\cos\left(\dfrac\pi2+\dfrac x2\right)$
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follows from the fact that the cosine function is $2\pi$ -periodic, which means $\cos x=\cos(2\pi+x)$ . Roughly speaking, this is the same as saying that a point on a circle is the same as the point you get by completing a full revolution around the circle (i.e. add $2\pi$ to the original point's angle with respect to the horizontal axis).

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