Answer:
-21.5
Step-by-step explanation:
-12-6=-18 minus 3.5=-21.5
Answer:
Y intersect and X intersect
A <u>triangle</u> is an example of a class of <em>figures</em> referred to as <em>plane shapes</em>. It has <u>three</u> straight <u>sides</u> and <u>three</u> internal <u>angles</u> which sum up to . The <em>measures</em> of the internal <u>angles</u> of the <u>triangle</u> given in the question are A = , B = , and C = .
A <u>triangle</u> is an example of a class of <em>figures</em> referred to as <em>plane shapes</em>. It has <u>three</u> straight <u>sides</u> and <u>three</u> internal <u>angles</u> which sum up to .
Considering the given question, let the <u>sides</u> of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.
Apply the <em>Cosine rule</em> to have:
= + - 2ab Cos C
So that;
= + - 2(6 * 6.5) Cos C
49 = 36 + 42.25 - 78Cos C
78 Cos C = 78.25 - 49
= 29.25
Cos C =
= 0.375
C = 0.375
= 67.9757
C =
Apply the <em>Sine rule</em> to determine the <u>value</u> of B,
=
=
SIn B =
= 0.861
B = 0.861
= 59.43
B =
Thus to determine the value of A, we have;
A + B + C =
A + + =
A = - 127.4
= 52.6
A =
Therefore the <u>sizes</u> of the <em>internal angles</em> of the triangle are: A = , B = , and C = .
For more clarifications on applications of the Sine and Cosine rules, visit: brainly.com/question/14660814
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The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
<h3>How to find the factors of a quadratic expression?</h3>
If the given quadratic expression is of the form
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
Then writing b in terms of alpha and beta would help us getting common factors out.
Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.
For this case, we're provided the expression:
We can write 10 as multiple of -5 and -2 and
we can write -7 as sum of -5 and -2. Thus, we get:
Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
Learn more about factorization of quadratic expression here:
brainly.com/question/26675692
I’m just going off of what I was told in fifth grade, and we were told it was finger nails. Hope this helps!