Answer: Equilateral triangles are also right triangles sometimes. All angles of an equilateral are congruet sometimes.
Answer:
the answer might be 150 ft
Step-by-step explanation:
adds on 30
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19NBoli
<span>If f(x) = 2x + 3 and g(x) = (x - 3)/2,
what is the value of f[g(-5)]?
f[g(-5)] means substitute -5 for x in the right side of g(x),
simplify, then substitute what you get for x in the right
side of f(x), then simplify.
It's a "double substitution".
To find f[g(-5)], work it from the inside out.
In f[g(-5)], do only the inside part first.
In this case the inside part if the red part g(-5)
g(-5) means to substitute -5 for x in
g(x) = (x - 3)/2
So we take out the x's and we have
g( ) = ( - 3)/2
Now we put -5's where we took out the x's, and we now
have
g(-5) = (-5 - 3)/2
Then we simplify:
g(-5) = (-8)/2
g(-5) = -4
Now we have the g(-5)]
f[g(-5)]
means to substitute g(-5) for x in
f[x] = 2x + 3
So we take out the x's and we have
f[ ] = 2[ ] + 3
Now we put g(-5)'s where we took out the x's, and we
now have
f[g(-5)] = 2[g(-5)] + 3
But we have now found that g(-5) = -4, we can put
that in place of the g(-5)'s and we get
f[g(-5)] = f[-4]
But then
f(-4) means to substitute -4 for x in
f(x) = 2x + 3
so
f(-4) = 2(-4) + 3
then we simplify
f(-4) = -8 + 3
f(-4) = -5
So
f[g(-5)] = f(-4) = -5</span>
Answer:
x ≈ 3.5 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin23° =
=
=
( multiply both sides by 9 )
9 × sin23° = x , then
x ≈ 3.5 cm ( to 1 dec. place )
Answer:
4
Step-by-step explanation:
The degree of a polynomial is the highest degree of a monomial contained within the polynomial. The degree of the monomial is the sum of the exponents on the variables. Example, the degree of -4x^6y is 6+1=7.
Example, the degree of 4x^8 is 8.
So the degree of 5x^4 is 4.
The degree of 3x^2 is 2.
The degree of 1 is 0 since there is no variable in this expression.
So the degree of 5 x^4 + 3 x^2 + 1 is 4.