Answer:
x=20
Step-by-step explanation:
The Pythagorean theorem is
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse.
The legs are x and 15 and the hypotenuse is 25
x^2 + 15^2 = 25^2
x^2 +225 = 625
Subtract 225 from each side
x^2 +225-225 = 625-225
x^2 = 400
Take the square root of each side
sqrt(x^2) = sqrt(400)
x = 20
Answer: The function is negative for all real values of x.where
x < -2.
Step-by-step explanation:
Because the values -4 and -6 are less than -2 which is the basis of the statement highlighted as the right one.
Rewrite the equation;
3x-y=3
3x-3=y
Linear equation.
I'm unsure of what the second part asks. Can you rewrite the given question?
Answer:
A) 0.4255
B) 0.5813
C) 0.5588
D) 0.7241
Step-by-step explanation:
Assuming that the probability for each case is the same, we can calculate the probability by dividing the number of favourable cases with the total amount of cases. You can find the total amount of cases by adding the favourable ones with the non favourable ones, so, the probability of each case would be:
A) 20/(27+20) = 20/47 = 0.4255
B) 25/(18+25) = 25/43 = 0.5813
C) 19/(15+19) = 19/34 = 0.5588
D) 21((8+21) = 21/29 = 0.7241
Answer:
DE ≈ 14.91
Step-by-step explanation:
Make use of the relationships between sides and angles in a right triangle. These are summarized by the mnemonic SOH CAH TOA:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
The side DE is opposite the angle 19°, so the sine or tangent relation will be involved. The sine relation requires you know hypotenuse EF. The tangent relation requires you know adjacent side DF.
The only common side between triangles CDF and DEF is side DF. That side is opposite the given 61° angle. The given side length (CF = 24) is adjacent to the 61° angle.
This means you have enough information to use these relations:
tan(61°) = DF/CF = DF/24
DF = 24·tan(61°)
and
tan(19°) = DE/DF
DE = DF·tan(19°) = (24·tan(61°))·tan(19°) . . . . . use DF from above
DE ≈ 24(1.804048)(0.344328) ≈ 14.908
The length of DE is about 14.91.
