I'm ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2
Answer:
40 degrees
Step-by-step explanation:
A triangle solver tool can find the angle easily. It is 39.8°, which rounds to 40°. Apps are available on some calculators, on the Internet, and for iOS and Android phones and tablets.
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You may be expected to solve this using the Law of Cosines. If we name the sides ...
the law of cosines tells us the relationship is ...
c² = a² + b² -2ab·cos(θ)
Then the angle is ...
θ = arccos((a² +b² -c²)/(2ab)) = arccos((3.0625 +9 -4)/(2·1.75·3))
= arccos(8.0625/10.5) ≈ 39.838° ≈ 40°
Answer:
12% or 13% rounded
Step-by-step explanation:
.25 of 2.00 is .125 or 12% or 13% rounded
Answer:
C 5a^2 +70a +240
Step-by-step explanation:
We have given these following functions:

h(a+4)
This function is:



f[h(a+4)]

Thus

The correct answer is given by option C.
Answer:
y – 3 = 2(x – 10)
Step-by-step explanation:
In point-slope form, the equation is written ...
y -k = m(x -h) . . . . . . . for line with slope m through point (h, k)
If only the slope changes, only the value just outside parentheses changes. When the point is (10, 3) and the new slope is 2, the new equation is ...
y -3 = 2(x -10)