Add all 15 students' amounts: 14(68 inches), then add 65. Take the sum and divide it by 15 students, to get the mean. The answer is 67.8
The answer should be 6 I.e 6^1 as with indices rules you need to subtract the powers (-3-(-4)) which equals 1
Answer:
21.4
Step-by-step explanation:
We can solve for x using trigonometry
Here are the <u>Trigonometric Ratios</u>
Remember SOH CAH TOA
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse
Tangent = Opposite over Adjacent
We are given the measure of ∠T ( 72° )
We are also given the adjacent side length (6.6) ( Adjacent = the side length that is not the hypotenuse nor the opposite side length )
And we need to find the hypotenuse ( longest side length )
We this information we can use the trigonometric ratio Cosine to solve for x
That being said we want to set up an equation
(remember cosine = adjacent over hypotenuse )

Now we solve for x
We can't get rid of the 6.6 itself so we want to multiply each side by x
now we have 
Step 2 divide each side by cos(72)

We're left with x = 21.35804865
Finally we want to round to the nearest tenth of a foot and we get that x = 21.4
25d^2-30d-35d+42=25d^2-65d+42.
Answer:
(B) The measure of angle SUT is equal to 90 degrees
Step-by-step explanation:
It is given that in In triangle STU,
.
We can see from the triangle and also the given condition that the triangle will be right triangle as it is satisfying the Pythagoras theorem.

that is:

where u is the hypotenuse, s is the base and t is the perpendicular.
Thus, the angle SUT should be of 90°.
Thus, The measure of angle SUT is equal to 90 degrees.
Hence, option B is correct.