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.
Answer:
Width = 17.5 feet,
Length = 82.5 feet.
Step-by-step explanation:
We have been given that Darrin is hanging 200 feet of Christmas garland on the fencing that encloses his rectangular front yard. This means that perimeter of rectangular front yard is 200 feet.
We know that perimeter of rectangle is two times the sum of length and width of rectangle. We can represent this information in an equation as:

We are also told that the length is 5 feet less than 5 times the width. We can represent this information in an equation as:

Upon substituting equation (2) in equation (1), we will get:



Therefore, the width of rectangular front is 17.5 feet.
Upon substituting
in equation (2), we will get:



Therefore, the length of rectangular front is 82.5 feet.
Answer:
F(2, 11/2)
Step-by-step explanation:
The expression:
(x-2)² = 10(y - 3)
can be rewritten in the vertex form as follows:
(x-2)² = 10y - 30
(x-2)² + 30 = 10y
1/10(x-2)² + 3 = y
General vertex form is:
y = a(x-h)² + k
then, the vertex is locate at (h, k). In this case the vertes is (2, 3), and <em>a </em>= 1/10
The focus of a parabola is located ar F(h, k+p), where <em>p</em> = 1/(4a). Replacing into these equations:
p = 1/(4*1/10) = 5/2
F(2, 3+5/2) = F(2, 11/2)
Answer:
repeat add 6
Step-by-step explanation:
6+6+6+6+6+6+6+6=48
idot
(3.49+4.71)1.80=cost
(8.2)1.80=cost
14.76=cost
Luis spends $14.76 all together