Don’t answer if you don’t know, plz. Thanks.

sineoko [7]

Answer:

(B) The measure of angle SUT is equal to 90 degrees

Step-by-step explanation:

It is given that in In triangle STU, $u^2=s^2+t^2$ .

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.

$(Hyp)^2=(Base)^2+(Perpendicular)^2$

that is:

$u^{2}=s^{2}+t^{2}$

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.

3 0

3 years ago

Darrin is hanging 200 feet of Christmas garland on the fencing that encloses his rectangular front yard. The length is 5 feet le

frutty [35]

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:

$2(l+w)=200...(1)$

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:

$l=5w-5...(2)$

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

$2(5w-5+w)=200$

$2(6w-5)=200$

$12w-10=200$

$12w-10+10=200+10$

$12w=210$

$\frac{12w}{12}=\frac{210}{12}$

$w=17.5$

Therefore, the width of rectangular front is 17.5 feet.

Upon substituting $w=17.5$ in equation (2), we will get:

$l=5(17.5)-5$

$l=87.5-5$

$l=82.5$

Therefore, the length of rectangular front is 82.5 feet.

7 0

2 years ago

Read 2 more answers

Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be model

Tomtit [17]

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)

6 0

3 years ago

Read 2 more answers

Simone knows that 8 groups of 6 make 48. How can she find 48/6

kap26 [50]

Answer:

repeat add 6

Step-by-step explanation:

6+6+6+6+6+6+6+6=48

idot

8 0

2 years ago

Luis bought two pieces of wax to make candles. One piece weighed 3.49 kg, and the other weighed 4.71 kg. If wax costs $1.80 per

EleoNora [17]

(3.49+4.71)1.80=cost

(8.2)1.80=cost

14.76=cost

Luis spends $14.76 all together

8 0

2 years ago