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ELEN [110]
3 years ago
13

what is the distance between point S and U? Round to the nearest tenth of a unit? A 3.3 B 6.4 C 8.1 D 12.0

Mathematics
1 answer:
ki77a [65]3 years ago
8 0
The distance between the points (d) is found using the Pythagorean theorem.

Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
   d² = 4² + 7²
   d² = 16 + 49
   d² = 65
   d = √65 ≈ 8.1

The distance between the points is
   C  8.1


_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.

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What is the next term of the geometric sequence? 4/9, -4/3, 4
andreev551 [17]

Answer:

-12

Step-by-step explanation:

To find the ration, take the second term and divide by the first term

-4/3 ÷ 4/9

Copy dot flip

-4/3 * 9/4

-3

Multiply each term by -3

4*-3 =-12

5 0
3 years ago
The triangles are similar by:
Tamiku [17]

Answer:

E. by the SAS similarity theorem.

Step-by-step explanation:

Included angle x° in ∆ ABC ≅ included angle x° in ∆EDC (vertical angles are equal)

DC/BC = 240/150 = 1.6

EC/AC = 320/200 = 1.6

This implies that the ratio of two corresponding sides of both triangles are the same.

Two triangles are considered similar to each other by the SAS similarity theorem of they have a corresponding included angle that is equal and two corresponding sides that are congruent to each other. Therefore, both triangles are similar by the SAS similarity theorem.

8 0
3 years ago
What is 50 divided by 8675 showing your work
Ierofanga [76]
8675 ÷ .5= 17350
You could also multiply by 2 to check your answer 
17350 * .5= 8675
You could also divide by 2.
5 0
3 years ago
Find the 10th term of the geometric sequence
RUDIKE [14]

Answer:

1835008

Step-by-step explanation:

7,28,112,448,1792,7168,28672,114688,458752,1835008

5 0
3 years ago
Read 2 more answers
An equiangular triangle has one side of length six inches. What is the height of the triangle, drawn from that side, to the near
Mandarinka [93]

9514 1404 393

Answer:

  5.2 in

Step-by-step explanation:

An equiangular triangle is also equilateral. All sides will be 6 inches, and the height line will be a perpendicular bisector of the side.

Using trig, the height is ...

  (3 in)tan(60°) = 3√3 in ≈ 5.2 in

Using the Pythagorean theorem, ...

  h² = 6² -3² = 27

  h = √27 ≈ 5.2 . . . inches

6 0
2 years ago
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