1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vedmedyk [2.9K]
2 years ago
7

In a sequnece u5=-3.7 and u15 =-52.3, what is the 19th term

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
6 0

u19=-71.74

Step-by-step explanation:

u5=a+4d=-3.7....(1)

u15=a+14d=-52.3....(2)

-10d=48.6

d=-48.6/-10

d=-4.86

Substitute-4.86 into....(1)

u5=a+4(-4.86)=-3.7

a+(-19.44)=-4.7

a=-3.7-(-19.44)

a=15.74

19term=a+18d=?

=15.74+18(-4.86)

=15.74+(-87.48)

19th term =-71.74

You might be interested in
Zx and Zy are supplementary angles. Zy measures 139º. What is the measure of Zx?
Scorpion4ik [409]

Answer:

41

Step-by-step explanation:

supplementary angle is 180

therfore to fin

d the answer =

180-139=41

6 0
2 years ago
In March, April, and June it rained 2 inches. In February, May, and September it rained 1 inch. In August and October, it rained
koban [17]

Answer:

D

Step-by-step explanation:  

Hope this Helps :D

4 0
3 years ago
Read 2 more answers
Select all the conditions for which it is possible to construct a triangle. (7.G.1.2) Group of answer choices a. A triangle with
saw5 [17]

Answer:

  b, d, e, f

Step-by-step explanation:

Here are the applicable restrictions:

  • The sum of angles in a triangle is 180°, no more, no less.
  • The sum of the lengths of the two shortest sides exceeds the longest side.
  • When two sides and the angle opposite the shortest is given, the sine of the given angle must be at most the ratio of the shortest to longest sides.

a. A triangle with angle measures 60°, 80°, and 80° (angle sum ≠ 180°, not OK)

b. A triangle with side lengths 4 cm, 5 cm, and 6 cm (4+5 > 6, OK)

c. A triangle with side lengths 4 cm, 5 cm, and 15 cm (4+5 < 15, not OK)

d. A triangle with side lengths 4 cm, 5 cm, and a 50° angle across from the 4 cm side (sin(50°) ≈ 0.766 < 4/5, OK)

e. A triangle with angle measures 30° and 60°, and an included 3 cm side length (OK)

f. A triangle with angle measures 60°, 20°, and 100° (angle sum = 180°, OK)

_____

<em>Additional comment</em>

In choice "e", two angles and the side between them are specified. As long as the sum of the two angles is less than 180°, a triangle can be formed. The length of the side is immaterial with respect to whether a triangle can be made.

__

The congruence postulates for triangles are ...

  SSS, SAS, ASA, AAS, and HL

These essentially tell you the side and angle specifications necessary to define <em>a singular triangle</em>. As we discussed above, the triangle inequality puts limits on the side lengths specified in SSS. The angle sum theorem puts limits on the angles when only two are specified (ASA, AAS).

In terms of sides and angles, the HL postulate is equivalent to an SSA theorem, where the angle is 90°. In that case, the angle is opposite the longest side (H). In general, SSA will specify a singular triangle when the angle is opposite the <em>longest</em> specified side, regardless of that angle's measure. However, when the angle is opposite the <em>shortest</em> specified side, the above-described ratio restriction holds. If the sine of the angle is <em>less than</em> the ratio of sides, then <em>two possible triangles are specified</em>.

4 0
2 years ago
If a cylinder has a volume of 80 cubic centimeters, and a diameter of 3 centimeters, what is it's height?
Ivan
The height is 240 How this helps
7 0
3 years ago
The perimeter of pqrs is 84. Find the length of each side qr=3(rs)
kramer
Pq= 10.5, qr=31.5, rs=10.5, sp=31.5
3 0
3 years ago
Other questions:
  • ✓ Express 9 inches of rain in 72 hours as a unit rate. *
    7·1 answer
  • A turtle moves an an average speed of 12 inches/hour. How long does it take the turtle to travel 8 inches?
    15·1 answer
  • What is the length of the diagonal of a 10 cm by 15 cm rectangle?
    5·2 answers
  • Given f(x) = 2x - 1 and g(x) = x^2 + 3x - 1, find f(x) + g(x), f(x) - g(x), f(x) • g(x), and (f/g)(x)
    6·1 answer
  • Which graph shows the equation y = x - 2?
    7·1 answer
  • The high school debate team is developing a logo to represent their club. A scale drawing of the logo design is presented below,
    8·2 answers
  • Please help Faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaast 2x ≤ − 2/7 (8x + 8)
    12·1 answer
  • What is the solution to 5x - 4 = 16
    6·1 answer
  • Find the vertex of this function. Is it a maximum or a minimum?<br> y=-3(x + 4)2 + 2
    5·1 answer
  • Use a calculator to find the angle measure to the nearest degree for cos-1 (0.5)<br> 45 Pts!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!