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
Brut [27]
2 years ago
11

Round to the nearest tenth.

Mathematics
1 answer:
laila [671]2 years ago
8 0

Answer:

8.2 units

Step-by-step explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

<u />

<u>Recall the Law of Cosines</u>

<u />a^2=b^2+c^2-2bc\cdot cos(A)

<u>Identify angles and sides</u>

<u />m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6

<u>Solve for side "a"</u>

<u />a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2

Therefore, the length of line segment BC is about 8.2 units

You might be interested in
Find each product using the FOIL method <br><br> (6d-5)(4d-7)<br><br> Plz help!
Stells [14]
The answer is 24d^2-62d+35
4 0
3 years ago
Use solve for θ and round to the nearest tenth
vfiekz [6]

Answer:

2 tan0 have fun hope it helps you

Step-by-step explanation:

chvfghcc

5 0
2 years ago
2x + 7 - 3x ⥶ 10<br> show work
gavmur [86]

Answer:

x ⥶ -3

Step-by-step explanation:

2x - 7 -3x ⥶ 10

-x + 7 ⥶ 10

-x ⥶10 - 7

-x ⥶ 3

3 0
2 years ago
What is the vertex form, f(x) = a(x − h)2 + k, for a parabola that passes through the point (1, −7) and has (2, 3) as its vertex
kondaur [170]

Answer:

Vertex form: f(x) = -10(x − 2)^2 + 3

Standard form: y = -10x^2 + 40x - 37

Step-by-step explanation:

h and k are the vertex coordinates

Substitute them in the vertex form equation:

f(x) = a(x − 2)^2 + 3

Calculate "a" by replacing "f(x)" with -7 and "x" with 1:

-7 = a(1 − 2)^2 + 3

Simplify:

-7 = a(1 − 2)^2 + 3

-7 = a(-1)^2 + 3

-7 = a + 3

-10 = a

Replace a to get the final vertex form equation:

f(x) = -10(x − 2)^2 + 3

Convert to standard form:

y = -10(x − 2)^2 + 3

Expand using binomial theorem:

y = -10(x^2 − 4x + 4) + 3

Simplify:

y = -10x^2 + 40x - 40 + 3

y = -10x^2 + 40x - 37

6 0
3 years ago
Help me and please be sure of ur answer.​
Inessa05 [86]

Answer:

1. Evan

2. Stacey

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • 15 POINTS AND BRAINLY FOR CORRECT ANSWER
    9·1 answer
  • The sum of three consecutive integers is 108. Which equation would be used to solve this word problem? (HINT: The equation has b
    13·1 answer
  • Which is the better buy on a camera with a retail price of $730? A) SAVE 20% ON ANY CAMERA B) SAVE $150 ON ANY CAMERA C) SAVE $1
    9·1 answer
  • the area of a triangle is 15 square meters. the base is 1 meter less than the height. what is the height of the triangle?
    14·1 answer
  • Square bionomial of (2x+3)^2
    13·1 answer
  • The sides of a right triangle form an arithmetic sequence with the difference d. Find the area of an inscribed circle in terms o
    8·1 answer
  • 1. clark has 5 times as many pennies as dimes. If he has a total of 4.29, which two linear equations best model this system?
    12·1 answer
  • Solve for x (2x-8) (9x-10)
    10·2 answers
  • Is the average amount spent on textbooks per semester by accounting majors significantly
    10·1 answer
  • A bank pays $15 in interest for every $100 deposited.<br> The bank pays how much interest?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!