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
Ilya [14]
3 years ago
12

In triangle XYZ, XY = 14, YZ = 22, and XZ = 26. What is the measure of angle Z to the nearest degree?

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0

Answer:

<h2>D</h2>

WE ARE GOING TO USE THE COSINE RULE

{c}^{2} =  {a}^{2}  +  {b}^{2}  - 2ab \cos(c)

Take the sides as shown in the picture as a,b and c . Substitute the side by using the cosine rule.

{14}^{2}  =  {22}^{2}  +  {26}^{2}  - 2(22 \times 26) \cos(z)

196 = 1160 - 1144 \cos(z)

1144 \cos(z) = 1160 - 196

\cos(z)  =  \frac{964}{1144}

z =   \frac{1}{ \cos} 0.842657342

1 over cos means cos inverse.

z = 32.5 nearest \: degree \\  = 33degrees

ANSWER 33°

You might be interested in
List all prime numbers between 27 and 35.​
LiRa [457]

Answer:

29 and 31 are the only primes.

5 0
3 years ago
Read 2 more answers
A computer originally costs $550 but is 20% off.
Korvikt [17]

Answer:

$110

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
At the 6th grade school dance, there are 132 boys, 89 girls and 14 adults.
S_A_V [24]

Answer:

132:189 and

132 to 89

Step-by-step explanation:

I'm pretty sure

3 0
2 years ago
Find a point slope form for the line with slope 1/5 and passing through the point (-3,-9)
alisha [4.7K]

Answer:

y+9=1/5(x+3)

Step-by-step explanation:

Point slope formula: y-y1=m(x-x1)

slope=m

m=1/5

-3=x1 -9=y1

y-(-9) =1/5(x-(-3))

simplify...

y+9=1/5(x+3)

hope this helps!! :)

5 0
3 years ago
A town's population has been growing linearly. In 2003 the population was 47,000. The population has been growing by 1200 people
blsea [12.9K]

Answer:

Step-by-step explanation:

The population in 2003= 47000

Since the population increase by 1200 every year,

in 2004 the population will be 47000+1200

in 2005 the population will be 47000+(1200+1200) which is the same as

47000+2(1200) where 2 is 2 years after 2003,

Therefore the population x years after 2003 is 47000+x(1200).

P= 47000+1200x

b) The population at 2009 which is 6 years after 2003 will be

47000+(1200)*6=47000+7200= 54200

The population at 2009 is 54200,

7 0
3 years ago
Other questions:
  • Using complete sentences, explain how to completely factor: 2x2 - 6x - 36
    11·1 answer
  • In a group of students, 65 play foot ball, 45 play
    15·1 answer
  • Find the surface area of a square pyramid with a base length of 11 cm and a slant height of 15
    10·2 answers
  • write the equation of a line in slope intercept form that passes through (2 -2) and is parallel to 2x+4y=8
    15·1 answer
  • Solve. -13-8a-4a=-3
    6·2 answers
  • 1.21 liters = centiliters​
    14·1 answer
  • CAN SOMEONE PLEASE HELP ME
    7·1 answer
  • Evaluate the expression for the given value of x.<br> 8x + 2 for x = 2<br> The solution is?
    7·1 answer
  • Please any help? anybody ​
    6·1 answer
  • How many quarter make 100 dollars? ​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!