Answer:
There are two choices for angle Y: [tex]Y \approx 54.987^{\circ}[/tex] for [tex]XZ \approx 15.193[/tex], [tex]Y \approx 27.008^{\circ}[/tex] for [tex]XZ \approx 8.424[/tex].
Step-by-step explanation:
There are mistakes in the statement, correct form is now described:
In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:
The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:
[tex]YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X[/tex] (1)
If we know that [tex]X = 49^{\circ}[/tex], [tex]XY = 18[/tex] and [tex]YZ = 14[/tex], then we have the following second order polynomial:
[tex]14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}[/tex]
[tex]XZ^{2}-23.618\cdot XZ +128 = 0[/tex] (2)
By the Quadratic Formula we have the following result:
[tex]XZ \approx 15.193\,\lor\,XZ \approx 8.424[/tex]
There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:
[tex]XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y[/tex]
[tex]\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}[/tex]
[tex]Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)[/tex]
1) [tex]XZ \approx 15.193[/tex]
[tex]Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right][/tex]
[tex]Y \approx 54.987^{\circ}[/tex]
2) [tex]XZ \approx 8.424[/tex]
[tex]Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right][/tex]
[tex]Y \approx 27.008^{\circ}[/tex]
There are two choices for angle Y: [tex]Y \approx 54.987^{\circ}[/tex] for [tex]XZ \approx 15.193[/tex], [tex]Y \approx 27.008^{\circ}[/tex] for [tex]XZ \approx 8.424[/tex].
Ms. Cortez had to pay 20% for a down payment on a home selling for $296,500. How much will the bank have to finance as a mortgage loan?
HELP ME WITH THIS ASAP
find the total surface area of this cone. leave your answer in terms of pi. the slanted height is 15 and radius is 12
Answer:
324π
Step-by-step explanation:
Total Surface Area of a cone =πrl+πr²
πx 12 x 15 + π x (12²)
180π + 144π = 324π
May someone please help me on which to graph?
Answer:
Option (4)
Step-by-step explanation:
Proportional relationship means,
y ∝ x
y = kx
[tex]k=\frac{y}{x}[/tex]
Here, k = proportionality constant
Therefore, if the graph of a line passes through the origin (0, 0) table will represent the proportional relationship.
From table 1,
For a point (1, 2)
[tex]k=\frac{2}{1}=2[/tex]
For another point (3, 2)
[tex]k=\frac{3}{2}=1.5[/tex]
In both the cases 'k' is not same of constant.
Therefore, table (1) is not proportional.
For table (2),
Line passes through (2, 0).
That means there is a x-intercept → (2, 0)
Therefore, table doesn't represent a proportional relationship.
For table (3),
Line passes through a point (0, 1)
It means given line has a y-intercept → y = 1
Therefore, table doesn't represent a proportional relationship.
For table (4),
Line of this table passes through two points (1, 3) and (2, 6)
[tex]k=\frac{3}{1}=3[/tex]
[tex]k=\frac{6}{2}=3[/tex]
Therefore, proportionality constant for the given table is 3.
Now we can graph table (4).
Which action would REDUCE the amount of money in Kendra’s checking account today?
Answer:
umm where is question?
Step-by-step explanation:
MARKMEASBRAINLISTPLS
please help asap :( "This is My final Grade " My Teacher wants a full explanation included with the answer .) please view the attached screenshots
James has two circles, Circle A and Circle B. Use the information to answer the questions that follow.
Answer:
Step-by-step explanation:
circle A is
x²+y²+6x-4y-12=0
x²+6x +y²-4y =12
think (a+b)² = a²+2ab+b² we have a=x, b= 3
and (a-b)² = a²-2ab+b² so we have a=y, b=2
x²+6x +9 +y²-4y+4 = 12-9-4
(x+3)² +(y-2)²= -1
compare to the general equation of a circle (x-h)²+(y-k)² =r²
the center is at (-3,2) and the radius is √-1 =i
Circle B has center (0, -4) and radius 3 so the equation is
(x-0)²+(y-(-4))² =3²
x² +(y+4)² = 9
point (√8, -3) is on the circle if it verifies the equation
√8² +(-3+4)² = 9
8+1 =9 true so the point is on the circle
Circle A and circle B are not similar because they do not have the same center and radius
Ali and Ayesha shared an amount of money in the ratio 5:6. Ali received 20 bucks.How much did Ayesha receive?
Answer:
Your answer is $24
Step-by-step explanation:
5*4 is 20, so all that you have to do it 6*4
You choose a movie at random from a list containing 8 comedy movies, 5 science fiction movies, and 7 adventure movies. What is the theoretical probability that the movie is not a comedy
Answer:
3/5
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
the theoretical probability that the movie is not a comedy = number of movies that are not comedies / total movies available
12/ 20 = 3/5
Cesar wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 7 1 2 m by 3 1 4 m. Find the area the grass seed needs to cover.
226'394 is the area of grass need to grow
Many American companies contracted with European and Asian companies, where well educated workers could do jobs on networked computers at lower rates of pay than American workers
outsourcing
offshoring
special tariff agreements
only answer if you know you're right
Answer: Outsourcing
Step-by-step explanation: I just took a test.
The use of workers that use networked computers to work at lower rates of pay than American workers is called outsourcing.
What is outsourcing?The term outsourcing has to do with a situation in which workers from outside the company are contrated to do the work of the company. This could be done remotely most times by the use of a computer.
In this case, the American companies that contracted European and Asian companies, where well educated workers could do jobs on networked computers at lower rates of pay than American workers is called outsourcing.
Learn more about outsourcing: https://brainly.com/question/14356798
What is the scale factor of the drawing if the scale is 1 inch equals 6 feet?
Answer:
The scale “1 inch to 6 feet” is equivalent to the scale “1 to 72,” because there are 72 inches in 6 feet. The scale “1 to 100” would make a scale drawing that is smaller than the scale “1 to 72,” because each inch on the new drawing would represent more actual length.
Step-by-step explanation:
MARK AS BRAINLIEST!
Answer:
So 12 inches are 1 foot
Step-by-step explanation:
so 6 feet would be 72 inches
Please Help! Will mark brainliest!
Dave's antivirus program scans 203 megabytes of data in 7 seconds. At what
rate does his antivirus program scan the data?
Answer:
29 Mbps
Step-by-step explanation:
the scan rate of Dave's antivirus =
203 Mb / 7 s = 29 Mb/s or 29Mbps
PLS HELP ME SOLVE THIS ASAP
(NO LINKS OR ILL REPORT U!)
Answer:
y=70
Step-by-step explanation:
y=-60cos(π/30 (15))+70
y=-60cis(π/2)+70
y=-60•0+70
y=70
Write an algebraic expression for the word expression: 14 more than the difference of r and s.
I really dont know
what is the area of the triangle?
Answer:
12 square inches
Step-by-step explanation:
12 square inches
Answer:
the answer is the first one
6 square inches
Brenda deposits a third of the money she earns from baby-sitting and a fourth of her allowance into her savings account. In one month she earned $84 baby-sitting and received $80 in allowance. How much did she deposit in her savings account that month?
Answer:
$48 deposited
Step-by-step explanation:
84 times 1/3 = 28
80 times 1/4 = 20
28 + 20 = 48
Discuss the income and wealth disparity in the State of Washington.
Answer:
Income inequality is how unevenly income is distributed throughout a population. ... Income inequality is often accompanied by wealth inequality, which is the uneven distribution of wealth.
Step-by-step explanation:
A frustum is formed when a plane parallel to a cone's base cuts off the upper portion as shown. A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3.5 and a height of 8. The frustum has a height of 11 and a radius of 7.5. Which expression represents the volume, in cubic units, of the frustum? One-thirdπ(7.52)(11) – One-thirdπ(3.52)(8) One-thirdπ(7.52)(11) + One-thirdπ(3.52)(8) One-thirdπ(7.52)(19) – One-thirdπ(3.52)(8) One-thirdπ(7.52)(19) + One-thirdπ(3.52)(8)
Answer: C. 1/3π(7.52)(19) – 1/3π(3.52)(8)
Step-by-step explanation:
took the test and got 100
The expression that represents the volume of the frustum is: 1/3π(7.5²)(19) - 1/3π(3.5²)(8).
What is the Volume of a Frustum?Volume of a frustum = Volume of bigger cone - volume of smaller cone = 1/3πR²H - 1/3πr²h
Given the following dimensions:
R = 7.5 unitsH = 11 + 8 = 19 unitsr = 3.5 unitsh = 8 unitsApplying the volume formula, we have:
Volume of the frustum = 1/3πR²H - 1/3πr²h = 1/3π(7.5²)(19) - 1/3π(3.5²)(8)
Thus, the expression that represents the volume of the frustum is: 1/3π(7.5²)(19) - 1/3π(3.5²)(8).
Learn more about volume of frustum on:
https://brainly.com/question/1273042
The graph shows the relationship
between the number of hours and the number of miles walked.
What rule relates the number of hours to the number of miles walked?
A. Multiply the number of hours by 1/2
B. Multiplied the number of miles walked by 2
C. Multiply the number of hours by 2 1/2
D. Multiply the number of hours buy 2
Answer:
B) Multiply the number of hours by 2
Step-by-step explanation:
If cos θ = 2/3 what are the values of sin θ and tan θ?
Answer:
1/3
Step-by-step explanation:
Talia attended a 555-day math camp that lasted \dfrac56
6
5
start fraction, 5, divided by, 6, end fraction of an hour each day.
Complete Question
Talia attended a 5 -day math camp that lasted 5/6 of an hour each day. How many hours did Talia spend at the math camp?
Answer:
4 1/6 hours
Step-by-step explanation:
1 day = 5/6 hour
5 days = x
Cross Multiply
x = 5/6 × 5 days
x = 25/6 hours
x = 4 1/6 hours
Therefore, Talia spent 4 1/6 hours at camp.
Look at this set of ordered pairs:
(1, 18)
(13, 8)
(6, 6)
Is this relation a function?
yes
no
Answer:
Yes
Step-by-step explanation:
What is the probability of picking a bottle lid from the jar without looking?
Question
1 of 5
0.4
0.3
Marbles
3
Bottle lids
0.7
4
Stones
3
0.2
Reset
Submit
Answer:
4.7/10.9
Step-by-step explanation:
Karla Buys a $5,250 air conditioning system using an installment plan that
requires 18% down. How much is the down payment?
Answer:
hmm...
Step-by-step explanation:
Answer:
$945
Step-by-step explanation:
Good luck and have a nice day :D
Can someone help me please
Answer:
Your answer is B
Step-by-step explanation:
There are 3 kids ages 9-10, so that's the first 3.
There are 10 kids ages 10-11, so that's the second 10.
There are 6 kids ages 11-12, so that's the third 6.
add those kids up and you get 19
Answer:
21
Step-by-step explanation:
I added them together, first the 9-10 year olds and the 11-12 year olds. There were 15, then added on the 13-14 ear olds, making altogether 21 kids over the age of 8
i do not know this and i am confused can you help me plz
Answer:
The Volume Of A Toy Box. (A cube)
Answer:
Volume of a toy box is correct.
I took the Quiz L:)
find the slope of line passing through the points (6, 2) and (6, -3)
Answer:
The slope is undefined.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-2)/(6-6)
m=-5/0
undefined
this school is making this sidewalk six times longer
What is 0.00498 rounded to 1 significant figure
Answer:
.005
Step-by-step explanation:
the leading zeros dont count also round up
Find the area of the triangle below.
Answer: 24
Step-by-step explanation: