Answers
Answer:
13. (a) 120°, 120°, (b) 8.94 cm14. (a) 17.9 cm, (b) 22.4 cmStep-by-step explanation:
Refer to the attached sketch (not to scale)Question 13(a) The center of the circle is also the circumcenter of the triangle PQR.
Since ΔPQR is equilateral, all sides are equal, therefore opposite angles are also congruent:
∠POQ ≅ ∠QOR ≅ PORSum of the three angles is 360° as cover the full circle.
Each angle measure is:
∠POQ = ∠QOR = ∠POR = 360°/3 = 120°(b) Each side is 16 cm and the radius is 12 cm.
The distance of the midpoint M of PQ from the center O is perpendicular bisector of ΔPOQ.
The segment MO is:
MO² = PO² - PM² = PO² - (PQ/2)²MO² = 12² - (16/2)² = 80MO = √80 = 8.94 cm (rounded)Question 14ΔXYZ is isosceles with:
XY = XZ = 20 cmYZ = 18 cm(a) The altitude of ΔXYZ is a perpendicular bisector of YZ. h = XM is the altitude
Find h:
h² = XZ² - ZM² = XZ² - (ZY/2)²h² = 20² - (18/2)² = 319h = √319h = 17.9 cm (rounded)(b) Note the ∠ZXM is half of the ∠ZOM as both the angles intercept half of the arc ZY and ∠ZOM is a central angle.
Find ∠ZXM:
sin ∠ZXM = ZM/ZX = 9 / 20m∠ZXM = arcsin (9/20) = 26.7° (rounded)Find ∠ZOM:
m∠ZOM = 2*m∠ZXM = 2*26.7 = 53.4°Find the measure of the radius:
sin ∠ZOM = ZM/rsin 53.4° = 9/rr = 9 / sin 53.4°r = 11.2 cm (rounded)Find the measure of the diameter:
d = 2r = 2*11.2 cm = 22.4 cm
Related Questions
Select the correct answer.
Which financial item transfers risk from one party to another?
equities or stocks
apartments
initial public offerings (IPOS)
stock futures
Submit
Answers
Answer:
Equities or stocks.
Step-by-step explanation:
Equities or stocks are the source of finance for a company. A company issues stocks and then the fund received from these stocks is used to run the business operations. Risk transfer is a way to minimize the self risk and transfer it to other person. When stocks are sold the risk is transferred to other person who buys the stocks.
Answer:
stock futures
Step-by-step explanation:
20 points for this!! thank you
Answers
Answer:
not a function becuz 2 repeats its self twice
Step-by-step explanation:
Answer:
You are welcome
Step-by-step explanation:
A builder has an 6-acre plot divided into 1 4 -acre home sites. How many 1 4 -acre home sites are there?
Answers
Complete question :
A builder has an 6-acre plot divided into 1/4 -acre home sites. How many 1/4 -acre home sites are there?
Answer:
24 home sites
Step-by-step explanation:
Given :
Total size of land = 6 - acre
Size of each home site = 1/4 acre
Number of home sites obtainable from the 6-acre land :
Total size of land ÷ size of each home site ;
6 ÷ 1/4
6 * 4/1
= 24
Hence, 24 home sites are on the plot of land.
Katie is making bread.
She’s needs 6/3 cups of flour to make one whole loaf of bread.
She has 2/3 cup of flour.
Katie can make less than one whole loaf of bread or more than or exactly one loaf
Answers
6/3 = 2 and she only has 2/3 which is 0.666667~
please help, tysm if you do :D
Answers
Answer:
3c + 14d
Step-by-step explanation:
Hello There!
We can simplify this expression by combining like terms
Now what are like terms?
They are terms that have the same variable ex. 4a and 2a are like terms as they have the same variable (a)
Now lets look back at the expression and see if there are any like terms
which there are (4c and -c) and (6d and 8d)
so lets combine them
4c - c =3c
6d + 8d = 14d
so the simplified version would be 3c + 14d
Answer:
B) 3c+14d
Step-by-step explanation:
We use the addition property for the following question
First we rearrange the following problem and we get
4c-c+6d+8d
The easiest way is to just add and subtract or if you want have a better understanding, you can factor our the like terms which gives us
(4-1)c+(6+8)d
and then we can simplify to get
3c+14d
A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 4 people and each large car can hold 6 people. The students rented twice as many large cars as small cars, which altogether can hold 48 people. Graphically solve a system of equations in order to determine the number of small cars rented, x,x, and the number of large cars rented, yy.
Answers
Answer:
The students rented 3 small cars and 6 large cars.
Step-by-step explanation:
Since a group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip, and each small car can hold 4 people and each large car can hold 6 people, and the students rented twice as many large cars as small cars, which altogether can hold 48 people, to determine the number of small cars rented, X, and the number of large cars rented, Y, the following calculation must be performed:
4X + 6Y = 48
4x4 + 6x8 = 16 + 48 = 64
4x3 + 6x6 = 12 + 36 = 48
Thus, the students rented 3 small cars and 6 large cars.
Theoretically, if a month is chosen 300 times,
how many times would you expect a month
that starts with the letter J?
Answers
Answer:
75 times.
Step-by-step explanation:
Well there are 12 months and 3 of them start with the letter J, so theoretically, 25% of the months chosen will start with the letter J because [tex]\frac{3}{12}=\frac{1}{4}[/tex], which is 25%. 25% of 300 (or [tex]\frac{300}{4}[/tex], for those who like fractions) is 75, so theoretically, we can expect a month that starts with the letter J 75 times.
Hope this helps!
P.S: Please mark me as brainliest!
I need help im struggling
Answers
Answer:
62.80
Step-by-step explanation:
I hope this helped you out!!
Answer:
62.8
Step-by-step explanation:
Circumference is 2pi*radius. 2*pi*10 = 20 * 3.14 = 62.8
PLEASE HELP!!!! Jul is using the graph of an exponential function to represent the value of an investment where x is the number of years Jul has owned the investment. Which statement correctly describes a key feature of the function?
Answers
Answer: the answer is D
Step-by-step explanation:
Trust me
the domain of the function is x greater than equal to 0.
Answer: The domain of the function is x>0. So D just took the test, got it right!
Step-by-step explanation:
Find the perimeter of 13.2 yd, 6.2 yd, 11yd
Answers
Answer: 900.24
Step-by-step explanation:
Perimeter=L•W•H
HELP PLS
Jane needs 6 1/2 of fabric to make a dress. She has one piece of fabric that is 1 1/2 yards and another piece of fabric that is 3 1/4 yards. How many more yards of fabric does Jane need to make the dress?
Answers
convert 1 1/2 to 1 2/4
1/4 + 2/4 = 3/4
1+3=4 + 3/4 = 4 3/4
turn 6 1/2 to 6 2/4
6 2/4 - 4 3/4 = 1 3/4
ASAP HELP MATH!!!!!!!! 1st PERSON GETS BRAINLIEST
Answers
In this case, 3>1
PLEASE HELP FAST WILL GIVE BRAINLIEST
Answers
Answer:
QT=8 VQ=17 this is what i came up with because i myself have ur question and i don't know what it is?
8 x5/7 need help asap
Answers
Answer:
5.71428571429
5 7/10
Step-by-step explanation:
Hope this helps and have a great day!!!!
Answer:
40/7
Step-by-step explanation:
Among various populations of plants or animals, diseases spread exponentially. Use the function y = 6000(1 - e^-0.154)
to model the spread of the Avian Bird Flu disease among a flock of 6000 chickens on a chicken farm, with t equal to
the number of days since the first case of the disease. How many birds will be infected with the Flu after 6 days?
3560 chickens
C. 1280 chickens
356 chickens
d. 516 chickens
a.
Answers
Answer: A. 3560 chickens
Step-by-step explanation:
Plugged in the 6 days into the equation provided
Birds will be infected with the Flu after 6 days will be 3560 chickens
What is exponential?An exponential function is a mathematical function of the following form: f ( x ) = a^x. where x is a variable, and a is a constant called the base of the function.
Given function: y = 6000(1 - [tex]e^{-0.15t}[/tex])
Total birds are =6000
Now, take t= 6 days.
So, y = 6000(1 - [tex]e^{-0.15t}[/tex])
y= 6000(1- [tex]e^{-0.15 * 6}[/tex])
= 6000 (1-0.40656)
= 6000*0.59343
= 3560.58204
= 3560 birds
Hence, 3560 birds get infected in 6 days.
Learn more about this concept here:
https://brainly.com/question/11487261
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|13 + 5| – |7 – 10|
PLEASE STEP BY STEP
Answers
Answer:
1
Step-by-step explanation:
|13 + 5| – |7 – 10| =1
Answer:
I18I-I-3I
18-3
15
Step-by-step explanation:
Help please please help help please help!!!
Answers
Answer:
standard
Step-by-step explanation:
Please help me, GodBless.
Answers
Answer:
Rate of change is 1
Step-by-step explanation:
Well rate of change in a function is basically slope
theres 1 rise and.1 run
1/1=1
So rate of change is 1
question is on the picture
Answers
Answer:
12/5
Step-by-step explanation:
Pythagorean theorem=> adjacent side=5
tanx=oppx/adjx
tanx=12/5
I need help please
What is the area?
____ Square millimeters
Answers
Rachel makes $38.25 in 3 hours.
How much money did she make
per hour?
4
HELPPPPP 10 points
I NEED IT NOW
Answers
Answer:
1 hour: $12.75
Step-by-step explanation:
Easy divide 38.25 by 3 which is 12.75
HELP! Ill vote brainliest and 60 pts is on the line!
The Quadratic Formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a, was used to solve the equation. 2x2 − 8x + 7 = 0. Fill in the missing denominator of the solution.
4 plus or minus the square root of 2, all over blank
−16
2
4
14
Answers
Answer:
2
Step-by-step explanation:
[tex]2x^2-8x+7=0\\\\[/tex]
a=2
b=-8
c=7
[tex]\frac{8+ \sqrt{16-4(2)(7)} }{4}[/tex]
4±[tex]\sqrt{2}[/tex] /2
Answer:
The answer is 2 hope this helps :3
Step-by-step explanation:
Equation in slope intercept form that represents their shown
Answers
Answer:
I think the answer would be Y= -2X+5 .
Hope it helps u ^^♥️
What are the x and y-intercepts of the line described by this equation? −6x+3y=18.9−6x+3y=18.9 Enter your answers in the boxes in decimal form.
Answers
Answer:
x intercept = -3.15
y intercept = 6.3
Step-by-step explanation:
Given the expression
-6x+3y=18.9
x intercept occurs at y = 0
-6x+3(0)=18.9
-6x = 18.9
x = -18.9/6
x = -3.15
Hence the x intercept is -3.15
y intercept occurs at x= 0
-6(0)+3y=18.9
3y = 18.9
y = 18.9/3
y = 6.3
Hence the y intercept is 6.3
please help ·ω· pppppppllllllllllllllleeeeeeeeeeaaaaaaaassssssssseeeeeeeeee????
Answers
Answer:
x=49
Step-by-step explanation:
Which of these is a nonlinear function. 20 points...
A. x=0
B. x=y/4
C. y=√x
D. y=√5
Answers
Kenzie will save 15% if she opens a credit card. She wants to buy a jacket for $120. How much will she save if she opens a credit card?
Answers
Answer:
i think its 102 or 120-18
Step-by-step explanation:
i think cauee 10% of 120 is 12 and half of ten percent is 5 and 5% is 6
Answer:
she will save $18
Step-by-step explanation:
find 10% of the number. then find 5%. add the two answers together and you get $18.
10% of $120 = $12
5% of $120 = $6. (half 10%)
$12 + $6 = $ 18
what is the ratio for 0.875?
Answers
The simplified ratio for 0.875 is 7:8 .
To express the ratio for 0.875, we need to convert the decimal value to a ratio form.
0.875 can be written as 875 / 1000 because the decimal value is equivalent to the fraction obtained by dividing the numerator by the denominator.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 125 in this case.
Dividing 875 and 1000 by 125, we get:
875 / 125 = 7
1000 / 125 = 8
So, the simplified ratio for 0.875 is 7:8 .
To know more about ratio click here :
https://brainly.com/question/28050315
#SPJ2
Can someone help please
Answers
Answer:
M=13
Step-by-step explanation:
Take the average of the two numbers:
(0+26)/2=13
sana makatulong
please give me heart
give me brainliest answer
Compare lengths. Select >, <, or = .
900 cm _ 9 m
Answers
Answer:
900 cm = 9 m
Step-by-step explanation:
9 m = 900 cm
Therefore, 9 m equals 900 cm.