Step-by-step explanation:
every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.
therefore,
angle XVY = 90°.
for VY we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).
XY = 2×ZY = 2×17 = 34.
so,
34² = 30² + VY²
VY² = 34² - 30² = 1156 - 900 = 256
VY = 16
6) 5 mi
11 mi
7) 22 m
11 m
8) 22 yd
25 yd
Answer:
#6=perimeter=32 area=55
#7=perimeter=66 area=242
#8=perimeter=94 area=550
Step-by-step explanation:
5+5+11+11=32
5x11=55
22+22+11+11=66
22x11=242
22+22+25+25=94
22x25=550
A flower-delivery service charges $39.95 per flower arrangement and $2.99 for delivery. The total cost y is represented by the function y=39.95x+2.99 , where x is the number of flower arrangements.
Which of the following sets of numbers would be appropriate input values for the given situation? Select all that apply.
A) Integer
B) Only Zero
C) Whole Number
D) Rational Number
E) Positive Integer
F) Negative Number
Answer:
D
Step-by-step explanation:
Out of those choices, only a rational number is going to work. There are too many decimals in the given equation to give an integer, zero, a whole number or a minus number.
D
A restaurant sends customers in their loyalty program a coupon for a free birthday dessert. suppose that 8% of
the children and 12% of the adults redeem their coupons.
the restaurant takes separate random samples of 100 children and 90 adults from their loyalty program to see
the difference between the sample proportions (pc - pa).
what will be the shape of the sampling distribution of pc - pa, and why?
Answer:
Not normal, because we expect fewer than 10 children to redeem the coupon.
Step-by-step explanation:
help help please? i need it
Answer:
C, $12
Step-by-step explanation:
Every hour worked the employee earns $12. This is a fixed rate and the answer is shown in the 1st slot of the table -- 1 hour = $12
Answer:
12 dollars per hour
Step-by-step explanation:
For each hour worked, we make 12 dollars as show in the first column, 1 hour is 12 dollars
We can check using the last colum
48 dollars / 4 hours = 12 dollars per hour
676 x 122 - 45 + 69
Brainliest to whoever answers first
Answer:
82.358
Step-by-step explanation:
You have to use PEMDAS to solve this question. Since M is the first one we have to multiply since M stands for multiplication.
676 • 122 - 45 + 69
82,472 - 45 + 69
Then you add because A is next.
82,472 - 114
Then finish it
82,358
Your answer would be = 82,358
I hope it helps! Have a great day!
Muffin ^^
Two times a number minus six another number is six. Two times the first number added to three times the other number is twenty four.
Find the numbers!
Answer:
First Number: 2
Step-by-step explanation:
You need to work backwards, as an algebraic equation.
24 ÷ 3 = 8
8 ÷ 2 = 4
4 × 2 = 8
8 - 6 = 2
The first number is 2.
- Educationist
13, 39, 117, ...
Find the 6th term.
The sixth term of the sequence 13, 39, 117, ... is 243
How to determine the value of tthe 6th term?The definition of the function is given as
13, 39, 117, ...
The above definitions imply that we simply multiply 3 to the previous term to get the current term
using the above as a guide,
So, we have the following representation
an = 13(3)^(n - 1)
For the 6th term, we have
a(6) = 13(3)^(6 - 1)
Evaluate
a(6) = 243
a₃ = 9 + 3
Hence, the value of the 6th term is 243
Read more about sequence at
brainly.com/question/7882626
#SPJ1
Angel and Jaden were at track practice. The track is 2/5 kilometers around.
Angel ran 1 lap in 2 minutes.
Jayden ran 3 laps in 5 minutes
How many minutes does it take Jayden to run 1 kilometer?
Answer:
See below ↓
Step-by-step explanation:
Information we need
Jayden runs 3 laps in 5 minutesSolving
Time taken by Jayden to run 2/5 kilometers (1 lap) = 5/3 minutesTime taken to run 1 km = Time taken to run 2/5 km x 5/2 Time taken to run 1 km = 5/3 x 5/2 ⇒ 25/6 minutes (improper fraction form)⇒ 4 1/6 minutes (mixed number form)⇒ 4.17 minutes (decimal form)The carson family pays $3,252 a year for their cell phones is $3,252 a reasonable answer?
Answer:
Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.
Hourly Pay: $3252
Work hours per week: 40
Work weeks per year: 52
Income Tax Rate: 12%
To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:
$3252 × 40 hours
= $130,080.00 per week
$130,080.00 × 52 weeks
= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).
Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):
Social Security Tax
($6,764,160.00 × 6.2)/100
= $419,377.92
Medicare Tax
($6,764,160.00 × 1.45)/100
= $98,080.32
Income Taxes
($6,764,160.00 × 12)/100
= $811,699.20
+ $6,764,160.00 Gross Income
- $419,377.92 Social Security Tax
- $98,080.32 Medicare Tax
- $811,699.20 Federal/State/Local Taxes
= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56
We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.
Step-by-step explanation:
A customer buys three packets of cookies that
cost $0.55 each and a packet of pasta that costs $6.92
She gives the shop assistant $20
How much change should she receive?
order from least to greatest 4/5 9/10 1/3 7/8 i need hep fast
Answer:
Answer: 1/3, 4/5, 7/8, 9/10
Step-by-step explanation:
4/5 9/10 1/3 7/8
240
5*48=240 4*48=192 192/240
10*24=240 9*24=216 216/240
3*80=240 1*80=80 80/240
8*30=240 7*30=210 210/240
Answer:
option 1 (the basic)
Convert it into a common factor.
So everything in the denominator has to have a common multiple then we can compare from there.
You can either find every multiple here and then see which ones the same or multiply them all (not recommended)
so 120 is the common factor here.
I got this because I know 10 and 5 are basically the same. Since they almost all end with 0s. I know it has to be a number that ends with 0.
8 here is the one I calculated.
My process:
8*5 = 40
40 doesnt go to 3
8*10 = 80
80 doesn’t go to 3
8*15 = 120
120 goes to 3 (Becuase if you add up the numbers 1 + 2 + 0, you’d get 3 which is divisible by 3)
So 120 is the denominator.
Now we divide each to find the numerator now.
120/5 = 24
So we multiplieds 24 by 5 to get 120.
Thats the bottom, whatever we do on the bottom we do to the top.
So 4 * 24 is 96
96/120
Now lets fast forward
In the end you’d end up with in the order we began with
96/120 …(4/5)
108/ 120 …(9/10)
40/120 …(1/3)
105/120 …(7/8)
Now we put them in order from least to greatest in this case.
40/120 …(1/3)
96/120 …(4/5)
105/120 …(7/8)
108/120 …(9/10)
Your order would be
1/3
4/5
7/8
9/10
Option 2 (the decimal)
SO in this case you jsut convert them into a decimal then compare
This is relatively easier since its jsut basic division with decimal.
You do numerator divide by denominator.
4 ÷ 5 = 0.8
9 ÷ 10 = 0.9
1 ÷ 3 = 0.3333333…
7 ÷ 8 = 0.875
Now you just put them in order
0.2, 0.333…, 0.875, 0.9
Same order as before
1/3, 4/5, 7/8, 9/10
How can we describe the relationships that exist between circles and lines?
circles are 360⁰ and lines are 180⁰
PLEASE HELP! ASAP!!!!!
Answer:
A, E, B
Step-by-step explanation:
please help me i need to solve for x
Answer:
1.732i (complex form)
its weird, at high-school level complex shouldn't come, its considered mistake in the question. But the mathematically its all correct
Step-by-step explanation:
Henry begins a savings account with $500. The savings account accumulates 2.5% annual interest based on the
equation Vh= 500(1.025), where Vh is the value of the account after t years. Andres begins a savings account three
years later with the same initial amount of money at the same interest rate. Which equations represent the value of
Andres's account after t years?
A.
B.
C.
D.
Answer:
it’s B
Step-by-step explanation:
Answer: The answer to the question is option A
Step-by-step explanation:
help me please i need help
Answer:
72
Step-by-step explanation:
1 large cube is 2 x 3 cubes equals 6
length is 3 x 4 x 2 = 24
24 x 3 = 72 for each layer
72 x 2 = 144 smaller cubea
HELP ASAP
Mr. Rodriguez asked 60 randomly chosen students from each grade level at Willowbrook School about their favorite types of reading materials. Of those 60 students, 12 chose science fiction. Mr. Rodriguez used the data to draw the inference that about 20% of middle school students prefer to read science fiction. If 150 students attend the school, did he make a reasonable inference? Explain
Answer:
No
Step-by-step explanation:
The sample size wasn't big enough. It could only be a trend in that grade.
Answer:
Mr. Rodriguez made a reasonable assumption. His surveys were random, non-biased, and relatively large in comparison to the school population. 12 out of 60 is 20%.
Step-by-step explanation:
find the approximate radius of a circle with circumference of 198 centimeters
Answer:
C=2πr
r=C/2π
198/2π
≈31.51268cm
Which ordered pair is a solution to the following system of inequalities?
y ≤ –x2 + 5x
y > x2 – 4
(–1, –1)
(0, 2)
(2, 5)
(4, 1)
Verifying the conditions, it is found that ordered pair (2,5) is a solution to the given system of inequalities.
What is the system of inequalities?As stated in the problem, it is modeled by:
y ≤ –x2 + 5x
y > x2 – 4
For ordered pair (-1,-1), we have that:
y ≤ –x2 + 5x
-1 ≤ –(-1)2 + 5(-1)
-1 ≤ -6
Which is false.
For ordered pair (0,2), we have that:
y ≤ –x2 + 5x
2 ≤ –(0)2 + 5(0)
2 ≤ 0
Which is false.
For ordered pair (2,5), we have that:
y ≤ –x2 + 5x
5 ≤ –(2)2 + 5(2)
2 ≤ 6
Which is true.
y > x² - 4
5 > 2² - 4
5 > 0
Which is true.
Hence ordered pair (2,5) is a solution to the given system of inequalities.
More can be learned about a system of inequalities at https://brainly.com/question/9774970
Answer:
the third option (2,5)
Step-by-step explanation:
I just took the test:)
Is my answer correct?
Answer:
I believe the majority you got correct, just a few changes. Look at image above for reference.
How many fluid ounces are in 12 1/4 cups
Please I need help
Will give brainlest answer !!!
Answer:
41
Step-by-step explanation:
5 integers with an average of 44
⇒ sum of the integers = 5 x 44 = 220
The median is the middle number when the numbers are put in order of smallest to largest. So the integers are: x x 50 x x
The modal integer is the one that occurs most frequently, so if the mode is 52, then at least 2 of the integer are 52. Since the median is 50, the integers are: x x 50 52 52
Therefore, the remaining two integers are less than 50.
The range is the difference between the largest integer and the smallest integer. As we know that the largest integer is 52 and the range is 27, then the smallest integer is 52 - 27 = 25
25 x 50 52 52
To find the last unknown integer :
⇒ sum of the integers = 25 + 50 + 52 + 52 + x = 220
⇒ x = 41
Therefore, the integers are:
25, 41, 50, 52, 52
simplify 12(3a-1)-3(14a-1)
Step-by-step explanation:
please mark me as brainlest
Answer:
6a - 9
Step-by-step explanation:
[tex]12(3a-1) -3(14a-1)\\[/tex]
First you want to factor. Factor out a -3 from both terms.
[tex]= (-3)(-4(4a-1) + (14a-1))\\[/tex]
Then you want to expand the right bracket.
[tex]= (-3)(-16a + 4 + 14a - 1)\\[/tex]
Collect the like terms
[tex]= (-3)(-2a +3)\\[/tex]
Distribute:
[tex]= 6a - 9[/tex]
Help on this pleasse.
Answer: 40 degrees
Step-by-step explanation:
Write an exponential function Y=ab^x for a graph that includes (-1.0,6) and (1, 15).
Answer: perimeter: 40.79
Area: 84
Step-by-step explanation:
perimeter: (√3² + 6²) + (√1² + 6²) + 7 + 6 + 6 + 9 = 40.79
area: ((9 + 6) x 6) / 2 + ((6 + 7) x 6) / 2) = 45 + 39 = 84
Find the mean of the following data set rounded to the nearest hundredth.. 20, 19, 18, 20, 19, 22
Answer:
19.6
Step-by-step explanation
= Sum of terms / number of terms
= ( 20 + 19 +18+ 20 +19 +22 ) / 5
= 19.6
Help me, please guyyyyyyusssssss.
Answer:
Step-by-step explanation:
7) Volume of the shape = Volume of triangular prism - volume of cylinder
Triangular prism:
[tex]\boxed{ \text{Volume of triangular prism = base area * h }}[/tex]
b = 6 ft & height of the triangle = 5 ft
[tex]\sf Base \ area = \dfrac{1}{2}* 6* 5[/tex]
= 3*5
= 15 ft²
Volume of prism = 15 * 4
= 60 ft³
Cylinder:
r = 2÷2 = 1 ft & h = 4 ft
Volume of cylinder = 3.14 * 1 * 1 * 4
= 12.56 ft³
Volume of the shape = 60 - 12.56
= 47.44 ft³
8) Volume = Volume of Pyramid - Volume of cone
[tex]\boxed{\text{Volume of the Pyramid = base area * h} }[/tex]
[tex]\text {base area = length * width}\\\\\\[/tex]
= 9 * 9
= 81 m²
Volume of Pyramid = 81 * 8
= 648 m³
[tex]\boxed{ \text{Volume of cone = \dfrac{1}{3} \pi r^{2}h}}[/tex][tex]\boxed{ \text{Volume of cone = $\dfrac{1}{3} \pi r^{2}h$}}[/tex]
r = diameter ÷ 2 = 6÷2
r = 3 m & h = 8 m
[tex]\text{ Volume of cone =$\dfrac{1}{3}*3.14* 3*3*8$}[/tex]
= 3.14 * 3 * 8
= 75.36 m³
Volume of the shape = 648 - 75.36
= 572.64 m³
9) Volume of the shape = volume of cylinder + volume of cone
Cylinder:
h = 7 in ; r = 3
[tex]\boxed{\text{Volume of cylinder =$ \pi r^{2}h$}}[/tex]
[tex]=\dfrac{22}{7}*3*3*7[/tex]
= 22 *3 * 3
= 198 in³
Cone:
r = 3 in & h = 4 in
[tex]\text{Volume of cone = $ \dfrac{1}{3}*3.14*3*3*4$}[/tex]
= 3.14 * 3 * 4
= 37.68 in³
Volume of the shape = 198 + 37.68
= 235.68 in³
10) Volume of the shape = Volume of outer cyliner - volume of inner cylinder
Volume of outer cylinder:
R = 9 m & h = 3 m
Volume of outer cylinder = 3.14 * 9 * 9 * 3
= 763.02 m³
Volume of inner cylinder:
r = 5 m & h = 3 m
Volume of inner cylinder = 3.14 * 5 * 5 * 3
= 235.5 m³
Volume of the shape = 763.02 - 235.5
= 527.52 m³
For Halloween, Kate wears a monocle
that has a radius of 3 centimeters.
What is the monocle's circumference?
Use 3.14 for n.
centimeters
Answer:
18.84 square centimeters
Step-by-step explanation:
[tex]C =[/tex] [tex]\pi[/tex][tex]d[/tex]
[tex]C = (3.14)(6)[/tex]
[tex]C = 18.84[/tex] [tex]cm^{2}[/tex]
P.S: Diameter is radius + radius so that means that diameter is 3 + 3 for this problem.
What is the result when the number 39 is decreased by 3%?
result = 39 - 39 x 3% = 39 x 0,97 = 37,83
Write the equation for the circle with center at (-8,-6) and radius of 10.
Answer:
Step-by-step explanation: