Answer:
11......................
Volume = (1/3) . π . r² . h
475.17 = (1/3) . π . r² . 15
475.17 = 5πr²
r² = 475.17/5π
r² = 30.25
r = √30.25 = 5.5
Diameter = 2r = 2 × 5.5 = 11 yd
All sides of the convex pentagon $ABCDE$ are of equal length, and $\angle A = \angle B = 90^\circ$. What is the degree measure of $\angle E$?
Answer:
∠E = 150°
Step-by-step explanation:
All sides of the convex pentagon ABCDE are of equal length, and ∠A = ∠B = 90°. What is the degree measure of ∠E?
Solution:
A pentagon is a polygon with five sides and five angles. For a regular polygon, all the sides are equal and each angle is 108°.
Since ∠A and ∠B are right angles, and AE = BC = AB = CE. Therefore ABCE is a square. This means ∠AEC = 90°
Also triangle CDE is equilateral because all sides of the triangle are equal, hence ∠DEC = 60°.
Therefore ∠E = ∠AEC + ∠DEC = 90° + 60°
∠E = 150°
4. Up until the last game, Sellina has made 75% of her free-throws. If she continues
to make her free-throws at this rate, what is the probability that she will make the
next two free-throws in the next game?
Answer:
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either Sellina makes it, or she misses. The probability of making a free throw is independent of any other free throw. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
75% of her free-throws.
This means that [tex]p = 0.75[/tex]
What is the probability that she will make the next two free-throws in the next game?
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.75)^{2}.(0.25)^{0} = 0.5625[/tex]
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
A card is drawn at random from an ordinary pack of playing cards. What is the probability that it is neither a face card nor a black card? 16/52 = 4/13 10/52 = 5/26 14/52 = 7/26 20/52 = 5/13
20 / 52 = 5 / 13
Step-by-step explanation:
Probability(P) is the likelihood of occurrence of an event. It is given by;
P = total number of favourable outcomes ÷ total number of possible outcomes
In a pack of playing cards, there are 52 cards altogether.
Therefore, the total number of possible outcomes = 52
To get the probability that a card drawn at random is neither a face nor a black card, the following should be noted.
i. There are 12 face cards in the pack. These are the kings (4 cards), queens(4 cards) and the jacks (4 cards).
Therefore, number of cards that are not face cards = 52 - 12 = 40
ii. Black cards are half of the total number of cards = 26.
These black cards contain half of the kings, queens and jacks cards = 6 which are already included in the face cards. Therefore, the remaining black cards will be 26 - 6 = 20
Neither a face card nor a black card = 40 - 20 = 20 [number of favourable outcomes]
The probability of getting neither a face card nor a black card is
=> total number of favourable outcomes ÷ total number of possible outcomes
=> 20 / 52 = 5 / 13
x/2
If x = 16, what is the solution?
A 8
B 9
C 14
D 32
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\rm{YOUR\ EQUATION: \dfrac{x}{2}}[/tex]
[tex]\large\text{If x = 16, then substitute it where the x-value is in the given equation}[/tex]
[tex]\rm{NEW\ EQUATION: \dfrac{16}{2}}[/tex]
[tex]\rm{\dfrac{\bold{16}}{{2}}[/tex]
[tex]\rm{= \underline{\bf 8}}[/tex]
[tex]\large\text{Because, 8}\times\large\text{2 gives you 16}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf Option A. 8}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Eli wanted to order candy online. Company A is offering 2 12 pounds of chocolate for $32.50. How much is Company A charging per pound of chocolate?
Answer:
Step-by-step explanation:
To determine price per lb, divide dollar amount by lbs.
- Company A sells 2 1/2lbs (2.5lbs) for $32.50
So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb
- Company B sells 2 3/4lbs (2.75lbs) for $35.00
And, Company B's price / lb = ($35.00/2.75lbs) = $12.73/lb
Therefore, Company B is offering the lowest price/lb at $12.73/lb.
16. A map is drawn on a coordinate plane.
Each unit represents 10 miles. Terri
drives from her home at point G to her
friend's home at point H, following the
route shown below. Terri drives steadily
at 50 miles per hour. How long is the
distance between the two points? How
long will it take Terri to get from point
G to point H?
Answer:
can't answer without the picture because you need the route to know how far.
The most Stanley can afford to pay per year in mortgage payments is $12,000, and his credit score is currently 544. According to the following table for a $150,000 mortgage, by how many points would he need to improve his credit score in order to take a mortgage for $150,000? FICO Score 720-850 700-719 675-699 620-674 560-619 500-559 Interest Rate 5.59% 5.71% 6.25% 7.40% 8.53% 9.29% Monthly Payment $860 $872 $924 $1,039 $1,157 $1,238 O A. 156 points OB. 131 points O C. 76 points O D. 14 points
The answer is not listed in the options. The credit score points are 170.
What is a credit score?To determine the answer, we need to find the interest rate and monthly payment associated with Stanley's credit score of 544.
Since Stanley's credit score is not listed in the table, we need to estimate the interest rate and monthly payment based on the information provided. Generally, the lower the credit score, the higher the interest rate and monthly payment.
Let's assume that Stanley's interest rate would be 10% and his monthly payment would be $1,000 based on his credit score of 544.
Using the table, we can see that for a $150,000 mortgage with a 10% interest rate, the monthly payment would be $1,316.
Now, we need to determine how much Stanley can afford to pay per year in mortgage payments, which is $12,000. We can divide $12,000 by the monthly payment of $1,316 to get the number of payments he can make in a year: $12,000 ÷ $1,316 = 9.12 payments.
Since there are 12 months in a year, Stanley can only make 9 payments per year. Therefore, he can only afford a mortgage with 9 payments of $1,316, which is $11,844 per year.
To afford a $150,000 mortgage, Stanley would need to lower his interest rate or increase his monthly payment. Since he cannot afford a higher monthly payment, he would need to improve his credit score to lower his interest rate.
Looking at the table, we can see that the interest rate associated with a credit score of 675-699 is 6.25%, which would result in a monthly payment of $924. To afford a $150,000 mortgage with a monthly payment of $924, Stanley would need to improve his credit score by 544 - 675 + 1 = 170 points.
Therefore, the answer is not listed in the options.
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what is the algebraic equation of the product of twenty and five minus seventy-eight is n?
a. (20-5)-78
b. (20+5)+78
c. (20×5)+78
d. (20×5)-78
Answer:
d
Step-by-step explanation:
Ellie buys some craft supplies. The supplies cost a total of $6.43. She pays with a $20
bill. How much change does she receive?
The change she receive = 20-6.43= 13.57$
Answer:
$13.57
Step-by-step explanation:
$20 - $6.43
=13.57
i need help plsssssssss
5 )
x^2 = 5^2 + 5^2
x^2 = 2 × 5^2
x = √( 2 × 5^2 )
x = 5√2 cm
_____________
6 )
x^2 = 30^2 + 40^2
x^2 = 900 + 1600
x^2 = 2500
x = √2500
x = 50 yards
Find the volume of a pyramid with a square base, where the area of the base is 19 cm^2 and the height of the pyramid is 23.8 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
150.7
Step-by-step explanation:
Formula to the find volume of a pyramid:
V=1/3 (B)(h)
V=1/3 (19) (23.8)
If 2x − 9 = x, then 12x =____?
The Story of Ben and Arthur- Both save $500 per month at 11% compounded monthly. Ben starts at age 19 and stops at age 26, while Arthur starts at age 27 and stops at age 65.
Answer:
Results are below.
Step-by-step explanation:
It is not clear what the question is. But, I will assume that we need to calculate the future value of each investment at age 65.
First, we need to calculate the future value of the monthly deposit made by Ben. We will use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit= 500
Interest rate (i)= 0.11/12= 0.0092
Number of months (n)= (26 - 19)*12= 84
FV= {500*[(1.0092^84) - 1]} / 0.0092
FV= $62,944.74
Now, the future value of the investment of Ben at age 65:
FV= PV*(1 + i)^n
n= (65 - 26)*12= 468 months
FV= 62,944.74*(1.0092^468)
FV= $4,574,131.31
Finally, the future value of the investment for Arthur:
i= 0.0092
n= (65 - 27)*12= 456
A= 500
FV= {500*[(1.0092^456) - 1]} / 0.0092
FV= $3,484,032.07
How do you solve 5 * 10^-2
Answer:
0.05
Step-by-step explanation:
10^-2 = 1/100
1/100 * 5 = 0.05 or 1/20
Rewrite the linear function 7x−y=15 in slope-intercept form.
y=−7x−15
y=7x+15
y=−7x+15
y=7x−15
please help!!
The first positive angle between the initial and terminal arm of an angle in standard position is called the
Answer:
The initial arm of an angle rotates to its terminal position, either in a positive, counterclockwise direction or a negative, clockwise direction. The principal angle is the first positive angle less than 360°.
The positive angle formed when an angle is in a standard position is called principal angle.
An angle is formed at the point where two or more lines meet. And it is said to be in a standard position if its edge is located at to the origin with its initial arm in line with the horizontal axis. The initial arm of an angle is the side with which the angle is measured from, while the terminal arm is the side on which the measure of an angle terminates. Thus, angles are normally measured from there initial arm to the terminal arm.
Therefore, the first positive angle formed between the initial and terminal arm of an angle in a standard position is usually called the principal angle.
A sketch for more clarifications is herewith attached to this answer.
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PLEASE HELP I WILL MARK BRAINLIEST DUE IN 5 MINUTES
look at attachment
Answer:
A: -9a
Step-by-step explanation:
Hope that helps!
Can someone please give me a lesson on angles of depression and elevation?
Answer:
Angles of depression and elevation
The term angle of elevation denotes the angle from the horizontal upward to an object. The term angle of depression denotes the angle from the horizontal downward to an object. ... An observer's line of sight would be below the horizontal.
Step-by-step explanation:
I hope it's help u
Evaluate the expression (8.1 +7.9)x-(25/5)x
Answer:
The answer final is : 11x I'm very sure
Step-by-step explanation:
If you want me to expand on the equation leave me a comment
find the 24th term in a rule of 3n+2.
a. 72
b. 74
c. 76
d. 78
Answer:
74
3n+2
3×24=72
72+2=74
If CD represents 100%, what is the length of a line segment that is 25%? Explain.
Answer:
(1/4)CD
Step-by-step explanation:
The length of a segment that represents 25% will be 1/4 as long as the segment representing 100%.
25% is 1/4 of 100%
25% = 1/4 = 0.25
How many edges does the following shape have?
Answer:
8. hope this helps
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Your teacher asks all 30 students in your class their favorite color and tallies the results. Which graph would best
demonstrate the favorite colors of the students in the class?
A)
bar graph
B)
pie chart
circle graph
D)
stem-and-leaf plot
E)
box and whiskers plot
Ans it depends but i think it is a and b
what sum of money amounts to Rs 60000 in 2 years at the rate of 10% per annum find it
Answer:
Rs.27000
Step-by-step explanation:
60000 ÷ 2 = 30000 per year
30000 × [tex]\frac{10}{100}[/tex] = Rs. 3000
30000 - 3000 = Rs. 27000
i need help pls its a review form few years ago i cant rember the greeen and gray box pls help me
Answer:
The answer is 21 remainder 6
Step-by-step explanation:
Try To Solve It
And If Right I give thanks and 5 star rate
In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sum of the digits is 11, find the number. Write and equation, where the hundredths digit is x.
Answer:
The mentioned number in the exercise is:
362Step-by-step explanation:
To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.
If:
x = hundredths digity = tens digitz = ones digitWe can write:
x = z + 1 (the hundreds digit is one more than the ones digit).y = 2x (the tens digit is twice the hundreds digit).x + y + z = 11 (the sum of the digits is 11).Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:
x + y + z = 11(z + 1) + y + z = 11 (remember x = z + 1)z + 1 + y + z = 11z + z +y + 1 = 11 (we just ordered the equation)2z + y + 1 = 11 (z + z = 2z)2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)2z + y = 102z + (2x) = 10 (remember y = 2x)2z + 2x = 102z + 2(z + 1) = 10 (x = z + 1 again)2z + 2z + 2 = 104z + 2 = 104z = 10 - 24z = 8z = 8/4z = 2Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:
x = z + 1x = 2 + 1x = 3And we'll use the second equation to obtain the value of y (the tens digit):
y = 2xy = 2(3)y = 6Organizing the digits, we obtain the number:
Number = xyzNumber = 362As you can see, the obtained number is 362.
PLS HELP LOLZ <33
tasha is putting money into a savings account with a simple interest rate of 4% per year. if she initially deposits $6,000, then how much will her investment be worth at the end of six year
Answer: tasha's investment will be worth $1,440
Step-by-step explanation:
4%= 4/100= 0.04
PRT=6,000*0.04*6= $1,440
Please help me with these questions. Thank you. I will mark you as brainliest.
Answer:
∠1 = ∠5 (corresponding angle)
⇒∠5 = 50 deg
∠5+∠6=180 deg (total sum is 180)
50+∠6=180
∠6=180-50
∠6=130
Step-by-step explanation:
∠5=86 (corresponding angle)
∠5=(4x+38) (vertically opp angle)
86=4x+38
4x=86-38
4x=48
x=12
Answer:
angle 1+angle 6=180(being exterior alternate angle)
50+angle 6=180
angle 6=180-50
angle 6=130
for value of x
angle 5=86 degree(being corresponding angle)
angle 5=angle 4x-38
86=4x-38
86+38=4x
124/4=x
31=x
relationship between angle 2 and 6 is they are corresponding angles
angle 1=63+61
angle 1=124 degree
5 no .second option is correct
6 no a=75 degree
last question answer =34 degree
Step-by-step explanation:
What is -25 1/4 - 19.1 in decimal form? You must show the steps for converting the fraction to a decimal. then show your steps in subtracing
Answer:
-44.35
Step-by-step explanation:
1/4 = 0.25 (as 0.25 * 4 = 1)
-25 1/4 = -25.25
-25.25 - 19.1 = -44.35
The value is -44.35.
What is simplification?The process of replacing a mathematical expression with one that is equivalent, simpler, and typically shorter. Examples of simplification include simplifying algebraic expressions in computer algebra, simplifying Boolean expressions in logic optimization, and simplifying fractions by using conjunction elimination in logic inference to produce a formula that is simpler but typically not equivalent to the original.
Given [tex]-25\frac{1}{4}[/tex] - 19.1
[tex]-25\frac{1}{4}[/tex] can be written as -(25 + 1/4)
1/4 multiply and divide by 25
we get 25/100
to convert fraction into decimal make the base multiple of 10 and put decimal ahead the no. of digits
20/100 = 0.25
equation is -25.25 - 19.1 = -44.35
Hence the value is -44.35.
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