Answer:
11.12 %
Step-by-step explanation:
Given that,
There are 90 early admission tickets.
There are 810 regular tickets.
We need to find the percentage of the tickets sold were early-admission tickets.
[tex]P=\dfrac{90}{810}\times 100\\\\=11.12\%[/tex]
So, the required percentage is 11.12 %.
Determine the area of the triangle when tana=1 the image is in the picture above
Answer:
The area will be:
[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].
Step-by-step explanation:
Using the definition of tangent, we have:
[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]
We know that tan(α) = 1, then we can find AB
[tex]1=\frac{6}{\vec{AB}}[/tex]
[tex]\bar{AB}=6\: u[/tex]
u means any unit.
Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:
[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]
[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]
[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]
[tex]\bar{BC}=6\sqrt{3} \: u[/tex]
So, the base of the triangle will be:
[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]
The area of a triangle is given by the following equation:
[tex]A=\frac{b*h}{2}[/tex]
b is the base ([tex]b=6(1+\sqrt{3})\: u[/tex])h is the height (h=6 u)[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]
[tex]A=18(1+\sqrt{3})[/tex]
Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].
I hope it helps you!
Calculate the quotient.
A. 3/4 divided by 5 1/5 is? B. 3/7 divided by 2 1/2 is? C. 5/8 divided by 6 5/6 is? D. 8 3/10 divided by 5/8 is?
What are the answers?
A) 3/4 ÷ 5 1/5.
Answer:
[tex] \frac{15}{104} [/tex]
B) 3/7 ÷ 2 1/2.
Answer:
[tex] \frac{6}{35} [/tex]
C) 5/8 ÷ 6 5/6.
Answer:
[tex] \frac{15}{164} [/tex]
D) 8 3/10 ÷ 5/8.
Answer:
[tex]13 \frac{7}{25} [/tex]
Make h the subject
G=5h-2f÷3
Answer:
I think H=5g-2f÷3 ( I'm not sure at all sorry )
Question Progress
112 Mais
Homework Progress
191 19 Mars
Find the term to term rules for the following sequences:
b)
2, 6, 18, 54, 162
Answer: Please see explanation column for answer
Step-by-step explanation:
According to sequence 2, 6, 18, 54, 162
--we can see that it is a geometric sequence since to go from one term to the next requires us to multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.
ie term 2/ term 1= 6/2 = 3
term 3/ term 2= 18/6= 3
term 4/ term 3= 54/28= 3
term 5 / term 4= 162/54=3
term 6 will therefore be 162 x3 = 486
and term 7 = 486 x 3=1,458 and so on
Recall that nth term of GP is
Tn = ar^n-1
Where a= first term
r= common ratio
n= term
such that to easily find particular term, we plug in the values and calculate
for example the 10th term of the above sequence
Tn = ar^n-1
= 2 X 3 ^(10-1)
2 X 3^9
T10 =39,366
The length of a diagonal of a square is 10 square root of 2 inches. Find the length of one side of the square.
Answer:
10inches
Step-by-step explanation:
Let the length of one side of the square be a
If the diagonal of a square is 10√2 inches
According to pythagoras theorem
a²+a² = (10√2)²
2a² = 100(2)
2a² = 200
a² = 200/2
a² = 100
a = √100
a = 10
Hence the length of one side of the square is 10inches
Boris rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 88 cents for each mile driven. Boris had to pay 138.43 when he returned the truck. For how many miles did he drive the truck?
Answer:
$220.02 - $16.99 = $203.03
$203.03 / $.79 = 257 miles
Answer = 257 miles
Step-by-step explanation:
Hope this helps! Have a great day!
Anyone know the middle question ?
A ______________ is a relation that assigns exactly one output value to one input value
Answer:
A __function__ is a relation that assigns exactly one output value to one input value.
Step-by-step explanation:
Answer:
A function is a relation that assigns exactly one output value to one input value.
Simplify: ⅕y - ⅗y + 5 - ⅖y - 8
pls
Answer:
The answer is -(4/5)y - 3.
Step-by-step explanation:
The steps are :
[tex] \frac{1}{5} y - \frac{3}{5} y + 5 - \frac{2}{5} y - 8[/tex]
[tex] = ( \frac{1 - 3 - 2}{5} y) + (5 - 8)[/tex]
[tex] = - \frac{4}{5} y - 3[/tex]
Step-by-step explanation:
⅕y - ⅗y + 5 - ⅖y - 8
-0.8y-3
-4/5y-3
Equivalent factored form for 10x^2+15x-9=2x^2+x-14
A total of 150 tickets were sold for the annual concert. Student tickets were $4 and non-students $8. If the total revenue was $840, how many tickets of each type were sold ?
Answer:
x = 90
y = 60
Step-by-step explanation:
Let x = student
Let y = non-student
x + y = 150
4x + 8y = 840 <—— Use elimination/addition ethos for both equations
8 (x + y = 150)
-1 (4x + 8y = 840) <—— Let’s eliminate y
8x + 8y = 1200
+ -4x - 8y = -840
—————————————
4x = 360
x = 90
x + y = 150 <— substitute for x from above
90 + y = 150
- 90 = - 90 <— subtract from both sides
y = 60
Please help on these
Answer:
14. (-8, 12) 15. (6, 7)
please help, will be grateful and give brainliest!
Answer:
x=216°
Step-by-step explanation:
100%=360°
To find 10% divide by 10
10%=36°
x4
40%=144°
in a full circle thered 360°
360-144=216°
x=216°
Shen invested in a savings bond for 2 years and was paid simple interest at an annual rate of 2% the total interest that he earned was $28 how much did he invest 
Answer:
Principal = $700
Step-by-step explanation:
Simple interest = principal × rate × time
Simple interest = $28
Rate = 2% = 0.02
Time = 2 years
Principal = x
Simple interest = principal × rate × time
28 = x * 0.02 * 2
28 = 0.04x
x = 28/0.04
x = $700
Principal = x = $700
n
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
O y=-x+9
y=-*x+5
y=-3x - 11y
y=-3x + 25
Answer:
Y=-3x-11y
Step-by-step explanation:
Not sure but I am pretty sure it is this
Work out the perimeter of an equilateral triangle with side length 2.7mm
Answer:
, so easy
Step-by-step explanation:
3×2.7mm=8.1mm
Answer:
8.1mm
Step-by-step explanation:
equilateral triangle all sides are equal.
If 1 side is 2.7mm what will be the total of three sides. 2.7+2.7+2.7=8.1mm
Help? Please? And make sure the answer is right plz!! :) and have a good day
Answer:
-7
Step-by-step explanation:
The amount of degrees would be the same in both those corner/angle/section are. and have a good day as well!
15 out of 60 markers are blue. What percent of the markers are blue?
How will we solve this problem?
Answer:
Step-by-step explanation:
if 15 out of 60 markers are blue
the percentage is 15/60=1/4
0.25*100=25%
Here is the sales tax on the same items in City 3.
What is the tax rate in this city? Show work on the
sketch. (Remember to round to the nearest penny.)
Sales tax percentage
Check
For the sales tax on the laundry soap, Kiran says it
should be $0.84. Lin says it should be $0.87. Do you
agree with either of them? Explain your reasoning.
I agree with Kiran
I agree with Lin
I don't agree with either of them
Explain your thinking.
cause your multiplying the numbers
Edit my response
Answer:
This needs more detail.
Step-by-step explanation:
2(x-1)=3(x-4) how many solutions
A net of a rectangular pyramid is shown. The rectangular base has length 26 cm and width 24 cm. The net of the pyramid
has length 74.8 cm and width 71.8 cm. Find the surface area of the pyramid.
The surface area is
cm2 help
Answer:
kk
Step-by-step explanation:
no pic
solve the equation P=b+c+a solve for b
Answer:
b = P - c - a
Step-by-step explanation:
A piece of ribbon is 1 metre in length. Sasha cuts of some of the
ribbon. The ribbon is now 40 cm in length.
What is the percentage change of the ribbon?
Answer:
high jatdog
Step-by-step explanation:
napaka pogi ko ayieeeeHELPPPP: From the top of a light house 50 meters high, the angle of depression of a boat out at sea has a measure of 15°. Find to the nearest meter the distance from the boat to the foot of the light house, which is at sea level.
Answer:
13m
Step-by-step explanation:
[tex]d=50tan(15)=13m[/tex]
The required distance from the boat to the foot of the light house, which is at sea level is 13meter
Given that,
The top of a light house 50 meters high,
The angle of depression of a boat out at sea has a measure of 15°.
We have to determine,
To the nearest meter the distance from the boat to the foot of the light house, which is at sea level.
According to the question,
The angle of depression may be found by using this formula = opposite/adjacent.
The opposite side in this case is usually the height of the observer or height in terms of location.
Therefore, angle of depression = 15degree
Height of the light house = 50m
The distance from the boat of the light house is denoted by d.
Then the distance from the boat of the light house is given as.
[tex]tan15 = \frac{d}{50} \\\\d = 50 \times tan15\\\\d = 50\times0.26\\\\d = 13[/tex]
Hence, The required distance from the boat to the foot of the light house, which is at sea level is 13meter
For more information about Trigonometry click the link given below.
https://brainly.com/question/2773823
Amelia calls people at random to conduct a survey. So far, 20 calls have been answered and 30 calls have not been answered. What is the approximate probability that someone answers the next call she makes?
A.
40%
B.
67%
C.
0.6
D.
2/3
Answer: 40%
Step-by-step explanation:
I guessed on this but i got it right
Answer:
40%
Step-by-step explanation:
Domain and range anyone?
Answer:
second one
Step-by-step explanation:
range is the y values
You are offered a job that pays $41,000 during the first year, with an annual increase of 7% per year beginning in the second year. That is, beginning in year 2, your salary will be 1.07 times what it was in the previous year. What can you expect to earn in your fourth year on the job? Round your answer to the nearest dollar.
Answer:
50227
Step-by-step explanation:
The measure of angle 7 is
pls help quickly
Answer:
209 degrees
Step-by-step explanation:
lena purchased a prepaid phone card for $20. long distance call cost 18 cents a minute using this card. Lena used her cared only once to make a libg distance call. if the remaining credit on her card is $13.34, how many minutes did her call last?
Answer:
37 minutes
Step-by-step explanation:
We start by finding the difference between the original amount and what is left
Mathematically, that will be;
20-13.34 = 6.66
To
cents that will be 6.66 * 100 = 666 cents
We now divide by the amount per minute
The amount per minute is 18 cents
Thus, the number of minutes will
be 666/18 = 37
Any help? Still learning this so it’s not of a problem. Thanks!