Answer:
28 girls
Step-by-step explanation:
Let total students be ‘X’
No of girls = (X-20)
Girls/Boys=7/5=(X-20)/20
7(20) =5(X-20)
140=5X-100
5X=240
X = 240/5
X =48
So, Total Students are 48
No of girls = (X-20) = 48-20 = 28
M∠E + m∠S=______° (plzzz help me )
 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III
Given:
[tex]\sin x=-\dfrac{15}{17}[/tex]
x lies in the III quadrant.
To find:
The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].
Solution:
It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.
We know that,
[tex]\sin^2 x+\cos^2 x=1[/tex]
[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]
[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]
[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]
x lies in the III quadrant. So,
[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]
[tex]\cos x=-\dfrac{8}{17}[/tex]
Now,
[tex]\sin 2x=2\sin x\cos x[/tex]
[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]
[tex]\sin 2x=-\dfrac{240}{289}[/tex]
And,
[tex]\cos 2x=1-2\sin^2x[/tex]
[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]
[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]
[tex]\cos 2x=\dfrac{289-450}{289}[/tex]
[tex]\cos 2x=-\dfrac{161}{289}[/tex]
We know that,
[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]
[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]
[tex]\tan 2x=\dfrac{240}{161}[/tex]
Therefore, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].
what is the answer please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
22/75
Step-by-step explanation:
To find the average add up the values and divide the sum by the number of values.
Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem
=1/2+1/5+1/5+1/10+7/15
The least common denominator (LCD) is: 30.
Rewriting as equivalent fractions with the LCD:
=15/30+6/30+6/30+3/30+14/30
Rewriting numerators over the common denominator,
=15+6+6+3+1430
Totaling the numerator:
=44/30
Reducing the fraction:
=22/15
Dividing by the number of values: 5
22/15÷5=22/15×15=22/75
Average of the fractions is:
Average=22/75
At 2:45 in the afternoon, the tree cast a 9-foot shadow. Just after sunrise, the shadow had been 24 feet. What was the % change in the shadow’s length?
Divide: 1213 ÷ 9 = A)
134 R7
B)
134 R8
C)
135 R7. D)
135 R8
2 1/5+6 4/5 6 5/12 -2 1/12 11 8/9+4 1/3 7 1/6-5 3/4 11/18+ 6 1/10 15 1/3- 2 5/8 mixed numbers
Answer:
2 1/5+6 4/5 = 9
6 5/12 -2 1/12 = 4 1/3
11 8/9+4 1/3 =16 2/9
7 1/6-5 3/4 = 1 5/12
11/18+ 6 1/10 = 6 64/90
15 1/3- 2 5/8 = 12 17/24
Step-by-step explanation:
Using the technique of mixed numbers to add the fractions
2 1/5+6 4/5
=2+6 + 1/5+4/5 add the whole numbers separately and then the fractions
=8 5/5= 9
6 5/12 -2 1/12
=6-2 + 5-1/12
=4 4/12
= 4 1/3
11 8/9+4 1/3
=11+4 +8/9+1/3 adding the whole numbers separately
=15 + 8+3/9
= 15+11/9 adding the fractions separately
= 15+1+2/9
= 16+2/9
=16 2/9
7 1/6-5 3/4
= 7-5 +1/6 -3/4 subtracting the whole numbers separately
= 2+ 2-9/12 subtracting the fractions separately
= 2-7/12
= 24-7/12
= 17/12
=1 5/12
11/18+ 6 1/10
= 11/18 + 61/10
= 110 +1098/180
= 1208/180
= 6 128/180
= 6 64/90
15 1/3- 2 5/8
=15- 2 + 1/3- 5/8
=13 + 8- 15/24
= 13 + -7/24
= 312-7/24
= 12 17/24
please help me do it
Answer:
D) FJ is a perpendicular bisector
What is -8w-4 simplified?
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]
[tex] - 4(2w + 1)[/tex]
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]
[tex] - 8w - 4[/tex]
Bind the expression with the common factor -4
[tex] - 8w - 4[/tex]
#❀CARRY ON LEARNING❀#❀KEEP ON LEARNING❀#❀LEARNING IS FUN❀#❀LETS LEARN❀#❀NoToCopyPaste❀❀hope it helps(◕ᴗ◕✿)❀❀Keep safe!❀シ︎Answer: −4(2w+1)
Step-by-step explanation: Hope this help :D
PLEAS HELP PLEASE ASAP
Answer:
9 it is
Step-by-step explanation:
Solve. Round to the nearest hundredth.
(Help! Will give brainliest)
what is a discriminant? (maths definition)
Discriminant: in mathematics, a parameter of an object or system calculated as an aid to its classification or solution.
Answer: Discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2
Hope this helped!
Sending U you good luck!
Cindy put equal sized marbles into a bowl. Then, she shook the bowl until 3 marbles fell out. Is this a random sample of the marbles? YESS OR NOO?
ANSWER FAST!!
Answer:
Yes
Step-by-step explanation:
I'm assuming this is right
A water bottle company is designing a new larger cylindrical water bottle that is intended to hold 4 times as much water as the original cylindrical water
bottle. Which of the following methods would work to create the larger water bottle with the intended volume?
1. Double the radius of the original water bottle. Keep the height the same.
II. Double the height of the original water bottle. Keep the radius the same.
III. Double the height and double the radius of the original water bottle
IV. Quadruple the height of the original water bottle. Keep the radius the same
o I and IV
O I and 11
O I, II, III, and IV
O III and IV
Answer:
option 3, double the height and with of original bottle
The methods which will create the larger water bottle with the intended volume is 1 and IV.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given that,
A water bottle company is designing a new larger cylindrical water bottle that is intended to hold 4 times as much water as the original cylindrical water bottle.
Volume of a cylindrical shape = π r² h
Let V be the original volume.
If radius is doubled, then the new volume is,
V' = π (2r)² h = 4(π r² h) = 4V
So 1 is an option.
When the height is Quadrupled,
V' = π r² 4h = 4(π r² h) = 4V
Hence the correct options are 1 and IV.
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Taylor is producing graphic T-shirts that
will come in three different colors. He
randomly surveys 100 people, asking which
one of the three colors they prefer. Of the
100 people surveyed,55 say that they prefer
the white T-shirt. If Taylor is going to produce
500 graphic T-shirts, about how many should
be white?
If Taylor is producing graphic T-shirts that will come in three different colors then about 275 graphic T-shirts should be white.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Since Taylor randomly surveyed 100 people and 55 of them said they prefer the white T-shirt
we can estimate the proportion of people who prefer the white T-shirt as:
p = 55/100 = 0.55
We can assume that this proportion is a good estimate of the true proportion of people who will prefer the white T-shirt among all potential customers.
To estimate the number of people who will prefer the white T-shirt among 500 potential customers
The formula for the expected value of a binomial random variable is
E(x) = np
Substituting the values, we get:
E(x) = 500 × 0.55 = 275
Therefore, about 275 graphic T-shirts should be white.
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What expression is equal to (5^4)²
Answer:
5^8
Step-by-step explanation:
multiply the exponents = 4x2 = 8
Andresssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
Anderess?
Step-by-step explanation:
Which one? Do i chose
Answer:
226 inches cube
Step-by-step explanation:
The volume of the cylinder is the area of the base X height therefore it would be 3^2 * 3.14 * 8 = 72 * 3.14 = 226.08.
Answer:
151 in^3
Step-by-step explanation:
pi x 3^2 x 5.5 (the approximate water level)
= 155
151 is the closest answer
Does the mean or median best describe a typical value in the data set shown?19, 18, 19, 18, 19, 19, 1, 19, 18, 19, 18
Answer:
Probably mean.
Step-by-step explanation:
The median is the middle number (in this case, 19) and the mean is the average of all the numbers
I need help please ........ on 6.
Answer:
Step-by-step explanation:
Remark
His pay gets income tax deducted at a rate of 18% = 18/100
That means you multiply is weekly wage by 18/100 to get what the government takes off.
Solution
18/100 * 495 = 80.10
The government takes $80.10
His take home pay is 495 - 80.10 = $405.90
Note:
There is a short way of doing his take home pay if that is all you are interested in. His take home pay is 82% of his gross pay which is 82/100 * 495.
82/100 * 495 = 405.90
Jose wants to pay off his credit card balances within 18 months. He is trying to decide if he should use his $1,750 in
savings to pay off part of the balances or if he should transfer the balances to a new card with a low introductory
rate. The new credit card has an introductory rate of 8% but charges a balance transfer fee of $60 for each balance
transfer. Jose decides to pay off Credit Card B using his savings and then transfer the balance of Card A to the new
card. Which of the following options shows the amount of Jose's new monthly payment?
Credit Card A: $1,154
Credit Card B $1,469
A. $90.43
B. $68.25
C. $71 80
D. $75.34
Answer:
ANSWER IS C: 71.80
Step-by-step explanation:
hope this helps :D you got this!!
The amount that corresponds to the new monthly payment of Jose is approximately $75.34. Hence, option D is correct.
What is use of credit card ?Credit cards are a widely used financial tool that allow individuals to make purchases on credit. The main use of a credit card is to allow the cardholder to borrow money from the card issuer
If Jose decides to pay off Credit Card B using his savings of $1,750, he will have a remaining balance of $1,154 on Credit Card A.
If he transfers the balance of Credit Card A to the new card with a low introductory rate of 8%, he will incur a balance transfer fee of $60.
The total balance transferred = $1,154 + $60 = $1,214.
To determine his new monthly payment, we need to calculate the monthly interest rate on the new card.
At an annual interest rate of 8%, the monthly interest rate is :
8% / 12 = 0.67%.
Using an online loan calculator or spreadsheet, we can calculate that the monthly payment required to pay off a balance of $1,214 in 18 months at a monthly interest rate of 0.67% is $75.34 (rounded to the nearest cent).
Therefore, the answer is D. $75.34, which represents Jose's new monthly payment.
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You charge $2 per evening plus $5 per hour to babysit and you only charge for whole hours. You have a goal to earn at least $121 for 8 evenings of babysitting. What is the least amount of hours in total you need to babysit for the evenings?
Answer:
8 hours
Step-by-step explanation:
Answer:
21 hours
Step-by-step explanation:
8 evenings x $2 per evening = $16
$121 - $16 = $105
$105 / $5 per hour = 21 hours
to check:
21 hours x $5 per hour = $105
8 evenings x $2 per evening = $16
$105 + $16 = $121
Is 32 + 33 equal to 35 ? Explain.
!!! help
Answer:
no
Step-by-step explanation:
32+33=65
5. The circumference of the earth is about 24,855miles. Find the surface area of the Western Hemisphere of Earth.
Answer:
oh my answer is in the explanation
Step-by-step explanation:
it
is
quite
big
The circle graph shows the result of a survey of 1500 middle school students.
How many students save their money?
Answer:
Theres no pic
Step-by-step explanation:
I cant solve this
Find the value of x please and fast!!
Answer:
B) 5
Step-by-step explanation:
HELP ASAP PLS!!! I WILL MARK BRAINLIEST, PROMISE!!!
Select the correct answer.
Which number is a rational number?
this is for PLATO, btw
Answer: 17.156
Step-by-step explanation:
A rational number is any number that has a pattern (in decimals) and can be written as a fraction. 17.156 is a terminating decimal. So its a predicting pattern therefore is a rational number.
The ratio of 3 to 8 is equivalent to which
of these ratios?
A 16 to 6
B. 18 to 48
C. 48 to 6
D. 18 to 16
Answer:
B
Step-by-step explanation:
18:48
divide both sides by 6
3:8
3. The width of a rectangle is 4 feet less than the length. The area is
12 ft. Find the dimensions of the rectangle.
Answer:
L = 6, w = 2
Step-by-step explanation:
Let w = width of rectangle
Let L = length of rectangle
w = L - 4
Area of rectangle = Lw
L (L - 4) = 12
L^2 - 4L = 12
L^2 - 4L - 12 = 0
(L - 6)(L + 2) = 0
L - 6 = 0
L = 6 (the other option doesn't work because dimensions can't be negative)
w = L - 4
w = 6 - 4
w = 2
Double check
A = Lw
A = 6 x 2
A = 12
It matches so we are right.
Trina collects 56 oak leaves,38 maple leaves,and 46 birch leaves. what percent of trina's leaf collection is made up of oak leaves?
Answer:
40% of 140 because 56+38+46= 140
Write an equation through the point (0,13) with a slope 11/3
Answer:
13=11/3(0)+c
c=13
y=11/3X+13
Step-by-step explanation:
please like and brainliest mee