The trigonometric ratio will be Cos(n)=12/13
What will be the trigonometry ratio?Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.
Given are the sides LM = 15, MN = 36, and LN = 39.
It says to find cos(n) = ?
So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.
We know that the cosine ratio is given by :-
[tex]Cos(n)=\dfrac{adjacent}{Hypotenuse}[/tex]
[tex]Cos(n)=\dfrac{MN}{LN}[/tex]
[tex]Cos(n)=\dfrac{36}{39}[/tex]
[tex]Cos(n)=\dfrac{12}{13}[/tex]
Hence the required ratio will be [tex]Cos(n)=\dfrac{12}{13}[/tex]
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please help me here?
Answer:
$90
Step-by-step explanation:
12 * 4 = 48
48 + (12*3.5) = 90
answer is $90
A new club sent out 180 coupons to boost sales for next year's memberships. They provided 4 times as many to potential members than to existing members. How many coupons did they send to existing members?
They sent 36 coupons to the existing members
a. In the library there are 2,345 science books, 1,469 history books, 270 chairs, and 628 ma zines. How many readable items in all are in the library?
Answer:
4442
Step-by-step explanation:
We Cant Read A Chair So We Exclude Chairs.
Therefore, 2345+1469+628
Which is equals to 4442
A bag contains 30 cookies: 9 vanilla, 9 chocolate, and 12 oatmeal. What is the probability that a chocolate is randomly selected
Answer:
30% for chocolate
Step-by-step explanation:
9÷30= 30% 0.3 vanilla
9÷30=30% 0.3 chocolate
12÷30=40% 0.4 oatmeal
The probability of choosing chocolate is 0.30.
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Number of total cookies = 30
Number of vanilla = 9
Number of chocolate = 9
Number of oatmeal = 12
The probability that chocolate is randomly selected is;
Probability of choosing a chocolate = Number of chocolate / Number of total cookies
Probability of chosen a chocolate = 9 / 30
Probability of chosen a chocolate = 3 / 10
Probability of chosen a chocolate = 0.30
Hence, the probability of choosing chocolate is 0.30.
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Given a grid with 15 sections, determine how many sections in the grid need to be shaded so the probability of a point chosen at random in the shaded area is exactly 0. 8. Explain your reasoning.
12 shade out of 15 boxes which gives 0.8 chance of picking a shaded one.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
There are 15 sections given
To make the probability of choosing a shaded section randomly 0.8,
So,
0.8 of 15
0.8 is equal to 80%
we need to figure out 80% of the 15
80% of 15
80% × 15
= 12
Hence, we would need to shade 12 out of 15 boxes which gives 0.8 chance of picking a shaded one.
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no one is answering i posted this question 2 times, this is my 3rd time please answer.
Answer:
13
Step-by-step explanation:
First, fill in 3 boxes of the table using the given information (blue numbers on the attached table)
"Of the 32 students that have a cell phone, 19 students do not have a tablet."
The top row of the table is students who have a cell phone. Therefore, place 19 in the box in this row that is in the "no tablet" column.
"Of the 70 students that have a tablet, 57 students do not have a cell phone."
The first column of the table is students who have a tablet. Therefore, place 57 in the box in the 2nd row of this column.
"11 students do not have a cell phone or a tablet."
Find the "no cell phone" row and the "no tablet" column and place 11 in the box that coincides.
We can calculate the blank totals using addition (shown by green numbers on the attached table)
Total students with no cell phone = 57 + 11 = 68Total students with no tablet = 19 + 11 = 30To calculate the number of students who have a cell phone AND a tablet:
⇒ Total students with a cell phone minus students with a cell phone but no tablet
⇒ 32 - 19 = 13
Class A has 28 pupils and class B has 8 pupils.
Both classes sit the same maths test.
The mean score for class A is 34.
The mean score for class B is 78.
What is the mean score (rounded to 2 DP) in the maths test across both classes?
Answer:
43.78
Step-by-step explanation:
In this case, the formula for mean can be as followed:
[tex]mean = \frac{sum \: of \: all \: student \: scores}{number \: of \: students} [/tex]
Let the sum of all student scores for class A and class B be A and B respectfully,
For Class A,
A/28 = 34
A/28 = 34A = 952
For Class B,
B/8 = 78
B/8 = 78B = 624
Now to find the mean score of both classes using the same formula,
Mean = (952+624)/(28+8)
= 43.77777777777778
≈ 43.78
Whats the equation of a circle with the center point of 1, -1 and a radius of. 5
Step-by-step explanation:
For this problem, we need to use the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2.
This gives us that the equation of the circle is (x-1)^2 + (y-1)^2 = 25.
explain how you know whether or not the point (0.75, 0.25) is on the unit circle.
Answer:
The point (0.75, 0.25) is not on the unit circle.
Step-by-step explanation:
The unit circle has radius 1, so:
[tex] {.75}^{2} + {.25}^{2} = .5625 + .0625 = .625 [/tex]
Carmen received a gift of $5,000 from her grandmother and decided to invest it. the expression 5000(1.0005)^12t represents the amount of the money carmen is earning on her investment. carmen wants to write an equivalent expression so that she can better understand how her money is being invested. choose an equivalent expression in each drop down.
The equivalent expression for the expression that represents the amount Carmen would earn is 5000(1.0005^12)^t.
What is the equivalent expression?Based on the expression given, Carmen's investment is compounded monthly.
The formula for calculating future value:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years5000(1.0005)^12t
= 5000(1.0005^12)^t
50002.5^12t
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Put the equation below into vertex form.
y=(x+9)(x+25)
Find the diameter. dddddddddddddddddddddddddddddddddddddddd
Answer:
14
Step-by-step explanation:
To find the diameter you can just multiply the radius by 2:
7 x 2 = 14
Hope this helps :)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's we go ~
We know that diameter of a circle is two times it's radius, that's a basic relation among diameter and radius, so let's use this to find the value of diameter :
[tex]\qquad \sf \dashrightarrow \:d = 2r[/tex]
[tex]\qquad \sf \dashrightarrow \:d = 2 \times 7[/tex]
[tex]\qquad \sf \dashrightarrow \:d = 14 \: cm[/tex]
・ .━━━━━━━†━━━━━━━━━.・
Mr. Jacobsen is an electrical engineer. He earns 150,000 (GROSS) a year. He pays 20% income tax. How much income tax does he pay?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 15000}}{\left( \cfrac{20}{100} \right)15000}\implies 30000[/tex]
A 10 inch candle burns at a rate of 1.2 inches an hour. How many hours mess the candle burn until it is less than 1 inch tall
Bonjour !
Please solve My maths problem.
If X = 2y +6, then find the value of x³ - 8y³ - 36xy -216.
Hint - answer is 0
Kindly Show steps
I desperately need help with this question.
Correct person will be appreciated and brainlist will be awarded
Irellevant answer won't be tolerated and will be reported immediately.
Thank you in. advance !
y = 1
Step-by-step explanation:
X = 2y + 6
X³ - 8y³ - 36xy - 216 = 0
(subsitute)
(2y + 6)³ - 8y³ - 36(2y + 6)y -216 = 0
(concentrate on first part)
(2y + 6)(2y + 6)(2y + 6)
(4y² + 12y + 12y + 36)(2y + 6)
(4y² + 24y + 36)(2y + 6)
8y³ + 24y² + 48y² + 144y + 72y + 216
(back to full equation)
8y³ + 72y² + 216y + 216 - 8y³ - 36(2y + 6)y - 216 = 0
(factor the last part)
-36(2y + 6)y
y(-72y - 216)
-72y² - 216y
(back to main equation)
8y³ + 72y² + 216y + 216 - 8y³ - 72y² - 216y - 216 = 0
(start to cancel out)
8y³ and -8y³ cancel
72y² + 216y + 216 - 72y² - 216y - 216 = 0
72y² and -72y² cancel
216y + 216 - 216y - 216 = 0
216y and -216y cancel
216 - 216 = 0
those cancel
0y = 0
add 1 to both sides
y = 1.
(I hope this helped)
maths grade 8 solution
Answer:
hope it helps
also try to find out what 5power 10 is because I have no calculator with me
State the domain and range and determine if it's a function?
Help!!!
Andrew has $550 in a savings account that earns 5% annually how much will she earn in interest in 4 years
Answer:
110
Step-by-step explanation:
formula= P×T×R ÷ 100
550×4×5÷100
55×4×5÷10
1100÷10
$110
A triangle has two sides of length 19 and 18. What is the largest possible whole-number length for the third side?
Answer:
36
Step-by-step explanation:
For the largest possible whole number length, this means it would have to be the longest side. Let's let this third side have a length of x.
By the triangle inequality theorem, 19+18>x, which means x<37.
So, the largest possible whole number length for the third side is 36.
what is an easy method to workout 35% of 70
Step-by-step explanation:
[tex]70 \times \frac{35}{100} = 24 .5 [/tex]
Answer:
24.5
Step-by-step explanation:
35% can be broken down into 10% + 10% + 10% + 5%
To find 10% of 70, divide 70 by 10.
To divide a number by 10, move the decimal point 1 place to the left.
⇒ 70 ÷ 10 = 7
So 10% = 7
5% is half of 10%
⇒ 5% = 7 ÷ 2 = 3.5
Therefore,
10% + 10% + 10% + 5% = 7 + 7 + 7 + 3.5
= 21 + 3.5
= 24.5
Compare the graphs that jennifer and matt drew by completing the statements. jennifer’s graph is vertically shifted from matt’s graph. jennifer’s graph is horizontally shifted from matt’s graph. jennifer’s graph is matt’s graph. which graph has a vertex that is a maximum?
Jennifer’s graph is vertically shifted from Matt’s graph by 2 units. and none of the graphs has their vertex at maximum.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function of the graph that is drawn by Jennifer is f(x)=2x²+4x, while the function that is drawn by Matt is g(x)=2(x+1)².
If we compare the function of the two graphs,
[tex]g(x)=2(x+1)^2\\g(x)=2(x^2+1+2x)\\g(x) = 2x^2+2+4x\\\\f(x)=2x^2+4\\[/tex]
As we can see that the only difference between the two of the function is +2, therefore, the only difference between Jennifer's graph and Matt's graph is that the graph of Jennifer’s graph is vertically shifted from Matt’s graph. As shown in the below image.
Thus, Jennifer’s graph is vertically shifted from Matt’s graph by 2 units.
If we draw two of the graph on the graph we will notice that the two of the functions will have their maximum at their vertex, as both graphs are opening upwards.
Hence, Jennifer’s graph is vertically shifted from Matt’s graph by 2 units. and none of the graphs has their vertex at maximum.
Learn more about Function:
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Answer:
1. 2 units down
2. 0 units left or right
3. the same shape as
4. Neither Jennifer's nor Matt's
correct on edge 2023 have a good day :)
6x + 4 - 8x + 9(4 - x)
-
Answer:
6x - 8x + 4 + 36 - 9x
= 40 - 11x
If the price of a 8 minute phone call is $1.20 the what is the price of a 17 minute phone call
Answer:
The answer should be $2.55 for a 17 minute call
Factor the expression 20x + 12y - 28
Answer:
[tex]\boxed{\sf{4(5x+3y-7)}}[/tex]
Step-by-step explanation:
It is necessary to find the factors and solve them using their expressions in order to solve this problem.
20x+12y-287*4=28
3*4=12
5*4=20
Rewrite the problem down.
5*4x+3*4y+7*4
Solve.
Common term of 4.
4(5x+3y-7)
Therefore, the final answer is 4(5x+3y-7).I hope this helps you! Let me know if my answer is wrong or not.
[tex]========================================[/tex]
In order to factor this expression, we should factor out the common term (divide all terms in the polynomial by the common term)
In this case, the common term is
4
Note:- Usually, we factor out the G.C.F. (Greatest Common Factor)
So here, the G.C.F. is 4.
Why 4? Because in this trinomial (a polynomial with 3 terms) all 3 terms are divisible by 4.
So divide all the terms
5x
3y
-7
Put 4 outside the parentheses:
4(5x+3y-7)
Is the trinomial in its simplest form? Sure!
Hence, we are done! :)
[tex]================================[/tex]
note:-Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer. :)
help..
Priya bought these items at the grocery store. Find each unit price.
12 eggs for $3. How much is the cost per egg?
3 pounds of peanuts for $7.50. How much is the cost per pound?
4 rolls of toilet paper for $2. How much is the cost per roll?
10 apples for $3.50. How much is the cost per apple?
Answer:
egg: 4 eggs per dollar
peanuts: 0.4 pounds per dollar
t p: 2 rolls for a dollar
apples: 3 apples per dollar
London deposits $320 every month into an account earning a monthly
interest rate of 0.45%. How much would she have in the account after
11 years, to the nearest dollar? Use the following formula to determine
your answer.
-
A=d
a(" --
(1 + i)" – 1
i
A the future value of the account after n periods
d the amount invested at the end of each period
i the interest rate per period
n = the number of periods
Based on the amount that London deposited every month and the number of years involved, London would have $57,515.16.
How much would London have in 11 years?The amount that London deposits every month is an annuity because it is a fixed amount.
The value in 11 years is therefore the future value of an annuity which can be found as:
= Amount x ( (1 + rate) ^ number of periods - 1) / rate
The number of periods is:
= 11 years x 12 months
= 132 months
Future value is:
= 320 x ( ( 1 + 0.45%)¹³² - 1) / 0.45%
= $57,515.16
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please Help me, please :)
Answer:
i believe the answer to this is (C)
Step-by-step explanation:
solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)
Answer:
[tex]\boxed{\sf{y=-50 \quad x=3}}[/tex]
Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
y=-15x-5 and 11x+y=-17First, you have to substitute.
[tex]\sf{y=-15x-5=11x-15x-5=-17}[/tex]
Then, you solve.
[tex]\sf{-4x-5=-17}[/tex]
Add by 5 from both sides.
-4x-5+5=-17+5
Solve.
-17+5=-12
-4x=-12
Divide by -4 from both sides.
-4x/-4=-12/-4
Solve.
-12/-4=3
x=3
y=-15*3-5
Solve.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract15*3=45
Rewrite the problem down.
y=-45-5
Solve.
y=-50
Therefore, the correct answer is y=-50 and x=3.
I hope this helps you! Let me know if my answer is wrong or not.
A video posted on the internet is becoming very popular, and the total number of views is increasing by 20% every hour. If the video currently has 71,000 views, how many views will it have in 9 hours?
Answer:198000 maybe
Sorry if it’s wrong
A card is drawn from the cards numbered from 8 to 27, find the probability that drawn card is divisible by 6 or 7 without remainder.
Answer:
1/4
Step-by-step explanation:
from 8 to 27, there are 5 number that are divisible by 6 or 7.
=> 12,14,18,21,24
=> number of favourable outcomes = 5
=> numer of possible outcomes = 20
probability = no. of favourable outcomes/ no. of possible outcomes
=> probability = 5/20
=> 5/20 = 1/4