Answers
Answer:
B.
Step-by-step explanation:
Using SOHCAHTOA,
sin 24 = 4/10
cos 24 = x/10
tan 24 = 4/x
Answer: B.
Option B. is correct. Using cosine formula the equation cos 24° = [tex]\frac{x}{10}[/tex] is used to find value of 'x'.
What is cosine?The ratio of the "adjacent side of a right angle triangle to the hypotenuse" is called cosine and given by the symbol 'cos'.
According to the question,
Angle of Right angle triangle is 24°
Adjacent = x
Opposite = 4
Hypotenuse = 10
In order to value of 'x' only if using cosine formula.
Formula for cosine = [tex]\frac{adjacent}{hypotenuse}[/tex]
= [tex]\frac{x}{10}[/tex]
Hence, the equation cos 24° = [tex]\frac{x}{10}[/tex] is used to find value of 'x'.
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Related Questions
What is 16x + 4y = 12 in slope intercept form
Answers
Answer:
y = -4x + 3
Step-by-step explanation:
You just have to solve for y.
So you get only the y value on one side, so the equation would then be
4y = -16x + 12, then you have to solve for y, so you divide both sides of the equation by 4 and you are left with y = -4x + 3
A tree grows exactly one half meter in height per year. The tree is currently 8 meters tall. If someone hammers a nail into the tree at a height of exactly 2 meters, how high will the nail be after 12 years of growth
Answers
Answer:
2 meters
Step-by-step explanation:
Given
[tex]a= 8m[/tex] --- initial
[tex]r = \frac{1}{2}m/year[/tex] --- rate
[tex]t = 12\ yrs[/tex]
[tex]Nail = 2m[/tex]
Required
The height of the nail after 12 years
The top of the tree will continue growing at the given rate, however, the height of the nail will remain unchanged.
This is so because when trees grow, they grow from the top; i.e. the heights are increased at the top while the bottom remains unchanged.
Hence, the height of the nail after 12 years in 2m
You start at (2, -1). You move down 3 units and left 3 units. Where do you end?
Answers
Answer:
(-1,-4)
Step-by-step explanation:
(2, -1)
Moving down 3 means subtract 3 from the y value
Left 3 means subtract 3 from the x value
(2-3, -1-3)
(-1,-4)
at what rate percent of interest per annum will #700 gain an interest of #84 in 3 years
Answers
Answer:
4% per annum
Step-by-step explanation:
Recall :
Simple interest = principal * rate * time
Given that :
Time = 3 ; simple interest = 84 ; principal = 700
84 = 700 * rate * 3
84 = 2100 * rate
Rate = 84 /2100
= 0.04
= 0.04 * 100% = 4% per annum
Pleaseee answer thisss!!
Answers
76+2x=180
180-76=2x
104=2x
X=52
Answer:
x=52
Step-by-step explanation:
360=76+90+90+2x
2x=360-256
x=104/2
x=52
Please Help uwu
Let f(x) = 4 - x^2 and g(x) = 2 - x. Find(f - g)(x)
Answers
Answer:
-x^2 +x +2
Step-by-step explanation:
f(x) = 4 - x^2 and g(x) = 2 - x
(f - g)(x) = 4 -x^2 - (2-x)
= 4 -x^2 - 2+x
= -x^2 +x +2
may you help me with this question?
Answers
Step-by-step explanation:
OK so add the 66 and the square=90, so add 66 and 90 then subtract it from 180 and then you will get x
Step-by-step explanation:
On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States.Examples of magnetic force is a compass, a motor, the magnets that hold stuff on the refrigerator, train tracks, and new roller coasters. All moving charges give rise to a magnetic field and the charges that move through its regions, experience a force.
A 2-pound bag of broccoli costs $4.48. What is the price per ounce?
Answers
Answer= $0.14 cents
thirty 5 points for this answer. no links.
4(a-2) = 2(a-4) + 2a
Answers
Answer:
a = 0
Step-by-step explanation:
4(a-2) = 2(a-4) + 2a
4a - 8 = 2a - 8 + 2a
4a - 2a - 2a = -8 + 8
0 = 0
This has infinitely many solutions.
Step-by-step explanation:
Any number you put for a would work to make them equal. Feel free to try it.
PLEASE HELP! I WILL GIVE BRAINLIEST!?!
Answers
X=pie/4 +pie n, pie/3 +2 pie n, 5pie/3 +2 pie n
This is the full set of solutions. Let me know if this isn’t what you wanted or need an explanation.
easy question for alot points
Answers
multiply 3.28 by 2
=6.56ft
Answer:
B) 2meter line segment
Step-by-step explanation:
3.28ft=1m
Then an easy way to find the answer is to multiply 3.28 by 2
to if the 6.3ft line is under or over 2m
3.28 multiplied by 2 equals 6.56
6.56>6.3
therefore, the 6.3ft. line segment is just a little shorter than 2m
In a class of 6 there are 4 students who are secretly robots
Answers
Answer:
then 2 are human
Step-by-step explanation:
because 4 are robots
Answer:
The rest are normal students.
6-4= 2 so that's how many normal students there are.
Please add a little bit more detail to the question please :)
A teacher asks her students to write down the number of hours studied, rounded to the nearest half hour. She compiles the results and develops the probability distribution below for a randomly selected student. What is the mean of the probability distribution?
Probability Distribution
Hours Studied: X
Probability: P(X)
0.5
0.07
1
0.2
1.5
0.46
2
0.2
2.5
0.07
Answers
Answer:1.50
Step-by-step explanation:None
Answer: the answer is d
Step-by-step explanation:
The figure shows a plane slicing through a cone. The plane is neither parallel nor perpendicular to the base of the cone, and the plane does not intersect the base of the cone.
Answers
==================================================
Explanation:
Imagine that this plane was a saw blade, or a laser, that cut the cone. We would have two pieces and each piece would have a shape of an ellipse on them. The cutting plane would also have the same ellipse shape.
Or you think of the cutting plane as a flat piece of cloth. If we cut everything around the cone, then we would have an ellipse shaped hole as a result.
The reason why we get an ellipse and not a circle is because the plane is angled like that. It needs to be perfectly parallel to the circular base in order to get a circular cross section.
A baker makes 12 dozen
cookies, 18 dozen muffins, and
22 dozen scones every day.
How many baked goods does
she make in all every day?
Answers
Answer:
624
Step-by-step explanation:
12+18+22=52 52×12=624
Answer:
624
Step-by-step explanation:
12x12= 144 cookies
18x12= 216 muffins
22x12= 264 scones
144+216+264= 624
solve for y
1/4y + 3/6 = 2/3
Answers
Answer:
y = 2 /3
Step-by-step explanation:
What is the y-intercept of the line given by the equation y=5x+16 ?
Answers
Answer:
16
Step-by-step explanation:
Slope intercept form is
y = mx + b
m is the slope
b is the y-intercept
-----------------------
y = 5x + 16
is in slope intercept form
b, the y-intercept is 16
which is point (0, 16)
In 2016, there were approximately 4.46 x 10 people in Asia. On average, a person takes 8.4 x 10 breaths per
year. Using this data, what was the number of breaths of all the people in Asia in 2016? Expressing your answer in
scientific notation in the form a x 10", what are the values of a and b?
What is the value of a?
What is the value of b?
Answers
Answer: 4
Step-by-step explanation:
I got this same question buddy im here to see the answer but there were not any
PLEASE HELP
Makayla owns a small business selling used books. She knows that in the last week 58 customers paid cash, 25 customers used a debit card, and 2 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.
Answers
Answer:
2/5 :)
Step-by-step explanation:
58+2=60+25=85-25=60 60 = 2/5
The solution is 5/17
The probability that the next customer will pay with a debit card is given by the equation A = 5/17
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability that the next customer will pay with a debit card be A
Now , the equation will be
The number of customers who paid cash last week = 58 customers
The number of customers who used debit card last week = 25 customers
The number of customers who used credit card last week = 2 customer
So ,
The total number of customers = 58 + 25 + 2
The total number of customers = 85 customers
Now , the probability that the next customer will pay with a debit card A = number of customers who used debit card last week / total number of customers
Substituting the values in the equation , we get
Probability that the next customer will pay with a debit card A = 25 / 85
On simplifying the equation , we get
Probability that the next customer will pay with a debit card A = 5 / 17
Therefore , the value of A is 5/17
Hence , the probability is 5/17
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prove that (Cos A +cosB)^2+(SinA+sinB)^2=4cos^2(A-B/2)
Answers
Answer:
[tex](cosA + cos B)^2 + (sin A +sinB)^2 \\\\= cos^2A + cos^2B + 2cosA cosB + sin^2A +Sin^2B +2sinAsinB\\\\=(cos^2A + sin^2 A) + (cos^2B +sin^2B) +2cosAcosB + 2sinAsinB\\\\= 1 + 1 + 2cosAcosB + 2sinAsinB\\\\=2 + cos(A+B)+cos(A-B) + cos(A-B) -cos(A+B)\\\\=2 + 2cos(A-B)\\\\=2(1 + cos(A-B))\\\\=2\times 2 cos^2(\frac{A-B}{2})\\\\=4cos^2(\frac{A-B}{2})[/tex]
Hence proved .
SOMEONE PLEASE HELP!!
Answers
Answer:
It's the first one I think
Step-by-step explanation:
Compound inequalities :A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements .
THE CORRECT ANSWER IS THE LAST ONE ..
A square originally starts with an area of 64 cm2.
If each side of the square is increased by 2 cm, what is the area of the new square?
Answers
Answer:
100 cm2
Step-by-step explanation:
If the area is 64 cm2 that means that the side is 8 cm (square root of 64 is 8)
8 increased by 2 = 10
area 10x10 = 100 cm2
Answer:
the answer is 100cm²
since originally is 64 cm²
so square root of 64 is 8 cm.
after you get 8cm you get,
8+2 = 10cm (a side of square)
and then to find a new area you get,
10 × 10 = 100 cm²
What is the value of m in the equation 4m + 2(m + 1) = 9m + 5?
1. −1
2. 1
3. 7
4. 17
Answers
Answer:
hhhhhhhhhhooooooooooooooooooooo
Step-by-step explanation:
4m+2m+2=9m+5
6m+2=9m+5
6m-9m=5-2
-3m =3
m=3/(-3)
m=-1
Find the solution of the differential equation f' (t) = t^4+91-3/t
having the boundary condition f(1) =1/4
Answers
Answer:
[tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| - \frac{1819}{20}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Antiderivatives - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle f'(t) = t^4 + 91 - \frac{3}{t}[/tex]
[tex]\displaystyle f(1) = \frac{1}{4}[/tex]
Step 2: Integration
Integrate the derivative to find function.
[Derivative] Integrate: [tex]\displaystyle \int {f'(t)} \, dt = \int {t^4 + 91 - \frac{3}{t}} \, dt[/tex]Simplify: [tex]\displaystyle f(t) = \int {t^4 + 91 - \frac{3}{t}} \, dt[/tex]Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle f(t) = \int {t^4} \, dt + \int {91} \, dt - \int {\frac{3}{t}} \, dt[/tex][1st Integral] Integrate [Integral Rule - Reverse Power Rule]: [tex]\displaystyle f(t) = \frac{t^5}{5} + \int {91} \, dt - \int {\frac{3}{t}} \, dt[/tex][2nd Integral] Integrate [Integral Rule - Reverse Power Rule]: [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - \int {\frac{3}{t}} \, dt[/tex][3rd Integral] Rewrite [Integral Property - Multiplied Constant]: [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3\int {\frac{1}{t}} \, dt[/tex][3rd Integral] Integrate: [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| + C[/tex]Our general solution is [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| + C[/tex].
Step 3: Find Particular Solution
Find Integration Constant C for function using given condition.
Substitute in condition [Function]: [tex]\displaystyle f(1) = \frac{1^5}{5} + 91(1) - 3ln|1| + C[/tex]Substitute in function value: [tex]\displaystyle \frac{1}{4} = \frac{1^5}{5} + 91(1) - 3ln|1| + C[/tex]Evaluate exponents: [tex]\displaystyle \frac{1}{4} = \frac{1}{5} + 91(1) - 3ln|1| + C[/tex]Evaluate natural log: [tex]\displaystyle \frac{1}{4} = \frac{1}{5} + 91(1) - 3(0) + C[/tex]Multiply: [tex]\displaystyle \frac{1}{4} = \frac{1}{5} + 91 - 0 + C[/tex]Add: [tex]\displaystyle \frac{1}{4} = \frac{456}{5} - 0 + C[/tex]Simplify: [tex]\displaystyle \frac{1}{4} = \frac{456}{5} + C[/tex][Subtraction Property of Equality] Isolate C: [tex]\displaystyle -\frac{1819}{20} = C[/tex]Rewrite: [tex]\displaystyle C = -\frac{1819}{20}[/tex]Substitute in C [Function]: [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| - \frac{1819}{20}[/tex]∴ Our particular solution to the differential equation is [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| - \frac{1819}{20}[/tex].
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
hhhhhhhhelpp meeeeeee
Answers
Answer:
with what?
Step-by-step explanation:
The table shows the balance of a money market account over time. Write a function that represents the balance y (in dollars) after t years.
Answers
9514 1404 393
Answer:
y = 2200(1.08^t)
Step-by-step explanation:
The interest earned the first year is ...
(2376 -2200)/2200 = 0.08 = 8%
The balances the remaining years are consistent with that interest being compounded annually. An appropriate function is ...
y = 2200(1.08^t)
_____
The compound interest formula is ...
A = P(1 +r/n)^(nt) . . . . principal P earning rate r compounded n times per year for t years
27
Sara is considering purchasing a certain stock. After doing her research, she determins that there is a 68%
chance of making $3,500 and a 32% of losing $1,800. Find the expected value of this purchase.
1
$2,158
$2,956
$1,804
$3,071
Answers
Х
What is the solution to the equation 3+ 6 + 2?
3
X = 2
7
X = 3
x= 3
x = 7
Please help
Answers
Answer:
hope this help you a lot
good luck
The living room in a new house has the dimensions shown. What is the volume of the room?
Answers
Answer:
v = 220 yd²
Step-by-step explanation:
Small portion
v = 5 * 4 * 3
v = 60 yd²
Large portion
v = 9 * 6 * 3
v = 162 yd²
Total
v = 60 + 162
v = 220 yd²
Compare the two leagues and predict which league would be more likely to win a game. 2 tables. Table 1 is a 2-column table with 5 rows. Column 1 is labeled H R with entries 34, 45, 62, 92, 111. Column 2 is labeled W with entries 50, 65, 72, 83, 105. Table 2 is a 2-column table with 5 rows. Column 1 is labeled H R with entries 72, 80, 88, 97, 109. Column 2 is labeled W with entries 79, 84, 87, 89, 102.
Answers
Answer:
79
Step-by-step explanation:
Answer:
edge 2021
Step-by-step explanation:
The team from the second league would be more likey to win becasue teams in taht league have more consistent, and mostly greater, numbers of home runs and winning games. Data for teams in the second league also do not show any outliers.