The value of A is 35.
How to solve trigonometry?The given expression is as follows:
sin A = cos (A + 20)
using trigonometric rule,
sin A = cos(90 - A)
Therefore,
cos (A + 20) = cos(90 - A)
divide both sides by cos
Hence,
A + 20 = 90 - A
A + A = 90 - 20
2A = 70
divide both sides by 2
A = 70 / 2
A = 35
Therefore, the value of A is 35.
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which expression is equivalent to -40+(-20)+(-60)?
(A. 40+20+60
(B. -40-(20-60)
(C. -20+(-40)+(-60)
(D. -(40-20)+(-60)
Answer:
c
Step-by-step explanation:
Jane got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 14 cents per yard. If after that purchase there was $27.62 left on the card, how many yards of ribbon did Jane buy?
Answer: 17 yards
Step-by-step explanation:
well first you do $30 - $27.62 and you get $2.38 then you take the decimal out then divide it like this 238/14 you get 17 and that is how many yards you have !!! Hope that helps!!
Select all of the terms that are "like."
x 2
2x 2 y
-xy
xy
xy 2
2xy
Answer:
x2,2x2y,xy2,-xy,xy,2xy
estimate the number of gallons of gasoline consumed by the total of all automobile drivers in the u.s., per year. suppose that there are about 3 × 108 people in the united states, approximately half of the them have cars, each car drives an average of 12,000 mi per year, and consumes a gallon of gasoline for each 20 mi .
The total amount of gallons of gasoline expended by all the automobile drivers in the United States is 9 × (10)10 gallons. It is obtained using the basic concepts of word problems based on multiplication and division.
What are word problems?
Word problems are defined as mathematical problems that are completely expressed in the notation of words or language rather than numbers. Word problems can simply be based on addition, subtraction, multiplication, division, percentage, etc.
Calculation of the total amount of gasoline consumed in the US in units of gallon
According to the word problem, the total number of people in the US is 3 × (10)8
Number of people having cars = ½ × 3 × (10)8
= 1.5 × (10)8
Each car drives an average of 12000 miles per hour, so the total distance travelled by one car is 12000 miles
The distance covered by all the cars = 1.5 × (10)8 × 12000
= 1.8 × (10)12 miles
20 miles is covered in 1 gallon of gasoline
1 mile is covered in 1/20 gallon of gasoline
So, 1.8 × (10)12 miles will be covered in 1.8 × (10)12 × (1/20)
= 9 × (10)10 gallons
Hence, the gallons of gasoline required is 9 × (10)10 gallons.
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If f(a) = 3a – a2, which of the following are not true statements? Select all that apply. f(-5) = -40 f(4) = -4 f(-1) = 2 f(0) = 3 f(3) = 0
The true statements are f(-5) = -40, f(0) = 3 and f(3) = 0
How to determine the valueGiven the function;
f(a) = 3a – a2
For f(-5), we substitute the value of a as -5, we have
f(-5) = 3(-5) - (-5)²
f(-5) = -15 - 25
f(-5) = -40
For f(4), we have
f(4) = 3(4) = 3(16)
f(4) = 12 - 48
f(4) = -36
For f(-1), we have
f(-1) = 3(-1) - (-1)²
f(-1) = -3 - 1
f(-1) = -4
For f(0), we have
f(0) = 3(0) -(0)
f(0) = 0
For f(3), we have
f(3) = 3(3) - 3²
f(3) = 0
Thus, the true statements are f(-5) = -40, f(0) = 3 and f(3) = 0
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following the finite difference process we used in lecture, use a second order difference scheme to approximate x′′(t) and rewrite this initial value problem as a linear system of equations ax
Use a second order difference scheme while adhering to the finite difference procedure we discussed in lecture, the rewritten initial value is cos(t)+C.
What is a difference equation?The k initial differences of a sequence or a function are involved in a difference equation of order k, just as the k first derivatives of a function are related in a differential equation of order k.
The two aforementioned relationships enable the transformation of a recurrence relation of order k into a difference equation of order k and, in the other direction, a difference equation of order k into a recurrence relation of order k. Every transformation is the inverse of every other transformation, and the sequences that satisfy the recurrence relation are the exact ones that provide the solution to the difference equation.
Calculations:
syms y(t) z(t)
eqns = [diff(y,t)==z, diff(z,t)==-y];
[ySol(t),zSol(t)] = dsolve(eqns)
ySol(t) = C
cos(t)+C
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What is 943,158,670.3491 rounded to the ten millions? PLEASE ANSWER ASAP!!
Answer:
I believe the answer is 943,158,670.349
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
The distance, d, traveled by a particle is directly proportional to the square of the time, t, taken. when t = 40, d = 30. find a formula for d in terms of t.
If the distance,d, traveled by a particle is directly proportional to the square of the time,t, taken, when t = 40, d = 30, then the formula for d in terms of t will be d = 0.01875(t²).
Proportionality can be described as the property of being in a proper correlation in terms of size or quantity. In this problem, the distance is directly proportional to the square of the time which means that the distance increases as the square of the time is increased and vice versa.
Therefore,
d ∝ t²
d = kt² ( when t = 40 and d = 30 )
Here k is the constant
The value of k can be found by rearranging the equation,
d = kt²
30 = k(40²)
30 = k(1600)
k = 30 / 1600
k = 0.01875
As k = 0.01875, the formula for d in terms of t can be given as,
d = kt²
d = 0.01875(t²)
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Whoever can answer for me i’ll give brainliest
Answer:
It's 25
Step-by-step explanation:
It's asking for distance between the two numbers
Answer:25
Step-by-step explanation:
Solve the given differential equation by separation of variables dn/dt n = nte^t 8
The answer of the given question will be - [tex]ln |n| + c = e^{8+t} t - e^{8+t} - t + c[/tex]
What is integration?In mathematics, integration is a technique for combining or adding the parts to arrive at the total. It is a form of differentiation in reverse where we break down functions into their component elements. This technique is employed to determine the summation on a sizable scale.
We are given the equation as -
[tex]\int\limits^_ {}[/tex]dn/dt + n = [tex]\int\limits^_ {}[/tex][tex]nte^{t+8}[/tex]
⇒ dn/dt = [tex]nte^{t+8} - n[/tex]
[tex]dn/dt = n(te^{t+8} - 1)\\dn/n = (te^{t+8} - 1)dt[/tex]
Integrating on both sides,
⇒ ln |n| + c =[tex]\int\limits^[/tex][tex]nte^{t+8} - n[/tex]
⇒ ln |n| + c = [tex]e^{8+t} t - e^{8+t} - t + c[/tex]
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Find the (a) mean, (b) median, (c) mode.
Listed below are the highest amounts of net worth (in millions
of dollars) of all celebrities. What do the results tell us about
the population of all celebrities? Based on the nature of the
amounts, what can be inferred about their precision?
240 190 175 155 150 150 130 130 130 130
The mean is $ type your answer...
million. The median is $
type your answer...
million and the mode is $
type your answer...
million.
Answer: Mean = 158 - Median = 158 - Mode = 130
Answer: (a) mean is $158 (b) median is $150 (c) mode is $130
Step-by-step explanation:
Arrange the series:
130 130 130 130 150 150 155 175 190 240
[tex]\displaystyle\\Mean=\frac{130*4+150+2+155+175+190+240}{10} \\\\Mean=\frac{1580}{10} \\\\Mean=158\\\\Median=\frac{150+150}{2} \\\\Median=\frac{300}{2} \\\\Median=150\\\\Mode=130[/tex]
1 Latisha and Maisha are twins. They have a brother who is eleven years younger than
them and an older sister who is four years older. The sum of the ages of all four siblings
is 73. Find Latisha's age.
Sum = 73
Answer: 20 years old
Step-by-step explanation:
L=Latisha's age. M=Maisha's age.
O=older sister's age. Y=Younger Brother's age
L=M since both Latisha and Maisha are twins.
Y=L-11
O=L+4
L+M+O+Y=73
L+L+L+4+L-11=73
L+L+L+L+4-11=73
4L-7=73
4L=80
L=20 years old
FIRST ANSWER GETS BRAINLIEST
Answer:
The answer is 22 2/3
Step-by-step explanation:
Joshua purchased a game card for the arcade for a total of $18. he played two basketball hoop games for $3.25 each and four rounds of air hockey for $1.75 each. how much did he have left on the game card?
Joshua has $4.5 left in the game card.
How to calculate the amount left in the game card ?Joshua purchased a game card for $18
He played two basketball games for $3.25 each
= 2 × 3.25
= 6.5
He played four rounds of air hockey for $1.75
= 1.75 × 4
= 7
The first step is to calculate the total money spent on games
= 7 + 6.5
= 13.5
The amount left in the game card can be calculated as follows
= 18 - 13.5
= 4.5
Hence $4.5 is left in the game card.
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A group of friends were working on a student film that had a budget of $700. They used $532 of their budget on props. What percentage of their total budget did they spend on props?
Answer:
76%
Step-by-step explanation:
(number ÷ total number) x 100 = %
(532 ÷ 700) × 100 = 76%
1.) 532 ÷ 700 = 0.76
2.) 0.76 × 100 = 76
7(3 + x) - 4(x + 1)
distributive property
Answer: 17+3x
Step-by-step explanation:
7(3 + x) - 4(x + 1)=
21+7*x-4x+(-4*1)= ==> Distribution Property
21+7x-4x+(-4)=
21+3x-4=
21-4+3x=17+3x
Pls HELP ME
Solve each of the following equations for the given values. Show ALL solution steps.
1. A = bh for h, if b = 4 and A = 28
2. A = πr2 for A, if r = 5.
3. A = bh for h if b = 15 and A = 45. h=?
4. A = bh for h if b = 10 and A = 80. h=?
5.P = 2l + 2w for l if w = 4 and P = 18. l=?
Answer:
1.h=7; 2. A=78.5; 3. h=3; 4. h=8; 5. I=5.
Step-by-step explanation:
1. A = bh for h, if b = 4 and A = 28
So 28=4h then we divided both side by 4 to get the value of h , h=7.
2. A = πr2 for A, if r = 5.
So A=3.14×25=78.5.
3. A = bh for h if b = 15 and A = 45. h=?
So 45=15h then we divided both side by 15 to get the value of h , h=3.
4. A = bh for h if b = 10 and A = 80. h=?
So 80=10h then we divided both side by 10 to get the value of h , h=8.
5.P = 2l + 2w for l if w = 4 and P = 18. l=?
So 18=2I + 2(4) =18-8=2I 10=2l then to get the value of I divided both side by 2, I=5.
The cost per ounce of a drink, c, in cents, varies inversely as the number of ounces, n. Six ounces of the drink costs 60 cents
per ounce. Find the equation that represents this relationship.
Note: Enter your answer in cents
C=
Answer:9
Step-by-step explanation:
Answer: c= 360/n
Step-by-step explanation:
c=k/n, for c=60 and n=6 so equation would be 360/n
Show work need with this question
Given in the picture that [tex]D=b^{2} -4ac[/tex]. and the value of Quadratic equation is [tex]b=\sqrt{65}[/tex].
(a) Express b in terms of a, c and D.
[tex]b=\sqrt{D-4ac}[/tex]
(b) Find the values of b when a=2, c=-2 and D=81.
[tex]b=\sqrt{65}[/tex]
By seeing the question we can say that the [tex]b^{2} -4ac[/tex] is in the quadratic formula.
We know the general Quadratic Equation is [tex]ax^{2}+bx+c=0[/tex].
The solution to find the root of the Quadratic Equation is Quadratic Formula: [tex]\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex].
The whole solution is depend on [tex]b^{2} -4ac[/tex]. The team is called discriminant.
(a) Given that,
[tex]D=b^{2} -4ac[/tex]
[tex]b^{2}=D +4ac\\[/tex]
Taking square root on both sides.
[tex]\sqrt{b^{2} } =\sqrt{D+4ac}\\ b=\sqrt{D+4ac}\\[/tex]
Therefore, [tex]b=\sqrt{D-4ac}[/tex]
(b) Given that,
a=2,c=-2 and D=81
[tex]b=\sqrt{D+4ac}\\[/tex]
[tex]b=\sqrt{81+4(2)(-2)}\\[/tex]
[tex]b=\sqrt{81-16}[/tex]
[tex]b=\sqrt{65}[/tex]
Therefore, [tex]b=\sqrt{65}[/tex]
A quadratic equation is a second-degree algebraic equation in x. In its usual form, the quadratic equation is a[tex]x^2[/tex] + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant factor. The first requirement for an equation to be a quadratic equation is that the coefficient of [tex]x^2[/tex] is not zero (a 0). When expressing a quadratic equation in standard form, the [tex]x^2[/tex]term comes first, then the x term, and finally the constant term.
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Please tell me what order these go in
The missing reasons in the prof are:
1. Given
2. Vertical angles are congruent
3. Substitution
4. Subtraction
5. Addition
6. Division
What is the Vertical Angles Theorem?According to the vertical angles theorem, if two angles are vertical angles, then they would be congruent to each other.
The following are the missing reasons in the given proof;
1. <PAR and <TAS are vertical angles [given]
2. <PAR ≅ <TAS [vertical angles are congruent]
3. 3x + 14 = 50 - x [substitution]
4. 3x = 36 - x [subtraction]
5. 4x = 36 [addition]
6. x = 9 [division]
Therefore, the missing reasons in the prof are:
1. Given
2. Vertical angles are congruent
3. Substitution
4. Subtraction
5. Addition
6. Division
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HELP PLS.
A line segment has an endpoint at (4, 5). If the
midpoint of the line segment is (-1,4), what is the
location of the line segment's other endpoint?
=========================================================
Explanation:
A = (4,5) is one endpoint
B = (-1, 4) is the midpoint
C = (x,y) is the other endpoint
For now, focus on the x coordinates of each point
A and C have x coordinates of 4 and x respectively
Add them up and divide in half. Set this equal to the x coordinate of B
(4+x)/2 = -1
4+x = 2*(-1)
4+x = -2
x = -2-4
x = -6 which is the x coordinate of point C
Repeat this same idea for the y coordinates
(5+y)/2 = 4
5+y = 2*4
5+y = 8
y = 8-5
y = 3 which is the y coordinate of point C
Therefore, point C is located at (-6, 3)
--------------------------
To verify the answer, you can use the distance formula to calculate the following segment lengths: AB and BC
You should find that AB = BC. This is because the midpoint splits segment AC into two smaller equal pieces.
Another way to verify the answer is to use the midpoint formula on points A(4,5) and C(-6,3). The result of using this formula should be B(-1,4) mentioned earlier.
2×8 im in elementary dont judges guys its not nice
Answer:
Step-by-step explanation:
8 + 8 = 16, so 8 x 2 = 16. :)
Answer:
16
Step-by-step explanation:
Add 8 + 8 = 16
This is 8 two times or 8 * 2
What is the domain of f(x)=2?
Answer:
All real numbers
Step-by-step explanation:
Domain means the valid x values. If you graph this it is a horizontal line extending to negative infinity and positive infinity where y = 2.
Evaluate |a| - |b|, given a = 5, b = -3, and c = -2.
1. 8
2. 7
3. 3
4. 2
What am I supposed to do here? I’m really confused. May i please get the answers for the students.
Answer: Answe about what ??
Step-by-step explanation:
you didnt put in a any question
5) {(-4, 3), (5,-9), (11, 4), (9, 6), (5, -3), (8, -9), (1,4)} ) {(6, 0), (-12, -16), (-6, 10), (20,-7)}
does this represent a function or no?
These set of figures: {(-4, 3), (5,-9), (11, 4), (9, 6), (5, -3), (8, -9), (1,4)} ) {(6, 0), (-12, -16), (-6, 10), (20,-7)} does not represent a function. Instead, it represents a set.
We are supposed to answer whether {(-4, 3), (5,-9), (11, 4), (9, 6), (5, -3), (8, -9), (1,4)} ) {(6, 0), (-12, -16), (-6, 10), (20,-7)} represents a function or not.
The answer is NO. This is not a representation of a function instead it is a representation of set.
Function: In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). For example [tex]F(x) = 2x-4[/tex] and at [tex]x=0[/tex] the value of function will be zero.Set: In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form.Typically, sets are denoted by curly brackets; for instance, A = {1, 2, 3, 4} is a set.
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FIRST ANSWER GETS BRAINLIEST
Answer:
about 55,000 pounds
Step-by-step explanation:
1,575(3.125) + 5,020(9.9) = 54,619.875
To the nearest thousand, 54,619.875 rounds to 55,000.
what is the fourth step of the risk assessment process? a. determine probability b. estimate severity c. determine current level of preparedness/mitigation d. identify hazards
The fourth step of the risk assessment process is to determine current level of preparedness/mitigation.
The correct option is C.
What exactly is the risk assessment process?A risk assessment is a procedure for identifying potential dangers and analyzing what might happen if one happens. A business impact analysis (BIA) is a procedure that determines the probable consequences of interrupting time-sensitive or important business processes. There are various potential hazards to be mindful of.
What exactly is the goal of risk assessment?The ultimate goal of risk assessments is to improve workplace safety and health. However, to order to accomplish this, your risk assessment process must identify occupational hazards and eliminate or reduce the risks they represent.
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negative 9/10 minus negative 1/2 equals
Answer:
-0.4 or -2/5
:) hope this helped!
3 QUESTIONS LEFT!! WILL GIVE BRAINLIEST TO PROPER ANSWER ONLY, NO SPAM
options for second drop down menu: P, K
Answer: Easy, T = VP/K
Step-by-step explanation:
1. Since you need to multiply P, making it VP = KT
2. Then, you need to divide the K, making it VP/K = T
3. So the first one is VP, the second one is K