Step-by-step explanation:
Start by squaring both sides
cosA+sinA=[tex]\sqrt{2}[/tex]
[tex]cos^2A+2cosAsinA+sin^2A=2[/tex]
Apply Trig identity
[tex]cos^2x+sin^2x=1[/tex]
2cosAsinA+1=2
2cosAsinA=1
Apply Trig Identity
2cosxsinx=sin(2x)
sin(2A)=1
2A=arcsin1
arcsin(1) is a known value [tex]\frac{\pi }{2}[/tex]
2A=[tex]\frac{\pi }{2}[/tex]
A=[tex]\frac{\pi }{4}[/tex]
[tex]\pi[/tex] [tex]radians=180^o[/tex]
A=[tex]\frac{180^o}{4}[/tex]=[tex]45^o[/tex]
PLEASE CAN SOMEONE ANSWER THIS, THANKS
Suppose a charity received a donation of $24.1 million. If this represents 29% of the charity's donated funds, what is the total amount of its donated funds?
Round your answer to the nearest million dollars.
Answer:
$83 million
Step-by-step explanation:
29% of the charity's donated funds.
$24.1 million = donation
Let x = the total amount of donated funds
29/100 • x = 24.1
x = 24.1 • 100/29
x = 83.10
=83
Hope this helps :)
Justin wants to buy a new bicycle, which costs $266.52. His parents have promised to contribute one-fourth of the cost of the bike. The rest will have to come out of Justin’s savings. What amount will Justin need to come up with to get the new bike? Round 2 places past the decimalI have no clue how to do financial math
Answer:
Step-by-step explanation:
laura's family is going on a vacation. they will drive 4,180 miles over the next two weeks. about how many miles will they drive on average each week?
Answer:
l auras family will drive 2090 miles watch week because you decide by 2 because there are 2 weeks
Please help. Can you reorder them correctly? Thank u
Answer:
it's just a turned reflection
Step-by-step explanation:
.Question.[Mathematics]
6! =
7! =
[tex] \: \: \: \: \: \: [/tex]
[tex]6! = 720 \\ \\ 7! = 5040[/tex]
Step-by-step explanation:
[tex]6![/tex]
Usen! -n × ( n - 1 )×...× 2 x 1 to = calculate the factorial[tex]6 \times 5 \times 4×3× 2×1[/tex]
calculate the product[tex] = 720[/tex]
[tex]7! = [/tex]
Usen! - nx(n-1)×...*x2x1 to = calculate the factorial[tex]7 \times 6 \times 5 \times 4×3×2×1[/tex]
calculate the product[tex] = 5040[/tex]
hope it helps[tex] \: \: \: \: \: \: \: [/tex]
Answer:
720 and 5040
Step-by-step explanation:
Using the definition of n! ( n factorial )
n! = n(n - 1)(n - 2) ...... × 3 × 2 × 1
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
3x=15 question answer
Answer:
x=5
Step-by-step explanation:
To solve for the value of x, you have to get x by itself. So to get rid of the 3, divide both sides by 3. 3x/3 leaves x. 15/3 leaves 5. So you're left with x=5.
The solution of expression 3x = 15 is,
⇒ x = 5
We have to given that,
An expression to simplify,
⇒ 3x = 15
We can simplify the expression for value of x,
⇒ 3x = 15
Divide both side by 3,
⇒ 3x/3 = 15 / 3
⇒ x = 5
Therefore, The solution of expression 3x = 15 is,
⇒ x = 5
Learn more about the mathematical expression visit:
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what is the value of x
a) 69
b) 35
c) 14
d) 26
Answer:
50²-48²
solve it you will get answer
Answer:
C) 14
Step-by-step explanation:
(Phytogoras theorem)
[tex] {50}^{2} = {48}^{2} + {x}^{2} [/tex]
2500 = 2304 + x^2
2500 - 2304 = x^2
X^2 = 196
[tex]x = \sqrt{196} [/tex]
X = 14
As a fundraiser, a club is selling posters. The printer charges a $15 set-up fee, plus $0.85 for each poster. The cost y in dollars to print x posters is given by y = 0.85x +15.
(a) What is the cost y in dollars to print 30 posters? To print 100 posters?
(b) Find the number of posters x if the printer billed the club for costs of $185.
(c) Write the information from parts (a) and (b) as three ordered pairs.
(d) Use the data from part (c) to graph the equation.
(a) The cost y to print 30 posters is $___ and to print 100 posters is $___.
Answer:
See below for answer
Step-by-step explanation:
A. y = 0.85x + 15 when x = 30
y = 0.85(30) + 15
y = 40.5
y = 0.85x + 15 when x = 100
y = 0.85(100) +15
y = 100
B. y = 0.85x + 15 when y = 185
185 = 0.85x + 15
185 - 15 = 0.85x
170 = 0.85x
170/0.85 = x
200 = x
C (30, 40.5)
(100, 100)
(200, 185)
the price of a machine is given as GHC 20,000 plus VAT. If the VAT rate is 12%, find the price that a customer must pay for the machine.
Answer:
Step-by-step explanation:
12/100 × 20000
= 2400
Price customer must pay = 20,000+ 2400 = 22400.
If price of a machine is given as GHC 20,000 plus VAT. If the VAT rate is 12%. Then 22400 is the price that a customer must pay for the machine.
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity.
Given,
The price of a machine is given as GHC 20,000 plus VAT
The VAT rate is 12%,
We need to find how much a customer has to pay for the machine..
12% is changed to decimal number by dividing with 100.
12/100=0.12
Now multiply 20000 with 0.12 to find 12% of 20000
0.12×20000=2400
Now we have to add 2400 with 20000 to get the cost of machine after adding VTA
20000+2400=22400
Hence 22400 is the price that a customer must pay for the machine.
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Can anyone help me with this
Answer:
12
Step-by-step explanation:
Answer:
4
very simple algebric question...hope its help you
Which expression is equivalent to this expression?
34(4h – 6)
A. 3h – 92
B. 4h + 92
C. 3h – 6
D. 4h + 6
Answer:
the answer is d
Step-by-step explanation:
1. ) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.
Answer:
710
Step-by-step explanation:
81+74+72+66+67+72+66+66+72+65+71= 701
701 rounded to the nearest tenth is 710
can someone please help me with this i have 2 questions so yeah..
1.Natalie and her friends decided to rent 4 lanes at regular cost for a party. Ten people need to rent shoes, and 4 people are members. What is the total cost for the party?
medium sodas cost $1.25 and hot dogs cost $2.50
2. Natalies group brought in pizzas, but is buying the drinks at the concession stand. How many medium sodas can Natalies group buy with $20? Make a table to show your answer.
Answer:
1. Hence, the answer is $74.50
2. Hence, the answer is 16.
Step-by-step explanation:
1. Given: Natalie and her friends decide to rent 4 lanes at regular cost for a party. Ten people need to rent shoes, adn 4 people are members.
To find: What is the total cost for the party?
Solution:
Since Natalie and her friends wanted to rent four lanes, we need to calculate this at REGULAR cost.
4 * 9 .75 = 39
Now since 10 people want to rent shoes, and 4 people are members, we subtract.
10 - 4 = 6
6 nonmembers
4 members
6 times the amount of shoe rental for 6 * 3.95 - 23.70
non members
4 times the number of members shoe rental 4* 2.95
11. 80
Now add the quantities
39 + 11.80 + 23.70 += 50.80 + 23.70 =
74.50
Now, our answer is 74.50
2.
Solution:
20 / 1.25 = 16
So the possible amount that can be bought is 16 medium sodas.
Suzie has 672 marbles. She wants to put the marbles into 5 containers, each with the same amount. How many marbles will be in two containers?
Answer:
there would be 67.2 in 2 containers
Step-by-step explanation:
if you take 672 and divide that by 5 you get 134.4 so if you take that number and divide it by 2 you would get 67.2 hope this helps
A number, X, rounded to 1 decimal place is 3.7
Write down the error interval for x.
What operations are defined for these matrices?
The answer choices are M+N, N-Q, Q+L, M-P. Please help I really don’t know.
Step-by-step explanation:
if you are looking for the matrix or matrices then
L=2x2
p=2x2
q=2x1
m=4x2
n=4x2
This is cause the formula to get these is RxC or R=rows and C=columns
(i hope this is it, if not comment and lemme know)
What is dehydration reaction ?
Answer:
In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.
Answer:
In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.
Step-by-step explanation:
PLZ HELP ASAP! I'LL GIVE BRAINLIEST AND POINTS JUST HELP PLZ
plz no links
Divide these numbers in scientific notation.
(9.6*10^-8) divided by (3*10^-7)
Answer:
3.2 *10^-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\dfrac{9.6*10^{-8}}{3*10^{-7}}==\dfrac{9.6}{3}*10^{-8-[-7]}\\\\\\= 3.2*10^{-8+7}\\\\\\=3.2*10^{-1}[/tex]
PLZ HELP I NEED IT
Find the length for X
Answer:
Step-by-step explanation:
[tex]\frac{6}{4.5}=\frac{4}{x}[/tex]
6x = 4 × 4.5
6x = 18
x = 3
there are eight competitors in each ring for a raw kwon do to tournament if there are 96 competitors in the tournament how many rings do they need
Answer:
12
Step-by-step explanation:
You divide 96 by 8 and you get 12.
Given
a= ∅
b=B
c= then A ∪ B=B
d= A
e = then A ∩ B=B
1. If A ⊂ B
2. If B ⊂ A
3. A ∪ ∅
4. A ∩ ∅
5. B ∪ ∅
Answer:
Step-by-step explanation:
A ∪ B 2.A ∪ C 3.A ∩ B 4.A ∩ C 5.B ∩ C. 4 - {1,3,5} 5 - null, or empty set ... a = ∅ b = B c = then A ∪ B = B d = A e = then A ∩ B = B. 1. If A ⊂ B ...
Quadrilateral JKLM with vertices J(2, 10),
K(8,9), L(7,4), and M(3, 4):
J
k = 2, centered at (4,7)
Given:
Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).
(a)If we translate quadrilateral JKLM 3 units down and 3 units left:
(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)
Therefore, we match it with: A translation 3 units down and 3 units left
(b)If we translate quadrilateral JKLM 2 units right and 3 units down:
(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)
Therefore, we match it with:A translation 2 units right and 3 units down
S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:
A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)
(d)If we translate quadrilateral JKLM 3 units left and 2 units up:
(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)
Therefore, we match it with: A translation 3 units left and 2 units up
(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
No suitable transformation is found from JKLM to STUV.
Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).
(a)If we translate quadrilateral JKLM 3 units down and 3 units left:
(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)
Therefore, we match it with: A translation 3 units down and 3 units left
(b)If we translate quadrilateral JKLM 2 units right and 3 units down:
(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)
Therefore, we match it with:A translation 2 units right and 3 units down
S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:
A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)
(d)If we translate quadrilateral JKLM 3 units left and 2 units up:
(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)
Therefore, we match it with: A translation 3 units left and 2 units up
(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
No suitable transformation is found from JKLM to STUV.
Given that 6x – 7y=4
Find x when y = 2
Answer:
x = 3
Step-by-step explanation:
6x - 7y = 4
We are given that y = 2
6x - 7(2) = 4
6x - 14 = 4
Add 14 on both sides to leave the 6x alone
6x = 18
Divide by 6 to isolate x and find the value of x
x = 3
We can further prove this by putting in the value of x
6(3) - 7(2) = 4
18 - 14 = 4
Which is correct
Answer:
3
Step-by-step explanation:
Which is the numerical coefficient of the algebraic expression 15 + 10?
Answer:
15+10=5(3+2)
Step-by-step explanation:
Keith wants to buy an IPad for $500. He wants to earn enough money delivering pizzas to cover at least two-fifths of the cost.
Part A.
If he earns $12.50 per hour at work, write an inequality that represents how many hours Keith's needs to work
Part B
Solve your inequality? Justify your answer.
Answer:
Step-by-step explanation:
500 / 5 = 100 (that's 1 fifth, so 2 fifths will be 200)
200 / 12.5 = 16 (he will have to work 16 hours to get $200)
the inequality would be:
x * 12.5 >= 500 * 0.4 (something like that)
who is in 6th grade or 7th?
cause I swear hrw.com is horrible
Answer college
Step-by-step explanation:
Quan can make 30 bracelets in 2.25 hours. How much time will it take him to make 80 bracelets .
Answer:
6
Step-by-step explanation:
I NEED THIS ANWER (WILL GIVE BRAILIEST TO CERRECT)
Answer: I got 60d+115f
Step-by-step explanation:
Hope this helps.
Answer:
60d+115f
Step-by-step explanation:
if you were basically asking to simplify then this is your answer
Please help me this is due tomorrow.
Answer:
d
Step-by-step explanation:
Eric bought a few marbles and divided equally among four of his friends and his brother, Imer. Eric lost 2 marbles and has only 7 marbles left. How many marbles did Eric buy in all.
Answer:
54 marbles
Step-by-step explanation:
7+2=9(amount Eric had in all)
9×6=54
so in all, he bought 54 marbles which he shared among his friends and brother.
ANS:54 marbles