Answer:
cos(2x)
Step-by-step explanation:
The simplified expression is
How to evaluate trigonometric expression?
A Trigonometric expression consists of sin, cos and various other parameters which can be simplified using identities.
Given expression:
cos(x){cos(x)-tan(x)sin(x)}
Evaluation:
[tex]cos(x)(cos(x)-\dfrac{ sin(x)*sin(x)}{cos(x)})[/tex]
[tex]cos(x)(\frac{cos^{2} x-sin^{2}x}{cos(x)} )[/tex]
[tex]cos^{2}x-sin^{2}x[/tex]
[tex]cos2x[/tex]
Therefore, the given expression simplifies to cos2x.
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Abby is buying a skateboard for $70 . The sales tax is 8% . Find the total cost of the skateboard , including sales tax
Answer:
First you need to multiply $70 and 8%, which will equal $5.60, and then you have to add it to $70, which will give you $75.60 . Abby would need to pay 75.60 dollars.
Step-by-step explanation:
The sum of 2 and the quantity 20 divided by n.
Answer:
[tex] \dfrac{2 + 20}{n} [/tex]
Step-by-step explanation:
[tex] \dfrac{2 + 20}{n} [/tex]
Answer:
I think your answer is 10
Step-by-step explanation:
Help please I’ll mark you brainliest!!
Answer:
35 ft
Step-by-step explanation:
Sorry this took me so long, I am 99% sure it is right though
I hope this helps :)
why life on Earth depends on matter
Answer:
because matter is everything, everything around us is made of matter even people
have a good day :)
Step-by-step explanation:
Difference between 3/5 of Raman's present age and his age 4 years ago is zero. What will be his age after 5 years?
Answer: 15 years
Step-by-step explanation:
Given
Difference between [tex]\frac{3}{5}[/tex] Raman's present age and his age 4 years ago is 0
Suppose Raman's present age is [tex]x[/tex]
So, we can write
[tex]\Rightarrow \dfrac{3x}{5}-(x-4)=0\\\Rightarrow \dfrac{3x-5x}{5}+4=0\\\Rightarrow \dfrac{-2x}{5}+4=0\\\Rightarrow x=\dfrac{20}{2}=10[/tex]
His age after 5 years is [tex]x+5=15\ yr[/tex]
what is the simplified fractional equivalent of the terminating decimal 0.78?
Answer: 39/50
Step-by-step explanation: the answer is 39/50
Answer:
the answer is 39/50
Step-by-step explanation:
thank you
Write the expression for this problem:
The pizza place sold 1 pizza for 8$ and it costs 0,25$ per garnish.
Answer:
8 + 0.25g
Step-by-step explanation:
(g is the variable for garnish)
-19 2/9 -4 1/9-(-3 4/9) = ?
Answer:
I think its -19.9
Step-by-step explanation:
just break it down :)
0.33333333×3.14×8×8×18
Answer:
1205.75999
Step-by-step explanation:
HELP PLZZ WHAT IS THE ANSWER DON't SEND A FILE PLZ explain step by step I NEED THE ANSWERS TO BOTH QUESTIONS
Answer:
1= 2,3
2= 6,-2
Step-by-step explanation:
sup real human here,
d starts at 1,3
we move it to the right one to fill x+1 so it would be 2,3
We move it down 6 to fill y-6 so it would not be 2,-3
for 2, it is being moved down 5 and over 5
we see this because the original point is 4,-2 and the new position is -1,3 which would be down 5 over 5 from the original
this would make 1,3 become 6,-2
Answer:
1. plug the point (1, 3) into the expressions: (x+1, y-6)
(1+1, 3-6) = (2, -3)
2. make an expression for the points based on B and B':
B: (4, -2)
B': (-1, 3)
(x-5, y+5) because 4 - 5 = -1, and -2 + 5 = 3
plug in A (1,3):
(1 - 5, 3 + 5) = (-4, 8)
5. 3(x - 1) = 23 – 5(x + 2)
Answer:
x = 2
Step-by-step explanation:
3(x - 1) = 23 - 5(x + 2) ← distribute parenthesis on both sides
3x - 3 = 23 - 5x - 10
3x - 3 = 13 - 5x ( add 5x to both sides )
8x - 3 = 13 ( add 3 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
Answer:
x=2
Step-by-step explanation:
Alan drinks 0.55L of milk every day. How much milk does he drink in 5 days?
Write your answer in milliliters.
Answer:2750 milliliters
Step-by-step explanation:
because 0.55Lx5=2.75L.and if we put it into milliliters it would be 2750 milliliters
abc or d ??!!!!!!!!!!!!!!! n
please help i will give brainlyest i promise
Answer:
the fist one
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
i did the math
A merchant bought 12 boxes of eggs containing 10 eggs each at the rate of rs 50 per box.He spent rs 40 on transportation.He sold the eggs at rs 12 per pair.Calculate his gain or loss%.
Given:
A merchant bought 12 boxes of eggs containing 10 eggs each at the rate of Rs 50 per box.
He spent Rs 40 on transportation.
He sold the eggs at rs 12 per pair.
To find:
The gain or loss percentage.
Solution:
The cost of 1 box of eggs is Rs. 50. So, the cost of 12 boxes of eggs is:
[tex]12\times 50=600[/tex]
Number of eggs in 12 boxes is:
[tex]12\times 10=120[/tex]
He spent Rs 40 on transportation. So, total cost of 12 boxes of eggs is:
[tex]600+40=640[/tex]
Cost of each egg is:
[tex]\dfrac{640}{120}=\dfrac{16}{3}[/tex]
He sold the eggs at Rs 12 per pair. It means the selling price of two eggs is Rs 12. So, the selling price of each egg is:
[tex]\dfrac{12}{2}=6[/tex]
We need to find the gain or loss percentage.
Since [tex]\dfrac{16}{3}<6[/tex] it means the selling price is greater than the cost price, therefore it is gain.
The gain percent is:
[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]
[tex]Gain\%=\dfrac{6-\dfrac{16}{3}}{\dfrac{16}{3}}\times 100[/tex]
[tex]Gain\%=\dfrac{\dfrac{18-16}{3}}{\dfrac{16}{3}}\times 100[/tex]
[tex]Gain\%=\dfrac{2}{16}\times 100[/tex]
[tex]Gain\%=12.5\%[/tex]
Therefore, the gain percent is 12.5%.
On Sarah's shelf are 6 mystery books,5 science books,4 history books, and 3 adventure books. What is the probability of NOT selecting a mystery book?
Answer:
Probability of Sarah NOT selecting a mystery book = 0.67
Step-by-step explanation:
Probability helps to show how likely an event will occur;
The probability an event will not occur can be obtained by subtracting the probability that the event will occur from 1.
We can take this route to solve this problem
The probability of picking an option from a broad list of alternatives can be calculated using the formula:
Probability = number of expected outcomes/ total number of options
For our problem, there are only 6 mystery books on the shelf. Hence, the number of expected outcomes is = 6. Sarah cannot pick any more than 6 mystery books, and any mystery book she picks will be from that lot.
The total number of options refers to the total number of books available to pick from; whether mystery, science history, and adventure.
We can get this by adding 6 + 5 + 4 + 3 = 18
Probability of Sarah selecting a mystery book = 6/18
Probability of Sarah NOT selecting a mystery book = 1 - (6/18) = 0.67
In hockey, Nick plays an average of 35 games per season. He finished the season with 47 goals. How many goals did he score per game?
What are the formulas for a 90, 180, 270, and 360 rotation?
A t-shirt company spent 28% of its annual budget developing a new heat-press machine. What fraction of the company's budget was spent developing the new machine?
Answer:
7/25
Step-by-step explanation:
State if the two triangles are congruent. If they are, state how you know
A) SSS
C) ASA
B) Not congruent
D) SAS
Answer:
C) ASA
Step-by-step explanation:
angles are indicated equal and they share the common diagonal between those angles, so ASA
The given two triangles are congruent due to the ASA postulate, which is the correct answer that would be an option (C).
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
The given triangles are given in the figure.
We can see that there are two angles that are the same and one side is the same.
According to ASA, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.
So, we conclude that the given two triangles are congruent.
Hence, the given two triangles are congruent due to the ASA postulate.
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jason is closing on a $430,000 home. he made a 10% down payment and is borrowing the rest. closing costs are 3.5 percent of the mortgage.
a. what is the down payment?
b. what is the amount of the mortgage?
c. what are the closing costs?
d. what is the total amount of the mortgage if they finance the closing costs with the mortgage
The total Amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.
a) The down payment of Jason is 10% of $430,000 =$43,000b) The amount of the mortgage is the difference between the home value and the down payment.
Mathematically, $430,000 - $43,000 = $387,000.c) The closing costs are 3.5% of the mortgage. So, 3.5% of $387,000 is: 0.035 × $387,000 = $13,545.
Hence, the closing costs are $13,545. d) The total amount of the mortgage if they finance the closing costs with the mortgage is the sum of the amount of mortgage and the closing cost.
So, the total amount of the mortgage is: $387,000 + $13,545 = $400,545.Solution:a) Jason's down payment is 10% of the cost of the house, which is given as $430,000.
To calculate the down payment, multiply the cost of the house by 10%.Down payment = $430,000 x 10% = $43,000
Therefore, Jason's down payment is $43,000.b)
The amount of the mortgage is the difference between the total cost of the house and the down payment. The cost of the house is given as $430,000.
Thus, we have:Mortgage amount = Total cost - Down paymentMortgage amount = $430,000 - $43,000Mortgage amount = $387,000
Therefore, the amount of the mortgage is $387,000.c) The closing costs are 3.5% of the mortgage.
Using the mortgage amount calculated in part b), we can compute the closing costs as follows:Closing costs = 3.5% x Mortgage amountClosing costs = 3.5% x $387,000
Closing costs = $13,545
Therefore, the closing costs are $13,545.
d) If the closing costs are financed with the mortgage, we simply need to add the closing costs to the mortgage amount calculated in part b):Total amount of the mortgage = Mortgage amount + Closing costsTotal amount of the mortgage = $387,000 + $13,545
Total amount of the mortgage = $400,545
Therefore, the total amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.
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Sal buys y pens and some pencils. He buys 10 more pencils than pens. How many pens and pencils does he buy
altogether?
Answer:
20
Step-by-step explanation:
Mr. Smith ordered 27 boxes of baseballs. There were 30 baseballs in each box. How many baseballs did Mr. Smith order?
Answer:
27x30=810
Step-by-step explanation:
Answer: Mr.Smith ordered 810 baseballs
Step-by-step explanation:
To find the answer we need to:
1) Since, we know that Mr.Smith ordered 27 boxes and 30 baseball are in each of them. We need to multiply.
27 x 30 = 810
5. At Ripona Middle School, there are 645 students,
in the student body. There is 258 girls. What
Percent of the students are boys?
Answer:
60% of students are boys
Step-by-step explanation:
Okay first subtract 645-258 to get the amount of boys at the school
645-258=387
Now the ratio of boys to girls is
387:258
387/645×100 to get percentage of boys
put that in your calculator and you will get 60%
so there is 60% of middle school boys and
258/645×100 to get the percentage of girls
put it in the calculator and you will get 40%
so 60% boys and 40% girls
60% + 40% = 100%
Find the measurement of Dae need help fast
Answer:
D = 80 degrees or (76+4) C And F are 70 i think
Step-by-step explanation:
If the same textbook is in a lower shelf that is o.75 m above the floor. What is its potential now?
Answer:
PE = 51.45 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8m/s^2)(0.75 m)
= 51.45 Joules
WILL MARK FOR BRAINIEST!!!!
Find the area of the composite shape.
Nick has an album that holds 700 compact discs. Each page of the album holds 7 compact discs. If 69% of the album is empty, how many pages are filled with compact discs?
Answer:
41
Step-by-step explanation:
each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.
An 18 kg weight is lifted up to 12 m in height and then released in free fall. What are the potential energy, kinetic energy and total energy at: The highest point? 3 m above the ground? At the ground?
Answer:
1) at the highest Point
KE= 0 PE=2116.8 N
2) 3 m above the ground
PE= 529.2 N KE=1587.6 N
3) at the ground
KE= 2116.8 N and PE=0
Step-by-step explanation:
The potential energy is given by
PE= mgh where m is the mass , g is the acceleration due to gravity which is equal to 9.8 m/s² and h is the height.
The kinetic energy is given by KE= 1/2 mv² where m is the mass of the body and v is the velocity.
1) at the highest Point
Now at the highest point the velocity is zero
KE= 1/2 mv²
KE= 0
PE = mgh
PE= 18 *9.8* 12= 2116.8 N
Total Energy = KE + PE= 0 + 2116.8 N= 2116.8 N
2) 3 m above the ground
At 3 m above the ground
PE= mgh
PE= 18 *9.8* 3= 529.2 N
According to law of conservation of energy the total energy ( sum of KE and PE) remains the same at every point.
Total Energy = KE + PE
2116.8 N-529.2N= 1587.6N
KE=1587.6 N
3) at the ground
at the ground the height will be zero
PE= mgh
PE= 18 *9.8* 0= 0 N
According to law of conservation of energy the total energy ( sum of KE and PE) remains the same at every point.
Total Energy = KE + PE
2116.8 N=2116.8 N + 0
KE= 2116.8 N
or
KE= 1/2 mv²
KE = 1/2* 18 *(15.36)²= 2116.8
what percent of 71 is 177.5?
Answer:
250%
Step-by-step explanation:
177.5 / 71 = 2.5
2.5 x 100 = 250%
Divide the number (177.5) by the number you're trying to find the percent of (71) and multiply by 100 to find the percentage.
