Answer:
-17√2 /26 or -0.9247 to the nearest ten thousandth.
Step-by-step explanation:
The hypotenuse of the right triangle in which tan x = 2/3 is √(2^2 + 3^2)
= √13 so sin x = 2/√13 and cos x = 3/√13
sin2x = 2sinxcos
= 2* 2/√13 * 3/√13
= 12/13.
cos2x = cos^2x - sin^2x
= 9/13 - 4/13
= 5/13.
sin(2x + 5π/4)
= sin2x cos5π/4 + cos2x sin5π/4
= 12/13 * -1/√2 + 5/13 * -1/√2
= -12 / 13√2 - 5 / 13√2
= -17/13√2
= -17√2 /26.
How many three-digit numbers are divisible by 2,3 or 5?
Answer:
764 numbers
Step-by-step explanation:
Number of multiples of 2: is 2x50–2x499 which is 450 numbers.
Number of multiples of 3: 3x34–3x333 is 300 numbers
Multiples of 5: 5x20–5x199 is 180 numbers
Multiples of 2x3 or 6: 6x17–6x62 or 46 numbers.
Multiples of 3x5 or 15: 15x7–15x66 or 60
numbers.
Multiples of 2x5 or 10: 10x10–10x99 or 90 numbers.
Multiples of 2x3x5 or 30: 30x4–30x33 or 30 numbers.
450+300+180–46–60–90+30=
764 numbers.
Find the area, to the nearest hundredth, of the figure
Answer:
Step-by-step explanation:
hypotenuse = √(14.4² + 6²) = √243.36 = 15.6 mi
area of triangle = 0.5×6×14.4 = 43.2 mi²
radius of semicircle = 15.6/2 = 7.8
area of semicircle = πr² = 60.84π mi²
total area = 43.2 + 60.84π ≅ 234.33 mi²
Can someone please help
Answer:
2 or b
Step-by-step explanation:
Find CD if AE=8, ED=4, and BE=6.
Answer:
The ratio of the two triangles is 8:12.
So BE:CD=2:3
6/CD=2/3
2CD=18
CD=9
Step-by-step explanation:
At Pete's pizza, the cost of a 1 topping pizza is $17.35 and the cost of a 3 topping pizza is $21.05.
Assuming the cost of a pizza follows a linear model, write an equation that represents C, the cost of any pizza with t,toppings.
Answer:
3
Step-by-step explanation:
17.35 * 3
Which graph shows a proportional relationship?
There is a linear relationship between the variables x and y. And the line that passes through the origin. Then the correct option is C.
What are ratios and proportions?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
Let the two variables x and y.
Where x is an independent variable and y is the dependent variable that depends on x directly. Then we have
The variable y is directly proportional to the variable x.
y ∝ x
When the proportionality sign is removed a constant k comes into the equation. That is given as
y = kx
There is a linear relationship between the variables x and y.
And the line that passes through the origin.
The graph is shown below.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1111
easy points.................
Answer:
17 i think
Step-by-step explanation:
is the function a^x increasing or decreasing?
is the function for a^-x increasing or decreasing?
Anyone please help asap for these both questions. thank you
Answer:
The function a^x is increasing, while a^-x is decreasing.
Step-by-step explanation:
The reason for this is the negative. a^x is increasing due to the positive power, while a^-x is decreasing to the negative power.
I hope I helped:)
I would appreciate Brainliest ;)
5.
a. Are triangles ABC and DEF similar?
Show or explain your reasoning.
Yes, the triangles are similar to each other by AA rule and EF = 8.
What is similarity in triangles?When two triangles have congruent corresponding angles and corresponding sides in equal ratio, then they are said to be similar.
Given are the triangles, Δ ABC and Δ DEF,
In Δ ABC,
∠A + ∠B + ∠C = 180°
∠B = 180°- (60°+20°)
∠B = 100°
In Δ DEF,
∠D + ∠E + ∠F = 180°
∠F = 180° - (60°+100°)
∠F = 20°
∠A ≅ ∠D
∠B ≅ ∠E
∠C ≅ ∠F
We see, all the corresponding angles are congruent.
Therefore, according to definition of similar triangles Δ ABC ~ Δ DEF,
And,
AB/DE = BC/EF = AC/DF = 3/4
BC/EF = 3/4
6/EF = 3/4
EF = 8
Hence, the triangles are similar to each other by AA rule and EF = 8.
For more references on similarity in triangles, click;
https://brainly.com/question/25882965
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A bicycle has a listed price of $682.99 before tax. If the sales tax rate is 8.25%, find the total cost of the bicycle with sales tax
included.
Round your answer to the nearest cent, as necessary.
Answer:
739.34
Step-by-step explanation:
(BRAINLIEST IF CORRECT HURRY!)
Chris wraps presents at a local gift shop. If it takes 1.3 meters of wrapping paper per present, how many can Chris wrap if he has 50 meters of wrapping paper?
A. 37
B. 38
C. 40
D. 41
Answer:
B) 38
Step-by-step explanation:
Divide 50 by 1.3 to find how many presents Chris can wrap. It comes out to approximately 38.46, but because Chris cannot wrap 0.46 of a present, he can wrap up to 38 presents.
hey! please help on this question i'll give brainliest <333 .
Answer:
go to photo math on your phone it will help you and please give me brainleist
Step-by-step explanation:
square abcd has an area of 4m^2. square pqrs has an area of 36m^2. What is the similarity ratio of square abcd to square pqrs
Answer:
1:9
Step-by-step explanation:
Solve for − ∣ x − 2 ∣ + 4 ≤ 0
Answer:
x ≥ 6 or x ≤ -2
Step-by-step explanation:
- I x - 2 I + 4 ≤ 0
- I x - 2 I ≤ -4
I x - 2 I ≥ 4
x - 2 ≥ 4 or x - 2 ≤ -4
x ≥ 6 or x ≤ -2
Which expression represents "the product of a and b decreased by 9"?
Answer:
ab-9
Step-by-step explanation:
the product of a and b: a*b
decreased by 9: -9
Answer:
The person above be is correct
Step-by-step explanation:
I figured I would let everyone know so they can trust it anyway have a good day☺️
A cylindrical can of tennis balls holds a stack of three tennis balls so that they touch the can at the top,bottom,and sides. The radius of each tennis ball is 1.25 inches. Find the volume inside the can that is not taken up by three tennis balls.round to the nearest tenths.
Answer:
3.7555555536321
Step-by-step explanation:
1) Walter opened a bank account with $0. He deposits $200 in the bank
each month. Write an expression that represents how much money
Walter has deposited after some number of months (m). Which
student below is correct? What mistake do the other students make?
Student A
200*10
Student B
2200
Student C
200m
Student D
m = 200
Answer:
Student C is correct.
Students A and B do not account for the variable in the equation. Student A assumes that it has already been 10 months when it has not been stated in the question. Student B has come to the conclusion that it has been 11 months. Neither have an equation to show for it. Student D is incorrect because the variable "m" equals the number of months, and the number of months would not equal the amount of money Walter would be receiving in total. Student C is correct because the variable "m", or months, is being multiplied by 200, or the amount of money.
For example, if 5 months were to pass, then you would receive 1000 dollars, because 5×200 is 1000. This would hold up, as in the original problem, you receive 200 dollars per month. another example is if you replace "m" with 0, then it will show that in 0 months, you will have 0 dollars, and it is stated at the beginning of the problem that Walter's bank account starts at $0.
Coordinates (2,5) (6,11) what's the equation of the line?
Answer:
y= 2x+1
Step-by-step explanation:
Using the general linear form y=mx+c
First find the gradient: change in y/change in x
11-5/6-2 = 6/3= 2
y=2x+c
Secondly find out c:
Use one of the coordinats
5= 2(2)+c
5=4+c
-4
1=c
y= 2x+1
x - 8 = 40 solve in word form
Answer: 48
Step-by-step explanation:
add 8 to both sides
-8 and 8 both cancel out and 40 and 8 add to 48
Can someone pls help me?
Answer: 24, 10, 68, 17
Step-by-step explanation:
PLS HURRY!!!!!!!!! YOU WILL BE THE BRAINLIEST.
Which data collections show bias? Check all that apply.
An English teacher polls the top-ten most avid readers to find their favorite books.
An insurance company polls drivers of sports cars to find their average number of tickets.
A restaurant manager surveys every tenth customer for one week.
An assistant principal surveys each student who is sent for discipline.
A fundraiser organizer draws five names from a hat that contains all entries.
Answer:
The English teacher, restaurant manager, and assistant principal show bias.
Step-by-step explanation:
The data collection for each survey is only gathering data from one small portion of the total population that could be surveyed.
Answer:
A, B, D
Step-by-step explanation
I got it right on the quiz on Edge 2021.
4 years ago, the age of two sisters combined equal 24 years, and the younger sister was 8 years younger. How old are they today?
An appliance store decreases the price of a 19-in. television set 16% to a sale price of $509.88. What was the original price?
Answer:
the original price 3186.75
A camera has a listed price of $594.99 before tax. If the sales tax rate is 7.25% , find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$638.16
Step-by-step explanation:
594.99x7.25%=43.17
594.99+43.17=638.18
Drag and drop each equation to match the type of solution.
Answer:
B, A, C
Step-by-step explanation:
Find the measure of angle 1
Answer:
112 Degrees
Step-by-step explanation:
46+90=136
360-136=224
224/2=112
112 Degrees
Answer:
122
Step-by-step explanation:
46 + 90 = 136
360 - 136 = 224
224 ÷ 2 = 122
You picked two marbles from a bag and record their color. How can you make your selections independent events? Dependent events?
Answer:
Let's suppose the next case:
We have a bag, where there are 5 red marbles, and 5 blue marbles.
We have a total of 10 marbles.
Suppose that we pick a marble and we do not replace it, and suppose that the first one is a red marble.
Then now we have in the bag a total of 4 red marbles and 5 blue marbles.
Now let's find the probability of picking a blue marble, this will be equal to the quotient between the number of blue marbles (5) and the total number of marbles (9)
P = 5/9
Now, suppose that instead of a red marble in the first pick, we had a blue marble.
Then now we have 4 blue marbles and 5 red marbles in the bag.
Again, the probability of picking a blue marble will be equal to the quotient between the number of blue marbles (4) and total numbergof marbles (9)
P = 4/9
Then the first pick does affect the probabilities for the second pick, this means that if we do not replace the first marble we pick, then the events will be dependent.
Now, if we replaced the first marble we picked (we put it again in the bag) then the number of blue marbles and red marbles is always the same, then in this case bot events will be independent (the first event will not affect the second event)
A company packages pencil lead for mechanical pencils.
The pencil lead is packaged in lengths of 0.025 m. How
many of these shorter pieces can be cut from a strip of
pencil lead that is 2.4 m long?
Answer: 96
Step-by-step explanation:
From the question, we are informed that a pencil lead is packaged in lengths of 0.025 m. To get the number of the shorter pieces can be cut from a strip of pencil lead that is 2.4 m long, we have to divide 2.4 by 0.025. This will be:
= 2.4 / 0.025
= 96
Therefore, 96 shorter pencils can be gotten
Answer:
96
Step-by-step explanation:
(0v0) '
1 Write the slope-intercept form of the equation of the line. -
Step-by-step explanation:
x=0 y=2
x=-2 y=0
y=mx+b
b=2
0= -2m+2
2m=2
m=1
y= x + 2