The tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.
What are the trigonometry ratios?For a right angle triangle, the trigonometry ratios can be given as,
[tex]\rm \sin \theta=\dfrac{b}{c}\\\rm \cos \theta=\dfrac{a}{c}\\\rm \tan \theta=\dfrac{b}{a}[/tex]
Here, a is base side, b is perpendicular side and c is the hypotenuse side of the triangle.
In the given triangle, the length of base side is 8 units, perpendicular side is 6 units and hypotenuse side is 10 units.
[tex]a=8\\b=6\\c=10[/tex]
Thus, the tangent, cosine and sine ratios of angles X & Y are,
[tex]\rm \sin \theta=\dfrac{6}{10}=\dfrac{3}{5}\\\rm \cos \theta=\dfrac{8}{10}=\dfrac{4}{5}\\\rm \tan \theta=\dfrac{6}{8}=\dfrac{3}{4}[/tex]
Thus, the tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.
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Consider a standard deck of 52 cards (13 cards each in 4 suits, clubs, spades, diamonds and hearts). What is the probability of picking out 5 cards in a row which are all diamonds, without replacing any card to the deck?
Help please im slow and dont feel like doing this lol
Answer:
The answer would be .39
Step-by-step explanation:
So first we have to know the eqation to finding the area of a semicircle, this would be:
2r x π ÷ 2 (r stands for radius)
Ok so since our diameter is 2 we need to divide that in half to find our radius which we would then get .5
And then you we would fill in the blanks and make our eqaution :
2 x 0.5 x 3.14 ÷ 2 which would give us the answer of .39
i have no idea if this is right so pls lmk!
Jessica burned 589 calories hiking for
3 hours. Use compatible numbers to
estimate about how many calories
Jessica burned each hour.
The amount of calories that Jessica burns each hour of her hike is 196.33 calories.
How many calories are burn each hour?
Division is when a number is grouped into equal groups using another number. The sign used to denote division is ÷.
Calories burn per hour = 589 / 3 = 196.33 calories.
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12:20 pages to :30 pages
Answer:
i dont know
Step-by-step explanation:
it confusing is it even a question
7 yards and 2feet equals how many feet?
Answer:
23 ft
Step-by-step explanation:
a yard is 3 feet multiply it by 7 and you get 21 add 2 and you get 23. 23ft is your answer
Determine the measure of angle b, and describe the relationship between the two angles shown.
None of these
40 degrees; supplementary
40 degrees; complementary
130 degrees; complementary
130 degrees; supplementary
linear pair angles are supplementary
b+50=180b=180-50b=130°Kaylee used her saved birthday money to set up a college savings account that earns 4.2% interest compounded weekly. If the original amount deposited was $750, how much interest will she have earned after 10 years?
Total amount of interest rounded to the nearest penny.
keeping in mind that there are 52 weeks in a year.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$750\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{weekly, thus fifty-two} \end{array}\dotfill &52\\ t=years\dotfill &10 \end{cases}[/tex]
[tex]A=750\left(1+\frac{0.042}{52}\right)^{52\cdot 10}\implies A=750\left( \frac{26021}{26000} \right)^{520} \\\\\\ \stackrel{\textit{\Large Amounts}}{\stackrel{accumulated}{750\left( \frac{26021}{26000} \right)^{520}}~~ - ~~\stackrel{original}{750}} ~~ \approx ~~ \stackrel{earned~interest}{391.28}[/tex]
there is a jar of 25 marbles. 9 of the marbles have a blue and black pattern. 6 of the marbles are purple. 10 of the marbles are green. one marble is chosen at random. what is the probability of picking to blue and black patterned marbles?
Answer:
Probability = 9/25
This is 36%
Step-by-step explanation:
To find the probability take the total number of possibilities (25 marbles--all of them) put that number on the bottom of a fraction. Then put the number of ways that outcome can happen (9 blue and black) and put that on top of the fraction.
Probability(event)
= specific/total
Probability(blu&blk)
= 9/25
If the fraction can be simplified, do that. 9/25 cannot be simplified.
If you need a percent for your answer, divide then multiply by 100.
A fraction bar is a division symbol.
9/25 means 9÷25.
9/25 = .36
Percent means "per hundred" To convert a decimal to a percent, multiply by 100
.36×100 is 36%
NO LINKS!! Please help me. Part 2
Answer:
11) [tex]y=-(x-6)^2+4[/tex]
12) [tex]y=(x+5)^2[/tex]
Step-by-step explanation:
Vertex form of a parabola:
[tex]y=a(x-h)^2+k[/tex] where (h, k) is the vertex
Question 11From inspection of the graph, the vertex is (6, 4)
[tex]\implies y=a(x-6)^2+4[/tex]
To find [tex]a[/tex], substitute the coordinates of a point on the curve into the equation.
Using point (4, 0):
[tex]\implies a(4-6)^2+4=0[/tex]
[tex]\implies a(-2)^2+4=0[/tex]
[tex]\implies 4a=-4[/tex]
[tex]\implies a=-1[/tex]
Therefore, the equation of the parabola in vertex form is:
[tex]y=-(x-6)^2+4[/tex]
Question 12From inspection of the graph, the vertex is (-5, 0)
[tex]\implies y=a(x+5)^2[/tex]
To find [tex]a[/tex], substitute the coordinates of a point on the curve into the equation.
Using point (-3, 4):
[tex]\implies a(-3+5)^2=4[/tex]
[tex]\implies a(2)^2=4[/tex]
[tex]\implies 4a=4[/tex]
[tex]\implies a=1[/tex]
Therefore, the equation of the parabola in vertex form is:
[tex]y=(x+5)^2[/tex]
We need equation of the parabolas
#1
Vertex is at (6,4)One x intercept is present (4,0)
Now put that in vertex form of parabola
y=a(x-h)²+k0=a(4-6)²+44a+4=0a=-1So
equation
y=-(x-6)²+4#2
Vertex at (-5,0)So equation
y=a(x+5)²+0=a(x+5)²See the general quadratic equation having vertex (0,0) is shifted to (-5,0) means 5 units left .
So there is no a means a=
Equation remains same
y=(x+5)²I NEEED HELP WITH THIS PROBLEM
Answer--[4]
Step-by-step explanation:
Because if the bottom one is 4 yards then the top one needs to be 4 yards.
Hello I was wondering What is 7% of 150
Answer:
10.5
Step-by-step explanation:
What is the perimeter of the plot of land rounded to the nearest tenth of a foot?
Applying the distance formula, the perimeter of the plot of land, rounded to the nearest tenth, is: 482.8 ft.
What is the Distance Formula?Distance formula is given as: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Name the coordinates of the plot of and as follows:
A (0, 120)
B (140, 100)
C (140, 20)
D (0, 0)
Perimeter of the plot of land = AB + BC + CD + AD
AD = |120 - 0| = 120 ft
BC = |100 - 20| = 80 ft
Use the distance formula to find AB and CD:
AB = √[(140−0)² + (100−120)²]
AB = √20000
AB = 141.4 ft
CD = √[(140−0)² + (20−0)²]
CD= √20000
CD = 141.4 ft
Perimeter of the plot of land = 141.4 + 141.4 + 120 + 80 = 482.8 ft.
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Question 2 of 6 If x= 5 and y= 2, find: ху
Answer:
10
Step-by-step explanation:
xy is simplyfied for x times y
is x is 5 and y is 2 you just substitute them in to get
5 x 2 = 10
- -- - - - - - - - - - - - -- - - - - - - - - - - - - - - - -- - - -
[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Evaluate xy when x=5 and y=2
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
Write 5 in lieu of x:-
5y
Write 2 in lieu of y:-
5(2)
Multiply:-
10
Good luck.- - -- - - - - -- -- - - - - - - - - - - - - - - -- -- - - -- - - -- - - - - - - - - - - - - - -
37. Which of the following multiplication problems has a product that is less than
Select three that are correct.
A.
1
x
8 2
х
NI
х
B.
2
5
8
C.
CI W w
Х
wIW NI
co
D.
8
х
3
E.
8
х
w l w
100
8
F.
X
8 7
00 1 w
х
Answer:
Problem 1. Pikachu is level one and he wants to become level two. But he has to train, so he discovers that his attack swift gives him 1.176 points of experience. But he needs 2.352 points to reach the next level.
How many times does he have to perform the swift attack?
a)1 b)2 c)3 d)4
Problem 2. Snorlax needs to reach level 10 to enter the pokemon gym. But he is currently level 4. However, he discovers that his attack smash gives him .392 experience points and he needs 2.352 to reach level 10. How many times does he have to perform smash?
a)4 b)5 c)6 d)7
Step-by-step explanation:
This is a very easy question if you think the opposite.
1.- The opposite of multiplication is division. So with this knowledge, we can form any amount of problems we want we just need to combine the numbers with our product which is 2.352.
2.- So in the first place, let's make it easy. If we divide 2.352 in 2 then we are going to obtain. 1.176 as a product. Then we combine our product with our divisor and we can multiply them to find our initial product which was 2.352.
3.- In the second place we go more complicate, we divide 2.352 in 6 and we will obtain. .392 then we combine .392 with 6 to multiply them and we obtain back our initial objective. Can you see? it is the easiest thing to do.
4.- We then look for scenarios to put these two processes and we will find our problems.
Problem 1. Pikachu is level one and he wants to become level two. But he has to train, so he discovers that his attack swift gives him 1.176 points of experience. But he needs 2.352 points to reach the next level.
How many times does he have to perform the swift attack?
a)1 b)2 c)3 d)4
Problem 2. Snorlax needs to reach level 10 to enter the pokemon gym. But he is currently level 4. However, he discovers that his attack smash gives him .392 experience points and he needs 2.352 to reach level 10. How many times does he have to perform smash?
a)4 b)5 c)6 d)7
x 5 10 15 20 y 21 26 31 36 An equation is y =
Answer:
y = x + 16
Step-by-step explanation:
1. Find slope: 1
2. Find y intercept by plugging in 2 points using slope intercept formula: 16
3. Plug in the information that you have into your formula: y = x + 16
(-1) × (-1) × (-1) × (-1) × (-1) = ----------
Answer:
-1Step-by-step explanation:
(-1) × (-1) × (-1) × (-1) × (-1) =
1 * (-1) * (-1) * (-1) =
-1 * (-1) * (-1) =
1 * (-1) =
-1
hellllllllllllllllllllllllllllp please
Answer:
The terms in pattern Y are 2 times the terms in pattern X
Step-by-step explanation:
Solve the system using elimination.
Answer:
(-1, 3)
Step-by-step explanation:
x - 5y = -16 [Equation 1]
-x + 3y = 10 [Equation 2]
Adding both equations
x - x - 5y + 3y = -16 + 10-2y = -6y = 3x - 5(3) = -16x - 15 = -16x = -1
Solution : (-1, 3)
Solving for x and y,
→ (x - 5y = -16) + (-x + 3y = 10)
→ x - 5y - x +3y = -16 + 10
→ -2y = -6
→ y = -6/-2
→ [ y = 3 ]
Finding the value of x,
→ x - 5y = -16
→ x - 5(3) = -16
→ x - 15 = -16
→ x = -16 + 15
→ [ x = -1]
___________________
→ -x + 3y = 10
→ -x + 3(3) = 10
→ -x + 9 = 10
→ -x = 10 - 9
→ [ x = -1 ]
Arranging them in ordered pair,
→ (x,y)
→ (-1,3)
Thus, the solution is (-1,3).
PLEASE HELP ME WITH THIS QUESTION
Answer:
answer deleted again
Step-by-step explanation:
Answer:
900 is the answer.
If 5 C - 2 = 3c , then 24 c =
06
O 8
O 16
0 24
Answer:
24
Step-by-step explanation:
5C - 2 = 3C-> 5C - 3C = 2-> 2C = 2 12(2C) = 12(2) (Multiply both sides by 12)-> 24C = 24A 12 inch line segment is divided into two parts. Which of the following lengths result in a ratio closest to the golden ratio, 1+√5/2 ?
Answer:
2:4
Step-by-step explanation:
I remember doing this is my class
Wanda is working on her predictions for the next few days. She calculates that there is a 20% chance of rain on Monday and a 20% chance of rain on Tuesday. If she is correct, what is the probability that it will rain on at least one of these days?
Answer:
36%
Step-by-step explanation:
the complement of it raining on at least one of these days = it not raining on any day
this means that if it does not rain on at least one day, it does not rain on any day
thus,
1 - probability of it not raining at all = probability it rains at least one day
probability it doesn't rain on monday = 1- 20% = 80%
probability it doesn't rain on tuesday = 1 - 20% = 80%
probability it doesn't rain on monday AND it doesn't rain on tuesday = probability it doesn't rain at all
P(A and B) = P(A) * P(B) = 0.8 * 0.8 = 0.64
1 - 0.64 = 0.36 as our answer
Please help me answer this question please
Answer:
B
Step-by-step explanation:
ok so let us start with the bases its 4*3 which is 12 and there are 2 so 12+12 and the bottom is 4*10 so its 12+12+40 then the back is 3*10 so its 12+12+40+30 and the front is easy 5*10 so 12+12+40+30+50 is the correct answer
Make me brainliest please
Plsss help
Suppose f(x) = x2. What is the graph of g(x)=(x)?
O A. H
-5
у
5
B.
int
-5
5
-5
5-
OD. H
5
-5
Step-by-step explanation:
come in ! think a little bit by yourself !
when x = 1, what is f(x) ?
it is f(1) = 1² = 1
what is then g(x) ?
g(1) = 1/4 × f(1) = 1/4 × 1 = 1/4
when x = 2, what is f(x) ?
f(2) = 2² = 4
what is then g(x) ?
g(2) = 1/4 × f(2) = 1/4 × 4 = 1
and equally for x = -1 and -2.
a square function always delivers positive numbers. and so does the square function multiplied by a positive constant (like for g(x)).
the only graph, where the curve is always above the x-axis (only positive results), and where the functional value for x = 1 is much smaller than 1, and the functional value for x = 2 is actually 1, is graph D.
so, D is the right answer.
Evaluate each algebraic expression for x = 2, -3, 6, -5
The values of the expression for x = 2, -3, 6, -5 are -10, -12, 6 and -16, respectively
How to evaluate the expression?The expression is given as:
f(x) = 2x - 6
When x = -2, we have:
f(-2) = 2(-2) - 6 = -10
For other values of x, we have:
f(-3) = 2(-3) - 6 = -12
f(6) = 2(6) - 6 = 6
f(-5) = 2(-5) - 6 = -16
Hence, the values of the expression for x = 2, -3, 6, -5 are -10, -12, 6 and -16, respectively
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You bought a baby fish that is 1/2 cm in length. If its length doubles every week, how long will it be in three months? Create a table to represent
Answer:
2,048 cm
Step-by-step explanation:
There are 4 weeks in a month, and the fish doubles in length every week
Let's put this into a table: (attached picture)
First we start off at 0.5 cm in week 0 (this is week 0 because you just bought the fish).
Then, the length doubles in week 1, so the fish becomes 1 cm.
In week 2, the fish's length doubles again to become 2 cm.
In week 3, the length doubles to become 4 cm.
So on, and so on until we reach a length of 2048 cm.
Therefore, after 3 months the fish's length will be 2,048 cm.
I hope this helps! Good luck, and if you have any questions please let me know in the comments!
Question 4 (Worth 3 points) How can the U.S. government control financial institutions? Voting on a new budget Loaning money to state governments Borrowing money from a foreign bank Passing laws for credit card companies to follow
Answer: D: Passing laws for credit card companies to follow.
Step-by-step explanation:
Identify the zeros of the graphed function.
A)
–2, 2
B)
–2
C)
–2, 0, 2
D)
2
Answer:
-2,2
Step-by-step explanation:
-2, 2, the X-intercepts
If f(x)=3x+2 , determine the value of 2f(x) .
Answer:
6x+4
Step-by-step explanation:
I hope this helps! If it does, please mark me Brainliest! Thanks in advance!
Answer:
6x+4
Step-by-step explanation:
2(3x+2)
2*3x + 2*2
6x + 4
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answer:
x = 24°
Step-by-step explanation:
angle BOC + angle BOA = 180°
angle BOC = 156°, angle BOA = x°
so x + 156° = 180°
=> x = 180° - 156° = 24°
so the measure of angle x is 24°
HOPE THIS HELPS AND HAVE A NICE DAY <3
Answer: x + 24
Step-by-step explanation: