Answers
Answer:
Step-by-step explanation:
Answer:
x = 15[tex]\sqrt{3}[/tex] , y = 15
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{30}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 30[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 15[tex]\sqrt{3}[/tex]
---------------------------------------------------------
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{30}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 30 ( divide both sides by 2 )
y = 15
Related Questions
What is the result of subtracting the second equation from the first?
-4x-2y=-2
x-2y=9
Answers
Answer:
x=2.2
y=-3.4
Step-by-step explanation:
subtract the second from the first
-5x=-11
x=2=2
substituting by x in the first equation
so y=-3.4
Find the radius of the button.
28 mm
radius:
mm
Answers
Answer:
14 mm
Step-by-step explanation:
Just write down the answer.
Answer:
28mm
Step-by-step explanation:
is the right answer
Use the rule x + 9 to write a sequence. Start with x = 0.
Be sure to write a sequence of at least six numbers, each separated by commas:
0, ___, ___, ___, ___, ___
Answers
Answer:
9, 10, 11, 12, 13, 14, 15
Step-by-step explanation:
0 + 9 = 9
1 + 9 = 10
2 + 9 = 11
3 + 9 = 12
4 + 9 = 13
5 + 9 = 14
6 + 9 = 15
The sequence of at least six numbers, by using rule x + 9 Start with x = 0 is 9, 10, 11, 12, 13, 14.
What is sequence?An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.
Given:
x + 9
First sequence, Put x = 0
0 + 9 = 9
Second sequence, put x = 1
1 + 9 = 10
Second sequence, put x = 2
2 + 9 = 11
Second sequence, put x = 3
3 + 9 = 12
Second sequence, put x = 4
4 + 9 = 13
Second sequence, put x = 5
5 + 9 = 14
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2 5/6 divided by 3 1/4 please explain .
Answers
You turn both mixed fractions into improper fractions. Then flip 13/4 into 4/13 and multiply. I’m sorry if this doesn’t make sense.
17/6 x 13/4 to 17/6 x 4/13
17/6 x 4/13 = 68/78 = 34/39
Answer:
[tex]\frac{34}{39}[/tex]
Step-by-step explanation:
[tex]2\frac{5}{6}[/tex] can be rewritten as [tex]\frac{17}{6}[/tex]
[tex]3\frac{1}{4}[/tex] can be rewritten as [tex]\frac{13}{4}[/tex]
So now
[tex]\frac{17}{6} / \frac{13}{4}[/tex]
Flip the second fraction and multiply
[tex]\frac{17}{6} * \frac{4}{13} = \frac{68}{78}[/tex]
Now reduce the fraction
[tex]\frac{34}{39}[/tex]
One kilogram is approximately 2.2 pounds. Write a direct variation equation that relates x kilograms to y pounds.
Answers
Answer:
2.2y=1x or just x
Step-by-step explanation:
Answer: y=2.2x
Step-by-step explanation:
Pls help this is sooOOOOOOO annoying!!
(07.06)Number line with closed circle on 9 and shading to the left.
Which of the following inequalities best represents the graph above?
a > 9
a < 9
a ≤ 9
a ≥ 9
Answers
Answer:
a ≤ 9
Step-by-step explanation:
Closed circle means ≤ or ≥
Shading to the left means left direction < or ≤
The inequality sign that has both is: ≤
a ≤ 9
Answer:
The answer is C
Step-by-step explanation:
I took the test and I got it right
Prince Ivan rides Grey Wolf at a constant speed from King's Castle to the Magic Apple Garden in 5 hours. On their return trip to King's Castle, Grey Wolf runs at that original constant speed for the first 36 km. Then he runs the rest of the way 3 km/h faster. What was Grey Wolf's original speed if the return trip took 15 minutes less than the trip from King's Castle to the Magic Apple Garden?
Answers
Answer:
48 and 9
Step-by-step explanation:
36/x + 5x-36/x+3 = 5-0.25
Answer:
9 and 48 km/hr
Step-by-step explanation:
The Formula [tex]S=\frac{D}{T}[/tex] along with its variations are used
Let's say for the initial ride, the speed was x. Because the time was 5 hours, the distance was 5x km. Now for the return. For the first part, the speed remains x but our distance is 36km. So, our time is 36/x hours. For the second part, the speed is x+3 but our distance is 5x-36 (The total minus the distance of the first part.) So, our time is [tex]\frac{5x-36}{x+3}[/tex]. Now we have the equation [tex]\frac{36}{x} + \frac{5x-36}{x+3}=5-\frac{1}{4}[/tex] as our times add up to 5 hours minus 1/4 of and hour. Solving, we get x=9, x=48.
I would just like some solving steps or the answers.
Answers
Which group of numbers is listed from least to greatest?
-4, -6, -7, -8, -9
-2, 3, 5, -8, 9
7, 4, -6, -7, -9
-2, -1, 0, 4, 9
Answers
Answer:
-2, -1, 0, 4, 9
Step-by-step explanation:
Math question: Solve for y: 2x-y=3
Answers
Answer:
[tex]y=2x-3[/tex]
Step-by-step explanation:
This is just algebraic manipulation. In order to solve for y, you need to isolate it. Start this by moving the 2x from the left side of the equation. You can do this by subtracting 2x from both sides and you should end up with:
[tex]-y=-2x+3[/tex]
After this, you still have a negative y, which means you just need to divide both sides of the equation by -1 to get rid of the negative. That should reverse the signs of all the variables in the equation, making it look like:
[tex]y=2x-3[/tex]
») What is the circumference of the rim of a basketball hoop with a radius of 9 inches? First, multiply the radius by__ to get the diameter__ inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of
about__ inches. ») Convince Me! If the diameter is doubled, what happens to the circumference? Explain.
Answers
Answer:
First, multiply the radius by 2 to get the diameter 18 inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of about 56.52 inches. If the diameter doubles the circumference doubles.
Step-by-step explanation:
18π = 56.52
36π = 113.04
56.52*2 = 113.04
In Problems 10 and 11, a sequence is defined recursively. Write down the first five terms.
10. a1=3; an=4-an-1
11. a1=1; a2=2; an=-1 *an-2
Answers
Step-by-step explanation:
10. a1=3, a2=1, a3=3, a4=1, a5=3
11. a3=2x1=2, a4=2x2=4, a5=4x2=8
hope that helps :)
Can someone help me with this problem
Answers
Answer:
51 degrees
Step-by-step explanation:
As we already know that this triangle is a right triangle.
To find x, you need to subtract both angles.
90 - 39
= 51
Write and solve an equation to find the missing dimension of the figure.
Answers
Answer:
15.5769230769
Step-by-step explanation:
8×13 = 104
1620÷104 = 15.5769230769
Please help I’ll give brainliest
Answers
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
2/3 x 6 need help asap
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2/3 x 6 is 4 because when you times the 2 in 2/3 u get 12 and 12/3 is the same as 4
Seth is using a large shoe box to store his baseball cards. The length of the box is 12 inches, and the height is 6 inches. If the volume of Seth's box is 288 cubic inches, how wide is the box?
Answers
Step-by-step explanation: *First, decide which volume formula to use: v = lwh
*Next, substitute in for what you do know (leave variable for unknown): 288 = 12 · w · 6
*Then simplify the side of the equation with the variable: 288 = 72 · w
*Now divide each side of the equation by 72 to solve for w:
288 ÷ 72 = w
4 in = w
What is the solution to the system of
equations graphed below?
a.(-13,-20)
b.(-15,-22)
c.(-1,-8)
d.(-10,-15)
Answers
Answer:
(-13,-20)
Step-by-step explanation:
We know that the graph with x-intercept at (7,0) and y-intercept at (0,-7) is y = x-7
and the second equation is y = 2x+6
Therefore, we have two equations.
[tex] \large{ \begin{cases} y = x - 7 \\ y = 2x + 6 \end{cases}}[/tex]
Because both equations are equal (y=y)
x-7=2x+6
-7-6=2x-x
-13=x
We know the value of x, but not y-value. We substitute the value of x to get the value of y.
Substitute in any given equations which I will be substituting in the first equation.
y=-13-7
y = -20
Therefore when x = -13, y = -20
In coordinate form, we can write as (-13,-20).
If you have any questions, feel free to ask.
Which graphed function is described by the given intervals? Increasing on (−∞, 0) Decreasing on (0, ∞)
A) A
B) B
C) C
D) D
Answers
What is the area of this tile
Answers
Answer:
12 in^2
Step-by-step explanation:
Answer: 12in^2
Step-by-step explanation:
An amusement park thrill ride swings its riders back and forth on a pendulum that spins. Suppose the swing arm of the ride is 62 feet in length, and the axis from which the arm swings is about 64 feet above the ground. What is the height of the riders above the ground at the peak of the arc? Round to the nearest foot if necessar
PLEASE HELP
Answers
Answer:
118ft
Step-by-step explanation:
dont ask how i got it i just got the answer from my teacher but they didnt show me the work. ur welcome
This hanger is in balance. There are two labeled weights of 4 grams and 12 grams. The three circles each have the same weight. What is the weight of each circle, in grams?
Answers
Answer:
8/3 gram
Step-by-step explanation:
Since the hanger is said to be in balance, then the weight on the right balances the weight on the left ;
Right hand side = Left hand side
12 = 4 + x + x + x
12 = 4 + 3x
12 - 4 = 3x
8 = 3x
8/3 = 3x / 3
x = 8/3 gram
hi hottie, pls help me !
Mrs. St. Louis purchased an iPhone 12 Pro. The decreasing value of her phone, after t years, is modeled by the function V(t)=1,200(0.65)^t
Fill in the numbers from the options to correctly complete the statements interpreting this function.
The phone initially cost $______
The value of the phone is depreciating at a rate of _____ % each year.
Answers
Answer:
1200
0.65
The answers are in the function
I need help please, anyone will to help?
Answers
Answer:you just add the numbers to get answer
Step-by-step explanation:
Are the ratios 18:6 and 3:1 equivalent?
Answers
Answer: no
Step-by-step explanation: here are all the ratios equivalent to 18:6 18 : 636 : 1254 : 1872 : 2490 : 30108 : 36126 : 42144 : 48162 : 54180 : 60198 : 66216 : 72234 : 78252 : 84270 : 90288 : 96306 : 102324 : 108342 : 114360 : 120378 : 126396 : 132414 : 138432 : 144450 : 150468 : 156486 : 162504 : 168522 : 174540 : 180558 : 186576 : 192594 : 198612 : 204630 : 210648 : 216666 : 222684 : 228702 : 234720 : 240738 : 246756 : 252774 : 258792 : 264810 : 270828 : 276846 : 282864 : 288882 : 294900 : 300918 : 306936 : 312954 : 318972 : 324990 : 3301008 : 3361026 : 3421044 : 3481062 : 3541080 : 3601098 : 3661116 : 3721134 : 3781152 : 3841170 : 3901188 : 3961206 : 4021224 : 4081242 : 4141260 : 4201278 : 4261296 : 4321314 : 4381332 : 4441350 : 4501368 : 4561386 : 4621404 : 4681422 : 4741440 : 4801458 : 4861476 : 4921494 : 4981512 : 5041530 : 5101548 : 5161566 : 5221584 : 5281602 : 5341620 : 5401638 : 5461656 : 5521674 : 5581692 : 5641710 : 5701728 : 5761746 : 5821764 : 5881782 : 5941800 : 600
https://goodcalculators.com/ratio-calculator/
© 2015-2021 goodcalculators.com
Answer:
yes
Step-by-step explanation:
18:6
18/6=3
6/6=1
3:1 is a simpler version of 18:6
Principal = $47,300 Rate = 3% Time = 4 months What will the total payment plus interest be?
Answers
Answer:
Simple Interest (I) = Principle * Rate * Time
so I = PRT
P = $47300
R = 3% = 0.03
T = 4months = 0.33years
so
Assuming its per year after 4month
I = (47300)(0.03)(0.333333)
I = 472.999527
I = $473
Now we'd add the interest(I) to the Principle
$47300 + $473 = $47773.00
Assuming it is per month, after 4months
I = PRT
I = (47300)(0.03)(4)
I = $5676.00
Now add the interest to the principle
$47300 + $5676 = $52976.00
Step-by-step explanation:
there you go hope this help
PLEASE HELP! WILL GIVE BRAINLIEST!!!!
Answers
Answer:
I can't read it
Step-by-step explanation:
Lizzy had test scores of: 72, 94, 108, 60What is the RANGE of her test scores?
Answers
Answer:
48
Step-by-step explanation:
To find the range, you have to subtract the biggest/largest number by the smallest number:
108 - 60 = 48
The range is 48.
Kwans beginning account balance was $20. his ending balance is $0. what integer represents the change in his account balance from beginning to end?
Answers
An integer is any whole number, negative or positive, and since Kwan lost 20 dollars, the answer is -20.
Please help due two days ago helpp me please Which measure of center is the most appropriate for the data in Table 1 (Height) in Task 1? Give a reason for your answer. calculate the value of the most appropriate center value of the heights.
Answers
Answer:
I think the correct answer is....... The measure of center for table 1 is 61, 62, 58, and 57 inches. The most kids had the same number of inches in this category.
I'm not 100% sure so try at your own risk
Have a great day!
The center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.
What is Measures of center?
Measures of center of data set is also "a way of describing data set. The two most widely used measures of the center is mean and median".
What is mean?
Mean is the process of "adding all values and then divided by total number of values".
What is median?
Median is the "process of arranging data value in ascending or descending order and then divided data set into two if 'n' is odd then middle point is the median or if 'n' is even then sum of two mid value and then divided by two".
What is Mode?Mode can be one, "two or more in the given data set. The number or data point which have more frequency is taken as mode".
According to the question,
Measures of center is the most appropriate for the data in Table 1 (Height) in Task 1.
Heights in inches Frequency
55 1
57 3
58 3
59 2
60 1
61 3
62 3
63 2
64 2
65 2
66 1
67 1
Total number of frequency = N = 1+3++3+2+1+3+3+2+2+2+1+1 =24. Number of siblings n =12
Mean = ∑(Height of inches × Frequency of height)/Total number of frequency.
= [tex]\frac{(55*1+57*3+58*3+59*2+60*1+61*3+62*3+63*2+64*2+65*1+66*1+67*1)}{24}[/tex]
= [tex]\frac{1399}{24}[/tex]
= 58.29.
Mean of heights of siblings are 58.29
Median of the height of 24 siblings are sum of 61 and 62 divided by 2.
= [tex]\frac{61+62}{2}[/tex] [since 'n' is odd]
=61.5.
Median of the height of 24 siblings are 61.5.
Mode of the height 24 siblings 57,58,61,62 are the heights in inches.
Hence, the center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.
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