Answers
[tex]~~~~~\sin 30^{\circ} = \dfrac{x}{6}\\\\\implies \dfrac 12 = \dfrac x6\\\\\implies x = \dfrac 62 \\\\\implies x= 3.0~ \text{cm}[/tex]
[tex]\huge\underline\mathcal{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
The question can be easily solved applying trigonometry ~
We know that ,
[tex]\bold{ \sin(\theta) = \frac{perpendicular}{hypotenuse}} \\ [/tex]
Given - θ = 30° and hypotenuse = 6cmTo find - the perpendicular , i.e. , value of xSubstituting the values in the formula of sin θ
[tex] \sin(30\degree) = \frac{x}{6} \\ [/tex]
now , we know that sin 30° = 1/2
[tex]\therefore \: \implies \frac{1}{2} = \frac{x}{6} \\ [/tex]
on cross multiplying ,
[tex]\implies \: 2x = 6 \\ [/tex]
dividing both sides of the equation by 2 ,
[tex] \implies \: \cancel \frac{2x}{2} = \cancel\frac{6}{2} \\ \\ \implies \: \boxed{x = 3 \: cm}[/tex]
hope helpful ~
Related Questions
Need help please answer ASAP!
Answers
#10
x²-9x²-3²(x+3)(x-3)Option A and B
#11
√9a²+16a²√a²(9+16)√a²(25)√5²a²5aOption C
Answer:
10. (2) x - 3
11. (3) 5a
Step-by-step explanation:
Question 10
x² - 9 = (x + 3)(x - 3)x² - 5x + 6 = (x - 3)(x + 2)x - 3 is a common factor(2) x - 3Question 11
Simplifying
√9a² + 16a²√a² (9 + 16)a√25(3) 5aANSWER ASAP FOR BRAINLIEST
Dimitar puts only dimes and quarters into his piggy bank. Right now, it contains five more dimes than quarters, and their total value is exactly $74. How many quarters and how many dimes are in Dimitar's piggy bank?
Answers
0.35x=73.85, comgining moving terms
divide both sides by 0.35
x=211 quarters, which is $52.75 ANSWER
x+5=216 dimes, which is $21.60 ANSWER
That total is $74.35
Answer:
the answer is 210 quarters and 215 dimes
Step-by-step explanation:
Find the distance between points p(6, 2) and q(-3, 8) to the nearest tenth.
Answers
Answer:The distance is 10.8
Step-by-step explanation:
h(n)=63⋅(− 3 1 ) n h, left parenthesis, n, right parenthesis, equals, 63, dot, left parenthesis, minus, start fraction, 1, divided by, 3, end fraction, right parenthesis, start superscript, n, end superscript Complete the recursive formula of h(n)h(n)h, left parenthesis, n, right parenthesis.
Answers
The recursive function is h(n) = -1/3h(n - 1) where h(0) = 63
How to complete the recursive function?The function is given as:
[tex]h(n) = 63* (-\frac{1}{3})^n[/tex]
Set n to 0
[tex]h(0) = 63* (-\frac{1}{3})^0[/tex]
Evaluate
h(0) = 63
This means that the function h(n) has the following parameters:
First term = 63
Rate = -1/3
Hence, the recursive function is h(n) = -1/3h(n - 1) where h(0) = 63
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The annual profits for a company are given in the following table, where x represents the number of years since 2002, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected profit (in thousands of dollars) for 2010, rounded to the nearest thousand dollars.
Answers
The equation of the best fit is y = 16.89x + 134.95 and projected profit is $2700.07
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]
[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
The line of best fit;
y = mx + c
m = 16.89
c = 134.95
y = 16.89x + 134.95
Plug x = 2010 - 2002 = 8
y = 16.89(8) + 134.95
y = $2700.07
Thus, the equation of the best fit is y = 16.89x + 134.95 and projected profit is $2700.07
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jane has 3 apples julio has 4 apples and 2 bananas jesse has 4 bananas and 10 apples how many apples are there in all if they a put all fruit in a basket
Answers
Please answer this! I could not figure it out. Neither could my classmates.
Answers
Answer:
[tex]\sf \boxed{\sf D) \ \sf -\frac{5}{3} }[/tex]
Explanation:
[tex]\rightarrow \sf 3x - 5y = -10[/tex]
[tex]\rightarrow \sf - 5y = -10-3x[/tex]
[tex]\rightarrow \sf y = \dfrac{-10-3x}{-5}[/tex]
[tex]\rightarrow \sf y= \dfrac{3}{5} x+2[/tex]
Comparing it with slope intercept formula: y = mx + b
where m is the slope, b is y interceptIdentify the slope for this function:
[tex]\cdot \ \sf slope \ (m) : \dfrac{3}{5}[/tex]
Then perpendicular slope shall be negatively inverse:
[tex]\sf perpendicular \ slope = -(m)^{-1} \quad = \quad -(\dfrac{3}{5} ) ^{-1} \quad = \quad -\dfrac{5}{3}[/tex]
Answer:
D
Step-by-step explanation: i got it right
A food tank has 3600 boxes of food. The boxes will be loaded equally into 60 trucks. How many boxes of food will be on each truck? Please in in a rush (19 points) please anyone!! I just need a equation.
Answers
Answer:
x = 60
Step-by-step explanation:
Discussion
You have 3600 boxes and 60 trucks
The formula you want is
Total Boxes = Number of trucks * number of boxes per truck.
Givens
Total boxes = 3600
Total trucks = 60
Solution
3600 = 60 * x Divide by 60
3600/60 = 60x/60
x = 60
What is the value of y in the solution to the system of equations?
x+y=1
2x - 3y = -30
O-8
O-3
O 3
08
Answers
Answer:
y=6.4
Step-by-step explanation:
The solution is in the image
The system of equations are solved and the value of y = 32/5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
x + y = 1 be equation (1)
2x - 3y = -30 be equation (2)
Multiply equation (1) by 2 , we get
2x + 2y = 2 be equation (3)
Subtracting equation (2) from equation (3) , we get
5y = 32
Divide by 5 on both sides , we get
y = 32/5
Hence , the equation is solved and y = 32/5
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Round your answers to the nearest tenth.
B
a
15
b
47°
B =
a =
b =
Answers
Answer:
B = 43°
a = 11.0
b = 10.2
Step-by-step explanation:
The relationship between side lengths and trig functions in a right triangle is summarized in the mnemonic SOH CAH TOA. It tells you, for example, ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
__
Applied to this triangle, the unknown sides can be found from ...
sin(47°) = a/15
a = 15·sin(47°) ≈ 11.0
and
cos(47°) = b/15
b = 15·cos(47°) ≈ 10.2
__
The second acute angle in a right triangle is the complement of the first:
B = 90° -47° = 43°
Line AZ is tangent to circle V. What is the measure of angle YWZ?
Answers
Answer: 54 degrees
Step-by-step explanation:
Since AZ is tangent to circle V, it forms a 90 degree angle with the circle. If you compare XW with AZ, you can see they are perpendicular to each other. Angle W has already been found, and it's 36 degrees.
So if you subtract 90 by 36, it gives you YWZ, 54 degrees.
Please help me thanks!
Answers
Answer:
The Surface area will double and the volume will triple.
Step-by-step explanation:
This is because the dimensions will cause the shape to double in surface area and triple in volume as surface area is in a two-dimensional space while volume is in a 3-dimensional plane.
Answer:
See below ~
Step-by-step explanation:
Subpart (h) :
⇒ By doubling the dimensions of a rectangular prism, the surface area becomes 2 times the original value
===========================================================
Subpart (i) :
⇒ By doubling the dimensions of a rectangular prism, the volume becomes 8 times the original value
Question 11 of 25
Does this table represent a function? Why or why not?
X
y
2
1
4
3
6
3
8
4
10
6
A. Yes, because all of the x-values correspond to one or more
y-values.
B. No, because one x-value corresponds to two different y-values.
C. Yes, because every x-value corresponds to exactly one y-value.
Answers
Answer: Let's put the chart into ordered pairs:
(x, y)
(2,1)
(3,4)
(3,3)
(4,2)
(5,5)
In bold, we see that there are two y-values at x=3. This means that this relation fails the vertical line test (two points on the same verticle line). This is not a function.
The answer options may be mis-written.
The answer is no, because one x value corresponds to more than one y-value.
Have a great day!
and night..
;).
Step-by-step explanation:
Need help asap please explain
The sum of the first six terms of the geometric sequence 1, 2, 4, 8, ... is equal to the sum of
the first six terms of an arithmetic sequence that also has 1 as its first term. What is the
fifth term of the arithmetic sequence?
Answers
Answer:
Step-by-step explanation:
sum of first six terms of given G.P.=1+2+4+8+16+32=63
let d be c.d. of A.P.
first six terms are 1,1+d,1+2d,1+3d,1+4d,1+5d
1+1+d+1+2d+1+3d+1+4d+1+5d=63
6+15d=63
15d=63-6=57
divide by 3
5d=19
d=19/5=3.8
fifth term=1+4d=1+3.8*4=1+15.2=16.2
Question 6(Multiple Choice Worth 5 points) (06.03 LC) What happened to Gautama after he sat under a fig tree and meditated for several weeks? He discovered ahimsa. He became a vegetarian. He founded Jainism. He was enlightened.
Answers
Answer: B
Step-by-step explanation: hope this helps
Answer:
He was enlightened
Step-by-step explanation:
There was a list of things he did to become Buddha
Lives like a prince
Is depressed by the suffering he sees outside the palace
Is impressed by how contented a holy man is
Decides to give up a life of pleasures and comforts
Wanders across India looking for the end of suffering
Sits down under a tree and meditates for several weeks
Gains enlightenment
7,14,15,9,11,14,11,10,17 what is the mode of the list of numbers?
Answers
Answer:
the answer is 11 because there are so many no. repeating so in this case we count total no of terms and say it n if terms are odd then mode
Step-by-step explanation:
mode = n+1÷2
stuck on these two questions.. finding the indicated limit
Answers
Answer:
1: The limit doesn't exist
2:
Step-by-step explanation:
Question 1:
f(x) = x + 10 for when x approaches 8
18 = 8 + 10 which is NOT true x < 8 18 < 8
f(x) = 10 - x for when x approaches 8
2 = 10 - 8 which is NOT true x ≥ 8 2 ≥ 8
Question 2:
f(x) = 5 - x for when x approaches 5
0 = 5 - 5 which is TRUE x < 5 0 < 5
f(x) = 8 for when x approaches 5
which is NOT x = 5 8 = 5
f(x) = x + 3 for when x approaches 5
8 = 5 + 3 which is TRUE x > 5 8 > 5
a ball is dropped from a height of 6 metres. suppose the ball rebounds 2/3 of the height from which it falls. find total distance travelled by ball
Answers
Answer:
10 meters.
Step-by-step explanation:
We know the ball travelled a distance of at least 6 meters as that is how far it was dropped.
It rebounded 2/3 of 6 meters, which is 4 meters.
6 meters add 4 meters is 10 meters.
which transformation would take figure a to figure b
Answers
If you please tell me what this I will give 15 points and of thanks!
Answers
Answer:
y = x+8
Step-by-step explanation:
You find the difference between the value of y and value of x which is 8 so no matter what x is you always add 8 to get the y value. :)
Answer:
y = x + 8
Step-by-step explanation:
Find the difference between each x and y-value :
Let's take the pair (18, 26)
y = x + _26 = 18 + __ = 89x^2+4y÷z when x=2/3, y=3, and z=6
Answers
Explanation: Fill in the variables with numbers.
9(2/3)^2 + 4(3) divide 6
Use PEMDAS.
Answer:
6
Step-by-step explanation:
[tex]\text{From the question...}\\9x^2 + 4y \div z\\x = \frac{2}{3}\\y = 3\\z = 6\\\\\text{Substitute in values}\\9(\frac{2}{3})^2 + 4(3) \div (6)\\\\\text{Following the rules of BODMAS or PEMDAS}\\9(\frac{4}{9}) + 12 \div 6\\4 + 2\\6[/tex]
can someone help me with this question?
Answers
Answer: The sample of the survey was 3000 teenagers
The population of the survey was teenagers across the state
Step-by-step explanation:
"3000 randomly selected teenagers"
"3000 randomly selected teenagers across the state"
What is the volume of this object?
Top View
2u
2u
pls I need help lol
Answers
Answer:
15 u³
Step-by-step explanation:
Volume = width × length × height
Given:
width = 2ulength = 2 ¹/₂ uheight = 3u⇒ Volume = 2u × 2 ¹/₂ u × 3u
= 15 u³
[tex]\underline{\tt{❖ \: Given \: \: ❖}}[/tex]
[tex] \sf \: length =2 \dfrac{1}{2}u[/tex][tex] \sf \: width =2u[/tex][tex] \sf \: height =3u[/tex]given figure
[tex] \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \\ \: \: \: \: \: \: \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \sf \: 2u \\ \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \\ \sf \: 2 \dfrac{1}{2}u[/tex]
[tex]\underline{\tt{❖ \: To \: find \: ❖}} [/tex]
volume of this object[tex]\underline{\tt{❖ \: Using \: formula \: ❖}} [/tex]
[tex] \sf \: volume = width \times length \times height[/tex][tex]\underline{\tt{❖ \: Solution \: ❖}} [/tex]
we have,
[tex]\sf \: volume = width \times length \times height[/tex]
[tex]\sf \: volume = 2u \times 2 \dfrac{1}{2}u \times 3u[/tex]
[tex]\sf \: volume = 2u \times \dfrac{5}{2}u \times 3u[/tex]
[tex]\sf \: volume = \cancel2u \times \dfrac{5}{ \cancel2}u \times 3u[/tex]
[tex]\sf \: volume = u \times 5u \times 3u[/tex]
[tex]\sf \: volume = 15u {}^{3} [/tex]
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Which graph represents the solution set of this inequality? -2x + 7 < 23
Answers
Answer:
-2x < 23-7
-2x < 16
-2x÷-2 < 16 ÷ -2
x > -8
Solve for x. Round your answer to the nearest tenth if necessary.
Answers
Answer:
15.9
Step-by-step explanation:
x^2 + 6^2 = 17^2
x squared + 36 = 289
-36 -36
x squared = 253
[tex]\sqrt{x}[/tex] = [tex]\sqrt{x}[/tex]253
x = 15.9
Answer:
18.0
Step-by-step explanation:
17^2+6^2= 289 + 36=325
The square root of 325 is 18.02 and when you round 18.02 to the nearest tenth it would give you an answer of 18.0.
Did I solve this problem correctly?
Answers
Answer:
yes
Step-by-step explanation:
I NEED HELP ASAP PLEASE
Answers
Answer:
10, 20, 15
Step-by-step explanation:
10 is the lowest so that leaves the mean and range well the range is the highest value minus the lowest and the range is 10 so 20-10=10
so we now have 10 and 20 so then what number divided by three as in three darts equals 15 I go down the list and I get 45/3 and it equals 15
A farm has an area of 5 km²
The farmer must pay 1p tax for each m² of land he owns.
Find the amount of tax the farmer must pay.
Answers
Step-by-step explanation:
1 km² = 1km×1km = 1000m × 1000m = 1000000 m²
5 km² = 5000000 m²
so, he has to pay 5000000p as tax.
The amount of tax the farmer must pay is 50000 Rupees.
What is tax ?A compulsory contribution the government has levied on people's income is called the tax , It is of various types and the money accumulated from that is used for the development of the nation.
It is given that the farmer has an area of 5 km²
The farmer must pay 1p tax for each m² of land he owns.
5km² = 5 * (1000)² m²
Area = 5 *10⁶ m²
The amount of tax the farmer needs to pay is
= 1* 5* 10⁶
= 5000000 p
100p = 1 rupees
= 50000 Rupees
Therefore the amount of tax the farmer must pay is 50000 Rupees.
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Find the volume of a pyramid with a square base, where the area of the base is 5.5\text{ cm}^25.5 cm
2
and the height of the pyramid is 6.4\text{ cm}6.4 cm. round your answer to the nearest tenth of a cubic centimeter.
Answers
Answer:
17.3 cm³
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = 1/3Bh
where B is the area of the base, and h is the height.
__
The volume of a square pyramid with base area 5.5 cm² and height 6.4 cm is ...
V = 1/3(5.5 cm²)(6.4 cm) ≈ 17.333... cm³
The volume of the pyramid is about 17.3 cm³.
Find the volume for this figure. Use 3.14 for (pie)
A)1,656 mm
B) 1,092 mm
C) 1,250 mm
D) 1,800 mm
Answers
Answer:
the andswer there is D
Step-by-step explanation:
just think of it as a cylinder and a square
put both circular parts together and you have a cylinder with the diameter of 12 and a height of 7 and find the volume of that which is πr²h so π 6² 7
then the volume of your rectangular prism is the length times width times height so 12 by 12 by 7