Answers
Answer:
x = 5.5
Step-by-step explanation:
Using a trig ratio, you can use sin, which is opposite over hypotenuse. [tex]sin(30)\textdegree=\frac{x}{11}[/tex]
Now, multiply both sides by 11
[tex]11\cdot sin(30)\textdegree=x[/tex]
this simplifies to x = [tex]\frac{11}{2}[/tex] or 5.5.
Since sin30 is [tex]\frac{\pi}{6}[/tex] radians, it can be written as [tex]\frac{11\pi}{6}[/tex].
Related Questions
The diameter of a circle is 36 meters. What is the circle's area? Use 3.14 for .
Answers
Answer:
1017.36 m²
Step-by-step explanation:
Info:
Diameter: 36m
π: 3.14
---
If the formula for area of circle is: A = πr², and the radius is 18 (half of 36)
Then to find the area, we just multiply π with 18².
18 x 18 = 324.
324 x 3.14 = 1017.36
The area of the circle is 1017.36 m²
Hi Student!
The first step to most problems is to determine the important information that is provided in the given problem statement. In this problem we can see that we are given a diameter of a circle which is 36 meters. Another important thing that we can determine is that the question is asking for us to find the area of the circle using 3.14 for π.
Now that we have collected our important information we can move onto the next step which isn't to find the area yet. First, we need to determine what the radius of our circle is.
Determine the radius
[tex]radius=\frac{diameter}{2}[/tex][tex]radius=\frac{36\ m}{2}[/tex][tex]radius=18\ m[/tex]Now, we can finally plug in our values into the area of a circle equation and solve. The only thing that we need to find the area is the radius which we determined from the previous step.
Plug in the values
[tex]area = \pi * radius^2[/tex][tex]area = 3.14 * (18\ m)^2[/tex]Expand the exponent
[tex]area = 3.14 * (18\ m * 18\ m)[/tex][tex]area = 3.14* 324\ m^2[/tex]Multiply the final two numbers
[tex]area = 1017.36\ m^2[/tex]Therefore, the area of a circle with a diameter of 36 meters is 1017.36 meters squared.
2. Solve for x.
(6x + 4)º
44°
Answers
6x + 4 = 136
Subtract 4 from both sides so
6x = 132
Divide both sides by 6
X=12
[tex]~~~~~(6x+4) +44 = 90\\\\\implies 6 x+ 48=90\\\\\implies 6x = 90-48\\\\\implies 6x = 42\\\\\implies x= \dfrac{42}6\\\\\implies x = 7[/tex]
4(10b-4)
Explain please
Answers
Work Shown:
4(10b-4)
4*10b - 4*4
40b - 16
I multiplied the outer term 4 by each term inside. Refer to the distribution property (aka distributive property).
Answer:
40b - 16
Step-by-step explanation:
4 (10b - 4)
= (4*10b) - (4*4) [distributive property]
= 40b - 16
Hope it helps ⚜
WILL GIVE BRAINLIEST 25 POINTS
What is the perimeter of this rectangle?
Answers
Answer:
6√17 units
Step-by-step explanation:
A property of rectangles is that their opposite sides are equal in length.
Hence, to find the perimeter :
AB + BC + CD + DA2(AB) + 2(BC)2(AB + BC)Finding AB by applying distance formula :
AB = √(1 + 3)² + (4 - 3)²AB = √4² + 1²AB = √16 + 1AB = √17Finding BC :
BC = √(3 - 1)² + (-4 - 4)²BC = √2² + (-8)²BC = √4 + 64BC = √68BC = 2√17Perimeter :
P = 2(AB + BC)P = 2(√17 + 2√17)P = 2(3√17)P = 6√17 unitsWhat is the mean of the values in the stem-and-leaf plot?
Enter your answer in the box.
Key: 2|5 means 25
A stem-and-leaf plot with a stem value of 1 with leaf values of 5 and 8, a stem value of 2, a stem value of 3, a stem value of 4 with a leaf value of 6, a stem value of 5 with leaf values of 0, 0, 0, 0, 7, a stem value of 6, a stem value of 7, a stem value of 8, and a stem value of 9.
Answers
The stem and leaf plot represents the numbers 15, 18, 46, 50, 50, 50, 50, 57. To find the mean, add these up (336) and divide by the number of data points (8). The mean is 42.
What is the area of a rectangular prism if the length is 12 inches, width is 7 inches and the the height is 3 inches.
Answers
Find m/H.
126⁰
F G
m/H=
(6x - 1)
H
(5x +17)
Answers
Answer:
59 degrees
Step-by-step explanation:
180 - 126 = 54
6x-1 + 5x + 17 +54 =180
11x + 70 = 180
11x = 180 -70
11x = 110
x =10
Therefore
6(10) - 1 = 59 degrees
On a snow day, Savannah created two snowmen in her backyard. Snowman A was built to a height of 27 inches and Snowman B was built to a height of 49 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 2 inches per hour and Snowman B's height decreased by 4 inches per hour. Let A represent the height of Snowman A t hours after sunrise and let B represent the height of Snowman B t hours after sunrise. Write an equation for each situation, in terms of t,t, and determine the interval of time, t, when Snowman A is taller than Snowman B.
Answers
Answer:
A= -4t+43
B=-2t+33
Snowman A is taller than snowman B when t < 5 hours
The record high temperature on January 15 is 41°F. The record low temperature on that day is -16°F. What is the difference in the record temperatures?
Answers
one way to recognize a line of symmetry is to look for a line that divides the original image into?
Answers
Answer:
Half
Step-by-step explanation:
by dividing in half, it shows both sides are equal/symmetric
hope this helps:)
Answer:
[tex]\huge\boxed{\textbf{Two\ identical\ halves}}[/tex]
Step-by-step explanation:
Symmetry:
When something (an object) is identical on both sides when cut into half or quarter (or any other symmetry), we call the object to be symmetric.Line of symmetry:
The line which cuts an object into two identical parts is called a line of symmetry.[tex]\rule[225]{225}{2}[/tex]
can anyone help me find the area pls ty
Answers
Answer:
42 in^2
Step-by-step explanation:
The given is a parallelogram and to calculate the area of a parallelogram we multiply its height and base
The height here is given as 6in and base is 7in
7*6 = 42, the area is presented in square units so the answer is 42 in^2
Someone help please
Answers
Answer:
32
Step-by-step explanation:
ok if it was a normal rectangle =
8 x 6
but the middle part takes 4 from the middle
since there are 2 rectangle
4/2 = 2
since there are lines
6 x 2 = 12 + another 12 since the rectangle on the bottom is the same as the top
24 + ...
6 - 4
2 x 4 = 8
24 + 8 =
32
At a water park, 2,820 out of 6,000 tickets sold were child tickets. What percentage of the
tickets were child tickets?
Answers
Answer:
30%
Step-by-step explanation:
Do 6,000 minus 2,820 which we get 3,180. The 3 is in 30% so 30 is your answer with the percentage sign.
It takes 0.5 gallon of cream to make 1 pound of butter. How much cream would you need to make 2.5 pounds of butter?
Answers
so we know 0.5 gallons makes 1 pound, and we know that there are at least 2 pounds of butter made.
so we know that there is 1 full gallon of cream used.
however, there is also .5 pounds of butter, so we need to find out the other half.
to do this, we need to split the .5 gallons of cream in half, making 0.25
then, we add 1 + 0.25 gallons to equal 1.25 gallons of cream needed to make 2.5 pounds of butter
Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove?
3.52 (22 minus n) = 0.24
StartFraction 22 minus n Over 3.52 EndFraction = StartFraction 24 Over 100 EndFraction
StartFraction 3.52 Over 22 minus n EndFraction = StartFraction 24 Over 100 EndFraction
3.52 + (22 minus n) = 0.24
Answers
The equation that he can use to find n, the number of gallons of water he should remove is; (3.52)/(22 - n) = 24/100
How to Calculate Chemical quantities?Let us first find the amount of ammonia in 22 gallons of 16% ammonia solution.
This gives;
Amount = 16% * 22 gal
Amount = 3.52 gal
Now, the amount of ammonia remains the same after the water evaporates, but the total amount of solution will reduce by the amount of water that evaporates.
Amount of ammonia = 3.52 gal
Amount of water that remains = 22 - n
Desired concentration = 24% = 24/100
Thus, the equation is;
(3.52)/(22 - n) = 24/100
Read more about Chemical Quantities at; https://brainly.com/question/26150306
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Find an equation for the line that passes through the points (-5,-6) and (1,3).
Answers
Answer:
y=3/3x+3/2
Step-by-step explanation:
(-5,-6)(1,3)
x1y1 x2y2
y2-y1/x2-x1
m=3/2
b=3/2
Calculate the distance between the points (7, 4) and (-5, -3).
Answers
Answer:
D = √193 units
or
D = 13.892 units
Step-by-step explanation:
Given:
(7, 4) and (-5, -3)
Calculate the distance
Solution:
[tex] \rm \: Distance (D) = \sqrt{( x_{2} - x_{1}) {}^{2} + (y_{2} - y_{1) {}^{2} }} [/tex]
Now, substitute the values given:
[tex] \rm \: D = \sqrt{ \{( - 5) - 7 \}^{2} + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]
[tex] \rm \: D = \sqrt{ \{12 \}^{2} + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]
[tex] \rm \: D = \sqrt{ 144 + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]
[tex]\rm D = \sqrt{144 + \{ 7\}{}^{2} } [/tex]
[tex] \rm \: D = \sqrt{144 + 49} [/tex]
[tex] \boxed{\rm \: D = \sqrt{193}} [/tex]
[tex] \boxed{\rm \: D =13 .892}[/tex]
Thus, Distance between the two given points will be √193 or √13.892 units.
Answer:
[tex]\bf \sqrt{193}[/tex] units or 13.9 units is the distance.
Explanation:
[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}[/tex]
Given points: (7, 4) and (-5, -3)
Identify following:
[tex]\sf x_2= 7[/tex], [tex]\sf x_1 = -5[/tex], [tex]\sf y_2 =4[/tex], [tex]\sf y_1 =-3[/tex]
Find distance:
[tex]\rightarrow \sf \sqrt{(7 - (-5))^2 + (4 - (-3))^2} \quad = \quad \sqrt{144+49} \quad = \quad \sqrt{193} \quad \approx \ 13.9[/tex]
In figure below points T,R,X,Y and Z
Answers
Answer:
a
Step-by-step explanation:
I have a question about this please see attachment
Answers
Answer:
[tex]\boxed{\bf x \geqslant 6}[/tex]
Step-by-step explanation:
Given:- g(x)=√(x - 4) and h(x) = 2x - 8
Find:- What're the restrictions on the domain of g•h.
______________________________
[tex]\bf g.h = \sqrt{(2x - 8) - 4} [/tex][tex]\bf g.h = \sqrt{2x - 12} [/tex][tex]\bf 2x - 12 \geqslant 0[/tex][tex]\bf 2x \geqslant 12[/tex][tex]\bf \cfrac{2x}{2} = \cfrac{12}{2} [/tex][tex]\bf x \geqslant 6[/tex]«••••••••••••••«»•••••••••••••»
A change purse contains a total of 35 nickels and dimes. The total value of the coins is $2.25
How many coins of each type does the purse contain?
Answers
Answer: 25 nickels
10 dimes
Step-by-step explanation:
Find the exact value of x.
Answers
Answer:
here is the exact value of x=16
Identify the polygon
find the perimeter
with vertices P (2,-2) Q (4,2), R (6,2), and S (4, -2). and then
and area of the polygon.
Answers
Answer:
Perimeter is about 12.95 /// Area = 8
Step-by-step explanation:
Help I can’t figure
Which one represents y as a function of x.
Answers
Answer:
the graph
Step-by-step explanation:
The statement "*Remember ..." tells you how to identify the functional relations.
__
In the top diagram, each x-value maps to more than one y-value. Effectively, that means x is repeating (not a function).
In the set of ordered pairs, the value 3 shows up as an x-value more than once. It repeats (not a function).
In the graph, each value of x is shown as corresponding to exactly one value of y. The graph shows y as a function of x.
On the mapping one
0 has two ranges i.e 0 and 12
As it doesn't has unique range it's not a functionWhere as in the graph
Every x has unique y f(x)=yGraph represents a function
The table below shows the relationship between m and p, where the independent variable is p.
р
12
20
38
36
מח
m
3
3
5
7
9
9
What equation represents the same relationship?
m=p-9
B
p=m-9
ma
װ==p
Answers
Answer:
C
Step-by-step explanation:
P is an independent variable, therefore making M a dependent variable.
B and D are not it.
When plugging in P in choice A, M has a different answer than in the list.
A is not it.
When pluggin in P in choice C, M has the same answers as in the list.
C is the answer
An experiment was conducted to test the effect of a new cholesterol medicine. Fifteen people were treated with medicine X and 15 with medicine Y for a month; then the subjects' cholesterol level was measured. A significance test was conducted at the α = 0.01 level for the mean difference in cholesterol levels between medicine X and medicine Y. The test resulted in t = 2.73 and p = 0.003. If the alternative hypothesis in question was Ha: μX − μY ≠ 0, where μX equals the mean cholesterol level for subjects taking medicine X and μY equals the mean cholesterol level for subjects taking medicine Y, what conclusion can be drawn?
Answers
Considering the hypothesis tested and the p-value of the test, the correct option is given by:
There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference between the cholesterol levels, that is:
H₀:Hₓ-H
At the alternative hypothesis it is tested if there is a difference, hence:
H₀:Hₓ-H≠0
The p-value is of 0.003 < 0.01, hence we reject the null hypothesis and conclude that there has was a difference, hence the correct option is given by:
There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.
More can be learned about hypothesis tests at brainly.com/question/26454209
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(3x4 + 2x3 − x2 + 2x − 14) ÷ (x + 2)
Answers
Answer:3x^3-4x^2+7x-12+10/x+2
Step-by-step explanation:
Answer:
x1 ~ -1.8
x2 ~ 1.30
Step-by-step explanation:
[tex]\frac{x(x(x+1)(3x-1)+2)-14}{x+2}[/tex]
2 3/4 miles in 2/3 of an hour enter number of miles she can jog in 3 hours
Answers
Which equation represents this ellipse?
answer d
y^2/25+x^2/4=1
Answers
We can find the equation that represent the equation of ellipse we can identify by the major axis and minor axis, and center.
What is ellipse?An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.
We have equation of ellipse:
[tex]\rm \dfrac {y^2}{25}+\dfrac{x^2}{4}=1[/tex]
[tex]\rm \dfrac {y^2}{5^2}+\dfrac{x^2}{2^2}=1[/tex]
Here a = 5, and b = 2
Major axis is 2a = 2(5) = 10
Minor axis is b = 2(2) = 4
Here a graph is not given, if
Thus, we can find the equation that represent the equation of ellipse we can identify by the major axis and minor axis, and center.
Learn more about the ellipse here:
https://brainly.com/question/19507943
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What is the function equation for the input/output table?
Answers
Answer:
y = x - 8
Step-by-step explanation:
I plugged iin for the values and checks out.
Hope this helps!
This is a program for development that lists what an athlete hopes to do in order to meet their goals.
A. Feedback
B. Action Plan
C. none of these
D. Area for improvement
Answers
Answer:
B. Action PlanStep-by-step explanation:
#hope it helps!
Answered by ReyvREYV111