Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator
is in degree mode!
541
9
Answer:
12.4
Step-by-step explanation:
using x= 9tan54 the results is 12.38743728 but 12.4 to the nearest tenth
The equation of a circle is x2 + y2 + 2x - 10y - 38 = 0. What are the coordinates of the
center and the length of the radius of the circle?
Answer:
Centre = (-1, 5)
radius = 8units
Explanation
The standard form of the equation of a circle is expressed as
x^2+y^2+2gx+2fy+C = 0
Center = (-g, -f)
radius = √g²+f²-C
Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.
On comparing
2gx = 2x
2g = 2
g = 2/2
g = 1
2fy = -10y
2f =-10
f =-5
Centre = (-1, -(-5)) = (-1, 5)
radius = √1²+5²-(-38)
radius = √1+25+38
radius = √64
radius = 8units
In △XYZ, m∠X = 27° and m∠Y = 48°. Which gives the sides of the triangle in order from shortest to longest?
Answer:
YZ , XZ , XY
Step-by-step explanation:
first lets find angle Z
angle x + angle y + angle z=180 degree (being sum of interior angles of a triangle)
27 + 48 + angle z=180
75 + angle z=180
angle z =180-75
angle z =105 degree
side YZ is the shortest one because the side opposite to the smallest angles is shortest in side.Then ,XZ is shortest in side because the side opposite to the smallest angle is shortest in side.Since angle z is largest angle so the side opposite to angle z will be the longest side i.e XY
first YZ then XZ and XY.
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
How much of the 15% alcohol solution should Bruce use?
Answer:
10% = 30 15% = 20
Step-by-step explanation:
_
SOMEONE HELP PLS IM STUCKKKK
Answer:
111 =x
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
29+82 = x
111 =x
Answer:
Step-by-step explanation:
Since all the angles in a triangle add up to 180, you would need to add up the 2 values you have to get the third:
∠3 = 180-82-29
= 69 degrees
Now you have to subtract this value from 180 because a straight line is 180 degrees:
∠x = 180-69
∠x = 111°
Hope this helps!
In an ecological study, the sampling mean proportion is 0.28 and the sample size is 50. What is the margin of error with a confidence level of 95%?
The margin of error is 0.1245 (approx) with a confidence level of 95%.
What is margin of error ?Margin of error is a statistic which is expressing the measurement of random sampling error in the results of a survey.
Margin of error = [tex]z^{*}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
where [tex]z^{*}[/tex] is the value for confidence level or quantile,
p is the sampling mean proportion and n is the sample size.
How to find margin of error in given problem ?Here, The sampling mean proportion(p)= 0.28
The sample size(n)= 50
Confidence level = 95%
Hence Value for 95% confidence level ([tex]z^{*}[/tex])= 1.96
∴ Margin of error = [tex]1.96[/tex][tex]\sqrt{\frac{0.28(1-0.28)}{50} }[/tex]
= [tex]1.96[/tex][tex]\sqrt{\frac{0.28*0.72}{50} }[/tex]
= [tex]1.96\sqrt{\frac{0.2016}{50} }[/tex]
= [tex]1.96\sqrt{0.004032}[/tex]
= [tex]1.96[/tex]×[tex]0.0635[/tex]
= [tex]0.1245[/tex] (approx)
So, The margin of error is 0.1245 (approx).
Learn more about margin of error here :
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OASIIO - II - TWO WAY POWER CIENTIFIC CALCULATOR S-A.AKR 국 2401 . 0
Answer:
I can't understand !!!!!!!!!
pls help me with this maths equation
Answer:
Step-by-step explanation:
given :
y = 120 degree
z = 57 degree
angle x = ?
first lets find angle c in triangle BDC
angle c + z = y (sum of two interior opposite angle is equal to the exterior angle formed)angle C + 57 = 120
angle C = 120 -57
angle C = 63 degree
Now lets find angle B in triangle BDC
angle B + angle C + z = 180 degree (sum of interior angles of a triangle)
angle B + 63 + 57 = 180
angle B + 120 = 180
angle B = 180 - 120
angle B = 60 degree
now for angle x
angle B + z = angle x (sum of two interior opposite angles is equal to the exterior angle formed)
60 + 57 = x
117 = x
Please help me! Thank you
Step-by-step explanation:
5⁰= 1
2–3 means 1/2³
1/8
=0.125
what is the angle of elevation of the sun when a 47 -ft mast casts 33ft shadow?
Answer:
care
Step-by-step explanation:
i dont know
y=-3x+3
X. y
-4
-2
0
2
Answer:
y/3
Step-by-step explanation:
y=-3x+3
3=3x-y
3/3=3x/3-y/3
What is it yalll !??????
Answer:
I think b
Step-by-step explanation:
Answer:
As x reaches negative infinity y reaches negative infinity
Step-by-step explanation:
So, first off, when looking at graphs, there will always be a infinite end behavior.
This is because either the x or y axis can be set to a infinitly large number.
We can instantly set up a 2 things for this graph.
We see that y NEVER reaches postive infinity. This is because both left and right sides of the graph have downwards slopes.
This removes our second answer, because it is postive infinity for y.
It also removes our first answer, since it is just 5 for y, notn negative infinity.
Finally, it removes our third answer, since it is just 7 for y, not negative infinity.
This leaves D.
D is correct since y reaches negative infinity when x reaches both postive and negative infinity.
D says x is negativly infinite, which fits this.
So D is our answer.
Hope this helps!
Which line of best fit is the best choice for the data given below?
Which describes the correlation shown in the scatterplot
Jake volunteers to help out his younger brother's basketball team in his free time. One of his tasks is to ensure that all the basketballs have enough air in them. Given that a properly inflated basketball measures 8.8 inches across, what is the total volume of air inside six of Jake’s basketballs? Assume that the wall of each ball is infinitely thin.
Answer:
The volume is 2140.98 inches
Hope this helped!
Answer:
681.47 π cubic inches
Step-by-step explanation:
Help me please ASAP tysm
Answer:
2/3 ft
Step-by-step explanation:
area of triangle =base*height/2
2/5=base*6/5/2
2/5 *2 =base * 6/5
4/5 =base*6/5
4/5÷6/5=base
4/5 * 5/6=base
20/30=base
2/3=base
therefore base=2/3 ft
I told you I was not smart :[
Answer:
Attached below
Step-by-step explanation:
Trapezoid: Opposite side are parallel in trapezium.
So, opposite sides are parallel in all given quadrilateral except second.
Therefore, attached figure is not trapezium.
Answer:
.........
Step-by-step explanation:
SHOW WORK PLEASE
Marion and her friends are driving to see a concert at the stadium, a trip of 145 miles. They drive for 2 hours at a steady rate of 40 miles per hour and then stop for gasoline. How much further do they have to travel to arrive at the stadium?
Answer:
65
Step-by-step explanation:
Since they drove for 2 hours at an average rate of 40 miles per hour, they've travelled [tex]40\cdot 2=80[/tex] miles so far. Therefore, they still have [tex]145-80=\boxed{65}[/tex] miles to go.
Answer:
65
Step-by-step explanation:
Since u traveled for 2 hours at 40 miles per hour, you have traveled for 80 miles. Then u subtract the total miles, 145 by 80
145-80
= 65 more miles
What is the exact value of the trigonometric ratio of tan-240 degrees?
I need help fast!!!!!!!!!!
Which equation could be used to find x in AABC? *
A
10
320
B
Answer:
Step-by-step explanation:
x is the length of the side opposite the reference angle of 32, and 10 is the side length adjacent to the reference angle. This satisfies the tangent ratio where
[tex]tan32=\frac{x}{10}[/tex] and solving for x:
x = 10tan32
The students at Riverview High School were asked to vote on their preference for new school colors. The school principal was interested to see how the student-athletes might vote differently from the students who are not athletes. The table shows the results of the vote. What percent of the student-athletes voted for red and gold as the new school colors? Round your answer to the nearest whole percent. 27% 42% 51% 67%
Answer: %27
Step-by-step explanation: 90/338 x/100
90x100=9000
9000/338=%27
Which expression is equivalent to Cube root of 125 x Superscript 6 Baseline y Superscript 15 Baseline z cubed?
5x3y3z
5x2y5z
25x2y3z
25x2y5z
Answer:
answer is B
Step-by-step explanation:
Answer:
it really is B.5x2y5z
Step-by-step explanation:
got it right on edge
Question 7 (5 points)
Which ordered pair is a solution to the system of inequalities?
A) (0,5)
B) (4,-1)
C) (-4,0)
D) (1,3)
Answer:
I think the answer b not sure tho
If you flip a coin 50 times, what is the best prediction possible for the number of times it will land on tails?
Answer: 25
Step-by-step explanation: 50 divided by 2 is 25
What is the length of the hypotenuse of the right triangle in the diagram?
Answer:
it's hypotenuse will be -8
it refers to the number of times an observation occurs or appears in a data set
Given the triangle below, what is the measure of x to the nearest foot?
Answer:
18 ft
Step-by-step explanation:
Since the triangle is right angled ; we could use trigonometry ;
Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x
Cos θ = Adjacent / hypotenus
Cos 40 = 14 / x
0.7660444 = 14 / x
0.7660444x = 14
x = 14 / 0.7660444
x = 18.27
= 18 ( nearest foot)
I don’t know how to do these questions so help plz
Answer:
the anser is no.b that is 30°
Answer:
90°
Step-by-step explanation:
There's are supplementary angles at point C. These are two angles that add up to 180°. We know this because a straight line makes 180° on both sides. Since we know that the first angle is 150°, we can determine the angle a point C is 30°. This is shown by:
180-150=30
So now we know 1 angle and the other two angles are put into like terms (in this case, multiples of x). It is known that the sum of all angles in a triangle equates to 180°. Using this information we can set up a simple equation.
[tex]3x+2x+30=180[/tex]
Combining like terms, we get:
[tex]5x+30=180[/tex]
Isolating x, we get:
[tex]5x=150[/tex]
Dividing both sides by 5, we get:
[tex]x=30[/tex]
So now we can use this x-value to determine the angle that is being asked. It is shown that angle ABC is equal to 3x. Using the x value we just calculated, we get a final answer of:
[tex]3x=3(30)=90[/tex]
Therefore, the answer is 90°. Hope this helps!
Someone helpp plzzzzzz