Answers
Step-by-step explanation:
c² = a² + b² - 2ab cosC
or, c² = 22² + 27² - 2(22)(27) cos105
or, c² = 484 + 729 - 1188 (cos105)
or, c² = 1520.48
so, c = 38.99
so, c = 39 ft. approximately (missing side)
Related Questions
1) What are the next three terms in these sequences?
a) 126 122 118 114 110
b) -1 3 7 11 15
c) 1 3 9 27
D) 80 20 5 1.25
Answers
Answer:
Step-by-step explanation:
a) 126 122 118 114 110, 106, 102, 98
Hint: ( Subtract 4 from each numbers to get the next)
b) -1, 3 , 7, 11 , 15, 19, 23, 27
Hint: ( Add all through by 4)
c) 1, 3, 9, 27, 81, 243, 729
Hint: ( Multiply through by 3)
d) 80, 20 , 5, 1.25, 0.3125, 0.078125, 0.0195
Hint; (Divide all through by 4)
A normal distribution (X) has a mean of 100 and a standard deviation of 10.
What is the probability that X will be smaller than 80?
Use the Normal Table and keep all 4 decimal positions in your answer.
Answers
Using the normal distribution, it is found that there is a 0.0228 = 2.28% probability that X will be smaller than 80.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of [tex]\mu = 100[/tex].The standard deviation is of [tex]\sigma = 10[/tex].The probability that X will be smaller than 80 is the p-value of Z when X = 80, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80 - 100}{10}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228.
0.0228 = 2.28% probability that X will be smaller than 80.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Answer this please for 15 points
Answers
Answer:
18/2 : 9
Step-by-step explanation:
In a recent year, 28% of all college students were enrolled part-time. If 7.2 million college students were enrolled part-time that year, what was the total number of college students? Round your answer to the nearest million.
Answers
Answer:
26 million
Step-by-step explanation:
x = total number in million
28% * x = 7.2
so x = 7.2/0.28 = 25.7 ≈ 26
What is the value of the missing angle?
Answers
Answer:
x=60°
Step-by-step explanation:
The Sum of all sides of a pentagon is 540°
And in the figure there are 2 sides with 150° and 90°
Now we have,
[tex]90+90+150+150+x=540\\\\480+x=540\\\\x=540-480\\\\x=60[/tex]
Find the equation of the line that contains the point (4,-2) and is perpendicular to the line y=-2x+8.
Answers
Answer:
[tex]\frac{1}{2} x - 4[/tex]
Step-by-step explanation:
Perpendicular lines will have slopes that are the multiplicative additive inverse of each other: a line with slope 3/4 is perpendicular to a line with slope -4/3, for example. You need a line that is perpendicular to a line with slope -2 (reading that from the -2 in the -2x portion of the given equation, which is written in slope-intercept form), so your new line must have slope +1/2.
With the slope and a point, we can come up with an equation using this formula:
y - y-coordinate = slope (x - x-coordinate)
So we have y - (-2) = 1/2 (x - 4).
Simplify the equation: y + 2 = 1/2 x - 2
Subtract 2 from both sides: y + 2 - 2 = 1/2 x - 2 - 2
Simplify: y = 1/2 x - 4.
You continue your journey of riding ferris wheels and decide to ride the largest ferris wheel in the world: The High Roller in Las Vegas, Nevada! The High Roller is 550 feet tall with a diameter of 520 feet and the platform making the remaining 30 feet. Your friend who really does not like heights waits for you to get off the High Roller while standing 450 feet away from you, horizontally.
Required:
If you are currently 326 feet in the air, what is the angle of depression from you to your friend?
Answers
The angle of depression from you to your friend is 54.1°
Trigonometric ratios
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let θ represent the angle between me in air and my friend, hence:
tanθ = 326 / 450
θ = 35.9 degrees
The angle of depression = 90 - 35.9 = 54.1°
The angle of depression from you to your friend is 54.1°
Find out more on Trigonometric ratios at: https://brainly.com/question/24349828
For what value of x is the rational expression below equal to zero? x_1/(X - 3)(x + 1)
Answers
Answer:
A
Step-by-step explanation:
when X = 0 then
1 - 1/ (1 - 3)*(1+1)
0/ -4
0
Please help and tell me how you solved it
Answers
Answer:
63 degrees
Step-by-step explanation:
angle B and angle D are opposite interior angles, and therefore they have the same measurements. IM NOT SURE IF THIS IS THE CORRECT EXPLANATION, I LEARNED THIS A REALLY LONG TIME AGO AND SO I KIND OF FORGOT!!! SORRY
All chi
18. How is the graph of y = 4(2}X-3 translated from the graph of
y=
= 4(2)X?
3 units up
3 units right
3 units down
3 units left
Answers
Answer:
3 units down
Step-by-step explanation: hope this helps
a diver has to dive a depth of 200.2 ft go study
Answers
Answer:
The Diver has to dive 20.02 ft at every interval.
Step-by-step explanation:
10 intervals → 200.2
1 interval → 200.2/10
1 interval → 20.02
PLEASE HELP ME OUT I NEED THIS BY TODAY THANKS
Answers
Answer:
For this, you need to click the second one.
Step-by-step explanation:
Does anyone know if the further maths gcse will be at July or June
Answers
Answer:
I think june at the earliest
Answer:
Ya and you have 2 tests i think
Which graph represents y=
y = ?
Answers
Answer:
The horizontal line is to the y-axis
It is possible to for a triangle with angles 25 degree 65 degree 90 degree
Answers
Answer:
yes. by angle sum property.
Step-by-step explanation:
did not understood the question well but hope its useful.
Dorothy wrapped 2 presents in 4 minutes. At that rate, how many
presents would she wrap in 6 hour’s
Answers
Answer:
90
Step-by-step explanation:
2 presents per 4 minutes is 30 presents per hour multiplied by 6 hours is 90 presents
Need help solving this linear equation
Answers
Answer: (-4, -7)
Step-by-step explanation: To solve this system of equations, we can use the substitution method.
To solve a system by substitution, we first need to isolate one of our variables. The problem is none of our variables has a coefficient of 1 or -1. In this situation, we have to look at our next best option.
In our first equation, add 2x to both sides to get
2y = -6 + 2x and just divide both sides by 2 to get y = -3 + x.
Now let's plug this value of y into our second equation.
So we have 3x + 7(-3 + x) = -61.
Simplifying from here:
3x - 21 + 7x = -61
10x - 21 = -61
10x = -40
x = -4
Since we know that x = -4, we can just plug a -4 into our equation that we created earlier to get y = -3 + (-4) or y = -7.
Since x = -4 and y = -7, our answer is the ordered pair (-4, -7).
Solve the equation
6x + 30 - 4 / 2
Answers
4/2 = 2
30-2= 28
6x + 28
Answer:
it's 6x+28
4 divide by 2 is 2
30 minus 2 is 28
Put together and hey 6x+28
Step-by-step explanation:
hope this helps
Rewrite this exponential equation in logarithmic form.
2x = 32
Answers
Answer:
x=16
Step-by-step explanation:
Which of the following possibilities will NOT form a triangle? Side = 5 ft, side = 15 ft, side = 3 ft Side = 5 ft side = 7 ft, side = 11 ft O Side = 8 ft, side = 6 ft, side = 4 ft O Side = 3 ft, side = 11ft, side = 9ft
Answers
Answer:
Side = 5ft Side = 15 ft side = 3 ft
Step-by-step explanation:
Show a Fraction name for 6
Answers
Answer: 6/1
Step-by-step explanation:
What is the slope of the line represented by this equation?
-3x + 8y = 12
Answers
Step-by-step explanation:
Turn the equation into a slope-intercept form equation:
[tex]8y=3x+12[/tex]
Divide each side by 8 to simplify y:
[tex]y=\frac{3}{8} x+1.5[/tex]
The slope is 3/8.
Using the format:
[tex]y=mx+b[/tex]
3/8 is in place of m, the slope.
A tortoise is walking in the desert, it walks 5 minutes at a speed of 12.5 meters per minute . For how many meters does it walk?
Answers
Answer:
62.5meteres
Step-by-step explanation:
using the formula speed =distance/time
12.5= ?/5
?= 12.5 × 5
? = 62.5 meters
Find the prime factorization of 35. I need some explanation.
Answers
Answer:
factorize(35) = 5 x 7
Step-by-step explanation:
find the slope of the line passing through each of the following pairs of points and draw the graph of the line (-1,4) -(1,3)
Answers
Answer:
Step-by-step explanation:
(-1,4) (-1,3)
formula y2-y1/x2-x1
=3-4/-1-(-1)
= -1/-2
An old road was 3.9 miles long. After a renovation it is 7.8 miles long. How many times as long is the road after the renovation than before?
Answers
Answer:
2 times. 3.9x2=7.8
Step-by-step explanation:
3+3=6
0.9+0.9=1.8
6+1.8=7.8
3.9x2=7.8
3+3=6
0.9+0.9=1.8
6+1.8=7.8
please answer number 41 and show work
Answers
please help ill do anything 12 - 5z; z=2
Answers
Answer: the answer is 2
Step-by-step explanation:
1. 5 x 2 = 10
2. 12 -10 = 2
hope this helps!!
calculate without using a calculator3√27+(-3√64
Answers
Answer:
[tex] 9 \sqrt{3 } -12 \sqrt{4} \\ 3 \sqrt{9 \times 3} - 3 \sqrt{16 \times 4 } \\ from \: here \: we \: see \: that \: the \: square \: root \: of \: 9 \: is \: 3 \: and \: square \: root \: of \: 16 \: is \: 4 \: so fnal \: answer \: is \\ 9 \sqrt{3} - 12 \sqrt{4} [/tex]
Step-by-step explanation:
from the question we see root 27 and root 64
so what we do next is we look for two numbers that we can multiply together to give 27 and 64 in which one if the number is a perfect square
for root 27 we use 9 and 3
for root 64 we use 16 and 4
The price of a train ticket from Lexington to Columbus is normally $165.00. However, the train company is
offering a special 85% discount to children under the age of 16. What is the sale price of a ticket from Lexington
to Columbus for someone under the age of 16?
O $140.25
O $305.25
O $24.75
O $34.65
Answers
165$*0,15=24.75$