We have that the distance in meters of the object is
[tex]d=687.55m[/tex]
From the Question we are told that
Angular diameter [tex]d_a= 30 arcseconds[/tex]
Linear diameter [tex]d_l= 10 cm=0.10m[/tex]
Generally the equation for Linear diameter is mathematically given as
[tex]d_l=\frac{d_a*d}{206265}[/tex]
Therefore
[tex]d=\frac{0.10m*206265}{30}[/tex]
[tex]d=687.55m[/tex]
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-22+(-16)=
Help me please
Answer:
[tex] - 22 + ( - 16) = - 22 - 16 = -3 8[/tex]
I hope I helped you^_^
Answer:
-38
Step-by-step explanation:
A good trick is to add it normally and just apply the sign
Evaluate the logarithm at the given value of x without using a calculator.
Function Value
g(x) = log_b(x) x = √b
9514 1404 393
Answer:
g(x) = 1/2
Step-by-step explanation:
The applicable relations are ...
[tex]\log_b(x)=a\ \Longleftrightarrow\ b^a=x\\\\\log_b(x^a)=a\cdot\log_b(x)\\\\\log_b(b)=1[/tex]
__
We want to find logb(x) for x = b^(1/2). Using the first relation, we see ...
g(x) = logb(x)
b^(g(x)) = b^(1/2) . . . . . using g(x) = a
g(x) = 1/2 . . . . . equating exponents
__
Alternatively, using the last two relations, we have x = b^(1/2), so ...
g(b^(1/2)) = logb(b^(1/2)) = (1/2)logb(b) = (1/2)(1)
g(x) = 1/2
_____
Additional comment
I find it useful to remember that a logarithm is an exponent. The first applicable relation shown above is a statement to that effect.
Round off 731 and 164 to the nearest tens.find The difference of the rounded off numbers.round off the difference to the nearest hundred
Answer:
731 and 164 rounded off to the nearest tens is 730 and 160.
the difference is 570
570. rounded off to the nearest hundred is 600
How do you calculate frequency? If there are 138 bright white phones out of 1301 total phones, how do I calculate the frequency?
300000000000000000000000
Is 0.6 a rational number
Answer:
The decimal 0.6 is a rational number. It is the decimal form of the fraction 6/10.
Answer:
Yes. 0.6 is a rational number.
QOX
7. A total of 2000 people attended a benefit
concert was held to raise money for a
children foundation. Student ticket cost $2
and an adult ticket cost $3. If the organizer
raises a total of $5050, how many students
attended the concert?
Let x = number of students
Let 2000 - x = number of adults
Need explanation
Answer: Student ticket cost $2 and an adult ticket cost $3.
257 kids total attended
Step-by-step explanation:
the mean of seven numbers is 15. when three numbers are added, the mean of ten numbers becomes 12. find the mean of the three numbers.
Answer:
3 is the value I guess because with seven it becomes 15 where as with 10 it become 12 so there is 3 numbers gap
I don't know exactly so I just try
Answer:
13 is the answer
Step-by-step explanation:
Detailed answer if possible I look to try and understand how to do this. So there is no need for a rushed answer just a detailed one so I can know how to do problems like these.
Answer:
yes
Step-by-step explanation:
I struggle with these, please help.
Answer:
5/12
Step-by-step explanation:
tan=opposite/adjacent
tan30=5/12
Answer:
Tanθ = opposite/adjacent
[tex] \tan(30) = \frac{5}{12} [/tex]
I hope I helped you^_^
there are 11 books on a shelf. 3 of these books are new The rest of them are used. Whats the ratio of all books on the shelf to used books
Answer:
9 used books
Step-by-step explanation:
there are 9 used books
solution:11-3=9
so therefore the answer is 9
plz help brainiest to whoever right
Answer:
They add up to equal 90 degrees.
Write down what you know from the markings
Answer:
Same makings on the lines and angles indicate they are congruent (have same measure).
As per drawing:
MI = MY as both line segments have same single marking.IC = KC as both line segments have same double marking.m∠M = m∠I as both angles have same angle marking.A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/ 18. Find the two integers.
Answer:
9 and 18
Step-by-step explanation:
Let the integers be a and 2a (since one is twice the other).
The reciprocals are 1/a and 1/(2a) respectively.
Difference means tk subtract.
So we have 1/a-1/(2a)=1/18
Multiply both sides by 18:.
18a/a-18a/(2a)=18a/18
Simplify:
18-9=a
Simplify:
9=a
If a=9, then 2a=18
The integers are 9 and 18.
Test:
1/9-1/18
2/18-1/18
1/18
Golden!
How do i express x^2-3x into the form of (x-m)^2+n.
I will give brainliest to first correct answer
Well this could be incredibly easy, by just saying [tex]m=0[/tex] and [tex]n=-3x[/tex].
This is a completely valid case but nevertheless seems too easy. The requirements are probably that n and m are integers or natural numbers but since that was not specified such probable requirement ought not to be followed.
Hope this helps :)
3729*846+289*3729-3729*135 can be solved using which property
Answer:
BODMAS
the answer is 3,729,000
Have a good day !
A 20 in board is to be cut into 3 pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece , find the length of all three pieces
Answer:
first piece: 2in
second piece: 8in
third piece: 10in
Step-by-step explanation:
We have
first piece + second piece + third piece = 20
second piece = 4 * first piece = 4x
third piece = 5 * first piece = 5x
x + second piece + third piece = 20
plug 4x in for the second piece, 5x in for the third
x + 4x + 5x = 20
combine like terms
10x = 20
divide both sides by 10 to isolate x
x = 2
second piece = 4x = 8
third piece = 5x = 10
The quadratic equation y = - 16t^2+ 56t+ 2 represents the height of a projectile,
y, in feet, at a particular time, t, in seconds.
For what interval or intervals of time will the projectile be above 26 feet?
Answer:
0.5 < x < 3
or (0.5, 3)
Step-by-step explanation:
-16t² + 56t + 2 = 26
Subtract both sides by 26
-16t² + 56t + 2 = 26
-26 -26
-16t² + 56t - 24 = 0
Divide both sides by -8 to simplify
(-16t² + 56t - 24)/8 = 0/8
2t² - 7t + 3 = 0
Factor
(x - 3)(2x - 1) = 0
Do this to find the x's
x - 3 = 0
+ 3 +3
x = 3
2x - 1 = 0
+ 1 + 1
2x = 1
2x/2 = 1/2
x = 0.5
0.5 < x < 3
This means the intervals will have to be between 0.5 and 3 seconds
25÷5 + 12+5×2 solve this bodmas sum
Answer:
5+12+5×2
5+12+10
27
According to BODMAS Rule the ans is 27
Answer:
27
Step-by-step explanation:
25÷5+ 12+5×2
=5+12+5x2
=5+12+10
=17+10
=27
Hope this helps! Thanks.
HELP ME OUT PLS … ……..
y = - 18 when x = 3 , find x when y = 30
Answer:
x=-5
Step-by-step explanation:
First create a ratio -18/3 = 30/x
Cross multiply -18x=90
90/-18=-5
x=-5
midpoint between (-5, 4) and (7, -5)
Answer:
(1, -1/2)
Step-by-step explanation:
Find the midpoint by finding the averages of the x coordinates and y coordinates:
(-5 + 7) / 2
2 / 2 = 1 (x coordinate)
(4 - 5) / 2
-1 / 2 = -1/2 (y coordinate)
So, the midpoint is (1, -1/2)
If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .
Divide through everything by b :
[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}[/tex]
Since a/b < c/d, it follows that
[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}[/tex]
Multiply through everything on the right side by b/d to get
[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd[/tex]
and so (a + c)/(b + d) < c/d.
For the other side, you can do something similar and divide through everything by d :
[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}[/tex]
and a/b < c/d tells us that
[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}[/tex]
Then
[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab[/tex]
and so (a + c)/(b + d) > a/b.
Then together we get the desired inequality.
Determine whether the variable is qualitative or quantitative.
breed of dog
Answer:
qualitative
Step-by-step explanation:
Breed of dog does not involve numbers: it's qualitative since dogs can have categories like "poodle" or "dachshund."
Fill in the blank
А______
is a general mapping or pairing of input values with output value
Your answer:
expression
equation
relation
inequality
derivative
Simplify the following expression and show your work in details please .
Answer:
Assuming you just want it simplifies, the answer would be m+5
Step-by-step explanation:
4m+5-3m -------> combining like factors
m+5
a right triangle has a hypotenuse of length 2 inches. if one angle is 38°, find the length of each leg
Answer:
21
Step-by-step explanation:
If there are 6 people,and each person has 3 coins,There are times as many coins as people
Answer the questions by drawing on the coordinate plane below. A) Draw the image of □PQR after a rotation of 180° about the origin. Label the image □ P'Q'R. B) Draw the image of □ PQR after a reflection across the x-axis. Label the image □P'Q'R. (Will Mark Brainliest. Show your work to get Brainliest.
Answer: See the attached image below
==========================================================
Explanation:
Part A
The rule for a 180 degree rotation about the origin is
[tex](x,y) \to (-x,-y)\\\\[/tex]
The x and y values flip in sign from positive to negative, or vice versa.
A point like P(1,-1) will move to P ' (-1, 1) as shown in the first diagram. Points Q and R follow the same idea.
Side note: It doesn't matter if we rotate clockwise or counterclockwise. We'll end up at the same result. This only works for 180 degree rotations.
----------------------------
Part B
When we apply an x-axis reflection, we apply this rule
[tex](x,y) \to (x,-y)\\\\[/tex]
This rule is nearly the same as the previous rule, but this time the x coordinate stays the same.
For example, the point P(1,-1) moves to P ' (1, 1)
The same applies to points Q and R as shown in the second diagram.
Which of the following measures the variability of a data set?
A. median
B. MAD
C. mode
D. mean
Answer:
A
Step-by-step explanation:
The answer is the median because it shows how data are being scattered
the central bank of the United States it the
Answer:
The Federal Reserve System, the central bank of the United States, was founded by Congress to provide a safe, flexible and stable monetary and financial system.