Answer:
25
Step-by-step explanation:
Lets say it's a 30 day month. Sally really likes oranges so she eats them a lot.
if the angle of elevation of the sun is 40 degrees, and is decreasing 1/3 radians/hour how fast is the shadow of a 35m tall pole lengthening?
[tex] \frac{dx}{dt} = 28.2 \: \frac{m}{hr}[/tex]
Step-by-step explanation:
Let y = height of the pole = 35 m (constant)
x = length of the shadow
They are related as
[tex] \tan \theta = \frac{y}{x} [/tex]
or
[tex]x = \frac{y}{ \tan\theta } = y \cot \theta[/tex]
Taking the time derivative of the above expression and keeping in mind that y is constant, we get
[tex] \frac{dx}{dt} = y( - \csc^{2} \theta) \frac{d \theta}{dt} [/tex]
Before we plug in the numbers, let's convert the degree unit into radians:
[tex]40° \times ( \frac{\pi \: rad}{180°}) = \frac{2\pi}{9} \: radians[/tex]
Since the angle is decreasing, then d(theta)/dt is negative. Therefore, the rate at which the shadow is lengthening is
[tex] \frac{dx}{dt} = (35 \: m)( - \csc^{2} \frac{2\pi}{9} )( - \frac{1}{3} \frac{rad}{hr} )[/tex]
or
[tex] \frac{dx}{dt} = 28.2 \: \frac{m}{hr} [/tex]
the volume of a cuboid is 480cm cube,it's breadth and height are 8cm are 6cm respectively find its length
Factor the common factor out of each expression: 30+6k+18k^5
20
Select the correct pairs of triangles.
The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
Triangle 1: 55°, 45°
Triangle 2: 55°, 80°
Triangle 1: 103°, 32
Triangle 2: 103, 25°
Triangle 1: 73°, 47°
Triangle 2: 47°, 30°
Triangle 1: 105°, 23°
Triangle 2: 52°, 105
Triangle 1: 99, 41°
Triangle 2: 40°, 999
Reset
Next
Answer:
Your answer would be the third one
Step-by-step explanation:
Triangle 1 - 73, 45
Triangle 2 - 47, 30
Triangle 1: 105°, 23° and Triangle 2: 52°, 105 are similar.
Option (4) is correct.
What is a Triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices.
As per the given data:
We are given two angles for each pair of triangles, and we have to find out which of the pair of triangles are similar.
For any two triangles to be similar, it must have 2 angles which are having the same measure.
For, Triangle 1: 55°, 45° and Triangle 2: 55°, 80°
Only one angle is same, hence not similar.
Triangle 1: 103°, 32° and Triangle 2: 103°, 25°
Only one angle is same, hence not similar.
Triangle 1: 73°, 47° and Triangle 2: 47°, 30°
Only one angle is same, hence not similar.
Triangle 1: 105°, 23° and Triangle 2: 52°, 105
By using angle sum property in Triangle 1 the remaining angles is:
= 180 - (105 + 23) = 52°
By using angle sum property in Triangle 2 the remaining angles is:
= 180 - (52 + 105) = 23°
2 angles are same, hence similar.
Triangle 1: 99, 41° and Triangle 2: 40°, 99°
Only one angle is same, hence not similar.
Hence, Triangle 1: 105°, 23° and Triangle 2: 52°, 105 are similar.
To learn more on Triangle, click:
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What is the perimeter of the parallelogram???
Please help i'm struggling with this!
Answer:
second option is correct (for question no 20)
Step-by-step explanation:
coordinate points are:
(3,1) = (x1,y1)
(5,9) = (x2,y2)
slope (m) = y2-y1/x2-x1
=9-1/5-3
=8/2
=4
Now using slope intercept form
y=mx + b
y=4x + b
since the line passes through the point (3,1) it satisfies the equation
y=4x + b
1=4*3 + b
1-12 = b
-11 = b
substituting the value of b in equation
y=4x + b
y=4x +(-11)
y=4x - 11
If 3x - 4y = 15 and -2x + 3y = 10, then x - y = ?
Answer:
x - y = 25
Step-by-step explanation:
3x - 4y = 15
-2x + 3y = 10
Add the two equations together
3x - 4y = 15
-2x + 3y = 10
----------------------
x - y = 25
Answer:
[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]
>> 3x - 4y = 15
>> -2x + 3y = 10
Add the two equations together
>> 3x - 4y = 15
>> -2x + 3y = 10
----------------------
Hence, x - y = 25
What is the coefficient of the expression:
3n+4
Answer:
The coefficient is 3, the number right before the variable.
Answer:
3
Step-by-step explanation:
A car can travel 76 miles on 4 gallons of gasoline. How far can it travel on 8
gallons?
Answer:
152 gallons
Step-by-step explanation:
76÷4=19
19x8=152
Answer:
152 miles
Step-by-step explanation:
76 x 2 = 152
The area of a circle is 4π ft². What is the circumference, in feet? Express your answer in terms of \piπ.
Answer:
C = 4 pi ft
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
Solving for r
4 pi = pi r^2
Dividing each side by pi
4 = r^2
Taking the square root of each side
sqrt(4) = sqrt(r^2)
2 = r
Now we can find the circumference
C = 2 * pi *r
C = 2*pi*2
C = 4 pi ft
what is an expression showing the sum of 5 less than the number k
Answer:
5<k
Step-by-step explanation:
Answer:
k-5
Step-by-step explanation:
So, lets go over each part of the sentence, and turn it into a expression.
So it first says sum. This means addition, so we can start our expression with:
+
Next is says of 5. So we know its the addition of 5:
+5
Next it says less than. So now we know less than, which is subtraction. So we can swap the addition sign for a - sign:
-5
Finally it says the number k. So we know that the subtracted value is k:
k-5
So this is your expression!
Hope this helps!
(e+8)°
(3e-4°
Need help asap thx
Answer:
e=44°
Step-by-step explanation:
3e-4+e+8 = 180 degree (being linear pair)
4e+4=180
4e=180-4
4e=176
e=176/4
e=44 degree
The cost of a computer processor is directly proportional to its speed.
A 4GHz processor costs £400.
Find the cost of a 6GHz processor
Answer:
Step-by-step explanation:
If cost is directly proportional to speed, then the equation for this is
£ = ks, where k is the constant of proportionality. We need to solve for this first.
400 = k4 so
100 = k. Now we will use that k value in the next equation to find the cost of a 6GHz processor:
£ = (100)(6) so
£ = 600
Suppose the population of a small town is 567 in 2011. The population DECREASES at a
rate of 5% every year. What will be the population of the town in 2021? Round your answer
to the nearest whole number.
Answer:
2011: 567 2012: 567*(1-.015) 2013: 567*(1-.015)*(1-.015) 2014: 567*(1-.015)567*(1-.015)*(1-.015) you see the pattern; and, if so, you can build an little equation giving you the answer
Answer:
339
Step-by-step explanation:
a = 567 (.95)¹⁰
a = 339.4838445482
Rounded
339
What is the value of the expression 3^2 . (2^3 +4) _____________ 2^2
Answer:
The answer is [tex]3^3\times 2^2[/tex].
Step-by-step explanation:
According to the rules of exponents
a^n = a x a x a x .... n times
So,
[tex]3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}[/tex]
the value of each square root
Answer:
root 324=18
root 441=21
root 529=23
Step-by-step explanation:
root 324 = 18
root 441 = 21
root 524 = 23
B
20°
?
A
4.
С
( I need an answer )
Answer:
10.9899097
Step-by-step explanation:
Trigonometry.
Tan = opposite/adjacent
Adjacent = Opposite / Tan(20)
Is this right? ASAP PLS HURRY!
A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
Answer:
3mm brainliest please
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
9mm times 1:3 of the rectangle is 245
According to the graph, what is the factorization of x2 - 6x + 5?
A. (x + 5)(x+1)
B. (x - 5)(x+ 1)
C. (x - 5)(x - 1)
D. (x + 5)(x - 1)
The factorization of x2 - 6x + 5 is (x - 1)(x -5)
How to determine the factorization?From the graph, the zeros of the function are:
x = 1 and x = 5
Set the zeros to 0
x - 1 = 0 and x - 5 = 0
Multiply the zeros
(x - 1)(x -5) = 0
Hence, the factorization of x2 - 6x + 5 is (x - 1)(x -5)
Read more about factorization at:
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What is the value of x?
45°
m
(2x-5)
n
Answer:
x = 70
Step-by-step explanation:
The two angles are same side interior angles and same side interior angles add to 180
45+ (2x-5) = 180
Combine like terms
2x +40 = 180
Subtract 40 from each side
2x+40-40 =180-40
2x =140
Divide by 2
2x/2 = 140/2
x = 70
Answer:
x=70
Step-by-step explanation:
hope it helped! :)
have a nice day
Which of the following correctly maps figure ABCD onto figure EFGH? Select two that apply.
Answer:
Option A
Step-by-step explanation:
From the graph attached,
Distance of point A of rectangle ABCD = 5 units
Distance of point E of rectangle EFGH = 5 units
Similarly, all the vertices of the rectangles ABCD and EFGH are equidistant from the y-axis.
Therefore, rectangle ABCD and rectangle EFGH may overlap each other by reflecting each other across y-axis.
Let's check by the rule of reflection,
Rule for the reflection of a point (x, y) across y-axis is given by,
(x, y) → (-x, y)
Following this rule,
A(-5, 5) → E(5, 5)
B(-3, 4) → F(3, 4)
C(-4, 1) → G(4, 1)
D(-6, 2) → H(6, 2)
Therefore, rule for the reflection is applicable in this question.
Option A will be the answer.
Can i plz get some help been stuck for while
What is the volume of the shape shown
Answer:
Yea sure its 102.5meters squared
QUESTION 2
Simplify the following
a5×a7
Answer:
[tex]a^{12}[/tex]
Step-by-step explanation:
Identity Used : [tex]a^x \times a^y = a^{x+ y}[/tex]
[tex]a^5 \times a^7 = a^{5 + 7} = a^{12}[/tex]
aasaaaaaaaaaaaaaaaaaaaa
Answer:
mjmdsfkjdsfjdfdjkfhdkfdkfdjhkjhfk
Step-by-step explanation:
dfjdbfjfshdgdsjhdh
Answer:
aasaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
hee haw i beat u i put more a's in my answer
PLEASE HELP QUICK
graph and show work and i will give 30 points
Who has the most blue sweets?
chris 1/2
sam 1/4
raj 3/4
jade 1/3
Answer:
raj
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Have a nice day
Select the best answer to complete the sentence. A Rigid Motion or Isometry ______________________.
A. preserves length, angle measures and distance between points
B. preserves length and angle measures but not distance between points
C. is a transformation that changes the size of the figure
is a transformation with its image and pre-image not being congruent
Answer: A. preserves length, angle measures and distance between points
Rigid motions or isometries are any of the three transformations below
translation (aka shifting)rotationreflectionAny of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.
If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.
Please help I will give brainliest to whoever answer correct first
Is each statement true for OA? Drag “true” or “false” below each statement
Answer:
true. true. false.
Step-by-step explanation: i’m in love with the shape of u. we push and pull like magnet whatever
